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                # Copyright 2014 Diamond Light Source Ltd.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # Licensed under the Apache License, Version 2.0 (the "License");  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # you may not use this file except in compliance with the License.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # You may obtain a copy of the License at  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                #     http://www.apache.org/licenses/LICENSE-2.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # Unless required by applicable law or agreed to in writing, software  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # distributed under the License is distributed on an "AS IS" BASIS,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # See the License for the specific language governing permissions and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # limitations under the License.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                .. module:: astra_recon_gpu  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   :platform: Unix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   :synopsis: Wrapper around the Astra toolbox for gpu reconstruction using vector geometry  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                .. moduleauthor:: Mark Basham <[email protected]>  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import astra  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import numpy as np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from savu.plugins.reconstructions.astra_recons.base_astra_vector_recon \  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    import BaseAstraVectorRecon  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from savu.plugins.driver.gpu_plugin import GpuPlugin  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from savu.plugins.utils import register_plugin  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from savu.core.iterate_plugin_group_utils import \  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    check_if_end_plugin_in_iterate_group  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @register_plugin  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class AstraReconGpu(BaseAstraVectorRecon, GpuPlugin):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def __init__(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        super(AstraReconGpu, self).__init__("AstraReconGpu") | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.GPU_index = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.res = False  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.start = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def set_options(self, cfg):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if 'option' not in cfg.keys():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            cfg['option'] = {} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        cfg['option']['GPUindex'] = self.parameters['GPU_index']  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return cfg  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # total number of output datasets  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    def nOutput_datasets(self):  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        alg = self.parameters['algorithm']  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if self.parameters['res_norm'] is True and 'FBP' not in alg \  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            and check_if_end_plugin_in_iterate_group(self.exp):  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            err_str = "The res_norm output dataset has not yet been " \  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                "implemented for when AstraReconGpu is at the end of an " \  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                "iterative loop"  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            raise ValueError(err_str)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        elif self.parameters['res_norm'] is True and 'FBP' not in alg:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.res = True  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.parameters['out_datasets'].append('res_norm') | 
            
            
                                                                        
                            
            
                                    
            
            
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                            return 2  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        elif check_if_end_plugin_in_iterate_group(self.exp):  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            return 2  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        else:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            return 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def astra_setup(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        options_list = ["FBP_CUDA", "SIRT_CUDA", "SART_CUDA", "CGLS_CUDA",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                        "FP_CUDA", "BP_CUDA", "BP3D_CUDA", "FBP3D_CUDA", "SIRT3D_CUDA", "CGLS3D_CUDA"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if not options_list.count(self.parameters['algorithm']):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            raise Exception("Unknown Astra GPU algorithm.") | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def astra_2D_vector_recon(self, data):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        sino = data[0]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        cor, angles, vol_shape, init = self.get_frame_params()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if self.res:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            res = np.zeros(self.len_res)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # create volume geom  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        vol_geom = astra.create_vol_geom(vol_shape)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # create projection geom  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        det_width = sino.shape[self.dim_detX]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        half_det_width = 0.5 * det_width  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        cor_astra_scalar = half_det_width - cor  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # set parallel beam vector geometry  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        vectors = self.vec_geom_init2D(np.deg2rad(angles), 1.0, cor_astra_scalar - 0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        try:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            # vector geometry (astra > 1.9v)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            proj_geom = astra.create_proj_geom('parallel_vec', det_width, vectors) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        except:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            print('Warning: using scalar geometry since the Astra version <1.9 does not support the vector one for 2D') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            proj_geom = astra.create_proj_geom('parallel', 1.0, det_width, angles) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        sino = np.transpose(sino, (self.dim_rot, self.dim_detX))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Create a data object to hold the sinogram data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        sino_id = astra.data2d.create('-sino', proj_geom, sino) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # create reconstruction id  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if init is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            rec_id = astra.data2d.create('-vol', vol_geom, init) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            rec_id = astra.data2d.create('-vol', vol_geom) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        #        if self.mask_id:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        #            self.mask_id = astra.data2d.create('-vol', vol_geom, self.mask) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # setup configuration options  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        cfg = self.set_config(rec_id, sino_id, proj_geom, vol_geom)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # create algorithm id  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        alg_id = astra.algorithm.create(cfg)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # run algorithm  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if self.res:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            for j in range(self.iters):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                # Run a single iteration  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                astra.algorithm.run(alg_id, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                res[j] = astra.algorithm.get_res_norm(alg_id)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            astra.algorithm.run(alg_id, self.iters)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # get reconstruction matrix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if self.manual_mask is not False:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            recon = self.manual_mask * astra.data2d.get(rec_id)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            recon = astra.data2d.get(rec_id)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # delete geometry  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.delete(alg_id, sino_id, rec_id, False)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return [recon, res] if self.res else recon  | 
            
                            
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                    def astra_3D_vector_recon(self, data):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                                                     | 
                
                 | 
                        proj_data3d = data[0]  # get 3d block of projection data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                                                     | 
                
                 | 
                        cor, angles, vol_shape, init = self.get_frame_params()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                        projection_shifts2d = self.get_frame_shifts()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                        half_det_width = 0.5 * proj_data3d.shape[self.sino_dim_detX]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                        cor_astra_scalar = half_det_width - np.mean(cor)  # works with scalar CoR only atm  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                        recon = np.zeros(vol_shape)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                        recon = np.expand_dims(recon, axis=self.slice_dir)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                        if self.res:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                            res = np.zeros((self.vol_shape[self.slice_dir], self.iters))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                        # create volume geometry  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                        vol_geom = \  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                            astra.create_vol_geom(vol_shape[0], vol_shape[2], vol_shape[1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                        # define astra vector geometry for 3d case  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                        vectors3d = self.vec_geom_init3D(np.deg2rad(angles + 90.0), 1.0, 1.0, cor_astra_scalar - 0.5,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                                                         projection_shifts2d)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                        proj_geom = astra.create_proj_geom('parallel3d_vec', | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                                                           proj_data3d.shape[self.sino_dim_detY],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                                                           proj_data3d.shape[self.sino_dim_detX],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                                                           vectors3d)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                        proj_data3d = np.swapaxes(proj_data3d, 0, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                        if self.parameters['algorithm'] == "FBP3D_CUDA":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                            # pre-filter projection data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                            proj_data3d = self.filtersinc3d(proj_data3d)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                        # create projection data id  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                        proj_id = astra.data3d.create("-sino", proj_geom, proj_data3d) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                        # create reconstruction id  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                        if init is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                            rec_id = astra.data3d.create('-vol', vol_geom, init) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                            rec_id = astra.data3d.create('-vol', vol_geom) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                        # setup configuration options  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                        cfg = self.set_config(rec_id, proj_id, proj_geom, vol_geom)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                        if self.parameters['algorithm'] == "FBP3D_CUDA":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                            cfg['type'] = 'BP3D_CUDA'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                        # create algorithm id  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                        alg_id = astra.algorithm.create(cfg)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                        # run algorithm  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                        if self.res:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                            for j in range(self.iters):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                                # Run a single iteration  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                                astra.algorithm.run(alg_id, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                                res[j] = astra.algorithm.get_res_norm(alg_id)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                            astra.algorithm.run(alg_id, self.iters)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                        # get reconstruction matrix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                        # if self.manual_mask:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                        #    recon = self.mask*astra.data3d.get(rec_id)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                        # else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                        #    recon = astra.data3d.get(rec_id)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                        recon = np.transpose(astra.data3d.get(rec_id), (2, 0, 1))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                        # delete geometry  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                        self.delete(alg_id, proj_id, rec_id, False)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                        self.start += 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                        if self.res:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                            return [recon, res]  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                            return recon  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                    def rotation_matrix2D(self, theta):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                        # define 2D rotation matrix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                        return np.array([[np.cos(theta), -np.sin(theta)],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                                         [np.sin(theta), np.cos(theta)]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                    def rotation_matrix3D(self, theta):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                        # define 3D rotation matrix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                        return np.array([[np.cos(theta), -np.sin(theta), 0.0],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                                         [np.sin(theta), np.cos(theta), 0.0],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                                         [0.0, 0.0, 1.0]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                    def vec_geom_init2D(self, angles_rad, DetectorSpacingX, CenterRotOffset):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                        # define 2D vector geometry  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                        s0 = [0.0, -1.0]  # source  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                        d0 = [CenterRotOffset, 0.0]  # detector  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                        u0 = [DetectorSpacingX, 0.0]  # detector coordinates  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                        vectors = np.zeros([angles_rad.size, 6])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                        for i in range(0, angles_rad.size):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                            theta = angles_rad[i]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                            vec_temp = np.dot(self.rotation_matrix2D(theta), s0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                            vectors[i, 0:2] = vec_temp[:]  # ray position  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                            vec_temp = np.dot(self.rotation_matrix2D(theta), d0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                            vectors[i, 2:4] = vec_temp[:]  # center of detector position  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                            vec_temp = np.dot(self.rotation_matrix2D(theta), u0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                            vectors[i, 4:6] = vec_temp[:]  # detector pixel (0,0) to (0,1).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                        return vectors  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                    def vec_geom_init3D(self, angles_rad, DetectorSpacingX, DetectorSpacingY, CenterRotOffset, projection_shifts2d):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                        # define 3D vector geometry  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                        s0 = [0.0, -1.0, 0.0]  # source  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                        u0 = [DetectorSpacingX, 0.0, 0.0]  # detector coordinates  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                        v0 = [0.0, 0.0, DetectorSpacingY]  # detector coordinates  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                        vectors = np.zeros([angles_rad.size, 12])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                        for i in range(0, angles_rad.size):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                            d0 = [CenterRotOffset - projection_shifts2d[i, 0], 0.0,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                                  CenterRotOffset - projection_shifts2d[i, 1] - 0.5]  # detector  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                            theta = angles_rad[i]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                            vec_temp = np.dot(self.rotation_matrix3D(theta), s0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                            vectors[i, 0:3] = vec_temp[:]  # ray position  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                            vec_temp = np.dot(self.rotation_matrix3D(theta), d0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                            vectors[i, 3:6] = vec_temp[:]  # center of detector position  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                            vec_temp = np.dot(self.rotation_matrix3D(theta), u0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                            vectors[i, 6:9] = vec_temp[:]  # detector pixel (0,0) to (0,1).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                            vec_temp = np.dot(self.rotation_matrix3D(theta), v0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                            vectors[i, 9:12] = vec_temp[:]  # Vector from detector pixel (0,0) to (1,0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                        return vectors  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
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                    def filtersinc3d(self, projection3d):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        import scipy.fftpack  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # applies a sinc filter to 3D projection data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    252
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                        # Data format [DetectorVert, Projections, DetectorHoriz]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    253
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                        # adopted from Matlabs code by  Waqas Akram  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    254
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                        # "a":	This parameter varies the filter magnitude response.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    255
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                        # When "a" is very small (a<<1), the response approximates |w|  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    256
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                        # As "a" is increased, the filter response starts to  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    257
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                        # roll off at high frequencies.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    258
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                        a = 1.1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    259
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                        [DetectorsLengthV, projectionsNum, DetectorsLengthH] = np.shape(projection3d)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    260
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                        w = np.linspace(-np.pi, np.pi - (2 * np.pi) / DetectorsLengthH, DetectorsLengthH, dtype='float32')  | 
            
                            
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                    262
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                        rn1 = np.abs(2.0 / a * np.sin(a * w / 2.0))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    263
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                        rn2 = np.sin(a * w / 2.0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    264
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                        rd = (a * w) / 2.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    265
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                        rd_c = np.zeros([1, DetectorsLengthH])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    266
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                        rd_c[0, :] = rd  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    267
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                        r = rn1 * (np.dot(rn2, np.linalg.pinv(rd_c))) ** 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    268
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                        multiplier = (1.0 / projectionsNum)  | 
            
                            
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                    269
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                        f = scipy.fftpack.fftshift(r)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    270
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                        filtered = np.zeros(np.shape(projection3d))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    271
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                    272
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                        for j in range(0, DetectorsLengthV):  | 
            
                            
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                    273
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                            for i in range(0, projectionsNum):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    274
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                                IMG = scipy.fftpack.fft(projection3d[j, i, :])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    275
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                                filtered[j, i, :] = multiplier * np.real(scipy.fftpack.ifft(IMG * f))  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                    276
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                        return np.float32(filtered)  | 
            
            
                                                        
            
                                    
            
            
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                    277
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