Record link: 
http://hdl.handle.net/20.500.12708/28880
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Title: 
Why use Sobolev metrics on the space of curves
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Citation: 
Bauer, M., Bruveris, M., & Michor, P. W. (2015). Why use Sobolev metrics on the space of curves. In P. Turaga & A. Srivastava (Eds.), Riemannian Computing in Computer Vision (pp. 233–255). Springer Verlag. https://doi.org/10.1007/978-3-319-22957-7_11
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Publisher DOI: 
10.1007/978-3-319-22957-7_11
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Publication Type: 
Book Contribution - Edited Volume Contribution
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Authors: 
Bauer, Martin 
Bruveris, Martins 
Michor, Peter W. 
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Organisational Unit: 
E104-04 - Forschungsbereich Angewandte Geometrie 
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Published in: 
Riemannian Computing in Computer Vision 
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ISBN: 
978-3-319-22957-7
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DOI of the book: 
10.1007/978-3-319-22957-7
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Date (published): 
2015
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Number of Pages: 
23
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Publisher: 
Springer Cham
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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.
en
Science Branch: 
Mathematik
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Appears in Collections:
Book Contribution

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