Hierarchical Deformation of Locally Rigid Meshes

We propose a method for calculating deformations of models by deforming a low‐resolution mesh and adding details while ensuring that the details we add satisfy a set of constraints. Our method builds a low‐resolution representation of a mesh by using edge collapses and performs an as‐rigid‐as‐possib...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Computer graphics forum Jg. 30; H. 8; S. 2387 - 2396
Hauptverfasser: Manson, Josiah, Schaefer, Scott
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford, UK Blackwell Publishing Ltd 01.12.2011
Schlagworte:
Analysis
as-rigid-as-possible
Computer graphics
Construction
Deformation
Finite element method
I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Boundary representations
I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Hierarchy and Geometric Transformations
Image processing systems
Mathematical models
mesh deformation
multi-scale
Representations
Reversing
Studies
Triangulation
ISSN:0167-7055, 1467-8659
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We propose a method for calculating deformations of models by deforming a low‐resolution mesh and adding details while ensuring that the details we add satisfy a set of constraints. Our method builds a low‐resolution representation of a mesh by using edge collapses and performs an as‐rigid‐as‐possible deformation on the simplified mesh. We then add back details by reversing edge‐collapses so that the shape of the mesh is locally preserved. While adding details, we deform the mesh to match the predicted positions of constraints so that constraints on the full‐resolution mesh are met. Our method operates on meshes with arbitrary triangulations, satisfies constraints over the full‐resolution mesh and converges quickly.
Bibliographie:ArticleID:CGF2074
istex:E29E6FDA528A504E07CA9299E355934D7F884C54
ark:/67375/WNG-RJJ571DB-G
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2011.02074.x