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This œuvre, The abstract setting for shape deformation analysis and LDDMM methods, by Sylvain Arguillère is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

The abstract setting for shape deformation analysis and LDDMM methods


The abstract setting for shape deformation analysis and LDDMM methods
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This paper aims to define a unified setting for shape registration and LDDMM methods for shape analysis. This setting turns out to be sub-Riemannian, and not Riemannian. An abstract definition of a space of shapes in ℝ d is given, and the geodesic flow associated to any reproducing kernel Hilbert space of sufficiently regular vector fields is showed to exist for all time.
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The abstract setting for shape deformation analysis and LDDMM methods
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