cvt_box
cvt_box,
a Fortran90 code which
creates a Centroidal Voronoi Tessellation
of points in a 2D box, with points constrained to lie on the boundary
of the region.
This is a fairly simple and limited code, and was designed mainly
for testing and experimentation. Current work is investigating
more interesting regions, including holes, and other ways of
"encouraging" some points to move to the boundary and stay there.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the GNU LGPL license.
Languages:
cvt_box is available in
a C++ version and
a Fortran90 version and
a MATLAB version and
an Octave version.
Related Data and Programs:
cvt_box_test
cvt,
a FORTRAN90 code which
creates CVT's.
cvt,
a dataset directory which
contains files describing a number of CVT's.
cvt_dataset,
a FORTRAN90 code which
creates a CVT dataset.
cvt_reflect,
a FORTRAN90 code which
tries to achieve the same results
as cvt_box but using a "reflection" idea to force points
onto the boundary of the region.
Author:
Original Fortran77 version by Lili Ju.
This version by John Burkardt.
Reference:
-
Franz Aurenhammer,
Voronoi diagrams -
a study of a fundamental geometric data structure,
ACM Computing Surveys,
Volume 23, Number 3, pages 345-405, September 1991.
-
John Burkardt, Max Gunzburger, Janet Peterson and Rebecca Brannon,
User Manual and Supporting Information for Library of Codes
for Centroidal Voronoi Placement and Associated Zeroth,
First, and Second Moment Determination,
Sandia National Laboratories Technical Report SAND2002-0099,
February 2002.
-
Qiang Du, Vance Faber and Max Gunzburger,
Centroidal Voronoi Tessellations: Applications and Algorithms,
SIAM Review, Volume 41, 1999, pages 637-676.
-
Qiang Du, Max Gunzburger and Lili Ju,
Meshfree, Probabilistic Determination of Point Sets and Support
Regions for Meshfree Computing,
Computer Methods in Applied Mechanics in Engineering,
Volume 191, 2002, pages 1349-1366;
-
Lili Ju, Qiang Du and Max Gunzburger,
Probabilistic Methods for Centroidal Voronoi Tessellations and
their Parallel Implementations,
Parallel Computing, Volume 28, 2002, pages 1477-1500.
Source Code:
Last revised on 06 June 2020.