Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

Tetsuya Ishiwata

doi:10.1007/BF03167521

Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

Tetsuya Ishiwata

研究成果: Article › 査読

15 被引用数 (Scopus)

抄録

The behavior of solution polygons to generalized crystalline curvature flow is discussed. The conditions to guarantee that the solution polygon keeps its admissibility as long as enclosed area of solution polygon is positive are clarified. We also show that the solution polygon becomes "almost convex" before the extinction time.

本文言語	English
ページ（範囲）	233-253
ページ数	21
ジャーナル	Japan Journal of Industrial and Applied Mathematics
巻	25
号	2
DOI	https://doi.org/10.1007/BF03167521
出版ステータス	Published - 2008 6月
外部発表	はい

ASJC Scopus subject areas

工学一般
応用数学

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10.1007/BF03167521

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引用スタイル

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abstract = "The behavior of solution polygons to generalized crystalline curvature flow is discussed. The conditions to guarantee that the solution polygon keeps its admissibility as long as enclosed area of solution polygon is positive are clarified. We also show that the solution polygon becomes {"}almost convex{"} before the extinction time.",

keywords = "Convexity phenomena, Edge-disappearing, Motion by crystalline curvature, Non-convex polygon",

author = "Tetsuya Ishiwata",

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N2 - The behavior of solution polygons to generalized crystalline curvature flow is discussed. The conditions to guarantee that the solution polygon keeps its admissibility as long as enclosed area of solution polygon is positive are clarified. We also show that the solution polygon becomes "almost convex" before the extinction time.

AB - The behavior of solution polygons to generalized crystalline curvature flow is discussed. The conditions to guarantee that the solution polygon keeps its admissibility as long as enclosed area of solution polygon is positive are clarified. We also show that the solution polygon becomes "almost convex" before the extinction time.

KW - Convexity phenomena

KW - Edge-disappearing

KW - Motion by crystalline curvature

KW - Non-convex polygon

UR - https://www.scopus.com/pages/publications/48249088009

UR - https://www.scopus.com/pages/publications/48249088009#tab=citedBy

U2 - 10.1007/BF03167521

DO - 10.1007/BF03167521

M3 - Article

AN - SCOPUS:48249088009

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VL - 25

SP - 233

EP - 253

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

IS - 2

ER -

Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

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ASJC Scopus subject areas

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