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import matplotlib as mpl |
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import numpy as np |
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import pandas as pd |
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import matplotlib.pyplot as plt |
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from scipy.spatial import Voronoi |
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import scipy.stats as stats |
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import os |
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import os.path as op |
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from shapely.geometry import Point |
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from shapely.geometry.polygon import Polygon |
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import numpy.ma as ma |
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import matplotlib.cm as cm |
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import diff_classifier.aws as aws |
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View Code Duplication |
def voronoi_finite_polygons_2d(vor, radius=None): |
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""" |
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Reconstruct infinite voronoi regions in a 2D diagram to finite |
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regions. |
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Parameters |
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---------- |
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vor : Voronoi |
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Input diagram |
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radius : float, optional |
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Distance to 'points at infinity'. |
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Returns |
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------- |
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regions : list of tuples |
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Indices of vertices in each revised Voronoi regions. |
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vertices : list of tuples |
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Coordinates for revised Voronoi vertices. Same as coordinates |
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of input vertices, with 'points at infinity' appended to the |
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end. |
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""" |
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if vor.points.shape[1] != 2: |
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raise ValueError("Requires 2D input") |
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new_regions = [] |
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new_vertices = vor.vertices.tolist() |
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center = vor.points.mean(axis=0) |
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if radius is None: |
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radius = vor.points.ptp().max() |
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# Construct a map containing all ridges for a given point |
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all_ridges = {} |
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for (p1, p2), (v1, v2) in zip(vor.ridge_points, vor.ridge_vertices): |
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all_ridges.setdefault(p1, []).append((p2, v1, v2)) |
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all_ridges.setdefault(p2, []).append((p1, v1, v2)) |
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counter = 0 |
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for p1, region in enumerate(vor.point_region): |
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try: |
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vertices = vor.regions[region] |
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if all(v >= 0 for v in vertices): |
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# finite region |
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new_regions.append(vertices) |
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continue |
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# reconstruct a non-finite region |
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ridges = all_ridges[p1] |
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new_region = [v for v in vertices if v >= 0] |
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for p2, v1, v2 in ridges: |
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if v2 < 0: |
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v1, v2 = v2, v1 |
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if v1 >= 0: |
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# finite ridge: already in the region |
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continue |
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# Compute the missing endpoint of an infinite ridge |
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t = vor.points[p2] - vor.points[p1] # tangent |
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t /= np.linalg.norm(t) |
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n = np.array([-t[1], t[0]]) # normal |
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midpoint = vor.points[[p1, p2]].mean(axis=0) |
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direction = np.sign(np.dot(midpoint - center, n)) * n |
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far_point = vor.vertices[v2] + direction * radius |
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new_region.append(len(new_vertices)) |
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new_vertices.append(far_point.tolist()) |
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# sort region counterclockwise |
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vs = np.asarray([new_vertices[v] for v in new_region]) |
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c = vs.mean(axis=0) |
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angles = np.arctan2(vs[:, 1] - c[1], vs[:, 0] - c[0]) |
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new_region = np.array(new_region)[np.argsort(angles)] |
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# finish |
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new_regions.append(new_region.tolist()) |
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except KeyError: |
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counter = counter + 1 |
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# print('Oops {}'.format(counter)) |
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return new_regions, np.asarray(new_vertices) |
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View Code Duplication |
def plot_heatmap(prefix, feature='asymmetry1', vmin=0, vmax=1, resolution=512, rows=4, cols=4, |
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upload=True, dpi=None, figsize=(12, 10), remote_folder = "01_18_Experiment", |
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bucket='ccurtis.data'): |
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""" |
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Plot heatmap of trajectories in video with colors corresponding to features. |
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Parameters |
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---------- |
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prefix: string |
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Prefix of file name to be plotted e.g. features_P1.csv prefix is P1. |
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feature: string |
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Feature to be plotted. See features_analysis.py |
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vmin: float64 |
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Lower intensity bound for heatmap. |
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vmax: float64 |
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Upper intensity bound for heatmap. |
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resolution: int |
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Resolution of base image. Only needed to calculate bounds of image. |
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rows: int |
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Rows of base images used to build tiled image. |
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cols: int |
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Columns of base images used to build tiled images. |
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upload: boolean |
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True if you want to upload to s3. |
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dpi: int |
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Desired dpi of output image. |
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figsize: list |
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Desired dimensions of output image. |
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Returns |
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------- |
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""" |
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# Inputs |
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# ---------- |
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merged_ft = pd.read_csv('features_{}.csv'.format(prefix)) |
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string = feature |
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leveler = merged_ft[string] |
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t_min = vmin |
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t_max = vmax |
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ires = resolution |
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# Building points and color schemes |
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# ---------- |
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zs = ma.masked_invalid(merged_ft[string]) |
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zs = ma.masked_where(zs <= t_min, zs) |
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zs = ma.masked_where(zs >= t_max, zs) |
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to_mask = ma.getmask(zs) |
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zs = ma.compressed(zs) |
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xs = ma.compressed(ma.masked_where(to_mask, merged_ft['X'].astype(int))) |
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ys = ma.compressed(ma.masked_where(to_mask, merged_ft['Y'].astype(int))) |
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points = np.zeros((xs.shape[0], 2)) |
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points[:, 0] = xs |
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points[:, 1] = ys |
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vor = Voronoi(points) |
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# Plot |
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# ---------- |
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fig = plt.figure(figsize=figsize, dpi=dpi) |
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regions, vertices = voronoi_finite_polygons_2d(vor) |
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my_map = cm.get_cmap('viridis') |
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norm = mpl.colors.Normalize(t_min, t_max, clip=True) |
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mapper = cm.ScalarMappable(norm=norm, cmap=cm.viridis) |
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test = 0 |
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p2 = 0 |
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counter = 0 |
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for i in range(0, points.shape[0]-1): |
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try: |
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polygon = vertices[regions[p2]] |
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point1 = Point(points[test, :]) |
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poly1 = Polygon(polygon) |
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check = poly1.contains(point1) |
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if check: |
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plt.fill(*zip(*polygon), color=my_map(norm(zs[test])), alpha=0.7) |
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p2 = p2 + 1 |
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test = test + 1 |
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else: |
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p2 = p2 |
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test = test + 1 |
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except IndexError: |
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print('Index mismatch possible.') |
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mapper.set_array(10) |
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plt.colorbar(mapper) |
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plt.xlim(0, ires*cols) |
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plt.ylim(0, ires*rows) |
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plt.axis('off') |
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print('Plotted {} heatmap successfully.'.format(prefix)) |
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outfile = 'hm_{}_{}.png'.format(feature, prefix) |
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fig.savefig(outfile, bbox_inches='tight') |
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if upload == True: |
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aws.upload_s3(outfile, remote_folder+'/'+outfile, bucket_name=bucket) |
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View Code Duplication |
def plot_scatterplot(prefix, feature='asymmetry1', vmin=0, vmax=1, resolution=512, rows=4, cols=4, |
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dotsize=10, figsize=(12, 10), upload=True, remote_folder = "01_18_Experiment", |
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bucket='ccurtis.data'): |
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""" |
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Plot scatterplot of trajectories in video with colors corresponding to features. |
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Parameters |
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---------- |
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prefix: string |
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Prefix of file name to be plotted e.g. features_P1.csv prefix is P1. |
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feature: string |
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Feature to be plotted. See features_analysis.py |
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vmin: float64 |
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Lower intensity bound for heatmap. |
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vmax: float64 |
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Upper intensity bound for heatmap. |
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resolution: int |
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Resolution of base image. Only needed to calculate bounds of image. |
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rows: int |
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Rows of base images used to build tiled image. |
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cols: int |
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Columns of base images used to build tiled images. |
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upload: boolean |
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True if you want to upload to s3. |
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""" |
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# Inputs |
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# ---------- |
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merged_ft = pd.read_csv('features_{}.csv'.format(prefix)) |
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string = feature |
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leveler = merged_ft[string] |
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t_min = vmin |
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t_max = vmax |
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ires = resolution |
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norm = mpl.colors.Normalize(t_min, t_max, clip=True) |
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mapper = cm.ScalarMappable(norm=norm, cmap=cm.viridis) |
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zs = ma.masked_invalid(merged_ft[string]) |
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zs = ma.masked_where(zs <= t_min, zs) |
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zs = ma.masked_where(zs >= t_max, zs) |
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to_mask = ma.getmask(zs) |
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zs = ma.compressed(zs) |
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xs = ma.compressed(ma.masked_where(to_mask, merged_ft['X'].astype(int))) |
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ys = ma.compressed(ma.masked_where(to_mask, merged_ft['Y'].astype(int))) |
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fig = plt.figure(figsize=figsize) |
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plt.scatter(xs, ys, c=zs, s=dotsize) |
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mapper.set_array(10) |
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plt.colorbar(mapper) |
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plt.xlim(0, ires*cols) |
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plt.ylim(0, ires*rows) |
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plt.axis('off') |
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print('Plotted {} scatterplot successfully.'.format(prefix)) |
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outfile = 'scatter_{}_{}.png'.format(feature, prefix) |
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fig.savefig(outfile, bbox_inches='tight') |
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if upload == True: |
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aws.upload_s3(outfile, remote_folder+'/'+outfile, bucket_name=bucket) |
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View Code Duplication |
def plot_trajectories(prefix, resolution=512, rows=4, cols=4, upload=True, |
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remote_folder = "01_18_Experiment", bucket='ccurtis.data', |
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figsize=(12, 12), subset=True, size=1000): |
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""" |
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Plot trajectories in video. |
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Parameters |
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---------- |
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prefix: string |
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Prefix of file name to be plotted e.g. features_P1.csv prefix is P1. |
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resolution: int |
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Resolution of base image. Only needed to calculate bounds of image. |
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rows: int |
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Rows of base images used to build tiled image. |
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cols: int |
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Columns of base images used to build tiled images. |
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upload: boolean |
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True if you want to upload to s3. |
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""" |
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merged = pd.read_csv('msd_{}.csv'.format(prefix)) |
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particles = int(max(merged['Track_ID'])) |
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if particles < size: |
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size = particles - 1 |
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else: |
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pass |
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particles = np.linspace(0, particles, particles-1).astype(int) |
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if subset: |
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particles = np.random.choice(particles, size=size, replace=False) |
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ires = resolution |
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fig = plt.figure(figsize=figsize) |
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for part in particles: |
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x = merged[merged['Track_ID'] == part]['X'] |
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y = merged[merged['Track_ID'] == part]['Y'] |
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plt.plot(x, y, color='k', alpha=0.7) |
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plt.xlim(0, ires*cols) |
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plt.ylim(0, ires*rows) |
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plt.axis('off') |
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print('Plotted {} trajectories successfully.'.format(prefix)) |
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outfile = 'traj_{}.png'.format(prefix) |
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fig.savefig(outfile, bbox_inches='tight') |
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if upload: |
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aws.upload_s3(outfile, remote_folder+'/'+outfile, bucket_name=bucket) |
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View Code Duplication |
def plot_histogram(prefix, xlabel='Log Diffusion Coefficient Dist', ylabel='Trajectory Count', |
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fps=100.02, umppx=0.16, frames=651, y_range=100, frame_interval=20, frame_range=100, |
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analysis='log', theta='D', upload=True, remote_folder = "01_18_Experiment", |
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bucket='ccurtis.data'): |
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""" |
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Plot heatmap of trajectories in video with colors corresponding to features. |
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Parameters |
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---------- |
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prefix: string |
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Prefix of file name to be plotted e.g. features_P1.csv prefix is P1. |
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xlabel: string |
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X axis label. |
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ylabel: string |
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Y axis label. |
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fps: float64 |
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Frames per second of video. |
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umppx: float64 |
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Resolution of video in microns per pixel. |
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frames: int |
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Number of frames in video. |
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y_range: float64 or int |
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Desire y range of graph. |
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frame_interval: int |
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Desired spacing between MSDs/Deffs to be plotted. |
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analysis: string |
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Desired output format. If log, will plot log(MSDs/Deffs) |
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theta: string |
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Desired output. D for diffusion coefficients. Anything else, MSDs. |
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upload: boolean |
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True if you want to upload to s3. |
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""" |
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merged = pd.read_csv('msd_{}.csv'.format(prefix)) |
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data = merged |
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frame_range = range(frame_interval, frame_range+frame_interval, frame_interval) |
|
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|
346
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347
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# load data |
348
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|
349
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# generate keys for legend |
350
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bar = {} |
351
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keys = [] |
352
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entries = [] |
353
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for i in range(0, len(list(frame_range))): |
354
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keys.append(i) |
355
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entries.append(str(10*frame_interval*(i+1)) + 'ms') |
356
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|
|
357
|
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|
set_x_limit = False |
358
|
|
|
set_y_limit = True |
359
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colors = plt.rcParams['axes.prop_cycle'].by_key()['color'] |
360
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fig = plt.figure(figsize=(16, 6)) |
361
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|
362
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counter = 0 |
363
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for i in frame_range: |
364
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toi = i/fps |
365
|
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|
if theta == "MSD": |
366
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factor = 1 |
367
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else: |
368
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factor = 4*toi |
369
|
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|
370
|
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if analysis == 'log': |
371
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dist = np.log(umppx*umppx*merged.loc[merged.Frame == i, 'MSDs'].dropna()/factor) |
372
|
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|
test_bins = np.linspace(-5, 5, 76) |
373
|
|
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else: |
374
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|
|
dist = umppx*umppx*merged.loc[merged.Frame == i, 'MSDs'].dropna()/factor |
375
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|
|
test_bins = np.linspace(0, 20, 76) |
376
|
|
|
|
377
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|
|
histogram, test_bins = np.histogram(dist, bins=test_bins) |
378
|
|
|
|
379
|
|
|
# Plot_general_histogram_code |
380
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|
|
avg = np.mean(dist) |
381
|
|
|
|
382
|
|
|
plt.rc('axes', linewidth=2) |
383
|
|
|
plot = histogram |
384
|
|
|
bins = test_bins |
385
|
|
|
width = 0.7 * (bins[1] - bins[0]) |
386
|
|
|
center = (bins[:-1] + bins[1:])/2 |
387
|
|
|
bar[keys[counter]] = plt.bar(center, plot, align='center', width=width, color=colors[counter], label=entries[counter]) |
388
|
|
|
plt.axvline(avg, color=colors[counter]) |
389
|
|
|
plt.xlabel(xlabel, fontsize=30) |
390
|
|
|
plt.ylabel(ylabel, fontsize=30) |
391
|
|
|
plt.tick_params(axis='both', which='major', labelsize=20) |
392
|
|
|
|
393
|
|
|
counter = counter + 1 |
394
|
|
|
if set_y_limit: |
395
|
|
|
plt.gca().set_ylim([0, y_range]) |
396
|
|
|
|
397
|
|
|
if set_x_limit: |
398
|
|
|
plt.gca().set_xlim([0, x_range]) |
|
|
|
|
399
|
|
|
|
400
|
|
|
plt.legend(fontsize=20, frameon=False) |
401
|
|
|
outfile = 'hist_{}.png'.format(prefix) |
402
|
|
|
fig.savefig(outfile, bbox_inches='tight') |
403
|
|
|
if upload==True: |
404
|
|
|
aws.upload_s3(outfile, remote_folder+'/'+outfile, bucket_name=bucket) |
405
|
|
|
|
406
|
|
|
|
407
|
|
View Code Duplication |
def plot_particles_in_frame(prefix, x_range=600, y_range=2000, upload=True, |
|
|
|
|
408
|
|
|
remote_folder = "01_18_Experiment", bucket='ccurtis.data'): |
409
|
|
|
""" |
410
|
|
|
Plot number of particles per frame as a function of time. |
411
|
|
|
|
412
|
|
|
Parameters |
413
|
|
|
---------- |
414
|
|
|
prefix: string |
415
|
|
|
Prefix of file name to be plotted e.g. features_P1.csv prefix is P1. |
416
|
|
|
x_range: float64 or int |
417
|
|
|
Desire x range of graph. |
418
|
|
|
y_range: float64 or int |
419
|
|
|
Desire y range of graph. |
420
|
|
|
upload: boolean |
421
|
|
|
True if you want to upload to s3. |
422
|
|
|
|
423
|
|
|
""" |
424
|
|
|
merged = pd.read_csv('msd_{}.csv'.format(prefix)) |
425
|
|
|
frames = int(max(merged['Frame'])) |
426
|
|
|
framespace = np.linspace(0, frames, frames) |
427
|
|
|
particles = np.zeros((framespace.shape[0])) |
428
|
|
|
for i in range(0, frames): |
|
|
|
|
429
|
|
|
particles[i] = merged.loc[merged.Frame == i, 'MSDs'].dropna().shape[0] |
430
|
|
|
|
431
|
|
|
fig = plt.figure(figsize=(5, 5)) |
432
|
|
|
plt.plot(framespace, particles, linewidth=4) |
433
|
|
|
plt.xlim(0, x_range) |
434
|
|
|
plt.ylim(0, y_range) |
435
|
|
|
plt.xlabel('Frames', fontsize=20) |
436
|
|
|
plt.ylabel('Particles', fontsize=20) |
437
|
|
|
|
438
|
|
|
outfile = 'in_frame_{}.png'.format(prefix) |
439
|
|
|
fig.savefig(outfile, bbox_inches='tight') |
440
|
|
|
if upload == True: |
441
|
|
|
aws.upload_s3(outfile, remote_folder+'/'+outfile, bucket_name=bucket) |
442
|
|
|
|
443
|
|
|
|
444
|
|
View Code Duplication |
def plot_individual_msds(prefix, x_range=100, y_range=20, umppx=0.16, fps=100.02, alpha=0.1, folder='.', upload=True, |
|
|
|
|
445
|
|
|
remote_folder="01_18_Experiment", bucket='ccurtis.data', figsize=(10, 10), subset=True, size=1000, |
446
|
|
|
dpi=300): |
447
|
|
|
""" |
448
|
|
|
Plot MSDs of trajectories and the geometric average. |
449
|
|
|
|
450
|
|
|
Parameters |
451
|
|
|
---------- |
452
|
|
|
prefix: string |
453
|
|
|
Prefix of file name to be plotted e.g. features_P1.csv prefix is P1. |
454
|
|
|
x_range: float64 or int |
455
|
|
|
Desire x range of graph. |
456
|
|
|
y_range: float64 or int |
457
|
|
|
Desire y range of graph. |
458
|
|
|
fps: float64 |
459
|
|
|
Frames per second of video. |
460
|
|
|
umppx: float64 |
461
|
|
|
Resolution of video in microns per pixel. |
462
|
|
|
alpha: float64 |
463
|
|
|
Transparency factor. Between 0 and 1. |
464
|
|
|
upload: boolean |
465
|
|
|
True if you want to upload to s3. |
466
|
|
|
|
467
|
|
|
Returns |
468
|
|
|
------- |
469
|
|
|
geo_mean: numpy array |
470
|
|
|
Geometric mean of trajectory MSDs at all time points. |
471
|
|
|
geo_SEM: numpy array |
472
|
|
|
Geometric standard errot of trajectory MSDs at all time points. |
473
|
|
|
|
474
|
|
|
""" |
475
|
|
|
|
476
|
|
|
merged = pd.read_csv('{}/msd_{}.csv'.format(folder, prefix)) |
477
|
|
|
|
478
|
|
|
fig = plt.figure(figsize=figsize) |
479
|
|
|
particles = int(max(merged['Track_ID'])) |
480
|
|
|
|
481
|
|
|
if particles < size: |
482
|
|
|
size = particles - 1 |
483
|
|
|
else: |
484
|
|
|
pass |
485
|
|
|
|
486
|
|
|
frames = int(max(merged['Frame'])) |
487
|
|
|
|
488
|
|
|
y = merged['Y'].values.reshape((particles+1, frames+1))*umppx*umppx |
489
|
|
|
x = merged['X'].values.reshape((particles+1, frames+1))/fps |
490
|
|
|
# for i in range(0, particles+1): |
491
|
|
|
# y[i, :] = merged.loc[merged.Track_ID == i, 'MSDs']*umppx*umppx |
492
|
|
|
# x = merged.loc[merged.Track_ID == i, 'Frame']/fps |
493
|
|
|
|
494
|
|
|
particles = np.linspace(0, particles, particles-1).astype(int) |
495
|
|
|
if subset: |
496
|
|
|
particles = np.random.choice(particles, size=size, replace=False) |
497
|
|
|
|
498
|
|
|
y = np.zeros((particles.shape[0], frames+1)) |
499
|
|
|
for idx, val in enumerate(particles): |
500
|
|
|
y[idx, :] = merged.loc[merged.Track_ID == val, 'MSDs']*umppx*umppx |
501
|
|
|
x = merged.loc[merged.Track_ID == val, 'Frame']/fps |
502
|
|
|
plt.plot(x, y[idx, :], 'k', alpha=alpha) |
503
|
|
|
|
504
|
|
|
geo_mean = np.nanmean(ma.log(y), axis=0) |
505
|
|
|
geo_SEM = stats.sem(ma.log(y), axis=0, nan_policy='omit') |
506
|
|
|
plt.plot(x, np.exp(geo_mean), 'k', linewidth=4) |
507
|
|
|
plt.plot(x, np.exp(geo_mean-geo_SEM), 'k--', linewidth=2) |
508
|
|
|
plt.plot(x, np.exp(geo_mean+geo_SEM), 'k--', linewidth=2) |
509
|
|
|
plt.xlim(0, x_range) |
510
|
|
|
plt.ylim(0, y_range) |
511
|
|
|
plt.xlabel('Tau (s)', fontsize=25) |
512
|
|
|
plt.ylabel(r'Mean Squared Displacement ($\mu$m$^2$)', fontsize=25) |
513
|
|
|
|
514
|
|
|
outfile = '{}/msds_{}.png'.format(folder, prefix) |
515
|
|
|
outfile2 = '{}/geomean_{}.csv'.format(folder, prefix) |
516
|
|
|
outfile3 = '{}/geoSEM_{}.csv'.format(folder, prefix) |
517
|
|
|
fig.savefig(outfile, bbox_inches='tight', dpi=dpi) |
518
|
|
|
np.savetxt(outfile2, geo_mean, delimiter=",") |
519
|
|
|
np.savetxt(outfile3, geo_SEM, delimiter=",") |
520
|
|
|
if upload: |
521
|
|
|
aws.upload_s3(outfile, remote_folder+'/'+outfile, bucket_name=bucket) |
522
|
|
|
aws.upload_s3(outfile2, remote_folder+'/'+outfile2, bucket_name=bucket) |
523
|
|
|
aws.upload_s3(outfile3, remote_folder+'/'+outfile3, bucket_name=bucket) |
524
|
|
|
return geo_mean, geo_SEM |
525
|
|
|
|