2D asymmetric tensor analysis

被引：0

作者：

Zheng, XQ ^{[1
]}

Pang, A ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Comp Sci Dept, Santa Cruz, CA 95064 USA

来源：

IEEE VISUALIZATION 2005, PROCEEDINGS | 2005年

关键词：

critical points; general tensors; symmetric tensors; degenerate tensors; tensor topology; topological lines; hyperstreamlines;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Analysis of degenerate tensors is a fundamental step in finding the topological structures and separatrices in tensor fields. Previous work in this area have been limited to analyzing symmetric second order tensor fields. In this paper, we extend the topological analysis to 2D general (asymmetric) second order tensor fields. We show that it is not sufficient to define degeneracies based on eigenvalues alone, but one must also include the eigenvectors in the analysis. We also study the behavior of these eigenvectors as they cross from one topological region into another.

引用

页码：3 / 10

页数：8

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