Hi folks,
I signal you this new publication:

Piras P, Profico A, Pandolfi L, Raia P, Di Vincenzo F, Mondanaro A,
Castiglione S and Varano V (2020). Current Options for Visualization of
Local Deformation in Modern Shape Analysis Applied to Paleobiological Case
Studies. Front. Earth Sci. 8:66. doi: 10.3389/feart.2020.00066

There we present basic theory behind visualization of local deformation in
both 2D and 3D borrowed, basically, from continuum mechanics as well as
examples in paleontology.
We also discuss some aspect of deformation' interpretation in 3D cases when
shapes are represented by triangular meshes having a shell-like structure.
The use of first and second order gradient tensors, directly calculated or
obtained from the computation of TPS' first and second partial derivatives,
allows to replicate all anlayes presented in the paper by means of R
functions available in Supplementary Information that allows to replicate
all illustrated examples.
Any script is intended to work "stand alone" and all landmarks necessary
for analyses are defined within the scripts so that no workspace loading is
necessary.
The ad hoc built functions will be present in a future package that is
under development. Some basic functions (not related to the core math) are
wrappers or hacking of functions present in existing packages; others,
mainly regarding speed optimization, are inspired by some Stackoverflow
comments. Also, function names are not of course in a "CRAN style" and may
change in future. If some warnings appear they can be quietly ignored.
The scripts serve to reproduce the figures present in the paper; however,
the functions can have numerous options not all of which are shown in the
paper' examples. For any question about functions' options or alternative
usages contact me (Paolo Piras: [email protected]; [email protected])
in order to have required explanations.

All the best
Polo

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