Geodesic distance evolution of surfaces: a new method for matching surfaces

Abstract : The general problem of surface matching is taken up in this study. The process described in this work hinges on a geodesic distance equation for a family of surfaces embedded in the graph of a cost function. The cost function represents the geometrical matching criterion between the two 3D surfaces. This graph is a hypersurface in 4-dimensional space, and the theory presented herein is a generalization of the geodesic curve evolution method introduced by R. Kimmel et al [12]. It also generalizes a 2D matching process developed in [4]. An Eulerian level-set formulation of the geodesic surface evolution is also used, leading to a numerical scheme for solving partial differential equations originating from hyperbolic conservation laws [17], which has proven to be very robust and stable. The method is applied on examples showing both small and large deformations, and arbitrary topological changes.
Type de document :
Communication dans un congrès
IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR, Jun 2000, Hilton Head Island, South Carolina, United States. IEEE Computer Society, 1, pp.663-668, 2000, 〈10.1109/CVPR.2000.855883〉
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https://hal.inria.fr/inria-00423781
Contributeur : H. Yahia <>
Soumis le : lundi 12 octobre 2009 - 17:35:27
Dernière modification le : mercredi 3 janvier 2018 - 14:18:08

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Hussein Yahia, Etienne Huot, Isabelle Herlin, Isaac Cohen. Geodesic distance evolution of surfaces: a new method for matching surfaces. IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR, Jun 2000, Hilton Head Island, South Carolina, United States. IEEE Computer Society, 1, pp.663-668, 2000, 〈10.1109/CVPR.2000.855883〉. 〈inria-00423781〉

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