Dual Domain Extrapolation

Bruno Lévy 1
1 ISA - Models, algorithms and geometry for computer graphics and vision
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Shape optimization and surface fairing for polygon meshes have been active research areas for the last few years. Existing approaches either require the border of the surface to be fixed, or are only applicable to closed surfaces. In this paper, we propose a new approach, that computes natural boundaries. This makes it possible not only to smooth an existing geometry, but also to extrapolate its shape beyond the existing border. Our approach is based on a global parameterization of the surface and on a minimization of the squared curvatures, discretized on the edges of the surface. The so-constructed surface is an approximation of a minimal energy surface (MES). Using a global parameterization makes it possible to completely decouple the outer fairness (surface smoothness) from the inner fairness (mesh quality). In addition, the parameter space provides the user with a new means of controlling the shape of the surface. When used as a geometry filter, our approach computes a smoothed mesh that is discrete conformal to the original one. This allows smoothing textured meshes without introducing distortions.
Type de document :
Article dans une revue
ACM Transactions on Graphics, Association for Computing Machinery, 2003, 22 (3), pp.364-369
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Soumis le : mardi 26 septembre 2006 - 09:39:33
Dernière modification le : jeudi 11 janvier 2018 - 06:19:48


  • HAL Id : inria-00099625, version 1



Bruno Lévy. Dual Domain Extrapolation. ACM Transactions on Graphics, Association for Computing Machinery, 2003, 22 (3), pp.364-369. 〈inria-00099625〉



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