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

Hontani, Hidetaka; Giga, Miho; Giga, Yoshikazu et al.

Hokkaido University Preprint Series in Mathematics, 2003, 626, 2-21

Permalink : https://doi.org/10.14943/83780

このアイテムのアクセス数:783件（2026-08-15 03:38 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re626	pdf	354 KB	577

アクセス権	open access
DOI	https://doi.org/10.14943/83780
URI	https://hdl.handle.net/2115/69434
タイトル	Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis
著者	Hontani, Hidetaka ; Giga, Miho ; Giga, Yoshikazu ; Deguchi, Koichiro
著者名 Hontani, Hidetaka
著者名 Giga, Miho
著者名 Giga, Yoshikazu
著者名 Deguchi, Koichiro
言語	英語
キーワード	crystalline flow
	selfsimilar solutions
	evolving polygon
	multi-scale analysis
発行日	2003
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	626
ページ	2-21
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.
資源タイプ	紀要論文
出版タイプ	Version of Record