Anisotropic and feature sensitive triangular remeshing using normal lifting

Vincent Nivoliers 1, 2 Bruno Lévy 3 Christophe Geuzaine 2
1 R3AM - Rendu Réaliste pour la Réalité Augmentée Mobile
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
3 ALICE - Geometry and Lighting
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
Abstract : This work describes an automatic method to anisotropically remesh an input bad quality mesh while preserving sharp features. We extend the method of Lévy and Bonneel [17], based on the lifting of the input mesh in a 6D space (position and normal), and the optimization of a restricted Voronoï diagram in that space. The main advantage of this method is that it does not require any parameterization of the input geometry: the remeshing is performed globally, and triangles can overlap several input charts. We improve this work by modifying the objective function minimized in the optimization process, in order to take into account sharp features. This new formulation is a generalization of the work of Lévy and Liu [18], which does not require any explicit tagging of the sharp features. We provide efficient formulas to compute the gradient of our objective function, thus allowing us to use a quasi-Newton solver [19] to perform the minimization.
Type de document :
Article dans une revue
Journal of Computational and Applied Mathematics, Elsevier, 2015, <10.1016/j.cam.2015.01.041>
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-01202738
Contributeur : Vincent Nivoliers <>
Soumis le : lundi 21 septembre 2015 - 16:17:31
Dernière modification le : jeudi 22 septembre 2016 - 14:31:19
Document(s) archivé(s) le : mardi 29 décembre 2015 - 09:03:14

Fichier

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

Licence


Copyright (Tous droits réservés)

Identifiants

Citation

Vincent Nivoliers, Bruno Lévy, Christophe Geuzaine. Anisotropic and feature sensitive triangular remeshing using normal lifting. Journal of Computational and Applied Mathematics, Elsevier, 2015, <10.1016/j.cam.2015.01.041>. <hal-01202738>

Partager

Métriques

Consultations de
la notice

485

Téléchargements du document

219