The abstract setting for shape deformation analysis and LDDMM methods - Sylvain Arguillere
Author(s): Sylvain Arguillere
DOI URL: http://dx.doi.org/10.1007/978-3-319-25040-3_18
Slides: Arguillere_General setting shape deformation.pdf
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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.