NDLI: Topology-based simplification for feature extraction from 3D scalar fields

Content Provider	IEEE Xplore Digital Library
Author	Gyulassy, A. Vijay Natarajan
Copyright Year	2005
Description	Author affiliation: Dept. of Comput. Sci., California Univ., Davis, CA, USA (Gyulassy, A.; Vijay Natarajan)
Abstract	In this paper, we present a topological approach for simplifying continuous functions defined on volumetric domains. We introduce two atomic operations that remove pairs of critical points of the function and design a combinatorial algorithm that simplifies the Morse-Smale complex by repeated application of these operations. The Morse-Smale complex is a topological data structure that provides a compact representation of gradient flow between critical points of a function. Critical points paired by the Morse-Smale complex identify topological features and their importance. The simplification procedure leaves important critical points untouched, and is therefore useful for extracting desirable features. We also present a visualization of the simplified topology.
Starting Page	535
Ending Page	542
File Size	5496051
Page Count	8
File Format	PDF
ISBN	0780394623
DOI	10.1109/VISUAL.2005.1532839
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	Feature extraction Data visualization Topology Computer science Data analysis Data structures Computer graphics Solid modeling Tree graphs Probability distribution
Content Type	Text
Resource Type	Article

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