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Corpus ID: 119316270

Numerical analysis comparing ODE approach and level set method for evolving spirals by crystalline eikonal-curvature flow.

@article{Ishiwata2019NumericalAC,
title={Numerical analysis comparing ODE approach and level set method for evolving spirals by crystalline eikonal-curvature flow.},
author={T. Ishiwata and T. Ohtsuka},
journal={arXiv: Numerical Analysis},
year={2019}
}

In this paper, the evolution of a polygonal spiral curve by the crystalline curvature flow with a pinned center is considered with two view points, discrete model consist of an ODE system of facet lengths and a level set method. We investigate the difference of these models numerically by calculating the area of the region enclosed by these spiral curves. The area difference is calculated by the normalized L1 norm of the difference of step-like functions which are branches of arg(x) whose… CONTINUE READING