Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis

Hidekata Hontani, Mi Ho Giga, Yoshikazu Giga, Koichiro Deguchi

研究成果: Article査読

7 被引用数 (Scopus)

抄録

A numerical method for obtaining a crystalline flow starting from a general polygon is presented. A crystalline flow is a polygonal flow and can be regarded as a discrete version of a classical curvature flow. In some cases, new facets may be created instantaneously and their facet lengths are governed by a system of singular ordinary differential equations (ODEs). The proposed method solves the system of the ODEs numerically by using expanding selfsimilar solutions for newly created facets. The computation method is applied to a multi-scale analysis of a contour figure.

本文言語English
ページ(範囲)265-285
ページ数21
ジャーナルDiscrete Applied Mathematics
147
2-3
DOI
出版ステータスPublished - 2005 4 15

ASJC Scopus subject areas

  • 離散数学と組合せ数学
  • 応用数学

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