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Proceedings Paper

Refinement for Morse decompositions of vector fields using robust critical simplexes
Author(s): Longxing Kong; Xiao-an Tang; Junda Zhang; Li Wang
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Paper Abstract

Topology of vector fields based on Morse decompositions has been a more numerically stable representation than the conventional trajectory-based topology. The refinement for Morse decompositions means to get the optimal results with lower computations. To address the problems in the already existing refinement methods, which contain too many empirical parameters and vague refinement objectives, this paper proposes a novel refinement method for Morse decompositions of vector fields based on a new refinement criterion using robust critical simplexes. Firstly, the critical simplexes are defined and detected by a robust manner. Secondly, the Morse sets can be classified by their regions and the detected critical simplexes. And a new refinement criterion for identifying Morse sets to refine based on the classification of Morse sets is built. Finally, the refinement flow of the proposed method is presented. Experimental results demonstrate the availability and effectiveness of the proposed method.

Paper Details

Date Published: 29 August 2016
PDF: 5 pages
Proc. SPIE 10033, Eighth International Conference on Digital Image Processing (ICDIP 2016), 100334T (29 August 2016); doi: 10.1117/12.2244279
Show Author Affiliations
Longxing Kong, National Univ. of Defense Technology (China)
Xiao-an Tang, National Univ. of Defense Technology (China)
Junda Zhang, National Univ. of Defense Technology (China)
Li Wang, National Univ. of Defense Technology (China)


Published in SPIE Proceedings Vol. 10033:
Eighth International Conference on Digital Image Processing (ICDIP 2016)
Charles M. Falco; Xudong Jiang, Editor(s)

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