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CellProfiler/centrosome
centrosome/cpmorphology.py
find_neighbors
def find_neighbors(labels): '''Find the set of objects that touch each object in a labels matrix Construct a "list", per-object, of the objects 8-connected adjacent to that object. Returns three 1-d arrays: * array of #'s of neighbors per object * array of indexes per object to that object'...
python
def find_neighbors(labels): '''Find the set of objects that touch each object in a labels matrix Construct a "list", per-object, of the objects 8-connected adjacent to that object. Returns three 1-d arrays: * array of #'s of neighbors per object * array of indexes per object to that object'...
Find the set of objects that touch each object in a labels matrix Construct a "list", per-object, of the objects 8-connected adjacent to that object. Returns three 1-d arrays: * array of #'s of neighbors per object * array of indexes per object to that object's list of neighbors * array hol...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3507-L3581
CellProfiler/centrosome
centrosome/cpmorphology.py
distance_color_labels
def distance_color_labels(labels): '''Recolor a labels matrix so that adjacent labels have distant numbers ''' # # Color labels so adjacent ones are most distant # colors = color_labels(labels, True) # # Order pixels by color, then label # # rlabels = labels.ravel() orde...
python
def distance_color_labels(labels): '''Recolor a labels matrix so that adjacent labels have distant numbers ''' # # Color labels so adjacent ones are most distant # colors = color_labels(labels, True) # # Order pixels by color, then label # # rlabels = labels.ravel() orde...
Recolor a labels matrix so that adjacent labels have distant numbers
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3583-L3607
CellProfiler/centrosome
centrosome/cpmorphology.py
color_labels
def color_labels(labels, distance_transform = False): '''Color a labels matrix so that no adjacent labels have the same color distance_transform - if true, distance transform the labels to find out which objects are closest to each other. Create a label coloring matrix which assigns ...
python
def color_labels(labels, distance_transform = False): '''Color a labels matrix so that no adjacent labels have the same color distance_transform - if true, distance transform the labels to find out which objects are closest to each other. Create a label coloring matrix which assigns ...
Color a labels matrix so that no adjacent labels have the same color distance_transform - if true, distance transform the labels to find out which objects are closest to each other. Create a label coloring matrix which assigns a color (1-n) to each pixel in the labels matrix such tha...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3609-L3679
CellProfiler/centrosome
centrosome/cpmorphology.py
skeletonize
def skeletonize(image, mask=None, ordering = None): '''Skeletonize the image Take the distance transform. Order the 1 points by the distance transform. Remove a point if it has more than 1 neighbor and if removing it does not change the Euler number. image - the binary image to be skel...
python
def skeletonize(image, mask=None, ordering = None): '''Skeletonize the image Take the distance transform. Order the 1 points by the distance transform. Remove a point if it has more than 1 neighbor and if removing it does not change the Euler number. image - the binary image to be skel...
Skeletonize the image Take the distance transform. Order the 1 points by the distance transform. Remove a point if it has more than 1 neighbor and if removing it does not change the Euler number. image - the binary image to be skeletonized mask - only skeletonize pixels within the...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3681-L3753
CellProfiler/centrosome
centrosome/cpmorphology.py
skeletonize_labels
def skeletonize_labels(labels): '''Skeletonize a labels matrix''' # # The trick here is to separate touching labels by coloring the # labels matrix and then processing each color separately # colors = color_labels(labels) max_color = np.max(colors) if max_color == 0: return label...
python
def skeletonize_labels(labels): '''Skeletonize a labels matrix''' # # The trick here is to separate touching labels by coloring the # labels matrix and then processing each color separately # colors = color_labels(labels) max_color = np.max(colors) if max_color == 0: return label...
Skeletonize a labels matrix
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3755-L3769
CellProfiler/centrosome
centrosome/cpmorphology.py
label_skeleton
def label_skeleton(skeleton): '''Label a skeleton so that each edge has a unique label This operation produces a labels matrix where each edge between two branchpoints has a different label. If the skeleton has been properly eroded, there are three kinds of points: 1) point adjacent to 0 or 1 o...
python
def label_skeleton(skeleton): '''Label a skeleton so that each edge has a unique label This operation produces a labels matrix where each edge between two branchpoints has a different label. If the skeleton has been properly eroded, there are three kinds of points: 1) point adjacent to 0 or 1 o...
Label a skeleton so that each edge has a unique label This operation produces a labels matrix where each edge between two branchpoints has a different label. If the skeleton has been properly eroded, there are three kinds of points: 1) point adjacent to 0 or 1 other points = end of edge 2) poin...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3771-L3849
CellProfiler/centrosome
centrosome/cpmorphology.py
skeleton_length
def skeleton_length(labels, indices=None): '''Compute the length of all skeleton branches for labeled skeletons labels - a labels matrix indices - the indexes of the labels to be measured. Default is all returns an array of one skeleton length per label. ''' global __skel_length_table ...
python
def skeleton_length(labels, indices=None): '''Compute the length of all skeleton branches for labeled skeletons labels - a labels matrix indices - the indexes of the labels to be measured. Default is all returns an array of one skeleton length per label. ''' global __skel_length_table ...
Compute the length of all skeleton branches for labeled skeletons labels - a labels matrix indices - the indexes of the labels to be measured. Default is all returns an array of one skeleton length per label.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3853-L3903
CellProfiler/centrosome
centrosome/cpmorphology.py
distance_to_edge
def distance_to_edge(labels): '''Compute the distance of a pixel to the edge of its object labels - a labels matrix returns a matrix of distances ''' colors = color_labels(labels) max_color = np.max(colors) result = np.zeros(labels.shape) if max_color == 0: return resul...
python
def distance_to_edge(labels): '''Compute the distance of a pixel to the edge of its object labels - a labels matrix returns a matrix of distances ''' colors = color_labels(labels) max_color = np.max(colors) result = np.zeros(labels.shape) if max_color == 0: return resul...
Compute the distance of a pixel to the edge of its object labels - a labels matrix returns a matrix of distances
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3905-L3921
CellProfiler/centrosome
centrosome/cpmorphology.py
regional_maximum
def regional_maximum(image, mask = None, structure=None, ties_are_ok=False): '''Return a binary mask containing only points that are regional maxima image - image to be transformed mask - mask of relevant pixels structure - binary structure giving the neighborhood and connectivity ...
python
def regional_maximum(image, mask = None, structure=None, ties_are_ok=False): '''Return a binary mask containing only points that are regional maxima image - image to be transformed mask - mask of relevant pixels structure - binary structure giving the neighborhood and connectivity ...
Return a binary mask containing only points that are regional maxima image - image to be transformed mask - mask of relevant pixels structure - binary structure giving the neighborhood and connectivity in which to search for maxima. Default is 8-connected. ties_are_ok - if ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L3923-L4009
CellProfiler/centrosome
centrosome/cpmorphology.py
all_connected_components
def all_connected_components(i,j): '''Associate each label in i with a component # This function finds all connected components given an array of associations between labels i and j using a depth-first search. i & j give the edges of the graph. The first step of the algorithm makes bidirec...
python
def all_connected_components(i,j): '''Associate each label in i with a component # This function finds all connected components given an array of associations between labels i and j using a depth-first search. i & j give the edges of the graph. The first step of the algorithm makes bidirec...
Associate each label in i with a component # This function finds all connected components given an array of associations between labels i and j using a depth-first search. i & j give the edges of the graph. The first step of the algorithm makes bidirectional edges, (i->j and j<-i), so it's bes...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L4011-L4041
CellProfiler/centrosome
centrosome/cpmorphology.py
pairwise_permutations
def pairwise_permutations(i, j): '''Return all permutations of a set of groups This routine takes two vectors: i - the label of each group j - the members of the group. For instance, take a set of two groups with several members each: i | j ------ 1 | 1 1 | 2 1 | 3...
python
def pairwise_permutations(i, j): '''Return all permutations of a set of groups This routine takes two vectors: i - the label of each group j - the members of the group. For instance, take a set of two groups with several members each: i | j ------ 1 | 1 1 | 2 1 | 3...
Return all permutations of a set of groups This routine takes two vectors: i - the label of each group j - the members of the group. For instance, take a set of two groups with several members each: i | j ------ 1 | 1 1 | 2 1 | 3 2 | 1 2 | 4 2 | 5 2 | 6...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L4043-L4186
CellProfiler/centrosome
centrosome/cpmorphology.py
is_local_maximum
def is_local_maximum(image, labels, footprint): '''Return a boolean array of points that are local maxima image - intensity image labels - find maxima only within labels. Zero is reserved for background. footprint - binary mask indicating the neighborhood to be examined must be a ma...
python
def is_local_maximum(image, labels, footprint): '''Return a boolean array of points that are local maxima image - intensity image labels - find maxima only within labels. Zero is reserved for background. footprint - binary mask indicating the neighborhood to be examined must be a ma...
Return a boolean array of points that are local maxima image - intensity image labels - find maxima only within labels. Zero is reserved for background. footprint - binary mask indicating the neighborhood to be examined must be a matrix with odd dimensions, center is taken to ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L4188-L4260
CellProfiler/centrosome
centrosome/cpmorphology.py
angular_distribution
def angular_distribution(labels, resolution=100, weights=None): '''For each object in labels, compute the angular distribution around the centers of mass. Returns an i x j matrix, where i is the number of objects in the label matrix, and j is the resolution of the distribution (default 100), mapped fro...
python
def angular_distribution(labels, resolution=100, weights=None): '''For each object in labels, compute the angular distribution around the centers of mass. Returns an i x j matrix, where i is the number of objects in the label matrix, and j is the resolution of the distribution (default 100), mapped fro...
For each object in labels, compute the angular distribution around the centers of mass. Returns an i x j matrix, where i is the number of objects in the label matrix, and j is the resolution of the distribution (default 100), mapped from -pi to pi. Optionally, the distributions can be weighted by pixe...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L4262-L4306
CellProfiler/centrosome
centrosome/cpmorphology.py
feret_diameter
def feret_diameter(chulls, counts, indexes): '''Return the minimum and maximum Feret diameter for each object This function takes the convex hull data, as generated by convex_hull and returns the minimum and maximum Feret diameter for each convex hull. chulls - an n x 3 matrix giving the la...
python
def feret_diameter(chulls, counts, indexes): '''Return the minimum and maximum Feret diameter for each object This function takes the convex hull data, as generated by convex_hull and returns the minimum and maximum Feret diameter for each convex hull. chulls - an n x 3 matrix giving the la...
Return the minimum and maximum Feret diameter for each object This function takes the convex hull data, as generated by convex_hull and returns the minimum and maximum Feret diameter for each convex hull. chulls - an n x 3 matrix giving the label #, the i coordinate and the j co...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L4308-L4506
CellProfiler/centrosome
centrosome/cpmorphology.py
is_obtuse
def is_obtuse(p1, v, p2): '''Determine whether the angle, p1 - v - p2 is obtuse p1 - N x 2 array of coordinates of first point on edge v - N x 2 array of vertex coordinates p2 - N x 2 array of coordinates of second point on edge returns vector of booleans ''' p1x = p1[:,1] p1y ...
python
def is_obtuse(p1, v, p2): '''Determine whether the angle, p1 - v - p2 is obtuse p1 - N x 2 array of coordinates of first point on edge v - N x 2 array of vertex coordinates p2 - N x 2 array of coordinates of second point on edge returns vector of booleans ''' p1x = p1[:,1] p1y ...
Determine whether the angle, p1 - v - p2 is obtuse p1 - N x 2 array of coordinates of first point on edge v - N x 2 array of vertex coordinates p2 - N x 2 array of coordinates of second point on edge returns vector of booleans
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L4508-L4527
CellProfiler/centrosome
centrosome/cpmorphology.py
get_outline_pts
def get_outline_pts(labels, idxs): '''Get the outline points of objects in clockwise order Given a labels matrix of contiguously-labeled objects, trace the exteriors of those objects to get the points of the outline in clockwise order. labels - a labels matrix idxs - return points...
python
def get_outline_pts(labels, idxs): '''Get the outline points of objects in clockwise order Given a labels matrix of contiguously-labeled objects, trace the exteriors of those objects to get the points of the outline in clockwise order. labels - a labels matrix idxs - return points...
Get the outline points of objects in clockwise order Given a labels matrix of contiguously-labeled objects, trace the exteriors of those objects to get the points of the outline in clockwise order. labels - a labels matrix idxs - return points for the labels named by this array ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/cpmorphology.py#L4553-L4693
CellProfiler/centrosome
centrosome/princomp.py
princomp
def princomp(x): """Determine the principal components of a vector of measurements Determine the principal components of a vector of measurements x should be a M x N numpy array composed of M observations of n variables The output is: coeffs - the NxN correlation matrix that can be used to tran...
python
def princomp(x): """Determine the principal components of a vector of measurements Determine the principal components of a vector of measurements x should be a M x N numpy array composed of M observations of n variables The output is: coeffs - the NxN correlation matrix that can be used to tran...
Determine the principal components of a vector of measurements Determine the principal components of a vector of measurements x should be a M x N numpy array composed of M observations of n variables The output is: coeffs - the NxN correlation matrix that can be used to transform x into its compone...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/princomp.py#L4-L24
CellProfiler/centrosome
centrosome/index.py
all_pairs
def all_pairs(n): '''Return an (n*(n - 1)) x 2 array of all non-identity pairs of n things n - # of things The array is (cleverly) ordered so that the first m * (m - 1) elements can be used for m < n things: n = 3 [[0, 1], # n = 2 [1, 0], # n = 2 [0, 2], [1, 2], ...
python
def all_pairs(n): '''Return an (n*(n - 1)) x 2 array of all non-identity pairs of n things n - # of things The array is (cleverly) ordered so that the first m * (m - 1) elements can be used for m < n things: n = 3 [[0, 1], # n = 2 [1, 0], # n = 2 [0, 2], [1, 2], ...
Return an (n*(n - 1)) x 2 array of all non-identity pairs of n things n - # of things The array is (cleverly) ordered so that the first m * (m - 1) elements can be used for m < n things: n = 3 [[0, 1], # n = 2 [1, 0], # n = 2 [0, 2], [1, 2], [2, 0], [2, 1]]
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/index.py#L116-L138
CellProfiler/centrosome
centrosome/filter.py
stretch
def stretch(image, mask=None): '''Normalize an image to make the minimum zero and maximum one image - pixel data to be normalized mask - optional mask of relevant pixels. None = don't mask returns the stretched image ''' image = np.array(image, float) if np.product(image.shape) == 0: ...
python
def stretch(image, mask=None): '''Normalize an image to make the minimum zero and maximum one image - pixel data to be normalized mask - optional mask of relevant pixels. None = don't mask returns the stretched image ''' image = np.array(image, float) if np.product(image.shape) == 0: ...
Normalize an image to make the minimum zero and maximum one image - pixel data to be normalized mask - optional mask of relevant pixels. None = don't mask returns the stretched image
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L22-L57
CellProfiler/centrosome
centrosome/filter.py
median_filter
def median_filter(data, mask, radius, percent=50): '''Masked median filter with octagonal shape data - array of data to be median filtered. mask - mask of significant pixels in data radius - the radius of a circle inscribed into the filtering octagon percent - conceptually, order the significant pi...
python
def median_filter(data, mask, radius, percent=50): '''Masked median filter with octagonal shape data - array of data to be median filtered. mask - mask of significant pixels in data radius - the radius of a circle inscribed into the filtering octagon percent - conceptually, order the significant pi...
Masked median filter with octagonal shape data - array of data to be median filtered. mask - mask of significant pixels in data radius - the radius of a circle inscribed into the filtering octagon percent - conceptually, order the significant pixels in the octagon, count them and choose t...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L68-L107
CellProfiler/centrosome
centrosome/filter.py
bilateral_filter
def bilateral_filter(image, mask, sigma_spatial, sigma_range, sampling_spatial = None, sampling_range = None): """Bilateral filter of an image image - image to be bilaterally filtered mask - mask of significant points in image sigma_spatial - standard deviation of the spatial Gaus...
python
def bilateral_filter(image, mask, sigma_spatial, sigma_range, sampling_spatial = None, sampling_range = None): """Bilateral filter of an image image - image to be bilaterally filtered mask - mask of significant points in image sigma_spatial - standard deviation of the spatial Gaus...
Bilateral filter of an image image - image to be bilaterally filtered mask - mask of significant points in image sigma_spatial - standard deviation of the spatial Gaussian sigma_range - standard deviation of the range Gaussian sampling_spatial - amt to reduce image array extents when sampling ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L116-L250
CellProfiler/centrosome
centrosome/filter.py
laplacian_of_gaussian
def laplacian_of_gaussian(image, mask, size, sigma): '''Perform the Laplacian of Gaussian transform on the image image - 2-d image array mask - binary mask of significant pixels size - length of side of square kernel to use sigma - standard deviation of the Gaussian ''' half_size = size//...
python
def laplacian_of_gaussian(image, mask, size, sigma): '''Perform the Laplacian of Gaussian transform on the image image - 2-d image array mask - binary mask of significant pixels size - length of side of square kernel to use sigma - standard deviation of the Gaussian ''' half_size = size//...
Perform the Laplacian of Gaussian transform on the image image - 2-d image array mask - binary mask of significant pixels size - length of side of square kernel to use sigma - standard deviation of the Gaussian
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L252-L291
CellProfiler/centrosome
centrosome/filter.py
canny
def canny(image, mask, sigma, low_threshold, high_threshold): '''Edge filter an image using the Canny algorithm. sigma - the standard deviation of the Gaussian used low_threshold - threshold for edges that connect to high-threshold edges high_threshold - threshold of a high-threshol...
python
def canny(image, mask, sigma, low_threshold, high_threshold): '''Edge filter an image using the Canny algorithm. sigma - the standard deviation of the Gaussian used low_threshold - threshold for edges that connect to high-threshold edges high_threshold - threshold of a high-threshol...
Edge filter an image using the Canny algorithm. sigma - the standard deviation of the Gaussian used low_threshold - threshold for edges that connect to high-threshold edges high_threshold - threshold of a high-threshold edge Canny, J., A Computational Approach To Edge Detection, IE...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L298-L461
CellProfiler/centrosome
centrosome/filter.py
roberts
def roberts(image, mask=None): '''Find edges using the Roberts algorithm image - the image to process mask - mask of relevant points The algorithm returns the magnitude of the output of the two Roberts convolution kernels. The following is the canonical citation for the algorithm: L. Rob...
python
def roberts(image, mask=None): '''Find edges using the Roberts algorithm image - the image to process mask - mask of relevant points The algorithm returns the magnitude of the output of the two Roberts convolution kernels. The following is the canonical citation for the algorithm: L. Rob...
Find edges using the Roberts algorithm image - the image to process mask - mask of relevant points The algorithm returns the magnitude of the output of the two Roberts convolution kernels. The following is the canonical citation for the algorithm: L. Roberts Machine Perception of 3-D Solids,...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L463-L504
CellProfiler/centrosome
centrosome/filter.py
sobel
def sobel(image, mask=None): '''Calculate the absolute magnitude Sobel to find the edges image - image to process mask - mask of relevant points Take the square root of the sum of the squares of the horizontal and vertical Sobels to get a magnitude that's somewhat insensitive to direction. ...
python
def sobel(image, mask=None): '''Calculate the absolute magnitude Sobel to find the edges image - image to process mask - mask of relevant points Take the square root of the sum of the squares of the horizontal and vertical Sobels to get a magnitude that's somewhat insensitive to direction. ...
Calculate the absolute magnitude Sobel to find the edges image - image to process mask - mask of relevant points Take the square root of the sum of the squares of the horizontal and vertical Sobels to get a magnitude that's somewhat insensitive to direction. Note that scipy's Sobel returns a ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L506-L519
CellProfiler/centrosome
centrosome/filter.py
prewitt
def prewitt(image, mask=None): '''Find the edge magnitude using the Prewitt transform image - image to process mask - mask of relevant points Return the square root of the sum of squares of the horizontal and vertical Prewitt transforms. ''' return np.sqrt(hprewitt(image,mask)**2 + vprewi...
python
def prewitt(image, mask=None): '''Find the edge magnitude using the Prewitt transform image - image to process mask - mask of relevant points Return the square root of the sum of squares of the horizontal and vertical Prewitt transforms. ''' return np.sqrt(hprewitt(image,mask)**2 + vprewi...
Find the edge magnitude using the Prewitt transform image - image to process mask - mask of relevant points Return the square root of the sum of squares of the horizontal and vertical Prewitt transforms.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L567-L576
CellProfiler/centrosome
centrosome/filter.py
hprewitt
def hprewitt(image, mask=None): '''Find the horizontal edges of an image using the Prewitt transform image - image to process mask - mask of relevant points We use the following kernel and return the absolute value of the result at each point: 1 1 1 0 0 0 -1 -1 -1 ''' ...
python
def hprewitt(image, mask=None): '''Find the horizontal edges of an image using the Prewitt transform image - image to process mask - mask of relevant points We use the following kernel and return the absolute value of the result at each point: 1 1 1 0 0 0 -1 -1 -1 ''' ...
Find the horizontal edges of an image using the Prewitt transform image - image to process mask - mask of relevant points We use the following kernel and return the absolute value of the result at each point: 1 1 1 0 0 0 -1 -1 -1
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L578-L599
CellProfiler/centrosome
centrosome/filter.py
gabor
def gabor(image, labels, frequency, theta): '''Gabor-filter the objects in an image image - 2-d grayscale image to filter labels - a similarly shaped labels matrix frequency - cycles per trip around the circle theta - angle of the filter. 0 to 2 pi Calculate the Gabor filter centered on the ce...
python
def gabor(image, labels, frequency, theta): '''Gabor-filter the objects in an image image - 2-d grayscale image to filter labels - a similarly shaped labels matrix frequency - cycles per trip around the circle theta - angle of the filter. 0 to 2 pi Calculate the Gabor filter centered on the ce...
Gabor-filter the objects in an image image - 2-d grayscale image to filter labels - a similarly shaped labels matrix frequency - cycles per trip around the circle theta - angle of the filter. 0 to 2 pi Calculate the Gabor filter centered on the centroids of each object in the image. Summing th...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L624-L673
CellProfiler/centrosome
centrosome/filter.py
enhance_dark_holes
def enhance_dark_holes(image, min_radius, max_radius, mask=None): '''Enhance dark holes using a rolling ball filter image - grayscale 2-d image radii - a vector of radii: we enhance holes at each given radius ''' # # Do 4-connected erosion # se = np.array([[False, True, False], ...
python
def enhance_dark_holes(image, min_radius, max_radius, mask=None): '''Enhance dark holes using a rolling ball filter image - grayscale 2-d image radii - a vector of radii: we enhance holes at each given radius ''' # # Do 4-connected erosion # se = np.array([[False, True, False], ...
Enhance dark holes using a rolling ball filter image - grayscale 2-d image radii - a vector of radii: we enhance holes at each given radius
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L675-L702
CellProfiler/centrosome
centrosome/filter.py
granulometry_filter
def granulometry_filter(image, min_radius, max_radius, mask=None): '''Enhances bright structures within a min and max radius using a rolling ball filter image - grayscale 2-d image radii - a vector of radii: we enhance holes at each given radius ''' # # Do 4-connected erosion # se = np....
python
def granulometry_filter(image, min_radius, max_radius, mask=None): '''Enhances bright structures within a min and max radius using a rolling ball filter image - grayscale 2-d image radii - a vector of radii: we enhance holes at each given radius ''' # # Do 4-connected erosion # se = np....
Enhances bright structures within a min and max radius using a rolling ball filter image - grayscale 2-d image radii - a vector of radii: we enhance holes at each given radius
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L705-L734
CellProfiler/centrosome
centrosome/filter.py
circular_average_filter
def circular_average_filter(image, radius, mask=None): '''Blur an image using a circular averaging filter (pillbox) image - grayscale 2-d image radii - radius of filter in pixels The filter will be within a square matrix of side 2*radius+1 This code is translated straight from MATLAB's fspecial f...
python
def circular_average_filter(image, radius, mask=None): '''Blur an image using a circular averaging filter (pillbox) image - grayscale 2-d image radii - radius of filter in pixels The filter will be within a square matrix of side 2*radius+1 This code is translated straight from MATLAB's fspecial f...
Blur an image using a circular averaging filter (pillbox) image - grayscale 2-d image radii - radius of filter in pixels The filter will be within a square matrix of side 2*radius+1 This code is translated straight from MATLAB's fspecial function
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L736-L792
CellProfiler/centrosome
centrosome/filter.py
velocity_kalman_model
def velocity_kalman_model(): '''Return a KalmanState set up to model objects with constant velocity The observation and measurement vectors are i,j. The state vector is i,j,vi,vj ''' om = np.array([[1,0,0,0], [0, 1, 0, 0]]) tm = np.array([[1,0,1,0], [0,1,0,1], ...
python
def velocity_kalman_model(): '''Return a KalmanState set up to model objects with constant velocity The observation and measurement vectors are i,j. The state vector is i,j,vi,vj ''' om = np.array([[1,0,0,0], [0, 1, 0, 0]]) tm = np.array([[1,0,1,0], [0,1,0,1], ...
Return a KalmanState set up to model objects with constant velocity The observation and measurement vectors are i,j. The state vector is i,j,vi,vj
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1010-L1021
CellProfiler/centrosome
centrosome/filter.py
reverse_velocity_kalman_model
def reverse_velocity_kalman_model(): '''Return a KalmanState set up to model going backwards in time''' om = np.array([[1,0,0,0], [0, 1, 0, 0]]) tm = np.array([[1,0,-1,0], [0,1,0,-1], [0,0,1,0], [0,0,0,1]]) return KalmanState(om, tm)
python
def reverse_velocity_kalman_model(): '''Return a KalmanState set up to model going backwards in time''' om = np.array([[1,0,0,0], [0, 1, 0, 0]]) tm = np.array([[1,0,-1,0], [0,1,0,-1], [0,0,1,0], [0,0,0,1]]) return KalmanState(om, tm)
Return a KalmanState set up to model going backwards in time
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1023-L1030
CellProfiler/centrosome
centrosome/filter.py
kalman_filter
def kalman_filter(kalman_state, old_indices, coordinates, q, r): '''Return the kalman filter for the features in the new frame kalman_state - state from last frame old_indices - the index per feature in the last frame or -1 for new coordinates - Coordinates of the features in the new frame. q - ...
python
def kalman_filter(kalman_state, old_indices, coordinates, q, r): '''Return the kalman filter for the features in the new frame kalman_state - state from last frame old_indices - the index per feature in the last frame or -1 for new coordinates - Coordinates of the features in the new frame. q - ...
Return the kalman filter for the features in the new frame kalman_state - state from last frame old_indices - the index per feature in the last frame or -1 for new coordinates - Coordinates of the features in the new frame. q - the process error covariance - see equ 1.3 and 1.10 from Welch r - ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1039-L1171
CellProfiler/centrosome
centrosome/filter.py
line_integration
def line_integration(image, angle, decay, sigma): '''Integrate the image along the given angle DIC images are the directional derivative of the underlying image. This filter reconstructs the original image by integrating along that direction. image - a 2-dimensional array angle - shear angle ...
python
def line_integration(image, angle, decay, sigma): '''Integrate the image along the given angle DIC images are the directional derivative of the underlying image. This filter reconstructs the original image by integrating along that direction. image - a 2-dimensional array angle - shear angle ...
Integrate the image along the given angle DIC images are the directional derivative of the underlying image. This filter reconstructs the original image by integrating along that direction. image - a 2-dimensional array angle - shear angle in radians. We integrate perpendicular to this angle ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1173-L1230
CellProfiler/centrosome
centrosome/filter.py
variance_transform
def variance_transform(img, sigma, mask=None): '''Calculate a weighted variance of the image This function caluclates the variance of an image, weighting the local contributions by a Gaussian. img - image to be transformed sigma - standard deviation of the Gaussian mask - mask of relevant pixe...
python
def variance_transform(img, sigma, mask=None): '''Calculate a weighted variance of the image This function caluclates the variance of an image, weighting the local contributions by a Gaussian. img - image to be transformed sigma - standard deviation of the Gaussian mask - mask of relevant pixe...
Calculate a weighted variance of the image This function caluclates the variance of an image, weighting the local contributions by a Gaussian. img - image to be transformed sigma - standard deviation of the Gaussian mask - mask of relevant pixels in the image
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1232-L1258
CellProfiler/centrosome
centrosome/filter.py
inv_n
def inv_n(x): '''given N matrices, return N inverses''' # # The inverse of a small matrix (e.g. 3x3) is # # 1 # ----- C(j,i) # det(A) # # where C(j,i) is the cofactor of matrix A at position j,i # assert x.ndim == 3 assert x.shape[1] == x.shape[2] c = np.array([ [...
python
def inv_n(x): '''given N matrices, return N inverses''' # # The inverse of a small matrix (e.g. 3x3) is # # 1 # ----- C(j,i) # det(A) # # where C(j,i) is the cofactor of matrix A at position j,i # assert x.ndim == 3 assert x.shape[1] == x.shape[2] c = np.array([ [...
given N matrices, return N inverses
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1313-L1329
CellProfiler/centrosome
centrosome/filter.py
det_n
def det_n(x): '''given N matrices, return N determinants''' assert x.ndim == 3 assert x.shape[1] == x.shape[2] if x.shape[1] == 1: return x[:,0,0] result = np.zeros(x.shape[0]) for permutation in permutations(np.arange(x.shape[1])): sign = parity(permutation) result += np...
python
def det_n(x): '''given N matrices, return N determinants''' assert x.ndim == 3 assert x.shape[1] == x.shape[2] if x.shape[1] == 1: return x[:,0,0] result = np.zeros(x.shape[0]) for permutation in permutations(np.arange(x.shape[1])): sign = parity(permutation) result += np...
given N matrices, return N determinants
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1331-L1343
CellProfiler/centrosome
centrosome/filter.py
parity
def parity(x): '''The parity of a permutation The parity of a permutation is even if the permutation can be formed by an even number of transpositions and is odd otherwise. The parity of a permutation is even if there are an even number of compositions of even size and odd otherwise. A composition...
python
def parity(x): '''The parity of a permutation The parity of a permutation is even if the permutation can be formed by an even number of transpositions and is odd otherwise. The parity of a permutation is even if there are an even number of compositions of even size and odd otherwise. A composition...
The parity of a permutation The parity of a permutation is even if the permutation can be formed by an even number of transpositions and is odd otherwise. The parity of a permutation is even if there are an even number of compositions of even size and odd otherwise. A composition is a cycle: for i...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1345-L1372
CellProfiler/centrosome
centrosome/filter.py
cofactor_n
def cofactor_n(x, i, j): '''Return the cofactor of n matrices x[n,i,j] at position i,j The cofactor is the determinant of the matrix formed by removing row i and column j. ''' m = x.shape[1] mr = np.arange(m) i_idx = mr[mr != i] j_idx = mr[mr != j] return det_n(x[:, i_idx[:, np.newa...
python
def cofactor_n(x, i, j): '''Return the cofactor of n matrices x[n,i,j] at position i,j The cofactor is the determinant of the matrix formed by removing row i and column j. ''' m = x.shape[1] mr = np.arange(m) i_idx = mr[mr != i] j_idx = mr[mr != j] return det_n(x[:, i_idx[:, np.newa...
Return the cofactor of n matrices x[n,i,j] at position i,j The cofactor is the determinant of the matrix formed by removing row i and column j.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1374-L1385
CellProfiler/centrosome
centrosome/filter.py
dot_n
def dot_n(x, y): '''given two tensors N x I x K and N x K x J return N dot products If either x or y is 2-dimensional, broadcast it over all N. Dot products are size N x I x J. Example: x = np.array([[[1,2], [3,4], [5,6]],[[7,8], [9,10],[11,12]]]) y = np.array([[[1,2,3], [4,5,6]],[[7,8,9],[10,...
python
def dot_n(x, y): '''given two tensors N x I x K and N x K x J return N dot products If either x or y is 2-dimensional, broadcast it over all N. Dot products are size N x I x J. Example: x = np.array([[[1,2], [3,4], [5,6]],[[7,8], [9,10],[11,12]]]) y = np.array([[[1,2,3], [4,5,6]],[[7,8,9],[10,...
given two tensors N x I x K and N x K x J return N dot products If either x or y is 2-dimensional, broadcast it over all N. Dot products are size N x I x J. Example: x = np.array([[[1,2], [3,4], [5,6]],[[7,8], [9,10],[11,12]]]) y = np.array([[[1,2,3], [4,5,6]],[[7,8,9],[10,11,12]]]) print dot_...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1387-L1425
CellProfiler/centrosome
centrosome/filter.py
permutations
def permutations(x): '''Given a listlike, x, return all permutations of x Returns the permutations of x in the lexical order of their indices: e.g. >>> x = [ 1, 2, 3, 4 ] >>> for p in permutations(x): >>> print p [ 1, 2, 3, 4 ] [ 1, 2, 4, 3 ] [ 1, 3, 2, 4 ] [ 1, 3, 4, 2 ] ...
python
def permutations(x): '''Given a listlike, x, return all permutations of x Returns the permutations of x in the lexical order of their indices: e.g. >>> x = [ 1, 2, 3, 4 ] >>> for p in permutations(x): >>> print p [ 1, 2, 3, 4 ] [ 1, 2, 4, 3 ] [ 1, 3, 2, 4 ] [ 1, 3, 4, 2 ] ...
Given a listlike, x, return all permutations of x Returns the permutations of x in the lexical order of their indices: e.g. >>> x = [ 1, 2, 3, 4 ] >>> for p in permutations(x): >>> print p [ 1, 2, 3, 4 ] [ 1, 2, 4, 3 ] [ 1, 3, 2, 4 ] [ 1, 3, 4, 2 ] [ 1, 4, 2, 3 ] [ 1, 4, 3...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1427-L1476
CellProfiler/centrosome
centrosome/filter.py
convex_hull_transform
def convex_hull_transform(image, levels=256, mask = None, chunksize = CONVEX_HULL_CHUNKSIZE, pass_cutoff = 16): '''Perform the convex hull transform of this image image - image composed of integer intensity values levels - # of levels that we separate the...
python
def convex_hull_transform(image, levels=256, mask = None, chunksize = CONVEX_HULL_CHUNKSIZE, pass_cutoff = 16): '''Perform the convex hull transform of this image image - image composed of integer intensity values levels - # of levels that we separate the...
Perform the convex hull transform of this image image - image composed of integer intensity values levels - # of levels that we separate the image into mask - mask of points to consider or None to consider all points chunksize - # of points processed in first pass of convex hull for each intensity...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1478-L1695
CellProfiler/centrosome
centrosome/filter.py
circular_hough
def circular_hough(img, radius, nangles = None, mask=None): '''Circular Hough transform of an image img - image to be transformed. radius - radius of circle nangles - # of angles to measure, e.g. nangles = 4 means accumulate at 0, 90, 180 and 270 degrees. Return the Hough transform...
python
def circular_hough(img, radius, nangles = None, mask=None): '''Circular Hough transform of an image img - image to be transformed. radius - radius of circle nangles - # of angles to measure, e.g. nangles = 4 means accumulate at 0, 90, 180 and 270 degrees. Return the Hough transform...
Circular Hough transform of an image img - image to be transformed. radius - radius of circle nangles - # of angles to measure, e.g. nangles = 4 means accumulate at 0, 90, 180 and 270 degrees. Return the Hough transform of the image which is the accumulators for the transform x + r...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1697-L1734
CellProfiler/centrosome
centrosome/filter.py
hessian
def hessian(image, return_hessian=True, return_eigenvalues=True, return_eigenvectors=True): '''Calculate hessian, its eigenvalues and eigenvectors image - n x m image. Smooth the image with a Gaussian to get derivatives at different scales. return_hessian - true to return an n x m x 2 x 2 matr...
python
def hessian(image, return_hessian=True, return_eigenvalues=True, return_eigenvectors=True): '''Calculate hessian, its eigenvalues and eigenvectors image - n x m image. Smooth the image with a Gaussian to get derivatives at different scales. return_hessian - true to return an n x m x 2 x 2 matr...
Calculate hessian, its eigenvalues and eigenvectors image - n x m image. Smooth the image with a Gaussian to get derivatives at different scales. return_hessian - true to return an n x m x 2 x 2 matrix of the hessian at each pixel return_eigenvalues - true to return an n ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1736-L1843
CellProfiler/centrosome
centrosome/filter.py
poisson_equation
def poisson_equation(image, gradient=1, max_iter=100, convergence=.01, percentile = 90.0): '''Estimate the solution to the Poisson Equation The Poisson Equation is the solution to gradient(x) = h^2/4 and, in this context, we use a boundary condition where x is zero for background pixels. Also, we set h...
python
def poisson_equation(image, gradient=1, max_iter=100, convergence=.01, percentile = 90.0): '''Estimate the solution to the Poisson Equation The Poisson Equation is the solution to gradient(x) = h^2/4 and, in this context, we use a boundary condition where x is zero for background pixels. Also, we set h...
Estimate the solution to the Poisson Equation The Poisson Equation is the solution to gradient(x) = h^2/4 and, in this context, we use a boundary condition where x is zero for background pixels. Also, we set h^2/4 = 1 to indicate that each pixel is a distance of 1 from its neighbors. The estimatio...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L1845-L1909
CellProfiler/centrosome
centrosome/filter.py
KalmanState.predicted_state_vec
def predicted_state_vec(self): '''The predicted state vector for the next time point From Welch eqn 1.9 ''' if not self.has_cached_predicted_state_vec: self.p_state_vec = dot_n( self.translation_matrix, self.state_vec[:, :, np.newaxis])[:,:,0]...
python
def predicted_state_vec(self): '''The predicted state vector for the next time point From Welch eqn 1.9 ''' if not self.has_cached_predicted_state_vec: self.p_state_vec = dot_n( self.translation_matrix, self.state_vec[:, :, np.newaxis])[:,:,0]...
The predicted state vector for the next time point From Welch eqn 1.9
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L895-L904
CellProfiler/centrosome
centrosome/filter.py
KalmanState.predicted_obs_vec
def predicted_obs_vec(self): '''The predicted observation vector The observation vector for the next step in the filter. ''' if not self.has_cached_obs_vec: self.obs_vec = dot_n( self.observation_matrix, self.predicted_state_vec[:,:,np.newaxis...
python
def predicted_obs_vec(self): '''The predicted observation vector The observation vector for the next step in the filter. ''' if not self.has_cached_obs_vec: self.obs_vec = dot_n( self.observation_matrix, self.predicted_state_vec[:,:,np.newaxis...
The predicted observation vector The observation vector for the next step in the filter.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L912-L921
CellProfiler/centrosome
centrosome/filter.py
KalmanState.map_frames
def map_frames(self, old_indices): '''Rewrite the feature indexes based on the next frame's identities old_indices - for each feature in the new frame, the index of the old feature ''' nfeatures = len(old_indices) noldfeatures = len(self.state_vec) ...
python
def map_frames(self, old_indices): '''Rewrite the feature indexes based on the next frame's identities old_indices - for each feature in the new frame, the index of the old feature ''' nfeatures = len(old_indices) noldfeatures = len(self.state_vec) ...
Rewrite the feature indexes based on the next frame's identities old_indices - for each feature in the new frame, the index of the old feature
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L923-L951
CellProfiler/centrosome
centrosome/filter.py
KalmanState.add_features
def add_features(self, kept_indices, new_indices, new_state_vec, new_state_cov, new_noise_var): '''Add new features to the state kept_indices - the mapping from all indices in the state to new indices in the new version new_indices - the indices of t...
python
def add_features(self, kept_indices, new_indices, new_state_vec, new_state_cov, new_noise_var): '''Add new features to the state kept_indices - the mapping from all indices in the state to new indices in the new version new_indices - the indices of t...
Add new features to the state kept_indices - the mapping from all indices in the state to new indices in the new version new_indices - the indices of the new features in the new version new_state_vec - the state vectors for the new indices new_state_cov - the c...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L953-L995
CellProfiler/centrosome
centrosome/filter.py
KalmanState.deep_copy
def deep_copy(self): '''Return a deep copy of the state''' c = KalmanState(self.observation_matrix, self.translation_matrix) c.state_vec = self.state_vec.copy() c.state_cov = self.state_cov.copy() c.noise_var = self.noise_var.copy() c.state_noise = self.state_noise.copy()...
python
def deep_copy(self): '''Return a deep copy of the state''' c = KalmanState(self.observation_matrix, self.translation_matrix) c.state_vec = self.state_vec.copy() c.state_cov = self.state_cov.copy() c.noise_var = self.noise_var.copy() c.state_noise = self.state_noise.copy()...
Return a deep copy of the state
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/filter.py#L997-L1005
CellProfiler/centrosome
centrosome/bg_compensate.py
prcntiles
def prcntiles(x,percents): '''Equivalent to matlab prctile(x,p), uses linear interpolation.''' x=np.array(x).flatten() listx = np.sort(x) xpcts=[] lenlistx=len(listx) refs=[] for i in range(0,lenlistx): r=100*((.5+i)/lenlistx) #refs[i] is percentile of listx[i] in matrix x re...
python
def prcntiles(x,percents): '''Equivalent to matlab prctile(x,p), uses linear interpolation.''' x=np.array(x).flatten() listx = np.sort(x) xpcts=[] lenlistx=len(listx) refs=[] for i in range(0,lenlistx): r=100*((.5+i)/lenlistx) #refs[i] is percentile of listx[i] in matrix x re...
Equivalent to matlab prctile(x,p), uses linear interpolation.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L22-L48
CellProfiler/centrosome
centrosome/bg_compensate.py
automode
def automode(data): '''Tries to guess if the image contains dark objects on a bright background (1) or if the image contains bright objects on a dark background (-1), or if it contains both dark and bright objects on a gray background (0).''' pct=prcntiles(np.array(data),[1,20,80,99]) upper=...
python
def automode(data): '''Tries to guess if the image contains dark objects on a bright background (1) or if the image contains bright objects on a dark background (-1), or if it contains both dark and bright objects on a gray background (0).''' pct=prcntiles(np.array(data),[1,20,80,99]) upper=...
Tries to guess if the image contains dark objects on a bright background (1) or if the image contains bright objects on a dark background (-1), or if it contains both dark and bright objects on a gray background (0).
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L51-L97
CellProfiler/centrosome
centrosome/bg_compensate.py
spline_factors
def spline_factors(u): '''u is np.array''' X = np.array([(1.-u)**3 , 4-(6.*(u**2))+(3.*(u**3)) , 1.+(3.*u)+(3.*(u**2))-(3.*(u**3)) , u**3]) * (1./6) return X
python
def spline_factors(u): '''u is np.array''' X = np.array([(1.-u)**3 , 4-(6.*(u**2))+(3.*(u**3)) , 1.+(3.*u)+(3.*(u**2))-(3.*(u**3)) , u**3]) * (1./6) return X
u is np.array
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L99-L104
CellProfiler/centrosome
centrosome/bg_compensate.py
pick
def pick(picklist,val): '''Index to first value in picklist that is larger than val. If none is larger, index=len(picklist).''' assert np.all(np.sort(picklist) == picklist), "pick list is not ordered correctly" val = np.array(val) i_pick, i_val = np.mgrid[0:len(picklist),0:len(val)] # # Mar...
python
def pick(picklist,val): '''Index to first value in picklist that is larger than val. If none is larger, index=len(picklist).''' assert np.all(np.sort(picklist) == picklist), "pick list is not ordered correctly" val = np.array(val) i_pick, i_val = np.mgrid[0:len(picklist),0:len(val)] # # Mar...
Index to first value in picklist that is larger than val. If none is larger, index=len(picklist).
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L106-L123
CellProfiler/centrosome
centrosome/bg_compensate.py
confine
def confine(x,low,high): '''Confine x to [low,high]. Values outside are set to low/high. See also restrict.''' y=x.copy() y[y < low] = low y[y > high] = high return y
python
def confine(x,low,high): '''Confine x to [low,high]. Values outside are set to low/high. See also restrict.''' y=x.copy() y[y < low] = low y[y > high] = high return y
Confine x to [low,high]. Values outside are set to low/high. See also restrict.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L125-L132
CellProfiler/centrosome
centrosome/bg_compensate.py
gauss
def gauss(x,m_y,sigma): '''returns the gaussian with mean m_y and std. dev. sigma, calculated at the points of x.''' e_y = [np.exp((1.0/(2*float(sigma)**2)*-(n-m_y)**2)) for n in np.array(x)] y = [1.0/(float(sigma) * np.sqrt(2 * np.pi)) * e for e in e_y] return np.array(y)
python
def gauss(x,m_y,sigma): '''returns the gaussian with mean m_y and std. dev. sigma, calculated at the points of x.''' e_y = [np.exp((1.0/(2*float(sigma)**2)*-(n-m_y)**2)) for n in np.array(x)] y = [1.0/(float(sigma) * np.sqrt(2 * np.pi)) * e for e in e_y] return np.array(y)
returns the gaussian with mean m_y and std. dev. sigma, calculated at the points of x.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L134-L141
CellProfiler/centrosome
centrosome/bg_compensate.py
d2gauss
def d2gauss(x,m_y,sigma): '''returns the second derivative of the gaussian with mean m_y, and standard deviation sigma, calculated at the points of x.''' return gauss(x,m_y,sigma)*[-1/sigma**2 + (n-m_y)**2/sigma**4 for n in x]
python
def d2gauss(x,m_y,sigma): '''returns the second derivative of the gaussian with mean m_y, and standard deviation sigma, calculated at the points of x.''' return gauss(x,m_y,sigma)*[-1/sigma**2 + (n-m_y)**2/sigma**4 for n in x]
returns the second derivative of the gaussian with mean m_y, and standard deviation sigma, calculated at the points of x.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L143-L147
CellProfiler/centrosome
centrosome/bg_compensate.py
spline_matrix2d
def spline_matrix2d(x,y,px,py,mask=None): '''For boundary constraints, the first two and last two spline pieces are constrained to be part of the same cubic curve.''' V = np.kron(spline_matrix(x,px),spline_matrix(y,py)) lenV = len(V) if mask is not None: indices = np.nonzero(mask.T.fla...
python
def spline_matrix2d(x,y,px,py,mask=None): '''For boundary constraints, the first two and last two spline pieces are constrained to be part of the same cubic curve.''' V = np.kron(spline_matrix(x,px),spline_matrix(y,py)) lenV = len(V) if mask is not None: indices = np.nonzero(mask.T.fla...
For boundary constraints, the first two and last two spline pieces are constrained to be part of the same cubic curve.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L175-L191
CellProfiler/centrosome
centrosome/bg_compensate.py
splinefit2d
def splinefit2d(x, y, z, px, py, mask=None): '''Make a least squares fit of the spline (px,py,pz) to the surface (x,y,z). If mask is given, only masked points are used for the regression.''' if mask is None: V = np.array(spline_matrix2d(x, y, px, py)) a = np.array(z.T.flatten()) pz ...
python
def splinefit2d(x, y, z, px, py, mask=None): '''Make a least squares fit of the spline (px,py,pz) to the surface (x,y,z). If mask is given, only masked points are used for the regression.''' if mask is None: V = np.array(spline_matrix2d(x, y, px, py)) a = np.array(z.T.flatten()) pz ...
Make a least squares fit of the spline (px,py,pz) to the surface (x,y,z). If mask is given, only masked points are used for the regression.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L194-L213
CellProfiler/centrosome
centrosome/bg_compensate.py
backgr
def backgr(img, mask = None, mode=MODE_AUTO, thresh=2, splinepoints=5, scale=1, maxiter=40, convergence = .001): '''Iterative spline-based background correction. mode - one of MODE_AUTO, MODE_DARK, MODE_BRIGHT or MODE_GRAY thresh - thresh is threshold to cut at, in units of sigma. spli...
python
def backgr(img, mask = None, mode=MODE_AUTO, thresh=2, splinepoints=5, scale=1, maxiter=40, convergence = .001): '''Iterative spline-based background correction. mode - one of MODE_AUTO, MODE_DARK, MODE_BRIGHT or MODE_GRAY thresh - thresh is threshold to cut at, in units of sigma. spli...
Iterative spline-based background correction. mode - one of MODE_AUTO, MODE_DARK, MODE_BRIGHT or MODE_GRAY thresh - thresh is threshold to cut at, in units of sigma. splinepoints - # of points in spline in each direction scale - scale the image by this factor (e.g. 2 = operate on 1/2 of the points...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L246-L356
CellProfiler/centrosome
centrosome/bg_compensate.py
bg_compensate
def bg_compensate(img, sigma, splinepoints, scale): '''Reads file, subtracts background. Returns [compensated image, background].''' from PIL import Image import pylab from matplotlib.image import pil_to_array from centrosome.filter import canny import matplotlib img = Image.open(img) ...
python
def bg_compensate(img, sigma, splinepoints, scale): '''Reads file, subtracts background. Returns [compensated image, background].''' from PIL import Image import pylab from matplotlib.image import pil_to_array from centrosome.filter import canny import matplotlib img = Image.open(img) ...
Reads file, subtracts background. Returns [compensated image, background].
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/bg_compensate.py#L358-L414
CellProfiler/centrosome
centrosome/mode.py
mode
def mode(a): '''Compute the mode of an array a: an array returns a vector of values which are the most frequent (more than one if there is a tie). ''' a = np.asanyarray(a) if a.size == 0: return np.zeros(0, a.dtype) aa = a.flatten() aa.sort() indices = np.hstack...
python
def mode(a): '''Compute the mode of an array a: an array returns a vector of values which are the most frequent (more than one if there is a tie). ''' a = np.asanyarray(a) if a.size == 0: return np.zeros(0, a.dtype) aa = a.flatten() aa.sort() indices = np.hstack...
Compute the mode of an array a: an array returns a vector of values which are the most frequent (more than one if there is a tie).
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/mode.py#L4-L20
CellProfiler/centrosome
centrosome/otsu.py
otsu
def otsu(data, min_threshold=None, max_threshold=None,bins=256): """Compute a threshold using Otsu's method data - an array of intensity values between zero and one min_threshold - only consider thresholds above this minimum value max_threshold - only consider thresholds below this maxi...
python
def otsu(data, min_threshold=None, max_threshold=None,bins=256): """Compute a threshold using Otsu's method data - an array of intensity values between zero and one min_threshold - only consider thresholds above this minimum value max_threshold - only consider thresholds below this maxi...
Compute a threshold using Otsu's method data - an array of intensity values between zero and one min_threshold - only consider thresholds above this minimum value max_threshold - only consider thresholds below this maximum value bins - we bin the data into this many equally-sp...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/otsu.py#L5-L59
CellProfiler/centrosome
centrosome/otsu.py
entropy
def entropy(data, bins=256): """Compute a threshold using Ray's entropy measurement data - an array of intensity values between zero and one bins - we bin the data into this many equally-spaced bins, then pick the bin index that optimizes the metric """ ...
python
def entropy(data, bins=256): """Compute a threshold using Ray's entropy measurement data - an array of intensity values between zero and one bins - we bin the data into this many equally-spaced bins, then pick the bin index that optimizes the metric """ ...
Compute a threshold using Ray's entropy measurement data - an array of intensity values between zero and one bins - we bin the data into this many equally-spaced bins, then pick the bin index that optimizes the metric
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/otsu.py#L61-L108
CellProfiler/centrosome
centrosome/otsu.py
otsu3
def otsu3(data, min_threshold=None, max_threshold=None,bins=128): """Compute a threshold using a 3-category Otsu-like method data - an array of intensity values between zero and one min_threshold - only consider thresholds above this minimum value max_threshold - only consider thres...
python
def otsu3(data, min_threshold=None, max_threshold=None,bins=128): """Compute a threshold using a 3-category Otsu-like method data - an array of intensity values between zero and one min_threshold - only consider thresholds above this minimum value max_threshold - only consider thres...
Compute a threshold using a 3-category Otsu-like method data - an array of intensity values between zero and one min_threshold - only consider thresholds above this minimum value max_threshold - only consider thresholds below this maximum value bins - we bin the data into this...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/otsu.py#L110-L158
CellProfiler/centrosome
centrosome/otsu.py
entropy_score
def entropy_score(var,bins, w=None, decimate=True): '''Compute entropy scores, given a variance and # of bins ''' if w is None: n = len(var) w = np.arange(0,n,n//bins) / float(n) if decimate: n = len(var) var = var[0:n:n//bins] score = w * np.log(var * w * np.sqr...
python
def entropy_score(var,bins, w=None, decimate=True): '''Compute entropy scores, given a variance and # of bins ''' if w is None: n = len(var) w = np.arange(0,n,n//bins) / float(n) if decimate: n = len(var) var = var[0:n:n//bins] score = w * np.log(var * w * np.sqr...
Compute entropy scores, given a variance and # of bins
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/otsu.py#L205-L217
CellProfiler/centrosome
centrosome/otsu.py
running_variance
def running_variance(x): '''Given a vector x, compute the variance for x[0:i] Thank you http://www.johndcook.com/standard_deviation.html S[i] = S[i-1]+(x[i]-mean[i-1])*(x[i]-mean[i]) var(i) = S[i] / (i-1) ''' n = len(x) # The mean of x[0:i] m = x.cumsum() / np.arange(1,n+1) # x[...
python
def running_variance(x): '''Given a vector x, compute the variance for x[0:i] Thank you http://www.johndcook.com/standard_deviation.html S[i] = S[i-1]+(x[i]-mean[i-1])*(x[i]-mean[i]) var(i) = S[i] / (i-1) ''' n = len(x) # The mean of x[0:i] m = x.cumsum() / np.arange(1,n+1) # x[...
Given a vector x, compute the variance for x[0:i] Thank you http://www.johndcook.com/standard_deviation.html S[i] = S[i-1]+(x[i]-mean[i-1])*(x[i]-mean[i]) var(i) = S[i] / (i-1)
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/otsu.py#L236-L254
CellProfiler/centrosome
centrosome/outline.py
outline
def outline(labels): """Given a label matrix, return a matrix of the outlines of the labeled objects If a pixel is not zero and has at least one neighbor with a different value, then it is part of the outline. """ output = numpy.zeros(labels.shape, labels.dtype) lr_different = labels[1...
python
def outline(labels): """Given a label matrix, return a matrix of the outlines of the labeled objects If a pixel is not zero and has at least one neighbor with a different value, then it is part of the outline. """ output = numpy.zeros(labels.shape, labels.dtype) lr_different = labels[1...
Given a label matrix, return a matrix of the outlines of the labeled objects If a pixel is not zero and has at least one neighbor with a different value, then it is part of the outline.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/outline.py#L4-L34
CellProfiler/centrosome
centrosome/neighmovetrack.py
euclidean_dist
def euclidean_dist(point1, point2): """Compute the Euclidean distance between two points. Parameters ---------- point1, point2 : 2-tuples of float The input points. Returns ------- d : float The distance between the input points. Examples -------- >>> point1 = ...
python
def euclidean_dist(point1, point2): """Compute the Euclidean distance between two points. Parameters ---------- point1, point2 : 2-tuples of float The input points. Returns ------- d : float The distance between the input points. Examples -------- >>> point1 = ...
Compute the Euclidean distance between two points. Parameters ---------- point1, point2 : 2-tuples of float The input points. Returns ------- d : float The distance between the input points. Examples -------- >>> point1 = (1.0, 2.0) >>> point2 = (4.0, 6.0) # (...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L14-L36
CellProfiler/centrosome
centrosome/neighmovetrack.py
CellFeatures.from_labels
def from_labels(labels): """ Creates list of cell features based on label image (1-oo pixel values) @return: list of cell features in the same order as labels """ labels = labels.astype(int) areas = scipy.ndimage.measurements.sum(labels != 0, labels, list(range(1, numpy...
python
def from_labels(labels): """ Creates list of cell features based on label image (1-oo pixel values) @return: list of cell features in the same order as labels """ labels = labels.astype(int) areas = scipy.ndimage.measurements.sum(labels != 0, labels, list(range(1, numpy...
Creates list of cell features based on label image (1-oo pixel values) @return: list of cell features in the same order as labels
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L105-L126
CellProfiler/centrosome
centrosome/neighmovetrack.py
Trace.from_detections_assignment
def from_detections_assignment(detections_1, detections_2, assignments): """ Creates traces out of given assignment and cell data. """ traces = [] for d1n, d2n in six.iteritems(assignments): # check if the match is between existing cells if d1n < len(dete...
python
def from_detections_assignment(detections_1, detections_2, assignments): """ Creates traces out of given assignment and cell data. """ traces = [] for d1n, d2n in six.iteritems(assignments): # check if the match is between existing cells if d1n < len(dete...
Creates traces out of given assignment and cell data.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L171-L182
CellProfiler/centrosome
centrosome/neighmovetrack.py
NeighbourMovementTracking.run_tracking
def run_tracking(self, label_image_1, label_image_2): """ Tracks cells between input label images. @returns: injective function from old objects to new objects (pairs of [old, new]). Number are compatible with labels. """ self.scale = self.parameters_tracking["avgCellDiameter"] ...
python
def run_tracking(self, label_image_1, label_image_2): """ Tracks cells between input label images. @returns: injective function from old objects to new objects (pairs of [old, new]). Number are compatible with labels. """ self.scale = self.parameters_tracking["avgCellDiameter"] ...
Tracks cells between input label images. @returns: injective function from old objects to new objects (pairs of [old, new]). Number are compatible with labels.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L198-L218
CellProfiler/centrosome
centrosome/neighmovetrack.py
NeighbourMovementTracking.is_cell_big
def is_cell_big(self, cell_detection): """ Check if the cell is considered big. @param CellFeature cell_detection: @return: """ return cell_detection.area > self.parameters_tracking["big_size"] * self.scale * self.scale
python
def is_cell_big(self, cell_detection): """ Check if the cell is considered big. @param CellFeature cell_detection: @return: """ return cell_detection.area > self.parameters_tracking["big_size"] * self.scale * self.scale
Check if the cell is considered big. @param CellFeature cell_detection: @return:
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L220-L228
CellProfiler/centrosome
centrosome/neighmovetrack.py
NeighbourMovementTracking.find_closest_neighbours
def find_closest_neighbours(cell, all_cells, k, max_dist): """ Find k closest neighbours of the given cell. :param CellFeatures cell: cell of interest :param all_cells: cell to consider as neighbours :param int k: number of neighbours to be returned :param int max_dist: m...
python
def find_closest_neighbours(cell, all_cells, k, max_dist): """ Find k closest neighbours of the given cell. :param CellFeatures cell: cell of interest :param all_cells: cell to consider as neighbours :param int k: number of neighbours to be returned :param int max_dist: m...
Find k closest neighbours of the given cell. :param CellFeatures cell: cell of interest :param all_cells: cell to consider as neighbours :param int k: number of neighbours to be returned :param int max_dist: maximal distance in pixels to consider neighbours :return: k closest nei...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L252-L265
CellProfiler/centrosome
centrosome/neighmovetrack.py
NeighbourMovementTracking.calculate_basic_cost
def calculate_basic_cost(self, d1, d2): """ Calculates assignment cost between two cells. """ distance = euclidean_dist(d1.center, d2.center) / self.scale area_change = 1 - min(d1.area, d2.area) / max(d1.area, d2.area) return distance + self.parameters_cost_initial["are...
python
def calculate_basic_cost(self, d1, d2): """ Calculates assignment cost between two cells. """ distance = euclidean_dist(d1.center, d2.center) / self.scale area_change = 1 - min(d1.area, d2.area) / max(d1.area, d2.area) return distance + self.parameters_cost_initial["are...
Calculates assignment cost between two cells.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L267-L275
CellProfiler/centrosome
centrosome/neighmovetrack.py
NeighbourMovementTracking.calculate_localised_cost
def calculate_localised_cost(self, d1, d2, neighbours, motions): """ Calculates assignment cost between two cells taking into account the movement of cells neighbours. :param CellFeatures d1: detection in first frame :param CellFeatures d2: detection in second frame """ ...
python
def calculate_localised_cost(self, d1, d2, neighbours, motions): """ Calculates assignment cost between two cells taking into account the movement of cells neighbours. :param CellFeatures d1: detection in first frame :param CellFeatures d2: detection in second frame """ ...
Calculates assignment cost between two cells taking into account the movement of cells neighbours. :param CellFeatures d1: detection in first frame :param CellFeatures d2: detection in second frame
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L277-L296
CellProfiler/centrosome
centrosome/neighmovetrack.py
NeighbourMovementTracking.calculate_costs
def calculate_costs(self, detections_1, detections_2, calculate_match_cost, params): """ Calculates assignment costs between detections and 'empty' spaces. The smaller cost the better. @param detections_1: cell list of size n in previous frame @param detections_2: cell list of size m in...
python
def calculate_costs(self, detections_1, detections_2, calculate_match_cost, params): """ Calculates assignment costs between detections and 'empty' spaces. The smaller cost the better. @param detections_1: cell list of size n in previous frame @param detections_2: cell list of size m in...
Calculates assignment costs between detections and 'empty' spaces. The smaller cost the better. @param detections_1: cell list of size n in previous frame @param detections_2: cell list of size m in current frame @return: cost matrix (n+m)x(n+m) extended by cost of matching cells with emptines...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L298-L341
CellProfiler/centrosome
centrosome/neighmovetrack.py
NeighbourMovementTracking.solve_assignement
def solve_assignement(self, costs): """ Solves assignment problem using Hungarian implementation by Brian M. Clapper. @param costs: square cost matrix @return: assignment function @rtype: int->int """ if costs is None or len(costs) == 0: return dict...
python
def solve_assignement(self, costs): """ Solves assignment problem using Hungarian implementation by Brian M. Clapper. @param costs: square cost matrix @return: assignment function @rtype: int->int """ if costs is None or len(costs) == 0: return dict...
Solves assignment problem using Hungarian implementation by Brian M. Clapper. @param costs: square cost matrix @return: assignment function @rtype: int->int
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/neighmovetrack.py#L363-L386
CellProfiler/centrosome
centrosome/smooth.py
smooth_with_noise
def smooth_with_noise(image, bits): """Smooth the image with a per-pixel random multiplier image - the image to perturb bits - the noise is this many bits below the pixel value The noise is random with normal distribution, so the individual pixels get either multiplied or divided by a norm...
python
def smooth_with_noise(image, bits): """Smooth the image with a per-pixel random multiplier image - the image to perturb bits - the noise is this many bits below the pixel value The noise is random with normal distribution, so the individual pixels get either multiplied or divided by a norm...
Smooth the image with a per-pixel random multiplier image - the image to perturb bits - the noise is this many bits below the pixel value The noise is random with normal distribution, so the individual pixels get either multiplied or divided by a normally distributed # of bits
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/smooth.py#L6-L25
CellProfiler/centrosome
centrosome/smooth.py
smooth_with_function_and_mask
def smooth_with_function_and_mask(image, function, mask): """Smooth an image with a linear function, ignoring the contribution of masked pixels image - image to smooth function - a function that takes an image and returns a smoothed image mask - mask with 1's for significant pixels, 0 for masked p...
python
def smooth_with_function_and_mask(image, function, mask): """Smooth an image with a linear function, ignoring the contribution of masked pixels image - image to smooth function - a function that takes an image and returns a smoothed image mask - mask with 1's for significant pixels, 0 for masked p...
Smooth an image with a linear function, ignoring the contribution of masked pixels image - image to smooth function - a function that takes an image and returns a smoothed image mask - mask with 1's for significant pixels, 0 for masked pixels This function calculates the fractional contributi...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/smooth.py#L27-L47
CellProfiler/centrosome
centrosome/smooth.py
circular_gaussian_kernel
def circular_gaussian_kernel(sd,radius): """Create a 2-d Gaussian convolution kernel sd - standard deviation of the gaussian in pixels radius - build a circular kernel that convolves all points in the circle bounded by this radius """ i,j = np.mgrid[-radius:radius+1,-radius:ra...
python
def circular_gaussian_kernel(sd,radius): """Create a 2-d Gaussian convolution kernel sd - standard deviation of the gaussian in pixels radius - build a circular kernel that convolves all points in the circle bounded by this radius """ i,j = np.mgrid[-radius:radius+1,-radius:ra...
Create a 2-d Gaussian convolution kernel sd - standard deviation of the gaussian in pixels radius - build a circular kernel that convolves all points in the circle bounded by this radius
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/smooth.py#L49-L68
CellProfiler/centrosome
centrosome/smooth.py
fit_polynomial
def fit_polynomial(pixel_data, mask, clip=True): '''Return an "image" which is a polynomial fit to the pixel data Fit the image to the polynomial Ax**2+By**2+Cxy+Dx+Ey+F pixel_data - a two-dimensional numpy array to be fitted mask - a mask of pixels whose intensities should be considered ...
python
def fit_polynomial(pixel_data, mask, clip=True): '''Return an "image" which is a polynomial fit to the pixel data Fit the image to the polynomial Ax**2+By**2+Cxy+Dx+Ey+F pixel_data - a two-dimensional numpy array to be fitted mask - a mask of pixels whose intensities should be considered ...
Return an "image" which is a polynomial fit to the pixel data Fit the image to the polynomial Ax**2+By**2+Cxy+Dx+Ey+F pixel_data - a two-dimensional numpy array to be fitted mask - a mask of pixels whose intensities should be considered in the least squares fit clip...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/smooth.py#L70-L99
CellProfiler/centrosome
centrosome/threshold.py
get_threshold
def get_threshold(threshold_method, threshold_modifier, image, mask=None, labels = None, threshold_range_min = None, threshold_range_max = None, threshold_correction_factor = 1.0, adaptive_window_size = 10, **kwargs): """Compute a threshold fo...
python
def get_threshold(threshold_method, threshold_modifier, image, mask=None, labels = None, threshold_range_min = None, threshold_range_max = None, threshold_correction_factor = 1.0, adaptive_window_size = 10, **kwargs): """Compute a threshold fo...
Compute a threshold for an image threshold_method - one of the TM_ methods above threshold_modifier - TM_GLOBAL to calculate one threshold over entire image TM_ADAPTIVE to calculate a per-pixel threshold TM_PER_OBJECT to calculate a different threshold for ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L64-L153
CellProfiler/centrosome
centrosome/threshold.py
get_global_threshold
def get_global_threshold(threshold_method, image, mask = None, **kwargs): """Compute a single threshold over the whole image""" if mask is not None and not np.any(mask): return 1 if threshold_method == TM_OTSU: fn = get_otsu_threshold elif threshold_method == TM_MOG: fn = ge...
python
def get_global_threshold(threshold_method, image, mask = None, **kwargs): """Compute a single threshold over the whole image""" if mask is not None and not np.any(mask): return 1 if threshold_method == TM_OTSU: fn = get_otsu_threshold elif threshold_method == TM_MOG: fn = ge...
Compute a single threshold over the whole image
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L155-L178
CellProfiler/centrosome
centrosome/threshold.py
get_adaptive_threshold
def get_adaptive_threshold(threshold_method, image, threshold, mask = None, adaptive_window_size = 10, **kwargs): """Given a global threshold, compute a threshold per pixel Break the image into blocks, computing the thres...
python
def get_adaptive_threshold(threshold_method, image, threshold, mask = None, adaptive_window_size = 10, **kwargs): """Given a global threshold, compute a threshold per pixel Break the image into blocks, computing the thres...
Given a global threshold, compute a threshold per pixel Break the image into blocks, computing the threshold per block. Afterwards, constrain the block threshold to .7 T < t < 1.5 T. Block sizes must be at least 50x50. Images > 500 x 500 get 10x10 blocks.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L180-L247
CellProfiler/centrosome
centrosome/threshold.py
get_per_object_threshold
def get_per_object_threshold(method, image, threshold, mask=None, labels=None, threshold_range_min = None, threshold_range_max = None, **kwargs): """Return a matrix giving threshold per pixel calculated per-object image ...
python
def get_per_object_threshold(method, image, threshold, mask=None, labels=None, threshold_range_min = None, threshold_range_max = None, **kwargs): """Return a matrix giving threshold per pixel calculated per-object image ...
Return a matrix giving threshold per pixel calculated per-object image - image to be thresholded mask - mask out "don't care" pixels labels - a label mask indicating object boundaries threshold - the global threshold
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L249-L274
CellProfiler/centrosome
centrosome/threshold.py
get_mog_threshold
def get_mog_threshold(image, mask=None, object_fraction = 0.2): """Compute a background using a mixture of gaussians This function finds a suitable threshold for the input image Block. It assumes that the pixels in the image belong to either a background class or an object class. 'pObject' is a...
python
def get_mog_threshold(image, mask=None, object_fraction = 0.2): """Compute a background using a mixture of gaussians This function finds a suitable threshold for the input image Block. It assumes that the pixels in the image belong to either a background class or an object class. 'pObject' is a...
Compute a background using a mixture of gaussians This function finds a suitable threshold for the input image Block. It assumes that the pixels in the image belong to either a background class or an object class. 'pObject' is an initial guess of the prior probability of an object pixel, or equ...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L304-L432
CellProfiler/centrosome
centrosome/threshold.py
get_background_threshold
def get_background_threshold(image, mask = None): """Get threshold based on the mode of the image The threshold is calculated by calculating the mode and multiplying by 2 (an arbitrary empirical factor). The user will presumably adjust the multiplication factor as needed.""" cropped_image = np.array...
python
def get_background_threshold(image, mask = None): """Get threshold based on the mode of the image The threshold is calculated by calculating the mode and multiplying by 2 (an arbitrary empirical factor). The user will presumably adjust the multiplication factor as needed.""" cropped_image = np.array...
Get threshold based on the mode of the image The threshold is calculated by calculating the mode and multiplying by 2 (an arbitrary empirical factor). The user will presumably adjust the multiplication factor as needed.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L436-L468
CellProfiler/centrosome
centrosome/threshold.py
get_robust_background_threshold
def get_robust_background_threshold(image, mask = None, lower_outlier_fraction = 0.05, upper_outlier_fraction = 0.05, deviations_above_average = 2.0, ...
python
def get_robust_background_threshold(image, mask = None, lower_outlier_fraction = 0.05, upper_outlier_fraction = 0.05, deviations_above_average = 2.0, ...
Calculate threshold based on mean & standard deviation The threshold is calculated by trimming the top and bottom 5% of pixels off the image, then calculating the mean and standard deviation of the remaining image. The threshold is then set at 2 (empirical value) standard deviations above th...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L472-L515
CellProfiler/centrosome
centrosome/threshold.py
mad
def mad(a): '''Calculate the median absolute deviation of a sample a - a numpy array-like collection of values returns the median of the deviation of a from its median. ''' a = np.asfarray(a).flatten() return np.median(np.abs(a - np.median(a)))
python
def mad(a): '''Calculate the median absolute deviation of a sample a - a numpy array-like collection of values returns the median of the deviation of a from its median. ''' a = np.asfarray(a).flatten() return np.median(np.abs(a - np.median(a)))
Calculate the median absolute deviation of a sample a - a numpy array-like collection of values returns the median of the deviation of a from its median.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L520-L528
CellProfiler/centrosome
centrosome/threshold.py
binned_mode
def binned_mode(a): '''Calculate a binned mode of a sample a - array of values This routine bins the sample into np.sqrt(len(a)) bins. This is a number that is a compromise between fineness of measurement and the stochastic nature of counting which roughly scales as the square root of ...
python
def binned_mode(a): '''Calculate a binned mode of a sample a - array of values This routine bins the sample into np.sqrt(len(a)) bins. This is a number that is a compromise between fineness of measurement and the stochastic nature of counting which roughly scales as the square root of ...
Calculate a binned mode of a sample a - array of values This routine bins the sample into np.sqrt(len(a)) bins. This is a number that is a compromise between fineness of measurement and the stochastic nature of counting which roughly scales as the square root of the sample size.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L530-L546
CellProfiler/centrosome
centrosome/threshold.py
get_ridler_calvard_threshold
def get_ridler_calvard_threshold(image, mask = None): """Find a threshold using the method of Ridler and Calvard The reference for this method is: "Picture Thresholding Using an Iterative Selection Method" by T. Ridler and S. Calvard, in IEEE Transactions on Systems, Man and Cybernetics, vol. ...
python
def get_ridler_calvard_threshold(image, mask = None): """Find a threshold using the method of Ridler and Calvard The reference for this method is: "Picture Thresholding Using an Iterative Selection Method" by T. Ridler and S. Calvard, in IEEE Transactions on Systems, Man and Cybernetics, vol. ...
Find a threshold using the method of Ridler and Calvard The reference for this method is: "Picture Thresholding Using an Iterative Selection Method" by T. Ridler and S. Calvard, in IEEE Transactions on Systems, Man and Cybernetics, vol. 8, no. 8, August 1978.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L548-L582
CellProfiler/centrosome
centrosome/threshold.py
get_kapur_threshold
def get_kapur_threshold(image, mask=None): """The Kapur, Sahoo, & Wong method of thresholding, adapted to log-space.""" cropped_image = np.array(image.flat) if mask is None else image[mask] if np.product(cropped_image.shape)<3: return 0 if np.min(cropped_image) == np.max(cropped_image): ...
python
def get_kapur_threshold(image, mask=None): """The Kapur, Sahoo, & Wong method of thresholding, adapted to log-space.""" cropped_image = np.array(image.flat) if mask is None else image[mask] if np.product(cropped_image.shape)<3: return 0 if np.min(cropped_image) == np.max(cropped_image): ...
The Kapur, Sahoo, & Wong method of thresholding, adapted to log-space.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L587-L625
CellProfiler/centrosome
centrosome/threshold.py
get_maximum_correlation_threshold
def get_maximum_correlation_threshold(image, mask = None, bins = 256): '''Return the maximum correlation threshold of the image image - image to be thresholded mask - mask of relevant pixels bins - # of value bins to use This is an implementation of the maximum correlation thresh...
python
def get_maximum_correlation_threshold(image, mask = None, bins = 256): '''Return the maximum correlation threshold of the image image - image to be thresholded mask - mask of relevant pixels bins - # of value bins to use This is an implementation of the maximum correlation thresh...
Return the maximum correlation threshold of the image image - image to be thresholded mask - mask of relevant pixels bins - # of value bins to use This is an implementation of the maximum correlation threshold as described in Padmanabhan, "A novel algorithm for optimal image thre...
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L629-L686
CellProfiler/centrosome
centrosome/threshold.py
weighted_variance
def weighted_variance(image, mask, binary_image): """Compute the log-transformed variance of foreground and background image - intensity image used for thresholding mask - mask of ignored pixels binary_image - binary image marking foreground and background """ if not np.any(mask):...
python
def weighted_variance(image, mask, binary_image): """Compute the log-transformed variance of foreground and background image - intensity image used for thresholding mask - mask of ignored pixels binary_image - binary image marking foreground and background """ if not np.any(mask):...
Compute the log-transformed variance of foreground and background image - intensity image used for thresholding mask - mask of ignored pixels binary_image - binary image marking foreground and background
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L691-L718
CellProfiler/centrosome
centrosome/threshold.py
sum_of_entropies
def sum_of_entropies(image, mask, binary_image): """Bin the foreground and background pixels and compute the entropy of the distribution of points among the bins """ mask=mask.copy() mask[np.isnan(image)] = False if not np.any(mask): return 0 # # Clamp the dynamic range of the f...
python
def sum_of_entropies(image, mask, binary_image): """Bin the foreground and background pixels and compute the entropy of the distribution of points among the bins """ mask=mask.copy() mask[np.isnan(image)] = False if not np.any(mask): return 0 # # Clamp the dynamic range of the f...
Bin the foreground and background pixels and compute the entropy of the distribution of points among the bins
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L720-L782
CellProfiler/centrosome
centrosome/threshold.py
log_transform
def log_transform(image): '''Renormalize image intensities to log space Returns a tuple of transformed image and a dictionary to be passed into inverse_log_transform. The minimum and maximum from the dictionary can be applied to an image by the inverse_log_transform to convert it back to its f...
python
def log_transform(image): '''Renormalize image intensities to log space Returns a tuple of transformed image and a dictionary to be passed into inverse_log_transform. The minimum and maximum from the dictionary can be applied to an image by the inverse_log_transform to convert it back to its f...
Renormalize image intensities to log space Returns a tuple of transformed image and a dictionary to be passed into inverse_log_transform. The minimum and maximum from the dictionary can be applied to an image by the inverse_log_transform to convert it back to its former intensity values.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L784-L804
CellProfiler/centrosome
centrosome/threshold.py
numpy_histogram
def numpy_histogram(a, bins=10, range=None, normed=False, weights=None): '''A version of numpy.histogram that accounts for numpy's version''' args = inspect.getargs(np.histogram.__code__)[0] if args[-1] == "new": return np.histogram(a, bins, range, normed, weights, new=True) return np.histogram(...
python
def numpy_histogram(a, bins=10, range=None, normed=False, weights=None): '''A version of numpy.histogram that accounts for numpy's version''' args = inspect.getargs(np.histogram.__code__)[0] if args[-1] == "new": return np.histogram(a, bins, range, normed, weights, new=True) return np.histogram(...
A version of numpy.histogram that accounts for numpy's version
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/threshold.py#L814-L819
CellProfiler/centrosome
centrosome/rankorder.py
rank_order
def rank_order(image, nbins=None): """Return an image of the same shape where each pixel has the rank-order value of the corresponding pixel in the image. The returned image's elements are of type np.uint32 which simplifies processing in C code. """ flat_image = image.ravel() sort_order = fl...
python
def rank_order(image, nbins=None): """Return an image of the same shape where each pixel has the rank-order value of the corresponding pixel in the image. The returned image's elements are of type np.uint32 which simplifies processing in C code. """ flat_image = image.ravel() sort_order = fl...
Return an image of the same shape where each pixel has the rank-order value of the corresponding pixel in the image. The returned image's elements are of type np.uint32 which simplifies processing in C code.
https://github.com/CellProfiler/centrosome/blob/7bd9350a2d4ae1b215b81eabcecfe560bbb1f32a/centrosome/rankorder.py#L4-L61