2D Asymmetric Tensor Analysis

I
IEEE_VIS
2005
16th IEEE Visualization 2005 (VIS 2005)
Abstract - 2D Asymmetric Tensor Analysis

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16th IEEE Visualization 2005 (VIS 2005)

Minneapolis, Minnesota

October 23-October 28

ISBN: 0-7803-9462-3

	ASCII Text	x
	Xiaoqiang Zheng, Alex Pang, "2D Asymmetric Tensor Analysis," Visualization Conference, IEEE, pp. 1, 16th IEEE Visualization 2005 (VIS 2005), 2005.

	BibTex	x
	@article{ 10.1109/VIS.2005.1, author = {Xiaoqiang Zheng and Alex Pang}, title = {2D Asymmetric Tensor Analysis}, journal ={Visualization Conference, IEEE}, volume = {0}, year = {2005}, isbn = {0-7803-9462-3}, pages = {1}, doi = {http://doi.ieeecomputersociety.org/10.1109/VIS.2005.1}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Visualization Conference, IEEE TI - 2D Asymmetric Tensor Analysis SN - 0-7803-9462-3 SP EP A1 - Xiaoqiang Zheng, A1 - Alex Pang, PY - 2005 KW - critical points KW - general tensors KW - symmetric tensors KW - degenerate tensors KW - tensor topology KW - topological lines KW - hyperstreamlines VL - 0 JA - Visualization Conference, IEEE ER -

Xiaoqiang Zheng, University of California, Santa Cruz

Alex Pang, University of California, Santa Cruz

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/VIS.2005.1

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.

Index Terms:

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

Citation:

Xiaoqiang Zheng, Alex Pang, "2D Asymmetric Tensor Analysis," ieee_vis, pp.1, 16th IEEE Visualization 2005 (VIS 2005), 2005

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