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...

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Bibliographic Details
Published in:Computer graphics forum Vol. 30; no. 8; pp. 2387 - 2396
Main Authors: Manson, Josiah, Schaefer, Scott
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.12.2011
Subjects:
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 Access:Get full text
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Summary: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.
Bibliography:ArticleID:CGF2074
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2011.02074.x