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Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis
Description
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.
Journal
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 626 2-21, 2003
Department of Mathematics, Hokkaido University
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Details 詳細情報について
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- CRID
- 1390853649725421696
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- NII Article ID
- 120006459340
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- DOI
- 10.14943/83780
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- HANDLE
- 2115/69434
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
- CiNii Articles
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- Abstract License Flag
- Allowed