inria-00547790, version 1
Isotropic Remeshing with Fast and Exact Computation of Restricted Voronoi Diagram
Computer Graphics Forum 28, 5 (2009) 1445-1454
Résumé : We propose a new isotropic remeshing method, based on Centroidal Voronoi Tessellation (CVT). Constructing CVT requires to repeatedly compute Restricted Voronoi Diagram (RVD), defined as the intersection between a 3D Voronoi diagram and an input mesh surface. Existing methods use some approximations of RVD. In this paper, we introduce an efficient algorithm that computes RVD exactly and robustly. As a consequence, we achieve better remeshing quality than approximation-based approaches, without sacrificing efficiency. Our method for RVD computation uses a simple procedure and a kd-tree to quickly identify and compute the intersection of each triangle face with its incident Voronoi cells. Its time complexity is O(mlogn), where n is the number of seed points and m is the number of triangles of the input mesh. Fast convergence of CVT is achieved using a quasi-Newton method, which proved much faster than Lloyd's iteration. Examples are presented to demonstrate the better quality of remeshing results with our method than with the state-of-art approaches.
- a – University of Hong Kong / Hong Kong
- b – INRIA
- 1 :
- INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
- 2 :
- City University of Hong Kong
- Domaine : Informatique/Synthèse d'image et réalité virtuelle
- inria-00547790, version 1
- http://hal.inria.fr/inria-00547790
- oai:hal.inria.fr:inria-00547790
- Contributeur :
- Soumis le : Vendredi 17 Décembre 2010, 15:10:47
- Dernière modification le : Lundi 20 Décembre 2010, 09:35:28


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