triangulation_histogram, a MATLAB code which computes the number of points from a dataset that are contained in each triangle of a triangulation.
One application of this program is simply to determine whether the dataset represents an approximately uniform sampling of the region covered by the triangulation.
triangulation_histogram ( 'prefix', 'data_filename' )where 'prefix' is the common prefix for the node and element files
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
triangulation_histogram is available in a C++ version and a FORTRAN90 version and a MATLAB version.
random_data, a MATLAB code which generates sample points for various probability distributions, spatial dimensions, and geometries;
triangle_histogram, a MATLAB code which computes histograms of data on the unit triangle.
triangulation, a MATLAB code which performs various operations on order 3 ("linear") or order 6 ("quadratic") triangulations.
triangulation_boundary_edges, a MATLAB code which reads data defining a triangulation, determines which edges lie on the boundary, organizes them into connected components, and writes this information to a file.
triangulation_boundary_nodes, a MATLAB code which reads data defining a triangulation, determines which nodes lie on the boundary, and writes their coordinates to a file.
triangulation_corner, a MATLAB code which patches triangulations so that no triangle has two sides on the boundary.
triangulation_delaunay_discrepancy, a MATLAB code which measures the amount by which a triangulation fails the local delaunay test;
triangulation_l2q, a MATLAB code which reads data defining a 3-node triangulation and generates midside nodes and writes out the corresponding 6-node triangulation.
triangulation_mask, a MATLAB code which takes an existing triangulation and deletes triangles and their corresponding nodes as requested by the user.
triangulation_order3, a data directory which contains a description and examples of order 3 triangulations.
triangulation_order6, a data directory which contains a description and examples of order 6 triangulations.
triangulation_orient, a MATLAB code which reads data defining a triangulation, makes sure that every triangle has positive orientation, and if not, writes a corrected triangle file.
triangulation_plot, a MATLAB code which reads data defining a triangulation and creates a postscript image of the nodes and triangles.
triangulation_q2l, a MATLAB code which reads data defining a 6-node triangulation, and subdivides each triangle into 4 3-node triangles, writing the resulting triangulation to a file.
triangulation_quad, a MATLAB code which estimates the integral of a function over a triangulated region.
triangulation_quality a MATLAB code which reads data defining a triangulation and computes a number of quality measures.
triangulation_rcm a MATLAB code which reads data defining a triangulation, determines an ordering of the nodes that will reduce the bandwidth of the adjacency matrix, and writes the new triangulation information to a file.
triangulation_refine a MATLAB code which reads data defining a triangulation, replaces each triangle by four congruent smaller ones, and writes the new triangulation information to a file.
triangulation_triangle_neighbors a MATLAB code which reads data defining a triangulation, determines the neighboring triangles of each triangle, and writes that information to a file.
uniform a MATLAB code which computes elements of a uniform pseudorandom sequence.