Crystalline and level set flow - convergence of a crystalline algorithm for a general anisotropic cu
Crystalline and level set flow - convergence of a crystalline algorithm for a general anisotropic cu
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结晶和水平集流 - 一般各向异性 cu 的结晶算法的收敛
DOI：
10.1016/j.dam.2004.09.015
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Y. Giga
中科院分区：
文献类型：
--
作者：
M. Giga;Y. Giga
本文提出了一种从一般多边形出发求解晶体流的数值方法。晶体流是多边形流，可以看作是经典曲率流的离散形式。在某些情况下，新的刻面可以瞬间创建，并且它们的刻面长度由奇异常微分方程（ODE）系统控制。所提出的方法解决了系统的常微分方程数值通过使用新创建的小平面扩展自相似解决方案。该计算方法被应用于等高线图的多尺度分析。
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.