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Article
Algorithms for Area Preserving Flows
SIAM Journal on Scientific Computing
  • Catherine Kublik, University of Dayton
  • Selim Esedoglu, University of Michigan - Ann Arbor
  • Jeffrey A. Fessler, University of Michigan - Ann Arbor
Document Type
Article
Publication Date
1-1-2011
Abstract
We propose efficient and accurate algorithms for computing certain area preserving geometric motions of curves in the plane, such as area preserving motion by curvature. These schemes are based on a new class of diffusion generated motion algorithms using signed distance functions. In particular, they alternate two very simple and fast operations, namely convolution with the Gaussian kernel and construction of the distance function, to generate the desired geometric flow in an unconditionally stable manner. We present applications of these area preserving flows to large scale simulations of coarsening.
Inclusive pages
2382-2401
ISBN/ISSN
1064-8275
Document Version
Published Version
Comments

The article is made available for download in compliance with the publisher's self-archiving policies.

This research was supported by NSF grants DMS-0748333 and DMS-0713767.

Permission documentation is on file.

Publisher
Society for Industrial and Applied Mathematics
Peer Reviewed
Yes
Keywords
  • diffusion generated motion,
  • level set,
  • area preserving mean curvature motion,
  • coarsening
Citation Information
Catherine Kublik, Selim Esedoglu and Jeffrey A. Fessler. "Algorithms for Area Preserving Flows" SIAM Journal on Scientific Computing Vol. 33 Iss. 5 (2011)
Available at: http://works.bepress.com/catherine_kublik/3/