Cubic shells

Akash Garg, Eitan Grinspun, Max Wardetzky, Denis Zorin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Hinge-based bending models are widely used in the physically-based animation of cloth, thin plates and shells. We propose a hinge-based model that is simpler to implement, more efficient to compute, and offers a greater number of effective material parameters than existing models. Our formulation builds on two mathematical observations: (a) the bending energy of curved flexible surfaces can be expressed as a cubic polynomial if the surface does not stretch; (b) a general class of anisotropic materials-those that are orthotropic-is captured by appropriate choice of a single stiffness per hinge. Our contribution impacts a general range of surface animation applications, from isotropic cloth and thin plates to orthotropic fracturing thin shells.

Original languageEnglish (US)
Title of host publicationSymposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007
PublisherAssociation for Computing Machinery, Inc
Pages91-98
Number of pages8
ISBN (Electronic)9781595936240
StatePublished - Aug 3 2007
Event7th ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA 2007 - San Diego, United States
Duration: Aug 3 2007Aug 4 2007

Other

Other7th ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA 2007
CountryUnited States
CitySan Diego
Period8/3/078/4/07

Fingerprint

Hinges
Animation
Stiffness
Polynomials

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software
  • Computer Vision and Pattern Recognition
  • Human-Computer Interaction

Cite this

Garg, A., Grinspun, E., Wardetzky, M., & Zorin, D. (2007). Cubic shells. In Symposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007 (pp. 91-98). Association for Computing Machinery, Inc.

Cubic shells. / Garg, Akash; Grinspun, Eitan; Wardetzky, Max; Zorin, Denis.

Symposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007. Association for Computing Machinery, Inc, 2007. p. 91-98.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Garg, A, Grinspun, E, Wardetzky, M & Zorin, D 2007, Cubic shells. in Symposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007. Association for Computing Machinery, Inc, pp. 91-98, 7th ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA 2007, San Diego, United States, 8/3/07.
Garg A, Grinspun E, Wardetzky M, Zorin D. Cubic shells. In Symposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007. Association for Computing Machinery, Inc. 2007. p. 91-98
Garg, Akash ; Grinspun, Eitan ; Wardetzky, Max ; Zorin, Denis. / Cubic shells. Symposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007. Association for Computing Machinery, Inc, 2007. pp. 91-98
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