generateAngleMatrix

Computes the angle in radians between all point coordinates given in two point lists.

Takes two images containing pointlists (dimensionality n * d, n: number of points and d: dimensionality) and builds up a matrix containing the angles between these points.

Convention: Values range from -90 to 90 degrees (-0.5 to 0.5 pi radians)

-90 degreess (-0.5 pi radians): Top
0 defrees (0 radians): Right
90 degrees (0.5 pi radians): Bottom

Convention: Given two point lists with dimensionality n * d and m * d, the distance matrix will be of size(n + 1) * (m + 1). The first row and column contain zeros. They represent the distance of the objects to a theoretical background object. In that way, distance matrices are of the same size as touch matrices (see generateTouchMatrix). Thus, one can threshold a distance matrix to generate a touch matrix out of it for drawing meshes.

Implemented for 2D only at the moment.

Parameters

coordinate_list1 : Image coordinate_list2 : Image angle_matrix_destination : Image

Returns

angle_matrix_destination

Categories: Graphs, Measurements

Availability: Available in Fiji by activating the update sites clij and clij2. This function is part of clijx_-0.32.0.1.jar.

Usage in ImageJ macro

Ext.CLIJx_generateAngleMatrix(Image coordinate_list1, Image coordinate_list2, Image angle_matrix_destination);

Usage in object oriented programming languages

Java

// init CLIJ and GPU
import net.haesleinhuepf.clijx.CLIJx;
import net.haesleinhuepf.clij.clearcl.ClearCLBuffer;
CLIJx clijx = CLIJx.getInstance();

// get input parameters
ClearCLBuffer coordinate_list1 = clijx.push(coordinate_list1ImagePlus);
ClearCLBuffer coordinate_list2 = clijx.push(coordinate_list2ImagePlus);
angle_matrix_destination = clijx.create(coordinate_list1);

// Execute operation on GPU
clijx.generateAngleMatrix(coordinate_list1, coordinate_list2, angle_matrix_destination);

// show result
angle_matrix_destinationImagePlus = clijx.pull(angle_matrix_destination);
angle_matrix_destinationImagePlus.show();

// cleanup memory on GPU
clijx.release(coordinate_list1);
clijx.release(coordinate_list2);
clijx.release(angle_matrix_destination);

Matlab

% init CLIJ and GPU
clijx = init_clatlabx();

% get input parameters
coordinate_list1 = clijx.pushMat(coordinate_list1_matrix);
coordinate_list2 = clijx.pushMat(coordinate_list2_matrix);
angle_matrix_destination = clijx.create(coordinate_list1);

% Execute operation on GPU
clijx.generateAngleMatrix(coordinate_list1, coordinate_list2, angle_matrix_destination);

% show result
angle_matrix_destination = clijx.pullMat(angle_matrix_destination)

% cleanup memory on GPU
clijx.release(coordinate_list1);
clijx.release(coordinate_list2);
clijx.release(angle_matrix_destination);

clEsperanto Python (experimental)

import pyclesperanto_prototype as cle

cle.generate_angle_matrix(coordinate_list1, coordinate_list2, angle_matrix_destination)

Example notebooks

mesh_with_distances.ipynb

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