A spring force formulation for elastically deformable models
Date
1997Source Title
Computers and Graphics
Print ISSN
0097-8493
Electronic ISSN
1873-7684
Publisher
Pergamon Press
Volume
21
Issue
3
Pages
335 - 346
Language
English
Type
ArticleItem Usage Stats
184
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Abstract
Continuous deformable models are generally represented using a grid of control points. The elastic properties are then modeled using the interactions between these points. The formulations based on elasticity theory express these interactions using stiffness matrices. These matrices store the elastic properties of the models and they should be evolved in time according to changing elastic properties of the models. However, forming the stiffness matrices at any step of an animation is very difficult and sometimes the differential equations that should be solved to produce animation become ill-conditioned. Instead of modeling the elasticities using stiffness matrices, the interactions between model points could be expressed in terms of external spring forces. In this paper, a spring force formulation for animating elastically deformable models is presented. In this formulation, elastic properties of the materials are represented as external spring forces as opposed to forming complicated stiffness matrices. © 1997 Elsevier Science Ltd.
Keywords
Computer Aided DesignComputer Graphics
Computer Simulation
Differential Equations
Elasticity
Stiffness Matrix
Spring Force Formulation
Animation