Shape analysis on homogeneous spaces: a generalised SRVT framework
Chapter
Accepted version
Permanent lenke
http://hdl.handle.net/11250/2581713Utgivelsesdato
2017Metadata
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- Institutt for matematiske fag [2351]
- Publikasjoner fra CRIStin - NTNU [37219]
Originalversjon
10.1007/978-3-030-01593-0_7Sammendrag
Shape analysis is ubiquitous in problems of pattern and object recognition and has developed considerably in the last decade. The use of shapes is natural in applications where one wants to compare curves independently of their parametrisation. One computationally efficient approach to shape analysis is based on the Square Root Velocity Transform (SRVT). In this paper we propose a generalised SRVT framework for shapes on homogeneous manifolds. The method opens up for a variety of possibilities based on different choices of Lie group action and giving rise to different Riemannian metrics.