NDLI: Extracting higher order critical points and topological simplification of 3D vector fields

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Extracting higher order critical points and topological simplification of 3D vector fields

Content Provider	IEEE Xplore Digital Library
Author	Weinkauf, T. Theisel, H. Shi, K. Hege, H.-C. Seidel, H.-P.
Copyright Year	2005
Description	Author affiliation: ZIB, Berlin, Germany (Weinkauf, T.)
Abstract	This paper presents an approach to extracting and classifying higher order critical points of 3D vector fields. To do so, we place a closed convex surface s around the area of interest. Then we show that the complete 3D classification of a critical point into areas of different flow behavior is equivalent to extracting the topological skeleton of an appropriate 2D vector field on s, if each critical point is equipped with an additional bit of information. Out of this skeleton, we create an icon which replaces the complete topological structure inside s for the visualization. We apply our method to find a simplified visual representation of clusters of critical points, leading to expressive visualizations of topologically complex 3D vector fields.
Starting Page	559
Ending Page	566
File Size	2830346
Page Count	8
File Format	PDF
ISBN	0780394623
DOI	10.1109/VISUAL.2005.1532842
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-10-23
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Visualization Computer graphics Skeleton Switches Electrostatics Data mining Chromium Jacobian matrices Topology Feature extraction
Content Type	Text
Resource Type	Article

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