NDLI: Topological lines in 3D tensor fields

Content Provider	IEEE Xplore Digital Library
Author	Zheng, X. Pang, A.
Copyright Year	2004
Description	Author affiliation: Dept. of Comput. Sci., California Univ., Santa Cruz, CA, USA (Zheng, X.; Pang, A.)
Abstract	Visualization of 3D tensor fields continues to be a major challenge in terms of providing intuitive and uncluttered images that allow the users to better understand their data. The primary focus of this paper is on finding a formulation that lends itself to a stable numerical algorithm for extracting stable and persistent topological features from 2nd order real symmetric 3D tensors. While features in 2D tensors can be identified as either wedge or trisector points, in 3D, the corresponding stable features are lines, not just points. These topological feature lines provide a compact representation of the 3D tensor field and are essential in helping scientists and engineers understand their complex nature. Existing techniques work by finding degenerate points and are not numerically stable, and worse, produce both false positive and false negative feature points. This work seeks to address this problem with a robust algorithm that can extract these features in a numerically stable, accurate, and complete manner.
Starting Page	313
Ending Page	320
File Size	301005
Page Count	8
File Format	PDF
ISBN	0780387880
DOI	10.1109/VISUAL.2004.105
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-10-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Tensile stress Topology Data visualization Data mining Feature extraction Computer science Focusing Robustness Chromium Computer graphics topological lines hyperstreamlines real symmetric tensors degenerate tensors tensor topology
Content Type	Text
Resource Type	Article

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