LATIN_CENTER is a MATLAB library which makes Latin Center Squares for sampling.
A Latin square is a selection of one point from each row and column of a square matrix or table. In M dimensions, the corresponding item is a set of N points, where, in each dimension, there is exactly one point whose coordinates are in a given "column" or range of values. To emphasize the use of higher dimensions, these objects are sometimes called Latin hypersquares.
Once a particular Latin square has been chosen, if we select the center point of each subsquare, we have a Latin Center Square dataset.
Here is an image of a Latin centered grid with spatial dimension M = 2 and number of points N = 10.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
LATIN_CENTER is available in a C++ version and a FORTRAN90 version and a MATLAB version.
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GRID, a MATLAB library which computes elements of a grid dataset.
HALTON, a MATLAB library which computes elements of a Halton quasirandom sequence.
HAMMERSLEY, a MATLAB library which computes elements of a Hammersley Quasi Monte Carlo (QMC) sequence, using a simple interface.
HEX_GRID, a MATLAB library which computes elements of a hexagonal grid dataset.
IHS, a MATLAB library which computes elements of an improved distributed Latin hypercube dataset.
LATIN_CENTER, a dataset directory which contains a number of examples of datasets created by LATIN_CENTER.
LATIN_CENTER_DATASET, a MATLAB program which allows the user to define, compute and save to a file a Latin center dataset.
LATIN_EDGE, a MATLAB library which computes elements of a Latin Hypercube dataset, choosing edge points.
LATIN_RANDOM, a MATLAB library which computes elements of a Latin Hypercube dataset, choosing points at random.
LATTICE_RULE, a MATLAB library which approximates multidimensional integrals using lattice rules.
LCVT, a MATLAB library which computes a latinized Centroidal Voronoi Tessellation.
NIEDERREITER2, a MATLAB library which computes elements of a Niederreiter quasirandom sequence with base 2.
SOBOL, a MATLAB library which computes elements of a Sobol quasirandom sequence.
UNIFORM, a MATLAB library which computes elements of a uniform pseudorandom sequence.
VAN_DER_CORPUT, a MATLAB library which computes elements of a 1D van der Corput sequence.
You can go up one level to the MATLAB source codes.