Elastic Full Procrustes Means for Sparse and Irregular Planar Curves
Calculate the center of a curve
Distance to a smooth curve
Evaluate a curve on a grid
Finds optimal alignment for discrete open curves
Calculate the polygon length of a curve
Get Procrustes data curve from mean object.
Helper functions for calculating Procrustes data curve from rotation, ...
Plot method for planar elastic Procrustes mean curves
Compute an elastic full Procrustes mean for a collection of curves
elastes: Elastic Full Procrustes Means for Sparse and Irregular Planar...
Optimal rotation and scaling alignment to a smooth curve
Mean estimation for open planar curves.
Provides functions for the computation of functional elastic shape means over sets of open planar curves. The package is particularly suitable for settings where these curves are only sparsely and irregularly observed. It uses a novel approach for elastic shape mean estimation, where planar curves are treated as complex functions and a full Procrustes mean is estimated from the corresponding smoothed Hermitian covariance surface. This is combined with the methods for elastic mean estimation proposed in Steyer, Stöcker, Greven (2022) <doi:10.1111/biom.13706>. See Stöcker et. al. (2022) <arXiv:2203.10522> for details.
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