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Curvature Measures of 3D Vector Fields and their Applications
Zuse Institute Berlin, Germany. (Visualization and Data Analysis)ORCID iD: 0000-0002-1498-9062
2002 (English)In: WSCG'2002, VOLS I AND II, CONFERENCE PROCEEDINGS, University of West Bohemia in Pilsen - Publishing Centre, 2002, no 2, 507-514 p.Conference paper (Refereed)Text
Abstract [en]

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.

Place, publisher, year, edition, pages
University of West Bohemia in Pilsen - Publishing Centre, 2002. no 2, 507-514 p.
Keyword [en]
flow visualization, vector fields, tangent curves, curvature, topology
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
URN: urn:nbn:se:kth:diva-184756ISI: 000176365300067OAI: diva2:916755
10th International Conference on Computer Graphics, Visualization and Computer Vision 2002,Czech Republic, Feb 04-08, 2002

QC 20160405

Available from: 2016-04-04 Created: 2016-04-04 Last updated: 2016-04-05Bibliographically approved

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Weinkauf, Tino
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