Title: Detecting Topologically Relevant Structures in Flows by Surface Integrals
Authors: Reich, Wieland
Kasten, Jens
Scheuermann, Gerik
Citation: Journal of WSCG. 2014, vol. 22, no. 1, p. 39-48.
Issue Date: 2014
Publisher: Václav Skala - UNION Agency
Document type: článek
URI: http://wscg.zcu.cz/WSCG2014/!!_2014-Journal-No-1.pdf
ISSN: 1213–6972 (hardcopy)
1213–6980 (CD-ROM)
1213–6964 (online)
Keywords: povrchové integrály;topologie vektorového pole;vizualizace toku;přechodové matrice;stochastické procesy
Keywords in different language: surface integrals;vector field topology;flow visualization;transition matrices;stochastic processes
Abstract: Gauss’ theorem, which relates the flow through a surface to the vector field inside the surface, is an important tool in Flow Visualization. We are exploit the fact that the theorem can be further refined on polygonal cells and construct a process that encodes the particle movement through the boundary facets of these cells using transition matrices. By pure power iteration of transition matrices, various topological features, such as separation and invariant sets, can be extracted without having to rely on the classical techniques, e.g., interpolation, differentiation and numerical streamline integration. We will apply our method to steady vector fields with a focus on three dimensions.
Rights: © Václav Skala - UNION Agency
Appears in Collections:Volume 22, Number 1 (2014)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/11898

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