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Proceedings Paper

Critical region analysis of scalar fields in arbitrary dimensions
Author(s): Madjid Allili; Marc Ethier; Tomasz Kaczynski
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Paper Abstract

The exploration of multidimensional scalar fields is commonly based on the knowledge of the topology of their isosurfaces. The latter is established through the analysis of critical regions of the studied fields. A new method, based on homology theory, for the detection and classification of critical regions in multidimensional scalar fields is proposed in this paper. The use of computational homology provides an efficient and successful algorithm that works in all dimensions and allows to generalize visual classification techniques based solely on the notion of connectedness which appears insufficient in higher dimensions. We present the algorithm, discuss details of its implementation, and illustrate it by experimentations in two, three, and four dimensional spaces.

Paper Details

Date Published: 18 January 2010
PDF: 12 pages
Proc. SPIE 7530, Visualization and Data Analysis 2010, 753008 (18 January 2010); doi: 10.1117/12.840333
Show Author Affiliations
Madjid Allili, Bishop's Univ. (Canada)
Marc Ethier, Univ. de Sherbrooke (Canada)
Tomasz Kaczynski, Univ. de Sherbrooke (Canada)


Published in SPIE Proceedings Vol. 7530:
Visualization and Data Analysis 2010
Jinah Park; Ming C. Hao; Pak Chung Wong; Chaomei Chen, Editor(s)

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