triangulation_refine, a C++ 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 prefixwhere prefix is the common filename prefix:
The computer code and data files described and made available on this web page are distributed under the MIT 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.
TRIANGLE, a C program which computes a triangulation of a geometric region.
TRIANGULATION, a C++ code which carries out various operations on order 3 ("linear") or order 6 ("quadratic") triangulations.
TRIANGULATION_BOUNDARY_NODES, a C++ code which reads data defining a triangulation, determines which nodes lie on the boundary, and writes their coordinates to a file.
TRIANGULATION_CORNER, a C++ code which patches triangulations so that no triangle has two sides on the boundary.
TRIANGULATION_DELAUNAY_DISCREPANCY, a C++ code which measures the amount by which a triangulation fails the local Delaunay test;
TRIANGULATION_DISPLAY_OPENGL, a C++ code which reads files defining a triangulation and displays an image using Open GL.
TRIANGULATION_HISTOGRAM, a C++ code which computes histograms of data over a triangulation.
TRIANGULATION_L2Q, a C++ code that reads data defining a 3-node triangulation and generates midside nodes and writes out the corresponding 6-node triangulation.
TRIANGULATION_MASK, a C++ code which takes an existing triangulation and deletes triangles and their corresponding nodes as requested by the user.
TRIANGULATION_NODE_TO_ELEMENT, a C++ code which reads files describing a set of nodes, their triangulation, and the value of one or more quantities at each node, and outputs a file that averages the quantities for each element. This operation in effect creates an "order1" finite element model of the data.
TRIANGULATION_ORDER3, a directory which contains a description and examples of order 3 triangulations.
TRIANGULATION_ORDER6, a directory which contains a description and examples of order 6 triangulations.
TRIANGULATION_ORIENT, a C++ 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 C++ code which reads data defining a triangulation and creates a PostScript image of the nodes and triangles.
TRIANGULATION_Q2L, a C++ 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 C++ code which estimates the integral of a function over a triangulated region.
TRIANGULATION_QUALITY, a C++ code which reads data defining a triangulation and computes a number of quality measures.
TRIANGULATION_TRIANGLE_NEIGHBORS, a C++ code which reads data defining a triangulation, determines the neighboring triangles of each triangle, and writes that information to a file.