Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement

Abstract : The typical goal of surface remeshing consists in finding a mesh that is (1) geometrically faithful to the original geometry, (2) as coarse as possible to obtain a low-complexity representation and (3) free of bad elements that would hamper the desired application. In this paper, we design an algorithm to address all three optimization goals simultaneously. The user specifies desired bounds on approximation error , minimal interior angle and maximum mesh complexity N (number of vertices). Since such a desired mesh might not even exist, our optimization framework treats only the approximation error bound as a hard constraint and the other two criteria as optimization goals. More specifically, we iteratively perform carefully prioritized local operators, whenever they do not violate the approximation error bound and improve the mesh otherwise. Our optimization framework greedily searches for the coarsest mesh with minimal interior angle above and approximation error bounded by . Fast runtime is enabled by a local approximation error estimation, while implicit feature preservation is obtained by specifically designed vertex relocation operators. Experiments show that our approach delivers high-quality meshes with implicitly preserved features and better balances between geometric fidelity, mesh complexity and element quality than the state-of-the-art.
Type de document :
Article dans une revue
IEEE Transactions on Visualization and Computer Graphics, Institute of Electrical and Electronics Engineers, 2017, 〈Presented at the EUROGRAPHICS Symposium on Geometry Processing〉. 〈10.1109/TVCG.2016.2632720〉
Liste complète des métadonnées

Littérature citée [45 références]  Voir  Masquer  Télécharger


https://hal.inria.fr/hal-01549584
Contributeur : Pierre Alliez <>
Soumis le : mardi 19 septembre 2017 - 13:27:12
Dernière modification le : jeudi 8 février 2018 - 16:20:02

Fichiers

preprint.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Kaimo Hu, Dong-Ming Yan, David Bommes, Pierre Alliez, Bedrich Benes. Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement. IEEE Transactions on Visualization and Computer Graphics, Institute of Electrical and Electronics Engineers, 2017, 〈Presented at the EUROGRAPHICS Symposium on Geometry Processing〉. 〈10.1109/TVCG.2016.2632720〉. 〈hal-01549584〉

Partager

Métriques

Consultations de la notice

245

Téléchargements de fichiers

161