Hi folks,
here:
https://www.mdpi.com/2227-7390/10/9/1562/pdf
you can find a new paper about geodesics in the TPS space Riemannian
manifold proposed by our group some years ago.
We define an analitical solution for the affine subspace and we show, via
optimization methods, the efficacy of TPS geodesics to recover challenging
non-affine deformations. These aspects are of particular relevance if one
is interested in transporting deformations or finding deformational
trajectories (i.e.time series and/or ontogenetic) in the TPS space.
Given the hard computational effort we are trying to interface R with
python in order ro perform this on more landmarks and dimensions w.r.t. the
examples presented in this paper.
All the best
Paolo

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