MeshRatio measure
The meshRatio criterion is the ratio between the
maximimum and the minimum distance between two points of the experimental design.
meshRatio(design)
design |
a matrix (or a data.frame) representing the design of experiments in the unit cube [0,1]^d. If this last condition is not fulfilled, a transformation into [0,1]^{d} is applied before the computation of the criteria. |
The meshRatio criterion is defined by
meshRatio(\code{design})=max(g_1, ..., g_n)/min(g_1, ..., g_n)
where g_i denotes the minimal distance between the point
x_i and the other points of the design.
Note that for a regular mesh, meshRatio=1.
A real number equal to the value of the meshRatio criterion for the design.
J. Franco
Gunzburer M. and Burkdart J. (2004), Uniformity measures for point samples in hypercubes, https://people.sc.fsu.edu/~jburkardt/.
Discrepancy measures provided by discrepancyCriteria.
dimension <- 2 n <- 40 X <- matrix(runif(n*dimension), n, dimension) meshRatio(X)
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