Representation of multiresolution meshes : an application to subdivision volumes
type: Dataset
description: Volume meshes are widespread in computer graphics, scientific visualization and numerical computation. Subdivision, simplification or remeshing operations are sometimes used to speed up processing of these meshes. A solution to manage the complexity of the object and numerical processing applied to it consist in presenting this object at different scales. Nevertheless, existing models are designed for specific approaches making them limited to applications for which they were designed. Our research work present a new model for the representation of multiresolution meshes in any dimension based on the combinatorial maps model. We first applied our model to the multiresolution subdivision volumes. In this framework, we present several refinement algorithms of an initial coarse mesh. These algorithms support hierarchies obtained by regular and adaptive subdivision. Finally, we propose two representations, opposed in term of time and space complexity, of this model.
issued: 2026-05-06T06:35:51.491748
language: fr
modified: 2026-05-06T06:35:51.491753
contact point: Organization
  fn: CCSD
keyword: cartes-combinatoires
keyword: combinatorial-maps
keyword: geometric-modeling
keyword: infoeu-reposemanticsdoctoralthesis
keyword: infoinfo-dscomputer-science-csdata-structures-and-algorithms-csds
keyword: infoinfo-grcomputer-science-csgraphics-csgr
keyword: modeles-topologiques
keyword: modelisation-geometrique
keyword: multiresolution-representations
keyword: representations-multiresolution
keyword: subdivision-volumes
keyword: theses
keyword: topological-models
keyword: volumes-de-subdivision
landing page: https://theses.hal.science/tel-00951049

Representation of multiresolution meshes : an application to subdivision volumes
type: Distribution
format: HTML
issued: 2026-05-06T06:35:51.520658
modified: 2026-05-06T06:35:51.477201
access URL: https://theses.hal.science/tel-00951049

test_moissonnage_selune
type: Agent