Volume Preservation of Multiresolution Meshes

Geometric constraints have proved to be efficient for enhancing the realism of shape animation. The present paper addresses the computation and the preservation of the volume enclosed by multiresolution meshes. A wavelet based representation allows the mesh to be handled at any level of resolution....

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Computer graphics forum Ročník 26; číslo 3; s. 275 - 283
Hlavní autoři: Sauvage, Basile, Hahmann, Stefanie, Bonneau, Georges-Pierre
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford, UK Blackwell Publishing Ltd 01.09.2007
Wiley
Témata:
and object representations
Animation
Computational Geometry
Computer graphics
Computer Science
constrained deformation
Graphics
I.3.5 [Computer Graphics]: Curve
I.3.5 [Computer Graphics]: Curve, surface, solid, and object representations
I.3.6 [Computer Graphics]: Graphics data structures and data types
I.3.7 [Computer Graphics]: Animation
lifting scheme
multiresolution meshes
solid
Studies
surface
volume computation
wavelets
multiresolution meshes
volume constraint
wavelets
deformation
lifting scheme
Loop subdivision
Geometric Modeling
ISSN:0167-7055, 1467-8659
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:Geometric constraints have proved to be efficient for enhancing the realism of shape animation. The present paper addresses the computation and the preservation of the volume enclosed by multiresolution meshes. A wavelet based representation allows the mesh to be handled at any level of resolution. The key contribution is the calculation of the volume as a trilinear form with respect to the multiresolution coefficients. Efficiency is reached thanks to the pre‐processing of a sparse 3D data structure involving the transposition of the filters while represented as a lifting scheme. A versatile and interactive method for preserving the volume during a deformation process is then proposed. It is based on a quadratic minimization subject to a linearization of the volume constraint. A closed form of the solution is derived.
Bibliografie:ark:/67375/WNG-974L4SLN-T
ArticleID:CGF1049
istex:4121A72EB16F011CC0DD32BBA02181FCBD2B2C4C
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2007.01049.x