Topological Structures in Two-Parameter-Dependent 2D Vector Fields
| dc.contributor.author | Weinkauf, T. | en_US |
| dc.contributor.author | Theisel, H. | en_US |
| dc.contributor.author | Hege, H.-C. | en_US |
| dc.contributor.author | Seidel, H.-P. | en_US |
| dc.date.accessioned | 2015-02-21T14:32:06Z | |
| dc.date.available | 2015-02-21T14:32:06Z | |
| dc.date.issued | 2006 | en_US |
| dc.description.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.Categories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Line and Curve Generation I.3.3 [Computer Graphics]: Picture/Image Generation | en_US |
| dc.description.number | 3 | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
| dc.description.volume | 25 | en_US |
| dc.identifier.doi | 10.1111/j.1467-8659.2006.00980.x | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.pages | 607-616 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/j.1467-8659.2006.00980.x | en_US |
| dc.publisher | The Eurographics Association and Blackwell Publishing, Inc | en_US |
| dc.title | Topological Structures in Two-Parameter-Dependent 2D Vector Fields | en_US |