Topological Structures in Two-Parameter-Dependent 2D Vector Fields
2006 (English)In: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 25, no 3, 607-616 p.Article in journal (Refereed) PublishedText
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.
Place, publisher, year, edition, pages
2006. Vol. 25, no 3, 607-616 p.
vector field topology, 2D flow visualization, bifurcations, critical points, scale-space visualization, time-dependent visualization
Research subject Computer Science; SRA - E-Science (SeRC)
IdentifiersURN: urn:nbn:se:kth:diva-184763DOI: 10.1111/j.1467-8659.2006.00980.xISI: 000240736800040ScopusID: 2-s2.0-33845439076OAI: oai:DiVA.org:kth-184763DiVA: diva2:916745
QC 201604042016-04-042016-04-042016-04-05Bibliographically approved