TRIANGLE_HISTOGRAM, a MATLAB program which creates a histogram of data in the unit triangle.
The unit triangle has the vertices (1,0), (0,1), (0,0).
"Data" in the unit triangle is assumed to take the form of a file, containing a list of points that lie in the triangle.
The sides of the triangle can each be divided into N subintervals, and by connecting them, the result is N*N subtriangles of the same area.
The program then determines the number of points that lie within each subtriangle, and prints this list.
This program is particularly suitable for investigating whether a set of points in the unit triangle are close to a uniformly sampling, or if there is some bias in the selection.
triangle_histogram ( 'data_file', n )where
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
TRIANGLE_HISTOGRAM is available in a C++ version and a FORTRAN90 version and a MATLAB version.
RANDOM_DATA, a MATLAB program which produces random samples from a number of regions, including triangles.
TRIANGLE_MONTE_CARLO, a MATLAB program which uses the Monte Carlo method to estimate integrals over a triangle.
TRIANGLE_SAMPLES, a dataset directory which contains sets of sample points drawn from the unit triangle.