R: Hyperplane method

Hyperplane {RandomFields}

R Documentation

Hyperplane method

Description

The Hyperplane method is a simulation method for stationary, isotropic random fields with exponential covariance function. It is based on a tessellation of the space by hyperplanes. Each cell takes a spatially constant value of an i.i.d. random variable. The superposition of several such random fields yields approximatively a Gaussian random field.

Usage

RPhyperplane(phi, superpos, maxlines, mar_distr, mar_param ,additive)

Arguments

phi

object of class RMmodel; specifies the covariance function to be simulated; only exponential covariance functions and scale mixtures of it are allowed.

`superpos`	integer. number of superposed hyperplane tessellations. Default: `300`.
`maxlines`	integer. Maximum number of allowed lines. Default: `1000`.
`mar_distr`	integer. code for the marginal distribution used in the simulation: `0` uniform distribution `1` Frechet distribution with form parameter `mar_param` `2` Bernoulli distribution (Binomial with n=1) with argument `mar_param` This argument should not be changed yet. Default: `0`.
`mar_param`	Argument used for the marginal distribution. The argument should not be changed yet. Default: `NA`.
`additive`	logical. If `TRUE` independent realisations are added, else the maximum is taken. Default: `TRUE`.

Value

RPhyperplane returns an object of class RMmodel

Author(s)

Martin Schlather, schlather@math.uni-mannheim.de

References

Lantuejoul, C. (2002) Geostatistical Simulation: Models and Algorithms. Springer.

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again
model <- RPhyperplane(RMexp(s=2), superpos=1)
x <- seq(0, 3, if (interactive()) 0.04 else 1)
z <- RFsimulate(x=x, x, model=model, n=1)
plot(z)

[Package RandomFields version 3.0.62 Index]