Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics
نویسندگان
چکیده
منابع مشابه
Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics
This paper studies the space of BV 2 planar curves endowed with the BV 2 Finsler metric over its tangent space of displacement vector fields. Such a space is of interest for applications in image processing and computer vision because it enables piecewise regular curves that undergo piecewise regular deformations, such as articulations. The main contribution of this paper is the proof of the ex...
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This paper extends parts of the results from [14] for plane curves to the case of surfaces in Rn. Let M be a compact connected oriented manifold of dimension less than n without boundary. Then shape space is either the manifold of submanifolds of Rn of type M , or the orbifold of immersions from M to Rn modulo the group of diffeomorphisms of M . We investigate the Sobolev Riemannian metrics on ...
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ژورنال
عنوان ژورنال: SIAM Journal on Imaging Sciences
سال: 2016
ISSN: 1936-4954
DOI: 10.1137/15100518x