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 article |
URI: | http://wscg.zcu.cz/WSCG2014/!!_2014-Journal-No-1.pdf http://hdl.handle.net/11025/11898 |
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) |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/11898
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