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<html>
<head>
<title>
PLOT_POINTS - Plot points
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
PLOT_POINTS <br> Plot points
</h1>
<hr>
<p>
<b>PLOT_POINTS</b>
is a FORTRAN90 program which
reads data in the
<a href = "../../data/xy/xy.html">
XY file format</a>
and creates an
<a href = "../../data/eps/eps.html">Encapsulated PostScript file</a>.
</p>
<p>
In fact, <b>PLOT_POINTS</b> can read data in the more general
<a href = "../../data/table/table.html">
TABLE file format</a>, allowing the user to select the two coordinates
that will play the role of <b>X</b> and <b>Y</b>.
</p>
<p>
Plots you can make include:
<ul>
<li>
a dot plot of the points,
</li>
<li>
the line formed by connecting consecutive points
(great for displaying Brownian motion),
</li>
<li>
the Delaunay triangulation of the points,
</li>
<li>
the Voronoi diagram,
</li>
<li>
the triangulated Voronoi polygons.
</li>
<li>
a balloon plot of the points, in which each point is
surrounded by a maximal circle that does not intersect
the others. (assumes the points lie in [0,1] x [0,1]).
</li>
</ul>
</p>
<p>
You can specify the input file, add one box or circle, specify
the kind of plot to be made, and a few other options, by entering
commands interactively. The set of commands can be gotten
via the "HELP" command. The full list is:
<table border = 1>
<tr><th>command </th><th>Meaning</th></tr>
<tr><td>BALLOON </td><td>a "balloon" plot of points.</td></tr>
<tr><td>DASH </td><td>dash plot of connected points.</td></tr>
<tr><td>DOT </td><td>dot plot of points.</td></tr>
<tr><td>DEL </td><td>Delaunay triangulation plot</td></tr>
<tr><td>KM </td><td>K-Means plot.</td></tr>
<tr><td>TH </td><td>thin the points.</td></tr>
<tr><td>TV </td><td>triangulated Voronoi diagram.</td></tr>
<tr><td>VOR </td><td>Voronoi diagram plot.</td></tr>
<hr>
<tr><td>Q </td><td>quit.</td></tr>
<tr><td>READ filename </td><td>read another input file.</td></tr>
<tr><td>OUTPUT filename </td><td>name the next output file.</td></tr>
<tr><td>BOX x1 y1 x2 y2 </td><td>draw a single box in the plot.</td></tr>
<tr><td>NOBOX </td><td>do not draw a box in the plot.</td></tr>
<tr><td>CIRCLE x y r </td><td>draw a single circle in the plot.</td></tr>
<tr><td>NOCIRCLE </td><td>do not draw a circle in the plot.</td></tr>
<tr><td>MARKER_SIZE = n </td><td>Specify marker size.</td></tr>
<tr><td>SHADOW </td><td>mark X and Y axes for each point.</td></tr>
<tr><td>TITLE </td><td>enter a title for the next plot.</td></tr>
<tr><td>X = n </td><td>specify data index to use as X.</td></tr>
<tr><td>Y = n </td><td>specify data index to use as Y.</td></tr>
<tr><td># comment </td><td>make a comment.</td></tr>
</table>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/box_plot/box_plot.html">
BOX_PLOT</a>,
a MATLAB program which
can color in specified entries of
a checkerboard, corresponding to pairs of integer data.
</p>
<p>
<a href = "../../f_src/ps_write/ps_write.html">
PS_WRITE</a>,
a FORTRAN90 library which
is used by PLOT_POINTS.
</p>
<p>
<a href = "../../m_src/xy_display/xy_display.html">
XY_DISPLAY</a>,
a MATLAB program which
can read a file of coordinates of points, and display an image of the
points in a MATLAB graphics window.
</p>
<p>
<a href = "../../cpp_src/xy_display_opengl/xy_display_opengl.html">
XY_DISPLAY_OPENGL</a>,
a C++ program which
can read a file containing 2D point coordinates, and display
an image of those points using Open GL.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Barry Joe,<br>
GEOMPACK - a software package for the generation of meshes
using geometric algorithms, <br>
Advances in Engineering Software,<br>
Volume 13, pages 325-331, 1991.
</li>
<li>
Henry McGilton, Mary Campione,<br>
PostScript by Example,<br>
Addison-Wesley,<br>
ISBN: 0-201-63228-4
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "plot_points.f90">plot_points.f90</a>, the source code.
</li>
<li>
<a href = "plot_points.sh">plot_points.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "plot_points_input.txt">plot_points_input.txt</a>,
a set of commands, that could be entered interactively,
to produce all the following plots.
</li>
<li>
<a href = "plot_points_output.txt">plot_points_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
<b>ANNULUS_25</b> is 25 points in an annulus:
<ul>
<li>
<a href = "annulus_25.xy">annulus_25.xy</a>, the points.
</li>
<li>
<a href = "annulus_25_dot.png">annulus_25_dot.png</a>, a dot plot.
</li>
<li>
<a href = "annulus_25_del.png">annulus_25_del.png</a>,
the Delaunay triangulation plot.
</li>
<li>
<a href = "annulus_25_vor.png">annulus_25_vor.png</a>,
the Voronoi diagram plot.
</li>
</ul>
</p>
<p>
<b>BROWNIAN_100</b> is 100 points of simulated Brownian motion,
created by
<a href = "../../f_src/random_data/random_data.html">
the RANDOM_DATA</a> program:
<ul>
<li>
<a href = "brownian_100.xy">brownian_100.xy</a>, the points.
</li>
<li>
<a href = "brownian_100_dash.png">brownian_100_dash.png</a>,
a plot of the points, connecting consecutive points.
</li>
</ul>
</p>
<p>
<b>CIE_XY_81</b> is 81 points of CIE (x,y) coordinates for pure light,
created by a sample program that uses
<a href = "../../f_src/colors/colors.html">
the COLORS</a> library:
<ul>
<li>
<a href = "cie_xy_81.xy">cie_xy_81.xy</a>, the points.
</li>
<li>
<a href = "cie_xy_81_dash.png">cie_xy_81_dash.png</a>,
a plot of the points, connecting consecutive points.
</li>
</ul>
</p>
<p>
<b>CIRCLE_25</b> is 25 points on a circle:
<ul>
<li>
<a href = "circle_25.xy">circle_25.xy</a>, the points.
</li>
<li>
<a href = "circle_25_dot.png">circle_25_dot.png</a>, a dot plot.
</li>
<li>
<a href = "circle_25_del.png">circle_25_del.png</a>,
the Delaunay triangulation plot.
</li>
<li>
<a href = "circle_25_vor.png">circle_25_vor.png</a>,
the Voronoi diagram plot.
</li>
</ul>
</p>
<p>
<b>CVT_02_00010</b> is a set of 10 points in 2D, generated by
a centroidal Voronoi Tessellation program, and part of the
<a href = "../../datasets/cvt/cvt.html">CVT dataset</a>:
<ul>
<li>
<a href = "cvt_02_00010.xy">
cvt_02_00010.xy</a>, the points.
</li>
<li>
<a href = "cvt_02_00010_balloon.png">
cvt_02_00010_balloon.png</a>,
a balloon plot.
</li>
<li>
<a href = "cvt_02_00010_dot.png">
cvt_02_00010_dot.png</a>,
a dot plot.
</li>
<li>
<a href = "cvt_02_00010_vor.png">
cvt_02_00010_vor.png</a>,
a Voronoi plot.
</li>
</ul>
</p>
<p>
<b>CVT_02_00100</b> is a set of 100 points in 2D, generated by
a centroidal Voronoi Tessellation program, and part of the
<a href = "../../datasets/cvt/cvt.html">CVT dataset</a>:
<ul>
<li>
<a href = "cvt_02_00100.xy">
cvt_02_00100.xy</a>, the points.
</li>
<li>
<a href = "cvt_02_00100_balloon.png">
cvt_02_00100_balloon.png</a>,
a balloon plot.
</li>
<li>
<a href = "cvt_02_00100_dot.png">
cvt_02_00100_dot.png</a>,
a dot plot.
</li>
<li>
<a href = "cvt_02_00100_vor.png">
cvt_02_00100_vor.png</a>,
a Voronoi plot.
</li>
</ul>
</p>
<p>
<b>DIAMOND_09</b> is 9 points whose Voronoi diagram contains one
cell whose vertices are known exactly, and which looks roughly
like a diamond:
<ul>
<li>
<a href = "diamond_02_00009.xy">diamond_02_00009.xy</a>, the points.
</li>
<li>
<a href = "diamond_02_00009_del.png">diamond_02_00009_del.png</a>,
the Delaunay triangulation plot.
</li>
<li>
<a href = "diamond_02_00009_vor.png">diamond_02_00009_vor.png</a>,
the Voronoi diagram plot.
</li>
</ul>
</p>
<p>
<b>GRID_49</b> is a set of 49 points in a grid:
<ul>
<li>
<a href = "grid_49.xy">grid_49.xy</a>, the points.
</li>
<li>
<a href = "grid_49_dot.png">grid_49_dot.png</a>, a dot plot.
</li>
<li>
<a href = "grid_49_del.png">grid_49_del.png</a>,
the Delaunay triangulation plot.
</li>
<li>
<a href = "grid_49_vor.png">grid_49_vor.png</a>,
the Voronoi diagram plot.
</li>
</ul>
</p>
<p>
<b>JU1</b> is Lili Ju's first data set. Lili Ju gave me some data sets
to analyze with this program. The data represents certain
centroidal Voronoi tessellation generators, using certain density
functions.
<ul>
<li>
<a href = "ju1.xy">ju1.xy</a>, the points.
</li>
<li>
<a href = "ju1_dot.png">ju1_dot.png</a>, a dot plot.
</li>
<li>
<a href = "ju1_del.png">ju1_delaunay.png</a>,
the Delaunay triangulation.
</li>
<li>
<a href = "ju1_tv.png">ju1_tv.png</a>,
the triangulated Voronoi diagram.
</li>
<li>
<a href = "ju1_vor.png">ju1_vor.png</a>, the Voronoi diagram.
</li>
</ul>
</p>
<p>
<b>JU2</b> is Lili Ju's second data set:
<ul>
<li>
<a href = "ju2.xy">ju2.xy</a>, the points.
</li>
<li>
<a href = "ju2_dot.png">ju2_dot.png</a>, a dot plot.
</li>
<li>
<a href = "ju2_del.png">ju2_del.png</a>,
the Delaunay triangulation.
</li>
<li>
<a href = "ju2_tv.png">ju2_tv.png</a>, the triangulated
Voronoi diagram.
</li>
<li>
<a href = "ju2_vor.png">ju2_vor.png</a>, the Voronoi diagram.
</li>
</ul>
</p>
<p>
<b>JU3</b> is Lili Ju's third data set:
<ul>
<li>
<a href = "ju3.xy">ju3.xy</a>, the points.
</li>
<li>
<a href = "ju3_dot.png">ju3_dot.png</a>, a dot plot.
</li>
<li>
<a href = "ju3_del.png">ju3_del.png</a>,
the Delaunay triangulation.
</li>
<li>
<a href = "ju3_vor.png">ju3_vor.png</a>, the Voronoi diagram.
</li>
<li>
<a href = "ju3_tv.png">ju3_tv.png</a>,
the triangulated Voronoi diagram.
</li>
</ul>
</p>
<p>
<b>LSUP_303</b> is 303 points that outline Lake Superior:
<ul>
<li>
<a href = "lsup_303.xy">lsup_303.xy</a>, the points.
</li>
<li>
<a href = "lsup_303_dot.png">lsup_303_dot.png</a>, a dot plot.
</li>
</ul>
</p>
<p>
<b>REPEATS_17</b> is a set of 17 points with some repeated:
<ul>
<li>
<a href = "repeats_17.xy">repeats_17.xy</a>, the points.
</li>
<li>
<a href = "repeats_17_dot.png">repeats_17_dot.png</a>, a dot plot.
</li>
</ul>
</p>
<p>
<b>UNIFORM_02_00010</b> is a set of 10 points in 2D, generated by
a uniform random number generator, and part of the
<a href = "../../datasets/uniform/uniform.html">UNIFORM dataset</a>:
<ul>
<li>
<a href = "uniform_02_00010.xy">
uniform_02_00010.xy</a>, the points.
</li>
<li>
<a href = "uniform_02_00010_balloon.png">
uniform_02_00010_balloon.png</a>,
a balloon plot.
</li>
<li>
<a href = "uniform_02_00010_dot.png">
uniform_02_00010_dot.png</a>,
a dot plot.
</li>
<li>
<a href = "uniform_02_00010_vor.png">
uniform_02_00010_vor.png</a>,
a Voronoi plot.
</li>
</ul>
</p>
<p>
<b>UNIFORM_02_00100</b> is a set of 100 points in 2D, generated by
a uniform random number generator, and part of the
<a href = "../../datasets/uniform/uniform.html">UNIFORM dataset</a>:
<ul>
<li>
<a href = "uniform_02_00100.xy">
uniform_02_00100.xy</a>, the points.
</li>
<li>
<a href = "uniform_02_00100_balloon.png">
uniform_02_00100_balloon.png</a>,
a balloon plot.
</li>
<li>
<a href = "uniform_02_00100_dot.png">
uniform_02_00100_dot.png</a>,
a dot plot.
</li>
<li>
<a href = "uniform_02_00100_vor.png">
uniform_02_00100_vor.png</a>,
a Voronoi plot.
</li>
</ul>
</p>
<p>
<b>UNIFORM_02_00100_KM5</b> is a set of 100 points in 2D, generated by
a uniform random number generator, and organized into 5 clusters
using the
<a href = "../../f_src/kmeans/kmeans.html">KMEANS program</a>:
<ul>
<li>
<a href = "uniform_02_00100_km5.txt">
uniform_02_00100_km5.txt</a>, is a file with a special format
containing the points and their cluster assignments and the
cluster centers.
</li>
<li>
<a href = "uniform_02_00100_km5.png">
uniform_02_00100_km5.png</a>,
is a plot of the points organized into clusters.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>AA_POINT_DATA_MODULE</b> keeps track of some point data.
</li>
<li>
<b>MAIN</b> is the main program for PLOT_POINTS.
</li>
<li>
<b>ANGLE_CONTAINS_RAY_2D</b> determines if an angle contains a ray, in 2D.
</li>
<li>
<b>ANGLE_DEG_2D</b> returns the angle swept out between two rays in 2D.
</li>
<li>
<b>ANGLE_TO_RGB</b> returns a color on the perimeter of the color hexagon.
</li>
<li>
<b>BALLOON_PLOT</b> plots points with maximal nonintersecting circles.
</li>
<li>
<b>BOX_CLIP_LINE_2D</b> uses a box to clip a line segment in 2D.
</li>
<li>
<b>BOX_RAY_INT_2D:</b> intersection ( box, ray ) in 2D.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is a case insensitive comparison of two characters for equality.
</li>
<li>
<b>CH_IS_DIGIT</b> returns .TRUE. if a character is a decimal digit.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>CIRCLE_POINTS</b> returns N equally spaced points on a circle in 2D.
</li>
<li>
<b>DASH_PLOT</b> plots a set of points, and connects them.
</li>
<li>
<b>DATA_READ</b> reads the point data from a file.
</li>
<li>
<b>DELAUNAY_PLOT</b> plots the Delaunay triangulation of a pointset.
</li>
<li>
<b>DIAEDG</b> chooses a diagonal edge.
</li>
<li>
<b>DIGIT_INC</b> increments a decimal digit.
</li>
<li>
<b>DIGIT_TO_CH</b> returns the character representation of a decimal digit.
</li>
<li>
<b>DOT_PLOT</b> makes a plot of a set of points.
</li>
<li>
<b>DTRIS2</b> constructs a Delaunay triangulation of 2D vertices.
</li>
<li>
<b>EPS_FILE_HEAD</b> writes header information to an encapsulated PostScript file.
</li>
<li>
<b>EPS_FILE_TAIL</b> writes trailer information to an encapsulated PostScript file.
</li>
<li>
<b>FILE_COLUMN_COUNT</b> counts the number of columns in the first line of a file.
</li>
<li>
<b>FILE_COLUMN_RANGE</b> determines the minimum and maximum ranges of each column.
</li>
<li>
<b>FILE_NAME_EXT_GET</b> determines the "extension" of a file name.
</li>
<li>
<b>FILE_NAME_EXT_SWAP</b> replaces the current "extension" of a file name.
</li>
<li>
<b>FILE_NAME_INC</b> generates the next filename in a series.
</li>
<li>
<b>GET_UNIT</b> returns a free FORTRAN unit number.
</li>
<li>
<b>I4_LOG_2</b> returns the integer part of the logarithm base 2 of |I|.
</li>
<li>
<b>I4_MODP</b> returns the nonnegative remainder of integer division.
</li>
<li>
<b>I4_SWAP</b> swaps two integer values.
</li>
<li>
<b>I4_TO_ANGLE</b> maps integers to points on a circle.
</li>
<li>
<b>I4_TO_RGB</b> maps integers to RGB colors.
</li>
<li>
<b>I4_WRAP</b> forces an integer to lie between given limits by wrapping.
</li>
<li>
<b>I4MAT_TRANSPOSE_PRINT</b> prints an I4MAT, transposed.
</li>
<li>
<b>I4MAT_TRANSPOSE_PRINT_SOME</b> prints some of the transpose of an I4MAT.
</li>
<li>
<b>I4VEC_HEAP_D</b> reorders an array of integers into a descending heap.
</li>
<li>
<b>I4VEC_INDICATOR</b> sets an integer vector to the indicator vector.
</li>
<li>
<b>I4VEC_SORT_HEAP_A</b> ascending sorts an integer array using heap sort.
</li>
<li>
<b>I4VEC_SORTED_UNIQUE</b> gets the unique elements in a sorted integer array.
</li>
<li>
<b>KMEANS_PLOT</b> plots a K-Means diagram.
</li>
<li>
<b>LINE_EXP2IMP_2D</b> converts an explicit line to implicit form in 2D.
</li>
<li>
<b>LINE_EXP_NORMAL_2D</b> computes the normal to a line in 2D.
</li>
<li>
<b>LINES_EXP_INT_2D</b> determines where two explicit lines intersect in 2D.
</li>
<li>
<b>LINES_IMP_INT_2D</b> determines where two implicit lines intersect in 2D.
</li>
<li>
<b>LRLINE</b> determines if a point is left of, right or, or on a directed line.
</li>
<li>
<b>PERM_INV</b> inverts a permutation "in place".
</li>
<li>
<b>PLOT_SIZE</b> determines a plot range.
</li>
<li>
<b>POINT_INSIDE_BOX_2D</b> determines if a point is inside a box in 2D.
</li>
<li>
<b>POINTS_AVOID_POINT_ND</b> checks if a point is "far" from a set of points in ND.
</li>
<li>
<b>POINTS_COUNT</b> counts the valid point coordinates in a file.
</li>
<li>
<b>POINTS_READ</b> reads point coordinates from a file.
</li>
<li>
<b>POINTS_THIN</b> "thins" points that are too close to each other.
</li>
<li>
<b>PS_CIRCLE</b> draws a circle.
</li>
<li>
<b>PS_CIRCLE_FILL</b> draws a filled circle.
</li>
<li>
<b>PS_CLIP</b> defines a clipping polygon.
</li>
<li>
<b>PS_COLOR_FILL_SET</b> sets the fill color.
</li>
<li>
<b>PS_COLOR_LINE</b> handles the line color.
</li>
<li>
<b>PS_COLOR_LINE_SET</b> sets the line color.
</li>
<li>
<b>PS_COMMENT</b> inserts a comment into the PostScript file.
</li>
<li>
<b>PS_DEFAULT</b> sets the internal settings to their default values
</li>
<li>
<b>PS_FILE_CLOSE</b> closes a PostScript file.
</li>
<li>
<b>PS_FILE_OPEN</b> opens a new version of a PostScript file with a given name.
</li>
<li>
<b>PS_FONT_SIZE</b> sets the font size.
</li>
<li>
<b>PS_LABEL</b> prints a label at the current position.
</li>
<li>
<b>PS_LINE</b> draws a line segment from (X1,Y1) to (X2,Y2).
</li>
<li>
<b>PS_LINE_CLOSED</b> adds the graph of a closed line to a PostScript file.
</li>
<li>
<b>PS_LINE_WIDTH</b> sets the line width.
</li>
<li>
<b>PS_MARK_CIRCLE</b> marks a point with a small open circle.
</li>
<li>
<b>PS_MARK_DISK</b> marks a point with a small filled disk.
</li>
<li>
<b>PS_MARK_POINT</b> marks a point with a tiny point.
</li>
<li>
<b>PS_MOVETO</b> "moves to" a new point, which becomes the current point.
</li>
<li>
<b>PS_PAGE_HEAD</b> writes header information on a new page.
</li>
<li>
<b>PS_PAGE_TAIL</b> writes tail information at the end of a page.
</li>
<li>
<b>PS_POLYGON_FILL</b> adds a filled polygon to a PostScript file.
</li>
<li>
<b>PS_SETTING_INT</b> sets, gets, or prints integer internal PS_WRITE parameters.
</li>
<li>
<b>PS_SETTING_REAL</b> sets, gets, or prints real internal PS_WRITE parameters.
</li>
<li>
<b>PS_TRIANGLE</b> draws an open triangle.
</li>
<li>
<b>R8_SWAP</b> swaps two R8's.
</li>
<li>
<b>R82VEC_PERMUTE</b> permutes an R82VEC in place.
</li>
<li>
<b>R82VEC_SORT_HEAP_INDEX_A</b> does an indexed heap ascending sort of an R82VEC.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT</b> prints an R8MAT, transposed.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT_SOME</b> prints some of an R8MAT, transposed.
</li>
<li>
<b>R8MAT2_INVERSE</b> inverts a 2 by 2 real matrix using Cramer's rule.
</li>
<li>
<b>R8MAT_SOLVE</b> uses Gauss-Jordan elimination to solve an N by N linear system.
</li>
<li>
<b>RADIANS_TO_DEGREES</b> converts an angle from radians to degrees.
</li>
<li>
<b>RADIUS_MAXIMUS</b> finds the biggest possible nonintersecting sphere.
</li>
<li>
<b>S_BLANK_DELETE</b> removes blanks from a string, left justifying the remainder.
</li>
<li>
<b>S_CAP</b> replaces any lowercase letters by uppercase ones in a string.
</li>
<li>
<b>S_EQI</b> is a case insensitive comparison of two strings for equality.
</li>
<li>
<b>S_INDEX_LAST</b> finds the LAST occurrence of a given substring.
</li>
<li>
<b>S_TO_I4</b> reads an I4 from a string.
</li>
<li>
<b>S_TO_R8</b> reads an R8 from a string.
</li>
<li>
<b>S_TO_R8VEC</b> reads an R8VEC from a string.
</li>
<li>
<b>S_WORD_COUNT</b> counts the number of "words" in a string.
</li>
<li>
<b>SWAPEC</b> swaps diagonal edges until all triangles are Delaunay.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TIMESTRING</b> writes the current YMDHMS date into a string.
</li>
<li>
<b>TRIANGLE_CIRCUMCENTER_2D</b> computes the circumcenter of a triangle in 2D.
</li>
<li>
<b>TRIANGULATION_ORDER3_PRINT</b> prints out information defining a Delaunay triangulation.
</li>
<li>
<b>TRIVOR_PLOT</b> plots the triangulated Voronoi diagram of a set of points in 2D.
</li>
<li>
<b>VBEDG</b> determines which boundary edges are visible to a point.
</li>
<li>
<b>VORONOI_PLOT</b> plots the Voronoi diagram of a set of points in 2D.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 28 January 2009.
</i>
<!-- John Burkardt -->
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