Change search
ReferencesLink to record
Permanent link

Direct link
Extracting Separation Surfaces of Path Line Oriented Topology in Periodic 2D Time-Dependent Vector Fields
Zuse Institute Berlin. (Visualization and Data Analysis)ORCID iD: 0000-0002-1498-9062
Show others and affiliations
2007 (English)In: Journal of WSCG, ISSN 1213-6964, Vol. 15, no 1, 75-82 p.Article in journal (Refereed) PublishedText
Abstract [en]

This paper presents an approach to extracting the separation surfaces from periodic 2D time-dependent vector fields based on a recently introduced path line oriented topology. This topology is based on critical path lines which repeat the same spatial cycle per time period. Around those path lines there are areas of similar asymptotic flow behavior basins which are captured by a 2D Poincare map as a discrete dynamical system. Due to pseudo discontinuities in this map and the discrete integration scheme, separatrices between the basins can not be obtained as integral curves. Instead we choose a point-wise approach to segment the Poincare map and apply computer vision algorithms to extract the 2D separation curves. Starting from those curves we integrate separation surfaces which partition the periodic 2D time-dependent vector field into areas of similar path line behavior. We apply our approach to a number of data sets to to demonstrate its utility.

Place, publisher, year, edition, pages
2007. Vol. 15, no 1, 75-82 p.
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
Identifiers
URN: urn:nbn:se:kth:diva-184743OAI: oai:DiVA.org:kth-184743DiVA: diva2:916764
Note

QC 20160406

Available from: 2016-04-04 Created: 2016-04-04 Last updated: 2016-04-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Extracting Separation Surfaces of Path Line Oriented Topology in Periodic 2D Time-Dependent Vector Fields

Search in DiVA

By author/editor
Weinkauf, Tino
Computer Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 4 hits
ReferencesLink to record
Permanent link

Direct link