LATIN_EDGE is a MATLAB library which makes Latin Edge Squares.
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 Latin square has been selected, the center of each subsquare is chosen to yield a Latin Edge Square dataset. This is the same technique that yields a Latin Center Square dataset, with the difference that the mapping from the Latin Square to the unit square is shifted in such a way that the lowest and highest possible coordinate values are 0.0 and 1.0, instead of 1/(2*N) and (2*N-1)/(2*N).
Here is an image of a Latin edge 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_EDGE is available in a C++ version and a FORTRAN90 version and a MATLAB version.
CVT, a MATLAB library which computes elements of a Centroidal Voronoi Tessellation.
FAURE, a MATLAB library which computes elements of a Faure quasirandom sequence.
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 quasirandom sequence.
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 MATLAB library which computes elements of a Latin Hypercube dataset, choosing center points.
LATIN_EDGE, a dataset directory which contains a number of examples of datasets created by LATIN_EDGE.
LATIN_EDGE_DATASET, a MATLAB program which creates a Latin Edge Hypercube dataset;
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 van der Corput quasirandom sequence.
You can go up one level to the MATLAB source codes.