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Shape analysis via ...
Shape analysis via gradient flows on diffeomorphism groups
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- Balehowsky, Tracey (författare)
- University of Calgary
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- Karlsson, Carl-Joar, 1995 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology,Göteborgs universitet,University of Gothenburg
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- Modin, Klas, 1979 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology,Göteborgs universitet,University of Gothenburg
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(creator_code:org_t)
- 2022-12-19
- 2023
- Engelska.
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Ingår i: Nonlinearity. - : IOP Publishing. - 1361-6544 .- 0951-7715. ; 36:2, s. 862-877
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Abstract
Ämnesord
Stäng
- We study a Riemannian gradient flow on Sobolev diffeomorphisms for the problem of image registration. The energy functional quantifies the effect of transforming a template to a target, while also penalizing non-isometric deformations. The main result is well-posedness of the flow. We also give a geometric description of the gradient in terms of the momentum map.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Sobolev spaces
- Primary 58D05
- diffeomorphisms
- shape analysis
- 68U10
- Secondary 35F25
- gradient flow
- image registration
- partial differential equations
- nonlinear analysis
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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