Motion of curves in three spatial dimensions using a level set approach

被引:69
作者
Burchard, P [1 ]
Cheng, LT [1 ]
Merriman, B [1 ]
Osher, S [1 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
关键词
D O I
10.1006/jcph.2001.6758
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The level set method was originally designed for problems dealing with codimension one objects. where it has been extremely succesful. especially when topological changes in the interface, i.e., merging and breaking, occur. Attempts have been made to modify it to handle objects of higher codimension, such as vortex filaments, while preserving the merging and breaking property. We present numerical simulations of a level set based method for moving curves in R-3. the model problem for higher codimension, that allows for topological changes. A vector valued level set function is used with the zero level set representing the curve. Our results show that this method can handle many types of curves moving under all types of geometrically based flows while automatically enforcing merging and breaking. (C) 2001 Academic Press.
引用
收藏
页码:720 / 741
页数:22
相关论文
共 15 条
[11]   EFFICIENT IMPLEMENTATION OF ESSENTIALLY NON-OSCILLATORY SHOCK-CAPTURING SCHEMES [J].
SHU, CW ;
OSHER, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 77 (02) :439-471
[12]   A LEVEL SET APPROACH FOR COMPUTING SOLUTIONS TO INCOMPRESSIBLE 2-PHASE FLOW [J].
SUSSMAN, M ;
SMEREKA, P ;
OSHER, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (01) :146-159
[13]   HAMILTONIAN APPROACH TO THE DESCRIPTION OF NONLINEAR PLASMA PHENOMENA [J].
ZAKHAROV, VE ;
MUSHER, SL ;
RUBENCHIK, AM .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1985, 129 (05) :285-366
[14]   Variational level set approach to multiphase motion [J].
Zhao, HK ;
Chan, T ;
Merriman, B ;
Osher, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 127 (01) :179-195
[15]  
[No title captured]