A minimizing movements approach for crystalline eikonal-curvature flows of spirals
Numerical Analysis
2025-04-08 v2 Numerical Analysis
Abstract
We propose an algorithm for evolving spiral curves on a planar domain by normal velocities depending on the so-called crystalline curvatures. The algorithm uses a minimizing movement approach and relies on a special level set method for embedding the spirals. We present numerical simulations and comparisons demonstrating the efficacy of the proposed numerical algorithm.
Keywords
Cite
@article{arxiv.2409.16421,
title = {A minimizing movements approach for crystalline eikonal-curvature flows of spirals},
author = {Takeshi Ohtsuka and Yen-Hsi Richard Tsai},
journal= {arXiv preprint arXiv:2409.16421},
year = {2025}
}
Comments
46pages, 17 figures