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Titlebook: Advances in Multiresolution for Geometric Modelling; Neil A. Dodgson,Michael S. Floater,Malcolm A. Sabi Conference proceedings 2005 Spring

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https://doi.org/10.1007/978-94-011-7557-9et of points scattered over a surface, we first use down-sampling to construct a point set hierarchy. Then starting from the coarsest level, for each level of the hierarchy, we use compactly supported RBFs to approximate the set of points at the level as an offset of the RBF approximation computed a
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Le Probleme de Partition sous Contrainte. We discuss several approaches to effectively reduce the computational effort involved and propose appropriate numerical solvers. We propose a simple but effective transformation of the problem which reduces the computational cost and simplifies the implementation. We also show that fast convergenc
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Le Probleme de Partition sous Contrainte generation of a well shaped surface by the butterfly scheme. The optimisation method is applied to manifold meshes, and conserves the topology of the triangulations. The constructed triangulation is “optimal” in the sense that it locally minimises a cost function. The algorithm for obtaining a loca
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