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The Topology of Three-Dimensional Symmetric Tensor FieldsWe study the topology of 3-D symmetric tensor fields. The goal is to represent their complex structure by a simple set of carefully chosen points and lines analogous to vector field topology. The basic constituents of tensor topology are the degenerate points, or points where eigenvalues are equal to each other. First, we introduce a new method for locating 3-D degenerate points. We then extract the topological skeletons of the eigenvector fields and use them for a compact, comprehensive description of the tensor field. Finally, we demonstrate the use of tensor field topology for the interpretation of the two-force Boussinesq problem.
Document ID
20000012389
Acquisition Source
Ames Research Center
Document Type
Other
Authors
Lavin, Yingmei
(Stanford Univ. Stanford, CA United States)
Levy, Yuval
(Stanford Univ. Stanford, CA United States)
Hesselink, Lambertus
(Stanford Univ. Stanford, CA United States)
Date Acquired
September 7, 2013
Publication Date
January 1, 1994
Subject Category
Computer Programming And Software
Funding Number(s)
CONTRACT_GRANT: NSF ECS-92-15145
CONTRACT_GRANT: NAG2-911
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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