spMC (version 0.3.2)

persp.pemt: Perspective Plots with Multi-directional Transiograms

Description

The function draws perspective-plots the $2$-D sections of a multi-directional transiogram computed without any ellipsoidal interpolation.

Usage

## S3 method for class 'pemt':
persp(x, main, mar, ask = TRUE, col = "white", ...)

Value

An image is produced on the current graphics device. No values are returned.

Rdversion

1.1

Details

A multidimensional transiogram is a diagram which shows the transition probabilities for a single pair of categories. The probability is computed for any lag vector $h$ through $$\mbox{expm} (\Vert h \Vert R_h),$$ where entries of $R_h$ are not ellipsoidally interpolated, but they are estimated for the direction specified by the vector $h$.

The exponential matrix is evaluated by the scaling and squaring algorithm.

References

Carle, S. F., Fogg, G. E. (1997) Modelling Spatial Variability with One and Multidimensional Continuous-Lag Markov Chains. Mathematical Geology, 29(7), 891-918.

Higham, N. J. (2008) Functions of Matrices: Theory and Computation. Society for Industrial and Applied Mathematics.

Sartore, L. (2010) Geostatistical models for 3-D data. M.Phil. thesis, Ca' Foscari University of Venice.

See Also

pemt, persp.multi_tpfit, persp, multi_tpfit, image.pemt, plot.transiogram

Examples

data(ACM)

# Compute a 2-D section of a
# multi-directional transiogram
psEmpTr <- pemt(ACM$MAT3, ACM[, 1:3], 6,
                max.dist = c(200, 200, 20), 
                which.dire = c(1, 3))

# 3D-Plot for a 2-D sections of
# a multi-directional transiogram
persp(psEmpTr, col = rainbow(500), mar = .7,
      theta = 15, phi = 45)