Shape analysis on Lie groups and homogeneous spaces

Elena Celledoni; Sølve Eidnes; Markus Eslitzbichler; Alexander Schmeding

doi:10.1007/978-3-319-68445-1_6

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arXiv · 1710.00539

Shape analysis on Lie groups and homogeneous spaces

Elena Celledoni·Sølve Eidnes·Markus Eslitzbichler·Alexander Schmeding

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Abstract

In this paper we are concerned with the approach to shape analysis based on the so called Square Root Velocity Transform (SRVT). We propose a generalisation of the SRVT from Euclidean spaces to shape spaces of curves on Lie groups and on homogeneous manifolds. The main idea behind our approach is to exploit the geometry of the natural Lie group actions on these spaces.

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Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding. 2017-10-02. Shape analysis on Lie groups and homogeneous spaces. https://doi.org/10.1007/978-3-319-68445-1_6

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