TABLE_DELAUNAY
Triangulate Points in 2D

TABLE_DELAUNAY is a MATLAB 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' )

• '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 which computes the Delaunay triangulation of points in the plane under a linear mapping.

GEOMPACK, a MATLAB library which contains the routines used for computing the Delaunay triangulation, by Barry Joe.

MESH2D, a MATLAB library which can automatically create a triangular mesh for a given polygonal region, by Darren Engwirda.

STRIPACK, a FORTRAN90 library which can compute the Delaunay triangulation or Voronoi diagram of points on a sphere.

TABLE, a data format which is used for the input to this program.

TABLE_IO, a MATLAB library which supplies the routines used to read the TABLE file.

TABLE_VORONOI, a FORTRAN90 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 MATLAB program which may be used to visualize triangulations.

TRIPACK, a FORTRAN90 library which can compute the Delaunay triangulation of points in the plane.

Reference:

1. Marc deBerg, Marc Krevald, Mark Overmars, Otfried Schwarzkopf,
   Computational Geometry,
   Springer, 2000,
   ISBN: 3-540-65620-0,
   LC: QA448.D38.C65.
2. Herbert Edelsbrunner,
   Geometry and Topology for Mesh Generation,
   Cambridge, 2001,
   ISBN: 0-521-79309-2,
   LC: QA377.E36.
3. Barry Joe,
   GEOMPACK - a software package for the generation of meshes using geometric algorithms,
   Advances in Engineering Software,
   Volume 13, pages 325-331, 1991.
4. Joseph ORourke,
   Computational Geometry,
   Second Edition,
   Cambridge, 1998,
   ISBN: 0521649765,
   LC: QA448.D38.
5. Per-Olof Persson, Gilbert Strang,
   A Simple Mesh Generator in MATLAB,
   SIAM Review,
   Volume 46, Number 2, pages 329-345, June 2004.

Source Code:

• table_delaunay.m, the source code.

Examples and Tests:

HEX_CVT3 puts a set of 139 nodes into the double hexagonal hole region using CVT techniques.

• hex_cvt3_nodes.txt, the nodes.
• hex_cvt3_nodes.png, a PNG image of the nodes.
• hex_cvt3_elements.txt, the element file created by TABLE_DELAUNAY.
• hex_cvt3_triangulation.png, a PNG image of the triangulation.

You can go up one level to the MATLAB source codes.