Title :
2D asymmetric tensor analysis
Author :
Zheng, Xiaoqiang ; Pang, Alex
Author_Institution :
Comput. Sci. Dept., California Univ., Santa Cruz, CA, USA
Abstract :
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.
Keywords :
data visualisation; eigenvalues and eigenfunctions; tensors; topology; 2D asymmetric tensor analysis; eigenvectors analysis; topological structure; Biomedical imaging; Chromium; Computer graphics; Computer science; Eigenvalues and eigenfunctions; Ellipsoids; Plastics; Tensile stress; Topology; Visualization;
Conference_Titel :
Visualization, 2005. VIS 05. IEEE
Print_ISBN :
0-7803-9462-3
DOI :
10.1109/VISUAL.2005.1532770