Soliton solutions for the elastic metric on spaces of curves
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| Description: |
Michor, P (Universität Wien, Universität Wien)
Thursday 14th December 2017 - 09:00 to 10:00 |
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| Created: | 2017-12-15 15:34 |
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| Collection: | Variational methods and effective algorithms for imaging and vision |
| Publisher: | Isaac Newton Institute |
| Copyright: | Michor, P |
| Language: | eng (English) |
| Abstract: | Joint work with: Martin Bauer (Florida State University), Martins Bruveris (Brunel University London), Philipp Harms (University of Freiburg). Abstract: Some first order Sobolev metrics on spaces of curves admit soliton-like geodesics, i.e., geodesics whose momenta are sums of delta distributions. It turns out that these geodesics can be found within the submanifold of piecewise linear curves, which is totally geodesic for these metrics. Consequently, the geodesic equation reduces to a finite-dimensional ordinary differential equation for a dense set of initial conditions. |
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