curve_srvf_align: Align Curves

In fdasrvf: Elastic Functional Data Analysis

Align Curves

Description

Aligns a collection of curves using the elastic square-root velocity (srvf) framework.

Usage

curve_srvf_align(
  beta,
  mode = "O",
  rotated = T,
  scale = F,
  lambda = 0,
  maxit = 20,
  ms = "mean"
)

Arguments

beta	array (n,T,N) for N number of curves
mode	Open ("O") or Closed ("C") curves
rotated	Optimize over rotation (default = T)
scale	Include scale (default = F)
lambda	A numeric value specifying the elasticity. Defaults to 0.0.
maxit	maximum number of iterations
ms	string defining whether the Karcher mean ("mean") or Karcher median ("median") is returned (default = "mean")

Value

Returns a list containing

betan	aligned curves
qn	aligned srvfs
betamean	mean curve
q_mu	mean SRVFs

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

data("mpeg7")
out = curve_srvf_align(beta[,,1,1:2],maxit=2) # note: use more shapes, small for speed

fdasrvf documentation built on Nov. 19, 2023, 1:09 a.m.