ALGORITHMS FOR AREA PRESERVING FLOWS

作者:Kublik Catherine*; Esedoglu Selim; Fessler Jeffrey A
来源:SIAM Journal on Scientific Computing, 2011, 33(5): 2382-2401.
DOI:10.1137/100815542

摘要

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.

  • 出版日期2011