curve_geodesic {fdasrvf}

Form geodesic between two curves

Description

Form geodesic between two curves using Elastic Method

Usage

curve_geodesic(beta1, beta2, k = 5)

Arguments

beta1

curve 1, provided as a matrix of dimensions n \times T for n-dimensional curve evaluated on T sample points

beta2

curve 2, provided as a matrix of dimensions n \times T for n-dimensional curve evaluated on T sample points

k

number of curves along geodesic (default 5)

Value

a list containing

geod

curves along geodesic (n,T,k)

geod_q

srvf's along geodesic

References

Srivastava, A., Klassen, E., Joshi, S., Jermyn, I., (2011). Shape analysis of elastic curves in euclidean spaces. Pattern Analysis and Machine Intelligence, IEEE Transactions on 33 (7), 1415-1428.

Examples

out <- curve_geodesic(beta[, , 1, 1], beta[, , 1, 5])