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Tensor Topology Tracking: A Visualization Method for Time‐Dependent 2D Symmetric Tensor Fields
Author(s) -
Tricoche X.,
Scheuermann G.,
Hagen H.
Publication year - 2001
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.00539
Subject(s) - tensor field , tensor (intrinsic definition) , visualization , topology (electrical circuits) , simple (philosophy) , tracking (education) , tensor calculus , vector field , degenerate energy levels , computer science , scheme (mathematics) , mathematics , exact solutions in general relativity , mathematical analysis , pure mathematics , geometry , physics , artificial intelligence , psychology , pedagogy , philosophy , epistemology , quantum mechanics , combinatorics
Topological methods produce simple and meaningful depictions of symmetric, second order two‐dimensional tensor fields. Extending previous work dealing with vector fields, we propose here a scheme for the visualization of time‐dependent tensor fields. Basic notions of unsteady tensor topology are discussed. Topological changes ‐ known as bifurcations ‐ are precisely detected and identified by our method which permits an accurate tracking of degenerate points and related structures.