DIST_PLOT
Contour Plots of Distance Function

DIST_PLOT is a MATLAB program which creates a color contour plot of the distance function, as used in Strang and Persson's DISTMESH program.

Usage:

dist_plot ( p, t, @fd )

where

p, a list of node coordinates;
t, a list of node indices forming a triangulation of the nodes;
@fd, points to a distance function d = fd ( p ) which computes the distance d from the region to any point p.

Licensing:

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.

If you use DISTMESH in any program or publication, please acknowledge its authors by citing the reference.

Languages:

DIST_PLOT is available in a MATLAB version.

Related Data and Programs:

DISTMESH, a MATLAB program which is Strang and Persson's code for generating meshes over regions with an associated distance function.

dist_plot_test

LEVELS, a MATLAB library which makes a contour plot, choosing the contour levels using random sampling.

TABLE_IO, a MATLAB library which reads and writes files using the TABLE format; these routines are used by DIST_PLOT_DEMO when reading the input files.

TEST_TRIANGULATION, a MATLAB library which defines some test regions for triangulation.

TRIANGULATION_ORDER3, a data directory which discusses order 3 triangulations; The node and triangle files input to DIST_PLOT are an example of such triangulations.

TRIANGULATION_PLOT, a MATLAB program which can make a plot of a triangulation.

TRIANGLE, a C program which can triangulate a region.

Reference:

http://math.mit.edu/~persson/mesh Per-Olof Persson's web site.
Per-Olof Persson, Gilbert Strang,
A Simple Mesh Generator in MATLAB,
SIAM Review,
Volume 46, Number 2, June 2004, pages 329-345.

Source Code:

dcircle.m returns the signed distance of one or more points to a circle.
ddiff.m returns the signed distance of one or more points to a region defined as the set difference of two regions.
dexpr.m computes the signed distance for a general implicit expression.
dintersect.m returns the signed distance to a region that is the intersection of two regions.
dist_plot.m displays a plot of the distance function over the region.
dpoly.m returns the signed distance of one or more points to a polygon.
drectangle.m returns the signed distance of one or more points to a rectangle.
dsegment.m returns the signed distance of one or more points to a set of line segments.
dsegment.dll (binary file), a Windows DLL file, returns the signed distance of one or more points to a set of line segments. This version is faster than the M-file.
dunion.m returns the signed distance to a region that is the union of two regions.
file_column_count.m counts the number of columns in a table file.
file_row_count.m counts the number of rows in a table file.
i4mat_data_read.m reads the data of an I4MAT file.
i4mat_header_read.m reads the header of an I4MAT file.
i4mat_read.m reads an I4MAT file.
i4mat_write.m writes an I4MAT file.
protate.m rotates a set of points by a given angle.
pshift.m shifts a set of points by a given increment.
r8mat_data_read.m reads the data of an R8MAT file.
r8mat_header_read.m reads the header of an R8MAT file.
r8mat_write.m writes an R8MAT file.
s_len_trim.m returns the length of a string to the last nonblank.
s_word_count.m counts the number of "words" in a string.
timestamp.m prints the current YMDHMS date as a timestamp.

Last revised on 08 January 2019