ssriemdist function

Riemannian size-and-shape distance

Calculates the Riemannian size-and-shape distance d_S between two configurations

ssriemdist(x, y, reflect=FALSE)

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)
• reflect: Logical. If reflect = TRUE then reflection invariance is included.

Returns

The Riemannian size-and-shape distance d_S between the two configurations. (for the Riemannian shape distance use riemdist)

References

Le, H.-L. (1995). Mean size-and-shapes and mean shapes: a geometric point of view. Advances in Applied Probability, 27:44-55.

See Also

procOPA,procGPA,riemdist

Examples

data(gorf.dat)
data(gorm.dat)
gorf<-procGPA(gorf.dat,scale=FALSE)
gorm<-procGPA(gorm.dat,scale=FALSE)
ds<-ssriemdist(gorf$mshape,gorm$mshape)
cat("Riemannian size-and-shape distance between mean size-and-shapes is ",ds," \n")

Author(s)

Ian Dryden