Title: Extracting separation surfaces of path line oriented topology in periodic 2D time-dependent vector fields
Authors: Shi, Kuangyu
Theisel, Holger
Weinkauf, Tino
Hauser, Helwig
Hege, Hans-Christian
Seidel, Hans Peter
Citation: Journal of WSCG. 2007, vol. 15, no. 1-3, p. 75-82.
Issue Date: 2007
Publisher: Václav Skala - UNION Agency
Document type: článek
URI: http://wscg.zcu.cz/wscg2007/Papers_2007/journal/!WSCG2007_Journal_Final.zip
ISBN: 978-80-86943-00-8
ISSN: 1213-6972 (hardcopy)
1213-6964 (online)
1213-6980 (CD-ROM)
Keywords: vizualizace toku;časově závislá vektorová pole;topologické metody
Keywords in different language: flow visualization;time-dependent vector fields;topological methods
Abstract: This paper presents an approach to extracting the separation surfaces from periodic 2D time-dependent vector fields based on a recently introduced path line oriented topology. This topology is based on critical path lines which repeat the same spatial cycle per time period. Around those path lines there are areas of similar asymptotic flow behavior (basins) which are captured by a 2D Poincaré map as a discrete dynamical system. Due to pseudo discontinuities in this map and the discrete integration scheme, separatrices between the basins can’t be obtained as integral curves. Instead we choose a point-wise approach to segment the Poincaré map and apply image analysis algorithms to extract the 2D separation curves. Starting from those curves we integrate separation surfaces which partition the periodic 2D time-dependent vector field into areas of similar path line behavior. We apply our approach to a number of data sets to demonstrate its utility.
Rights: © Václav Skala - UNION Agency
Appears in Collections:Volume 15, number 1-3 (2007)

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