Hierarchical decomposition of datasets on irregular surface meshes - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year :

Hierarchical decomposition of datasets on irregular surface meshes

Abstract

In this paper we introduce multiresolution analysis (MRA) algorithms intended to be used in scientific visualization, and based on a non-nested set of approximating spaces. The need for non nested spaces arises from the fact that the required scaling functions do not fulfill any refinement equation. Therefore we introduce in the first part the concept of approximated refinement equation, that allows to generalize the filter bank and exact reconstruction algorithms. The second part shows how this concept enables to define a MRA scheme for piecewise constant data defined on an arbitrary planar or spherical triangular mesh. The ability to deal with arbitrary triangular meshes, without subdivision connectivity, can be achieved only through the use of non nested approximating spaces, as introduced in the first part.
Fichier principal
Vignette du fichier
bonneau_cgi98.pdf (2.46 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01708571 , version 1 (13-02-2018)

Identifiers

Cite

Georges-Pierre Bonneau, Alexandre Gerussi. Hierarchical decomposition of datasets on irregular surface meshes. Computer Graphics International, Jun 1998, Hannover, Germany. ⟨10.1109/CGI.1998.694250⟩. ⟨hal-01708571⟩
51 View
78 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More