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  Topological Structures in Two-Parameter-Dependent 2D Vector Fields

Weinkauf, T., Theisel, H., Hege, H.-C., & Seidel, H.-P. (2006). Topological Structures in Two-Parameter-Dependent 2D Vector Fields. In EUROGRAPHICS 2006 (EG'06) (pp. 607-616). Oxford, UK: Blackwell.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2443-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2444-3
Genre: Conference Paper

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 Creators:
Weinkauf, Tino, Author
Theisel, Holger1, Author           
Hege, Hans-Christian, Author
Seidel, Hans-Peter1, Author           
Szirmay-Kalos, László, Editor
Gröller, Eduard, Editor
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Abstract: In this paper we extract and visualize the topological skeleton of two-parameter-dependent vector fields. This kind of vector data depends on two parameter dimensions, for instance physical time and a scale parameter. We show that two important classes of local bifurcations – fold and Hopf bifurcations – build line structures for which we present an approach to extract them. Furthermore we show that new kinds of structurally stable local bifurcations exist for this data, namely fold-fold and Hopf-fold bifurcations. We present a complete classification of them. We apply our topological extraction method to analyze a number of two-parameter-dependent vector fields with different physical interpretations of the two additional dimensions.

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Language(s): eng - English
 Dates: 2007-03-162006
 Publication Status: Issued
 Pages: -
 Publishing info: Oxford, UK : Blackwell
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 314631
Other: Local-ID: C125675300671F7B-C7A50DDD67376FFAC1257235005E9689-Theisel2006EG
 Degree: -

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Title: Untitled Event
Place of Event: Vienna, Austria
Start-/End Date: 2006-09-04

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Title: EUROGRAPHICS 2006 (EG'06)
Source Genre: Proceedings
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Publ. Info: Oxford, UK : Blackwell
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 607 - 616 Identifier: -

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Title: Computer Graphics Forum
Source Genre: Series
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