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

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	233-253
Number of pages	21
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/BF03167521
Publication status	Published - 2008 Jun
Externally published	Yes

Keywords

Convexity phenomena
Edge-disappearing
Motion by crystalline curvature
Non-convex polygon

ASJC Scopus subject areas

Engineering(all)
Applied Mathematics

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10.1007/BF03167521

Cite this

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title = "Motion of non-convex polygons by crystalline curvature and almost convexity phenomena",

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",

year = "2008",

month = jun,

doi = "10.1007/BF03167521",

language = "English",

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journal = "Japan Journal of Industrial and Applied Mathematics",

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AU - Ishiwata, Tetsuya

PY - 2008/6

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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.

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KW - Convexity phenomena

KW - Edge-disappearing

KW - Motion by crystalline curvature

KW - Non-convex polygon

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AN - SCOPUS:48249088009

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JO - Japan Journal of Industrial and Applied Mathematics

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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