Title: | Curvature measures of 3D vector fields and their applications |
Authors: | Weinkauf, T. Theisel, H. |
Citation: | Journal of WSCG. 2002, vol. 10, no. 1-2, p. 507-514. |
Issue Date: | 2002 |
Publisher: | UNION Agency |
Document type: | článek article |
URI: | http://wscg.zcu.cz/wscg2002/Papers_2002/D47.pdf http://hdl.handle.net/11025/6019 |
ISSN: | 1213-6972 (print) 1213-6980 (CD-ROM) 1213-6964 (online) |
Keywords: | vizualizace toku;vektorová pole;tečné křivky;kurvatura;topologie |
Keywords in different language: | flow visualization;vector fields;tangent curves;curvature;topology |
Abstract: | Tangent curves are a powerful tool for analyzing and visualizing vector fields. In this paper two of their most important properties are examined: their curvature and torsion. Furthermore, the concept of normal surfaces is introduced to the theory of 3D vector fields, and their Gaussian and mean curvature are analyzed. It is shown that those four curvature measures tend to infinity near critical points of a 3D vector field. Applications utilizing this behaviour for the (topological) treatment of critical points are discussed. |
Rights: | © UNION Agency |
Appears in Collections: | Volume 10, number 1-2 (2002) |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/6019
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