SqrtMean {fdasrvf}

SRVF transform of warping functions

Description

This function calculates the srvf of warping functions with corresponding shooting vectors and finds the mean

Usage

SqrtMean(gam)

Arguments

gam

matrix (N x M) of M warping functions with N samples

Value

Returns a list containing

mu

Karcher mean psi function

gam_mu

Karcher mean warping function

psi

srvf of warping functions

vec

shooting vectors

References

Srivastava, A., Wu, W., Kurtek, S., Klassen, E., Marron, J. S., May 2011. Registration of functional data using fisher-rao metric, arXiv:1103.3817v2.

Tucker, J. D., Wu, W., Srivastava, A., Generative Models for Function Data using Phase and Amplitude Separation, Computational Statistics and Data Analysis (2012), 10.1016/j.csda.2012.12.001.

Examples

out <- SqrtMean(simu_warp$warping_functions)