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math.NA2026
Diffusive method for multiple class data classification
Toyohiko Aiki, Honoka Yano, Takeshi Ohtsuka
A simple algorithm for multiple class data classification is proposed, which is based on the infinit speed of propagation and the strong maximum principle for the heat equation. In…
math.NA2024
A minimizing movements approach for crystalline eikonal-curvature flows of spirals
Takeshi Ohtsuka, Yen-Hsi Richard Tsai
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 moveme…
math.NA2019
Numerical analysis comparing ODE approach and level set method for evolving spirals by crystalline eikonal-curvature flow
Tetsuya Ishiwata, Takeshi Ohtsuka
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…