Multiresolution Analysis on Irregular Surface Meshes - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Visualization and Computer Graphics Année : 1998

Multiresolution Analysis on Irregular Surface Meshes

Résumé

Wavelet-based methods have proven their efficiency for the visu-alization at different levels of detail, progressive transmission, and compression of large data sets. The required core of all wavelet-based methods is a hierarchy of meshes that satisfies subdivision-connectivity: this hierarchy has to be the result of a subdivision process starting from a base mesh. Examples include quadtree uniform 2D meshes, octree uniform 3D meshes, or 4-to-1 split triangular meshes. In particular, the necessity of subdivision-connectivity prevents the application of wavelet-based methods on irregular triangular meshes. In this paper a " wavelet-like " decomposition is introduced , that works on piecewise constant data sets over irregular triangular surface meshes. The decomposition/reconstruction algorithms are based on an extension of wavelet-theory allowing hierarchical meshes without subdivision-connectivity property. Among others, this approach has the following features: it allows exact reconstruction of the data set, even for non-regular triangulations, it extents previous results on Haar-wavelets over 4-to-1 split triangulations.
Fichier principal
Vignette du fichier
bonneau_780.pdf (1.67 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01708566 , version 1 (14-02-2018)

Identifiants

Citer

Georges-Pierre Bonneau. Multiresolution Analysis on Irregular Surface Meshes. IEEE Transactions on Visualization and Computer Graphics, 1998, 4 (4), pp.365 - 378. ⟨10.1109/2945.765329⟩. ⟨hal-01708566⟩
47 Consultations
153 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More