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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.
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Submitted on : Monday, October 12, 2009 - 5:35:27 PM
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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. pp.663-668, ⟨10.1109/CVPR.2000.855883⟩. ⟨inria-00423781⟩



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