LCVTP is a dataset directory which contains examples of LCVTP's, that is, Latinized Centroidal Voronoi Tessellations over a periodic domain.
The datasets were created in a two step process. First, the program CVTP_DATASET was used to set up a CVTP dataset on a logical torus. Then the program LATINIZE was used to "latinize" the dataset.
The datasets created on the first step contain N points in M-dimensions, with the points having the property that they are (approximately) the centroids of the Voronoi regions that they generate, in the logical torus geometry. On the second step, the points in the dataset are modified (slightly, one hopes) so that they have the Latin square property.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
CVTP, a dataset directory which contains examples of CVTP's, that is, Centroidal Voronoi Tessellations on a periodic domain.
CVTP, a FORTRAN90 library which creates a CVTP, that is, a Centroidal Voronoi Tessellation on a periodic domain.
LATINIZE, a FORTRAN90 program which was used to "latinize" the datasets.
LCVT_DATASET, a FORTRAN90 program which allows a user to define and compute a latinized CVT dataset
PLOT_POINTS, a FORTRAN90 program which can plot two dimensional datasets, making Encapsulated PostScript images.
TABLE_TOP, a FORTRAN90 program which can be used to analyze datasets of any dimension, by creating images of pairwise coordinates.
A typical (but small) dataset looks like this:
0.45 0.95 0.85 0.55 0.65 0.25 0.35 0.35 0.15 0.75 0.25 0.45 0.55 0.65 0.75 0.85 0.95 0.15 0.05 0.05
The first family of points is in M = 2 dimensions.
The second family of points is in M = 7 dimensions.
The third family of points is in M = 16 dimensions.
You can go up one level to the DATASETS directory.