triangulation_histogram


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.

Usage:

triangulation_histogram ( 'prefix', 'data_filename' )
where 'prefix' is the common prefix for the node and element files and

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

triangulation_histogram is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

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_histogram_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.

Source Code:


Last revised on 09 April 2019.