A minimizing movement approach for crystalline eikonal-curvature flows of spirals
<|reference_start|>A minimizing movement approach for crystalline eikonal-curvature flows of spirals: 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.<|reference_end|>
@article{ohtsuka2024a,
    title={A minimizing movement approach for crystalline eikonal-curvature flows
  of spirals},
    author={Takeshi Ohtsuka, and Yen-Hsi Richard Tsai},
    journal={arXiv preprint arXiv:2409.16421},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.16421},
    primaryClass={math.NA cs.NA}
}