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2D Asymmetric Tensor Field Topology

Title2D Asymmetric Tensor Field Topology
Publication TypeBook Chapter
Year of Publication2012
AuthorsLin, Z., H. Yeh, R. S. Laramee, and E. Zhang
Book TitleTopology-Based Methods in Visualization IV (Mathematics and Visualization),
Pagination191 - 204
Date Published2012
PublisherSpringer Berlin Heidelberg
CityBerlin, Heidelberg
ISBN Number978-3-642-23175-9

In this chapter we define the topology of two-dimensional (2D) asymmetric tensor fields in terms of two graphs corresponding to the eigenvalue and eigenvector analysis for tensor fields, respectively. Asymmetric tensor field topology can not only yield a concise representation of the field, but also provide a framework for spatial-temporal tracking of field features. Furthermore, inherent topological constraints in asymmetric tensor fields can be identified unambiguously through these graphs. We also describe efficient algorithms to compute the topology of a given 2D asymmetric tensor field. We demonstrate the utility of our graph representations for asymmetric tensor field topology with fluid simulation data sets.