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Singularités des surfaces paramétrées : courbures et isolignes uv serrées

Martin Boccon 1
1 Gamma3 - Automatic mesh generation and advanced methods
Inria Paris-Rocquencourt, ICD - Institut Charles Delaunay
Abstract : Considering a CAD surface (resulting from a Computer-Aided Design system) defined by a planar domain parametrization, the first objective is to evaluate numerically the principal curvatures and directions at a given point of these surface and more particularly at the neighborhood of singular points (where partial derivatives are null or collinear). Secondly, the phenomenon of tight \textit{uv} isolines will be presented, which has for principal effect to transform a regular geometrical pattern in the parameters domain into a degenerated element in the Euclidian space, which is harmful for surface mesh generation.
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https://hal.inria.fr/hal-00732927
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Submitted on : Monday, September 17, 2012 - 2:03:15 PM
Last modification on : Friday, August 27, 2021 - 3:14:07 PM
Long-term archiving on: : Friday, December 16, 2016 - 1:45:06 PM

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Martin Boccon. Singularités des surfaces paramétrées : courbures et isolignes uv serrées. [Rapport de recherche] RR-8069, INRIA. 2012, pp.57. ⟨hal-00732927⟩

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