Feature extraction of separation and attachment lines

Separation and attachment lines are topologically significant curves that exist on 2D surfaces in 3D vector fields. Two algorithms are presented, one point-based and one element-based, that extract separation and attachment lines using eigenvalue analysis of a locally linear function. Unlike prior t...

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Bibliographic Details
Published in:IEEE transactions on visualization and computer graphics 1999-04, Vol.5 (2), p.135-144
Main Authors: Kenwright, D.N., Henze, C., Levit, C.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Algorithms
Attachment
Computational fluid dynamics
Computational modeling
Eigenvalues and eigenfunctions
Feature extraction
Large-scale systems
Mathematical analysis
Mathematical models
Numerical simulation
Robustness
Separation
Testing
Vectors
Vectors (mathematics)
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Summary:Separation and attachment lines are topologically significant curves that exist on 2D surfaces in 3D vector fields. Two algorithms are presented, one point-based and one element-based, that extract separation and attachment lines using eigenvalue analysis of a locally linear function. Unlike prior techniques based on piecewise numerical integration, these algorithms use robust analytical tests that can be applied independently to any point in a vector field. The feature extraction is fully automatic and suited to the analysis of large-scale numerical simulations. The strengths and weaknesses of the two algorithms are evaluated using analytic vector fields and also results from computational fluid dynamics (CFD) simulations. We show that both algorithms detect open separation lines-a type of separation that is not captured by conventional vector field topology algorithms.
ISSN:1077-2626
1941-0506
DOI:10.1109/2945.773805