Visualizing the topology of symmetric, second-order, time-varying two-dimensional tensor fields

被引:2
作者
Tricoche, X [1 ]
Zheng, XQ
Pang, A
机构
[1] Univ Utah, Salt Lake City, UT 84112 USA
[2] Univ Calif Santa Cruz, Santa Cruz, CA 95064 USA
来源
VISUALIZATION AND PROCESSING OF TENSOR FIELDS | 2006年
关键词
D O I
10.1007/3-540-31272-2_13
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce the underlying theory behind degenerate points in 2D tensor fields to study the local field properties in the vicinity of linear and nonlinear singularities. The structural stability of these features and their corresponding separatrices are also analyzed. From here, we highlight the main techniques for visualizing and simplifying the topology of both static and time-varying 2D tensor fields.
引用
收藏
页码:225 / +
页数:4
相关论文
共 13 条
[1]  
Andronov A. A., 1973, QUALITATIVE THEORY 2
[2]  
CABRAL B, 1993, COMPUT GRAPH, V27, P263
[3]  
DELMARCELLE T, 1994, IEEE VISUAL, P140
[4]  
Delmarcelle T, 1994, VISUALIZATION 2 ORDE
[5]  
DICKINSON R, 1989, 3D VISUALIZATION DIS, V1083, P173
[6]  
Guckenheimer J., 1983, NONLINEAR OSCILLATIO, V42
[7]  
HELMAN J, 1989, IEEE COMPUT, V22, P144
[8]   Visualizing local vector field topology [J].
Scheuermann, G ;
Hamann, B ;
Joy, KI ;
Kollmann, W .
JOURNAL OF ELECTRONIC IMAGING, 2000, 9 (04) :356-367
[9]  
Teukolsky SA, 1992, NUMERICAL RECIPES C, VSecond
[10]  
TRICOCHE X, 2003, SCALING TOPOLOGY SYM, P171