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Title: Why Use Sobolev Metrics on the Space of Curves
Authors: Bauer, M
Bruveris, M
Michor, PW
Keywords: math.DG;math.DG;math.NA;58-02, 58B20, 58D15, 35Q31, 65A99;Differential Geometry;Numerical Analysis
Issue Date: 2015
Publisher: ArXiv
Citation: arXiv:1502.03229, 2015
Abstract: We study reparametrization invariant Sobolev metrics on spaces of regular curves. We discuss their completeness properties and the resulting usability for applications in shape analysis. In particular, we will argue, that the development of efficient numerical methods for higher order Sobolev type metrics is an extremely desirable goal.
Appears in Collections:Dept of Mathematics Research Papers

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