Discrete quadratic curvature energies

Miklos Bergou, Max Wardetzky, David Harmon, Denis Zorin, Eitan Grinspun

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

Abstract

Efficient computation of curvature-based energies is important for practical implementations of geometric modeling and physical simulation applications. Building on a simple geometric observation, we provide a version of a curvature-based energy expressed in terms of the Laplace operator acting on the embedding of the surface. The corresponding energy-being quadratic in positions-gives rise to a constant Hessian in the context of isometric deformations. The resulting isometric bending model is shown to significantly speed up common cloth solvers, and when applied to geometric modeling situations built on Willmore flow to provide runtimes which are close to interactive rates.

Original languageEnglish (US)
Title of host publicationSIGGRAPH 2006 - ACM SIGGRAPH 2006 Courses
PublisherAssociation for Computing Machinery, Inc
Pages20-29
Number of pages10
ISBN (Electronic)1595933646, 9781595933645
DOIs
StatePublished - Jul 30 2006
Event2006 ACM SIGGRAPH Courses, SIGGRAPH 2006 - Boston, United States
Duration: Jul 30 2006Aug 3 2006

Publication series

NameSIGGRAPH 2006 - ACM SIGGRAPH 2006 Courses

Other

Other2006 ACM SIGGRAPH Courses, SIGGRAPH 2006
CountryUnited States
CityBoston
Period7/30/068/3/06

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software
  • Human-Computer Interaction

Cite this

Bergou, M., Wardetzky, M., Harmon, D., Zorin, D., & Grinspun, E. (2006). Discrete quadratic curvature energies. In SIGGRAPH 2006 - ACM SIGGRAPH 2006 Courses (pp. 20-29). (SIGGRAPH 2006 - ACM SIGGRAPH 2006 Courses). Association for Computing Machinery, Inc. https://doi.org/10.1145/1185657.1185663