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Topological Structures in Two-Parameter-Dependent 2D Vector Fields
Zuse Institute Berlin (ZIB), Berlin, Germany. (Visualization and Data Analysis)ORCID-id: 0000-0002-1498-9062
2006 (engelsk)Inngår i: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 25, nr 3, s. 607-616Artikkel i tidsskrift (Fagfellevurdert) Published
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Abstract [en]

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.

sted, utgiver, år, opplag, sider
2006. Vol. 25, nr 3, s. 607-616
Emneord [en]
vector field topology, 2D flow visualization, bifurcations, critical points, scale-space visualization, time-dependent visualization
HSV kategori
Forskningsprogram
Datalogi; SRA - E-vetenskap (SeRC)
Identifikatorer
URN: urn:nbn:se:kth:diva-184763DOI: 10.1111/j.1467-8659.2006.00980.xISI: 000240736800040Scopus ID: 2-s2.0-33845439076OAI: oai:DiVA.org:kth-184763DiVA, id: diva2:916745
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QC 20160404

Tilgjengelig fra: 2016-04-04 Laget: 2016-04-04 Sist oppdatert: 2022-06-23bibliografisk kontrollert

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