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math.DG2021
Parallel Transport on Kendall Shape Spaces
Nicolas Guigui, Elodie Maignant, Alain Trouvé +1
Kendall shape spaces are a widely used framework for the statistical analysis of shape data arising from many domains, often requiring the parallel transport as a tool to normalise…
math.DG2021★ 5 cited
A reduced parallel transport equation on Lie Groups with a left-invariant metric
Nicolas Guigui, Xavier Pennec
This paper presents a derivation of the parallel transport equation expressed in the Lie algebra of a Lie group endowed with a left-invariant metric.The use of this equation is exe…
math.DG2020
Numerical Accuracy of Ladder Schemes for Parallel Transport on Manifolds
Nicolas Guigui, Xavier Pennec
Parallel transport is a fundamental tool to perform statistics on Rie-mannian manifolds. Since closed formulae don't exist in general, practitioners often have to resort to numeric…