Shape analysis on Lie groups and homogeneous spaces
arXiv:1710.00539 · doi:10.1007/978-3-319-68445-1_6
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.
arXiv comment8 pages, Contribution to the conference "Geometric Science of Information '17"
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