Document Type

Article

Publication Date

2011

Publication Source

SIAM Journal on Scientific Computing

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

Volume

33

Issue

5

Volume

33

Issue

5

Peer Reviewed

yes

Keywords

diffusion generated motion, level set, area preserving mean curvature motion, coarsening

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