triangulation_refine, a MATLAB code which reads information describing a triangulation of a set of points and creates a refined triangulation.
The refined triangulation is created by dividing each triangle into four similar subtriangles. The mesh size parameter h will be halved by such a procedure. If the input triangulation is Delaunay, then so will be the output triangulation.
The program can handle triangulations that use 3 or 6 nodes per triangle.
The input and output files use the simple TABLE format; comment lines begin with a "#" character. Otherwise, each line of the file contains one set of information, either the coordinates of a node (for a node file), or the indices of nodes that make up a triangle, (for a triangle file).
The input file prefix_nodes.txt contains the node information for the triangulation. Each data line contains the X and Y coordinates of a single node.
The input file prefix_elements.txt contains the triangle information for the triangulation. Each line contains the indices of 3 or 6 nodes that form a triangle.
triangulation_refine ( 'prefix' )where 'prefix' is the common filename prefix:
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
triangulation_refine is available in a C++ version and a FORTRAN90 version and . a MATLAB version.
table, a data format which is used for the input and output files.
triangulation, a MATLAB code which carries out 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_display, a MATLAB code which displays the nodes and elements of a triangulation on the MATLAB graphics screen;
triangulation_histogram, a MATLAB code which computes histograms of data over a triangulation.
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_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.