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 com...
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| creator | Ohtsuka, Takeshi Tsai, Yen-Hsi Richard |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2409.16421 |
| format | Article |
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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
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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
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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.</abstract><doi>10.48550/arxiv.2409.16421</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Numerical Analysis Mathematics - Numerical Analysis |
| title | A minimizing movement approach for crystalline eikonal-curvature flows of spirals |
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