procrustes: Procrustes Transformation

In MCMCpack: Markov Chain Monte Carlo (MCMC) Package

Procrustes Transformation

Description

This function performs a Procrustes transformation on a matrix X to minimize the squared distance between X and another matrix Xstar.

Usage

procrustes(X, Xstar, translation = FALSE, dilation = FALSE)

Arguments

X	The matrix to be transformed.
Xstar	The target matrix.
translation	logical value indicating whether X should be translated.
dilation	logical value indicating whether X should be dilated.

Details

R, tt, and s are chosen so that:

s X R + 1 tt' \approx X^*

X.new is given by:

X_{new} = s X R + 1 tt'

Value

A list containing: X.new the matrix that is the Procrustes transformed version of X, R the rotation matrix, tt the translation vector, and s the scale factor.

References

Borg and Groenen. 1997. Modern Multidimensional Scaling. New York: Springer. pp. 340-342.

See Also

MCMCirtKd

MCMCpack documentation built on Sept. 11, 2024, 8:13 p.m.