TABLE_DELAUNAY
Triangulate Points in 2D
TABLE_DELAUNAY
is a C++ program which
computes the Delaunay triangulation of a set of points in the plane.
Specifically, TABLE_DELAUNAY reads a data file of node coordinates,
computes the Delaunay triangulation of those points, and writes a
triangle file listing the indices of nodes that form each triangle.
Usage:
table_delaunay prefix
where prefix is the common prefix for the node and triangle files,
-
prefix_nodes.txt, the node coordinate file (input).
-
prefix_elements.txt, the element file (output).
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the GNU LGPL license.
Languages:
TABLE_DELAUNAY is available in
a C++ version and
a FORTRAN90 version and
a MATLAB version.
Related Programs:
DELAUNAY_LMAP_2D,
a FORTRAN90 program that
computes the Delaunay triangulation of points
in the plane under a linear mapping.
GEOMPACK,
a C++ library which
computes the Delaunay triangulation.
STRIPACK,
a FORTRAN90 library which
computes the Delaunay triangulation or Voronoi diagram
of points on a sphere.
TABLE,
a file format which
is used for the input to this program.
TABLE_IO,
a C++ library which
supplies the routines used to read the TABLE file.
TABLE_TET_MESH,
a FORTRAN90 program which
can read a table file of 3D data, and compute a
tetrahedral mesh.
TABLE_VORONOI,
a C++ program which
can be used to compute information about the Voronoi diagram of the points.
TRIANGULATION_DISPLAY_OPENGL,
a C++ program which
reads files defining a triangulation and displays an image
using Open GL.
TRIANGULATION_PLOT,
a C++ program which
may be used to visualize the triangulation.
TRIPACK,
a FORTRAN90 library which
computes the Delaunay triangulation of points in the plane.
Reference:
-
Marc deBerg, Marc Krevald, Mark Overmars,
Otfried Schwarzkopf,
Computational Geometry,
Springer, 2000,
ISBN: 3-540-65620-0,
LC: QA448.D38.C65.
-
Herbert Edelsbrunner,
Geometry and Topology for Mesh Generation,
Cambridge, 2001,
ISBN: 0-521-79309-2,
LC: QA377.E36.
-
Barry Joe,
GEOMPACK - a software package for the generation of meshes
using geometric algorithms,
Advances in Engineering Software,
Volume 13, pages 325-331, 1991.
-
Joseph ORourke,
Computational Geometry,
Second Edition,
Cambridge, 1998,
ISBN: 0521649765,
LC: QA448.D38.
-
Per-Olof Persson, Gilbert Strang,
A Simple Mesh Generator in MATLAB,
SIAM Review,
Volume 46, Number 2, pages 329-345, June 2004.
Source Code:
Examples and Tests:
HEX_CVT3 puts a set of 139 nodes into the double hexagonal
hole region using CVT techniques.
List of Routines:
-
MAIN is the main program for TABLE_DELAUNAY.
-
CH_CAP capitalizes a single character.
-
CH_EQI is true if two characters are equal, disregarding case.
-
CH_TO_DIGIT returns the integer value of a base 10 digit.
-
DIAEDG chooses a diagonal edge.
-
DTABLE_DATA_READ reads the data from a DTABLE file.
-
DTABLE_HEADER_READ reads the header from a DTABLE file.
-
DTRIS2 constructs a Delaunay triangulation of 2D vertices.
-
FILE_COLUMN_COUNT counts the number of columns in the first line of a file.
-
FILE_ROW_COUNT counts the number of row records in a file.
-
I4_MAX returns the maximum of two I4's.
-
I4_MIN returns the minimum of two I4's.
-
I4_MODP returns the nonnegative remainder of I4 division.
-
I4_SIGN returns the sign of an I4.
-
I4_WRAP forces an I4 to lie between given limits by wrapping.
-
I4MAT_TRANSPOSE_PRINT_SOME prints some of an I4MAT, transposed.
-
ITABLE_WRITE0 writes an ITABLE file with no header.
-
I4VEC_INDICATOR_NEW sets an I4VEC to the indicator vector.
-
I4VEC_SORT_HEAP_INDEX_A does an indexed heap ascending sort of an I4VEC.
-
LRLINE determines where a point lies in relation to a directed line.
-
PERM_CHECK checks that a vector represents a permutation.
-
PERM_INVERSE inverts a permutation "in place".
-
R8_ABS returns the absolute value of an R8.
-
R8_EPSILON returns the R8 roundoff unit.
-
R8_HUGE returns a "huge" R8.
-
R8_MAX returns the maximum of two R8's.
-
R8_MIN returns the minimum of two R8's.
-
R8_NINT returns the nearest integer to an R8.
-
R82VEC_PERMUTE permutes an R82VEC in place.
-
R82VEC_SORT_HEAP_INDEX_A does an indexed heap ascending sort of an R82VEC.
-
R8MAT_TRANSPOSE_PRINT_SOME prints some of an R8MAT, transposed.
-
S_LEN_TRIM returns the length of a string to the last nonblank.
-
S_TO_R8 reads an R8 from a string.
-
S_TO_R8VEC reads an R8VEC from a string.
-
S_WORD_COUNT counts the number of "words" in a string.
-
SWAPEC swaps diagonal edges until all triangles are Delaunay.
-
TIMESTAMP prints the current YMDHMS date as a time stamp.
-
VBEDG determines which boundary edges are visible to a point.
You can go up one level to
the C++ source codes.
Last revised on 01 October 2009.