triangulation_histogram, a C++ 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_filenamewhere 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 MIT license
triangulation_histogram is available in a C++ version and a FORTRAN90 version and a MATLAB version.
RANDOM_DATA, a C++ code which generates sample points for various probability distributions, spatial dimensions, and geometries;
TRIANGLE_HISTOGRAM, a C++ code which computes histograms of data on the unit triangle.
TRIANGULATION, a C++ code which performs 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_L2Q, a C++ code which 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_RCM, a C++ 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 C++ 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 C++ code which reads data defining a triangulation, determines the neighboring triangles of each triangle, and writes that information to a file.
UNIFORM, a C++ code which computes elements of a uniform pseudorandom sequence.