Threshold dynamics for anisotropic surface energies

@article{Elsey2017ThresholdDF,
  title={Threshold dynamics for anisotropic surface energies},
  author={Matt Elsey and Selim Esedolu},
  journal={Math. Comput.},
  year={2017},
  volume={87},
  pages={1721-1756}
}
We study extensions of Merriman, Bence, and Osher’s threshold dynamics scheme to weighted mean curvature flow, which arises as gradient descent for anisotropic (normal dependent) surface energies. In particular, we investigate, in both two and three dimensions, those anisotropies for which the convolution kernel in the scheme can be chosen to be positive and / or to possess a positive Fourier transform. We provide a complete, geometric characterization of such anisotropies. This has… CONTINUE READING

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