riemdist {shapes}R Documentation

Riemannian shape distance

Description

Calculates the Riemannian shape distance $rho$ between two configurations

Usage

riemdist(x, y)

Arguments

x k x m matrix (or complex k-vector for 2D data) where k = number of landmarks and m = no of dimensions
y k x m matrix (or complex k-vector for 2D data)

Value

The Riemannian shape distance rho between the two configurations. Note 0 <= rho <= pi/2

Author(s)

Ian Dryden

References

Kendall, D. G. (1984). Shape manifolds, Procrustean metrics and complex projective spaces, Bulletin of the London Mathematical Society, 16, 81-121.

See Also

procOPA,procGPA

Examples

data(gorf.dat)
data(gorm.dat)
gorf<-procGPA(gorf.dat)
gorm<-procGPA(gorm.dat)
rho<-riemdist(gorf$mshape,gorm$mshape)
cat("Riemannian distance between mean shapes is ",rho," \n")

[Package shapes version 1.1-1 Index]