| 1 |  |  | """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  | Module containing data augmentation techniques. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  |   - 3D Affine/DDF Transforms for moving and fixed images. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  | """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  | from abc import abstractmethod | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  | from typing import Dict | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  | import numpy as np | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  | import tensorflow as tf | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  | from deepreg.model.layer import Resize3d | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  | from deepreg.model.layer_util import get_reference_grid, resample, warp_grid | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  | from deepreg.registry import REGISTRY | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  | class RandomTransformation3D(tf.keras.layers.Layer): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  |     """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  |     An interface for different types of transformation. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  |     """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 |  |  |     def __init__( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  |         self, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 |  |  |         moving_image_size: tuple, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  |         fixed_image_size: tuple, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  |         batch_size: int, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  |         name: str = "RandomTransformation3D", | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 |  |  |         trainable: bool = False, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  |     ): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 |  |  |         Abstract class for image transformation. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  |         :param moving_image_size: (m_dim1, m_dim2, m_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |         :param fixed_image_size: (f_dim1, f_dim2, f_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  |         :param batch_size: size of mini-batch | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |         :param name: name of layer | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |         :param trainable: if this layer is trainable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  |         super().__init__(trainable=trainable, name=name) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 |  |  |         self.moving_image_size = moving_image_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 |  |  |         self.fixed_image_size = fixed_image_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |         self.batch_size = batch_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  |         self.moving_grid_ref = get_reference_grid(grid_size=moving_image_size) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 |  |  |         self.fixed_grid_ref = get_reference_grid(grid_size=fixed_image_size) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |     @abstractmethod | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 |  |  |     def gen_transform_params(self) -> (tf.Tensor, tf.Tensor): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 |  |  |         Generates transformation parameters for moving and fixed image. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 |  |  |         :return: two tensors | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 54 |  |  |     @staticmethod | 
            
                                                                                                            
                            
            
                                    
            
            
                | 55 |  |  |     @abstractmethod | 
            
                                                                                                            
                            
            
                                    
            
            
                | 56 |  |  |     def transform( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 57 |  |  |         image: tf.Tensor, grid_ref: tf.Tensor, params: tf.Tensor | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |     ) -> tf.Tensor: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  |         Transforms the reference grid and then resample the image. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 |  |  |         :param image: shape = (batch, dim1, dim2, dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 |  |  |         :param grid_ref: shape = (dim1, dim2, dim3, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  |         :param params: parameters for transformation | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  |         :return: shape = (batch, dim1, dim2, dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |     def call(self, inputs: Dict[str, tf.Tensor], **kwargs) -> Dict[str, tf.Tensor]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 69 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 |  |  |         Creates random params for the input images and their labels, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 |  |  |         and params them based on the resampled reference grids. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  |         :param inputs: a dict having multiple tensors | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 |  |  |             if labeled: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  |                 moving_image, shape = (batch, m_dim1, m_dim2, m_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  |                 fixed_image, shape = (batch, f_dim1, f_dim2, f_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |                 moving_label, shape = (batch, m_dim1, m_dim2, m_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  |                 fixed_label, shape = (batch, f_dim1, f_dim2, f_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  |                 indices, shape = (batch, num_indices) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 |  |  |             else, unlabeled: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 |  |  |                 moving_image, shape = (batch, m_dim1, m_dim2, m_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 |  |  |                 fixed_image, shape = (batch, f_dim1, f_dim2, f_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  |                 indices, shape = (batch, num_indices) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 |  |  |         :param kwargs: other arguments | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 |  |  |         :return: dictionary with the same structure as inputs | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 86 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |         moving_image = inputs["moving_image"] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  |         fixed_image = inputs["fixed_image"] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 |  |  |         indices = inputs["indices"] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  |         moving_params, fixed_params = self.gen_transform_params() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 |  |  |         moving_image = self.transform(moving_image, self.moving_grid_ref, moving_params) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 |  |  |         fixed_image = self.transform(fixed_image, self.fixed_grid_ref, fixed_params) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 96 |  |  |         if "moving_label" not in inputs:  # unlabeled | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  |             return dict( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 98 |  |  |                 moving_image=moving_image, fixed_image=fixed_image, indices=indices | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  |             ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  |         moving_label = inputs["moving_label"] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  |         fixed_label = inputs["fixed_label"] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  |         moving_label = self.transform(moving_label, self.moving_grid_ref, moving_params) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 104 |  |  |         fixed_label = self.transform(fixed_label, self.fixed_grid_ref, fixed_params) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 105 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 106 |  |  |         return dict( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 107 |  |  |             moving_image=moving_image, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 108 |  |  |             fixed_image=fixed_image, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 109 |  |  |             moving_label=moving_label, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 110 |  |  |             fixed_label=fixed_label, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 111 |  |  |             indices=indices, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 112 |  |  |         ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 113 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 114 |  |  |     def get_config(self) -> dict: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 115 |  |  |         """Return the config dictionary for recreating this class.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 116 |  |  |         config = super().get_config() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 117 |  |  |         config["moving_image_size"] = self.moving_image_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 118 |  |  |         config["fixed_image_size"] = self.fixed_image_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 119 |  |  |         config["batch_size"] = self.batch_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 120 |  |  |         return config | 
            
                                                                                                            
                            
            
                                    
            
            
                | 121 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 |  |  | @REGISTRY.register_data_augmentation(name="affine") | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 |  |  | class RandomAffineTransform3D(RandomTransformation3D): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  |     """Apply random affine transformation to moving/fixed images separately.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 127 |  |  |     def __init__( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 |  |  |         self, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 |  |  |         moving_image_size: tuple, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 |  |  |         fixed_image_size: tuple, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 |  |  |         batch_size: int, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  |         scale: float = 0.1, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  |         name: str = "RandomAffineTransform3D", | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  |         **kwargs, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 135 |  |  |     ): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  |         Init. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 |  |  |         :param moving_image_size: (m_dim1, m_dim2, m_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  |         :param fixed_image_size: (f_dim1, f_dim2, f_dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 |  |  |         :param batch_size: size of mini-batch | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  |         :param scale: a positive float controlling the scale of transformation | 
            
                                                                                                            
                            
            
                                    
            
            
                | 143 |  |  |         :param name: name of the layer | 
            
                                                                                                            
                            
            
                                    
            
            
                | 144 |  |  |         :param kwargs: extra arguments | 
            
                                                                                                            
                            
            
                                    
            
            
                | 145 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 146 |  |  |         super().__init__( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 147 |  |  |             moving_image_size=moving_image_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 148 |  |  |             fixed_image_size=fixed_image_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 149 |  |  |             batch_size=batch_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 150 |  |  |             name=name, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 151 |  |  |             **kwargs, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 152 |  |  |         ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 153 |  |  |         self.scale = scale | 
            
                                                                                                            
                            
            
                                    
            
            
                | 154 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 155 |  |  |     def get_config(self) -> dict: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 156 |  |  |         """Return the config dictionary for recreating this class.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 157 |  |  |         config = super().get_config() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 158 |  |  |         config["scale"] = self.scale | 
            
                                                                                                            
                            
            
                                    
            
            
                | 159 |  |  |         return config | 
            
                                                                                                            
                            
            
                                    
            
            
                | 160 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 161 |  |  |     def gen_transform_params(self) -> (tf.Tensor, tf.Tensor): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 162 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 163 |  |  |         Function that generates the random 3D transformation parameters | 
            
                                                                                                            
                            
            
                                    
            
            
                | 164 |  |  |         for a batch of data for moving and fixed image. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 165 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 166 |  |  |         :return: a tuple of tensors, each has shape = (batch, 4, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 167 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 168 |  |  |         theta = gen_rand_affine_transform( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 169 |  |  |             batch_size=self.batch_size * 2, scale=self.scale | 
            
                                                                                                            
                            
            
                                    
            
            
                | 170 |  |  |         ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 171 |  |  |         return theta[: self.batch_size], theta[self.batch_size :] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 172 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 173 |  |  |     @staticmethod | 
            
                                                                                                            
                            
            
                                    
            
            
                | 174 |  |  |     def transform( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 175 |  |  |         image: tf.Tensor, grid_ref: tf.Tensor, params: tf.Tensor | 
            
                                                                                                            
                            
            
                                    
            
            
                | 176 |  |  |     ) -> tf.Tensor: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 177 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 178 |  |  |         Transforms the reference grid and then resample the image. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 179 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 180 |  |  |         :param image: shape = (batch, dim1, dim2, dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 181 |  |  |         :param grid_ref: shape = (dim1, dim2, dim3, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 182 |  |  |         :param params: shape = (batch, 4, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 183 |  |  |         :return: shape = (batch, dim1, dim2, dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 184 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 185 |  |  |         return resample(vol=image, loc=warp_grid(grid_ref, params)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 186 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 187 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 188 |  |  | @REGISTRY.register_data_augmentation(name="ddf") | 
            
                                                                                                            
                            
            
                                    
            
            
                | 189 |  |  | class RandomDDFTransform3D(RandomTransformation3D): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 190 |  |  |     """Apply random DDF transformation to moving/fixed images separately.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 191 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 192 |  |  |     def __init__( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 193 |  |  |         self, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 194 |  |  |         moving_image_size: tuple, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 195 |  |  |         fixed_image_size: tuple, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 196 |  |  |         batch_size: int, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 197 |  |  |         field_strength: int = 1, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 198 |  |  |         low_res_size: tuple = (1, 1, 1), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 199 |  |  |         name: str = "RandomDDFTransform3D", | 
            
                                                                                                            
                            
            
                                    
            
            
                | 200 |  |  |         **kwargs, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 201 |  |  |     ): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 202 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 203 |  |  |         Creates a DDF transformation for data augmentation. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 204 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 205 |  |  |         To simulate smooth deformation fields, we interpolate from a low resolution | 
            
                                                                                                            
                            
            
                                    
            
            
                | 206 |  |  |         field of size low_res_size using linear interpolation. The variance of the | 
            
                                                                                                            
                            
            
                                    
            
            
                | 207 |  |  |         deformation field is drawn from a uniform variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 208 |  |  |         between [0, field_strength]. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 209 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 210 |  |  |         :param moving_image_size: tuple | 
            
                                                                                                            
                            
            
                                    
            
            
                | 211 |  |  |         :param fixed_image_size: tuple | 
            
                                                                                                            
                            
            
                                    
            
            
                | 212 |  |  |         :param batch_size: int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 213 |  |  |         :param field_strength: int = 1. It is used as the upper bound for the | 
            
                                                                                                            
                            
            
                                    
            
            
                | 214 |  |  |         deformation field variance | 
            
                                                                                                            
                            
            
                                    
            
            
                | 215 |  |  |         :param low_res_size: tuple = (1, 1, 1). | 
            
                                                                                                            
                            
            
                                    
            
            
                | 216 |  |  |         :param name: name of layer | 
            
                                                                                                            
                            
            
                                    
            
            
                | 217 |  |  |         :param kwargs: extra arguments | 
            
                                                                                                            
                            
            
                                    
            
            
                | 218 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 219 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 220 |  |  |         super().__init__( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 221 |  |  |             moving_image_size=moving_image_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 222 |  |  |             fixed_image_size=fixed_image_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 223 |  |  |             batch_size=batch_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 224 |  |  |             name=name, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 225 |  |  |             **kwargs, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 226 |  |  |         ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 227 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 228 |  |  |         assert tuple(low_res_size) <= tuple(moving_image_size) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 229 |  |  |         assert tuple(low_res_size) <= tuple(fixed_image_size) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 230 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 231 |  |  |         self.field_strength = field_strength | 
            
                                                                                                            
                            
            
                                    
            
            
                | 232 |  |  |         self.low_res_size = low_res_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 233 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 234 |  |  |     def get_config(self) -> dict: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 235 |  |  |         """Return the config dictionary for recreating this class.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 236 |  |  |         config = super().get_config() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 237 |  |  |         config["field_strength"] = self.field_strength | 
            
                                                                                                            
                            
            
                                    
            
            
                | 238 |  |  |         config["low_res_size"] = self.low_res_size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 239 |  |  |         return config | 
            
                                                                                                            
                            
            
                                    
            
            
                | 240 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 241 |  |  |     def gen_transform_params(self) -> (tf.Tensor, tf.Tensor): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 242 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 243 |  |  |         Generates two random ddf fields for moving and fixed images. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 244 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 245 |  |  |         :return: tuple, one has shape = (batch, m_dim1, m_dim2, m_dim3, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 246 |  |  |             another one has shape = (batch, f_dim1, f_dim2, f_dim3, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 247 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 248 |  |  |         kwargs = dict( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 249 |  |  |             batch_size=self.batch_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 250 |  |  |             field_strength=self.field_strength, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 251 |  |  |             low_res_size=self.low_res_size, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 252 |  |  |         ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 253 |  |  |         moving = gen_rand_ddf(image_size=self.moving_image_size, **kwargs) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 254 |  |  |         fixed = gen_rand_ddf(image_size=self.fixed_image_size, **kwargs) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 255 |  |  |         return moving, fixed | 
            
                                                                                                            
                            
            
                                    
            
            
                | 256 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 257 |  |  |     @staticmethod | 
            
                                                                                                            
                            
            
                                    
            
            
                | 258 |  |  |     def transform( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 259 |  |  |         image: tf.Tensor, grid_ref: tf.Tensor, params: tf.Tensor | 
            
                                                                                                            
                            
            
                                    
            
            
                | 260 |  |  |     ) -> tf.Tensor: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 261 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 262 |  |  |         Transforms the reference grid and then resample the image. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 263 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 264 |  |  |         :param image: shape = (batch, dim1, dim2, dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 265 |  |  |         :param grid_ref: shape = (dim1, dim2, dim3, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 266 |  |  |         :param params: DDF, shape = (batch, dim1, dim2, dim3, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 267 |  |  |         :return: shape = (batch, dim1, dim2, dim3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 268 |  |  |         """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 269 |  |  |         return resample(vol=image, loc=grid_ref[None, ...] + params) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 270 |  |  |  | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 271 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 272 |  |  | def resize_inputs( | 
            
                                                                        
                            
            
                                    
            
            
                | 273 |  |  |     inputs: Dict[str, tf.Tensor], moving_image_size: tuple, fixed_image_size: tuple | 
            
                                                                        
                            
            
                                    
            
            
                | 274 |  |  | ) -> Dict[str, tf.Tensor]: | 
            
                                                                        
                            
            
                                    
            
            
                | 275 |  |  |     """ | 
            
                                                                        
                            
            
                                    
            
            
                | 276 |  |  |     Resize inputs | 
            
                                                                        
                            
            
                                    
            
            
                | 277 |  |  |     :param inputs: | 
            
                                                                        
                            
            
                                    
            
            
                | 278 |  |  |         if labeled: | 
            
                                                                        
                            
            
                                    
            
            
                | 279 |  |  |             moving_image, shape = (None, None, None) | 
            
                                                                        
                            
            
                                    
            
            
                | 280 |  |  |             fixed_image, shape = (None, None, None) | 
            
                                                                        
                            
            
                                    
            
            
                | 281 |  |  |             moving_label, shape = (None, None, None) | 
            
                                                                        
                            
            
                                    
            
            
                | 282 |  |  |             fixed_label, shape = (None, None, None) | 
            
                                                                        
                            
            
                                    
            
            
                | 283 |  |  |             indices, shape = (num_indices, ) | 
            
                                                                        
                            
            
                                    
            
            
                | 284 |  |  |         else, unlabeled: | 
            
                                                                        
                            
            
                                    
            
            
                | 285 |  |  |             moving_image, shape = (None, None, None) | 
            
                                                                        
                            
            
                                    
            
            
                | 286 |  |  |             fixed_image, shape = (None, None, None) | 
            
                                                                        
                            
            
                                    
            
            
                | 287 |  |  |             indices, shape = (num_indices, ) | 
            
                                                                        
                            
            
                                    
            
            
                | 288 |  |  |     :param moving_image_size: tuple, (m_dim1, m_dim2, m_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 289 |  |  |     :param fixed_image_size: tuple, (f_dim1, f_dim2, f_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 290 |  |  |     :return: | 
            
                                                                        
                            
            
                                    
            
            
                | 291 |  |  |         if labeled: | 
            
                                                                        
                            
            
                                    
            
            
                | 292 |  |  |             moving_image, shape = (m_dim1, m_dim2, m_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 293 |  |  |             fixed_image, shape = (f_dim1, f_dim2, f_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 294 |  |  |             moving_label, shape = (m_dim1, m_dim2, m_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 295 |  |  |             fixed_label, shape = (f_dim1, f_dim2, f_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 296 |  |  |             indices, shape = (num_indices, ) | 
            
                                                                        
                            
            
                                    
            
            
                | 297 |  |  |         else, unlabeled: | 
            
                                                                        
                            
            
                                    
            
            
                | 298 |  |  |             moving_image, shape = (m_dim1, m_dim2, m_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 299 |  |  |             fixed_image, shape = (f_dim1, f_dim2, f_dim3) | 
            
                                                                        
                            
            
                                    
            
            
                | 300 |  |  |             indices, shape = (num_indices, ) | 
            
                                                                        
                            
            
                                    
            
            
                | 301 |  |  |     """ | 
            
                                                                        
                            
            
                                    
            
            
                | 302 |  |  |     moving_image = inputs["moving_image"] | 
            
                                                                        
                            
            
                                    
            
            
                | 303 |  |  |     fixed_image = inputs["fixed_image"] | 
            
                                                                        
                            
            
                                    
            
            
                | 304 |  |  |     indices = inputs["indices"] | 
            
                                                                        
                            
            
                                    
            
            
                | 305 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 306 |  |  |     moving_resize_layer = Resize3d(shape=moving_image_size) | 
            
                                                                        
                            
            
                                    
            
            
                | 307 |  |  |     fixed_resize_layer = Resize3d(shape=fixed_image_size) | 
            
                                                                        
                            
            
                                    
            
            
                | 308 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 309 |  |  |     moving_image = moving_resize_layer(moving_image) | 
            
                                                                        
                            
            
                                    
            
            
                | 310 |  |  |     fixed_image = fixed_resize_layer(fixed_image) | 
            
                                                                        
                            
            
                                    
            
            
                | 311 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 312 |  |  |     if "moving_label" not in inputs:  # unlabeled | 
            
                                                                        
                            
            
                                    
            
            
                | 313 |  |  |         return dict(moving_image=moving_image, fixed_image=fixed_image, indices=indices) | 
            
                                                                        
                            
            
                                    
            
            
                | 314 |  |  |     moving_label = inputs["moving_label"] | 
            
                                                                        
                            
            
                                    
            
            
                | 315 |  |  |     fixed_label = inputs["fixed_label"] | 
            
                                                                        
                            
            
                                    
            
            
                | 316 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 317 |  |  |     moving_label = moving_resize_layer(moving_label) | 
            
                                                                        
                            
            
                                    
            
            
                | 318 |  |  |     fixed_label = fixed_resize_layer(fixed_label) | 
            
                                                                        
                            
            
                                    
            
            
                | 319 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 320 |  |  |     return dict( | 
            
                                                                        
                            
            
                                    
            
            
                | 321 |  |  |         moving_image=moving_image, | 
            
                                                                        
                            
            
                                    
            
            
                | 322 |  |  |         fixed_image=fixed_image, | 
            
                                                                        
                            
            
                                    
            
            
                | 323 |  |  |         moving_label=moving_label, | 
            
                                                                        
                            
            
                                    
            
            
                | 324 |  |  |         fixed_label=fixed_label, | 
            
                                                                        
                            
            
                                    
            
            
                | 325 |  |  |         indices=indices, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 326 |  |  |     ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 327 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 328 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 329 |  |  | def gen_rand_affine_transform( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 330 |  |  |     batch_size: int, scale: float, seed: (int, None) = None | 
            
                                                                                                            
                            
            
                                    
            
            
                | 331 |  |  | ) -> tf.Tensor: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 332 |  |  |     """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 333 |  |  |     Function that generates a random 3D transformation parameters for a batch of data. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 334 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 335 |  |  |     for 3D coordinates, affine transformation is | 
            
                                                                                                            
                            
            
                                    
            
            
                | 336 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 337 |  |  |     .. code-block:: text | 
            
                                                                                                            
                            
            
                                    
            
            
                | 338 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 339 |  |  |         [[x' y' z' 1]] = [[x y z 1]] * [[* * * 0] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 340 |  |  |                                         [* * * 0] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 341 |  |  |                                         [* * * 0] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 342 |  |  |                                         [* * * 1]] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 343 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 344 |  |  |     where each * represents a degree of freedom, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 345 |  |  |     so there are in total 12 degrees of freedom | 
            
                                                                                                            
                            
            
                                    
            
            
                | 346 |  |  |     the equation can be denoted as | 
            
                                                                                                            
                            
            
                                    
            
            
                | 347 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 348 |  |  |         new = old * T | 
            
                                                                                                            
                            
            
                                    
            
            
                | 349 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 350 |  |  |     where | 
            
                                                                                                            
                            
            
                                    
            
            
                | 351 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 352 |  |  |     - new is the transformed coordinates, of shape (1, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 353 |  |  |     - old is the original coordinates, of shape (1, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 354 |  |  |     - T is the transformation matrix, of shape (4, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 355 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 356 |  |  |     the equation can be simplified to | 
            
                                                                                                            
                            
            
                                    
            
            
                | 357 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 358 |  |  |     .. code-block:: text | 
            
                                                                                                            
                            
            
                                    
            
            
                | 359 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 360 |  |  |         [[x' y' z']] = [[x y z 1]] * [[* * *] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 361 |  |  |                                       [* * *] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 362 |  |  |                                       [* * *] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 363 |  |  |                                       [* * *]] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 364 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 365 |  |  |     so that | 
            
                                                                                                            
                            
            
                                    
            
            
                | 366 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 367 |  |  |         new = old * T | 
            
                                                                                                            
                            
            
                                    
            
            
                | 368 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 369 |  |  |     where | 
            
                                                                                                            
                            
            
                                    
            
            
                | 370 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 371 |  |  |     - new is the transformed coordinates, of shape (1, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 372 |  |  |     - old is the original coordinates, of shape (1, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 373 |  |  |     - T is the transformation matrix, of shape (4, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 374 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 375 |  |  |     Given original and transformed coordinates, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 376 |  |  |     we can calculate the transformation matrix using | 
            
                                                                                                            
                            
            
                                    
            
            
                | 377 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 378 |  |  |         x = np.linalg.lstsq(a, b) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 379 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 380 |  |  |     such that | 
            
                                                                                                            
                            
            
                                    
            
            
                | 381 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 382 |  |  |         a x = b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 383 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 384 |  |  |     In our case, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 385 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 386 |  |  |     - a = old | 
            
                                                                                                            
                            
            
                                    
            
            
                | 387 |  |  |     - b = new | 
            
                                                                                                            
                            
            
                                    
            
            
                | 388 |  |  |     - x = T | 
            
                                                                                                            
                            
            
                                    
            
            
                | 389 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 390 |  |  |     To generate random transformation, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 391 |  |  |     we choose to add random perturbation to corner coordinates as follows: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 392 |  |  |     for corner of coordinates (x, y, z), the noise is | 
            
                                                                                                            
                            
            
                                    
            
            
                | 393 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 394 |  |  |         -(x, y, z) .* (r1, r2, r3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 395 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 396 |  |  |     where ri is a random number between (0, scale). | 
            
                                                                                                            
                            
            
                                    
            
            
                | 397 |  |  |     So | 
            
                                                                                                            
                            
            
                                    
            
            
                | 398 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 399 |  |  |         (x', y', z') = (x, y, z) .* (1-r1, 1-r2, 1-r3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 400 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 401 |  |  |     Thus, we can directly sample between 1-scale and 1 instead | 
            
                                                                                                            
                            
            
                                    
            
            
                | 402 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 403 |  |  |     We choose to calculate the transformation based on | 
            
                                                                                                            
                            
            
                                    
            
            
                | 404 |  |  |     four corners in a cube centered at (0, 0, 0). | 
            
                                                                                                            
                            
            
                                    
            
            
                | 405 |  |  |     A cube is shown as below, where | 
            
                                                                                                            
                            
            
                                    
            
            
                | 406 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 407 |  |  |     - C = (-1, -1, -1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 408 |  |  |     - G = (-1, -1, 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 409 |  |  |     - D = (-1, 1, -1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 410 |  |  |     - A = (1, -1, -1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 411 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 412 |  |  |     .. code-block:: text | 
            
                                                                                                            
                            
            
                                    
            
            
                | 413 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 414 |  |  |                     G — — — — — — — — H | 
            
                                                                                                            
                            
            
                                    
            
            
                | 415 |  |  |                   / |               / | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 416 |  |  |                 /   |             /   | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 417 |  |  |               /     |           /     | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 418 |  |  |             /       |         /       | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 419 |  |  |           /         |       /         | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 420 |  |  |         E — — — — — — — — F           | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 421 |  |  |         |           |     |           | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 422 |  |  |         |           |     |           | | 
            
                                                                                                            
                            
            
                                    
            
            
                | 423 |  |  |         |           C — — | — — — — — D | 
            
                                                                                                            
                            
            
                                    
            
            
                | 424 |  |  |         |         /       |         / | 
            
                                                                                                            
                            
            
                                    
            
            
                | 425 |  |  |         |       /         |       / | 
            
                                                                                                            
                            
            
                                    
            
            
                | 426 |  |  |         |     /           |     / | 
            
                                                                                                            
                            
            
                                    
            
            
                | 427 |  |  |         |   /             |   / | 
            
                                                                                                            
                            
            
                                    
            
            
                | 428 |  |  |         | /               | / | 
            
                                                                                                            
                            
            
                                    
            
            
                | 429 |  |  |         A — — — — — — — — B | 
            
                                                                                                            
                            
            
                                    
            
            
                | 430 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 431 |  |  |     :param batch_size: int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 432 |  |  |     :param scale: a float number between 0 and 1 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 433 |  |  |     :param seed: control the randomness | 
            
                                                                                                            
                            
            
                                    
            
            
                | 434 |  |  |     :return: shape = (batch, 4, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 435 |  |  |     """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 436 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 437 |  |  |     assert 0 <= scale <= 1 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 438 |  |  |     np.random.seed(seed) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 439 |  |  |     noise = np.random.uniform(1 - scale, 1, [batch_size, 4, 3])  # shape = (batch, 4, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 440 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 441 |  |  |     # old represents four corners of a cube | 
            
                                                                                                            
                            
            
                                    
            
            
                | 442 |  |  |     # corresponding to the corner C G D A as shown above | 
            
                                                                                                            
                            
            
                                    
            
            
                | 443 |  |  |     old = np.tile( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 444 |  |  |         [[[-1, -1, -1, 1], [-1, -1, 1, 1], [-1, 1, -1, 1], [1, -1, -1, 1]]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 445 |  |  |         [batch_size, 1, 1], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 446 |  |  |     )  # shape = (batch, 4, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 447 |  |  |     new = old[:, :, :3] * noise  # shape = (batch, 4, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 448 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 449 |  |  |     theta = np.array( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 450 |  |  |         [np.linalg.lstsq(old[k], new[k], rcond=-1)[0] for k in range(batch_size)] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 451 |  |  |     )  # shape = (batch, 4, 3) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 452 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 453 |  |  |     return tf.cast(theta, dtype=tf.float32) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 454 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 455 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 456 |  |  | def gen_rand_ddf( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 457 |  |  |     batch_size: int, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 458 |  |  |     image_size: tuple, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 459 |  |  |     field_strength: (tuple, list), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 460 |  |  |     low_res_size: (tuple, list), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 461 |  |  |     seed: (int, None) = None, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 462 |  |  | ) -> tf.Tensor: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 463 |  |  |     """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 464 |  |  |     Function that generates a random 3D DDF for a batch of data. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 465 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 466 |  |  |     :param batch_size: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 467 |  |  |     :param image_size: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 468 |  |  |     :param field_strength: maximum field strength, computed as a U[0,field_strength] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 469 |  |  |     :param low_res_size: low_resolution deformation field that will be upsampled to | 
            
                                                                                                            
                            
            
                                    
            
            
                | 470 |  |  |         the original size in order to get smooth and more realistic fields. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 471 |  |  |     :param seed: control the randomness | 
            
                                                                                                            
                            
            
                                    
            
            
                | 472 |  |  |     :return: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 473 |  |  |     """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 474 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 475 |  |  |     np.random.seed(seed) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 476 |  |  |     low_res_strength = np.random.uniform(0, field_strength, (batch_size, 1, 1, 1, 3)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 477 |  |  |     low_res_field = low_res_strength * np.random.randn( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 478 |  |  |         batch_size, low_res_size[0], low_res_size[1], low_res_size[2], 3 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 479 |  |  |     ) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 480 |  |  |     high_res_field = Resize3d(shape=image_size)(low_res_field) | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 481 |  |  |     return high_res_field | 
            
                                                        
            
                                    
            
            
                | 482 |  |  |  |