Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/13393
Title: Optimal reparametrizations in the square root velocity framework
Authors: Bruveris, M
Issue Date: 2015
Publisher: Arxiv
Citation: Mathematics > Classical Analysis and ODEs, (2015)
Abstract: The square root velocity framework is a method in shape analysis to define a distance between curves and functional data. Identifying two curves, if the differ by a reparametrization leads to the quotient space of unparametrized curves. In this paper we study analytical and topological aspects of this construction for the class of absolutely continuous curves. We show that the square root velocity transform is a homeomorphism and that the action of the reparametrization semigroup is continuous. We also show that given two $C^1$-curves, there exist optimal reparametrizations realising the minimal distance between the unparametrized curves represented by them.
URI: http://bura.brunel.ac.uk/handle/2438/13393
ISSN: http://arxiv.org/abs/1507.02728v1
Appears in Collections:Dept of Mathematics Research Papers

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