Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Streak Lines as Tangent Curves of a Derived Vector Field
Courant Institute, New York University, USA. (Visualization and Data Analysis)ORCID iD: 0000-0002-1498-9062
2010 (English)In: IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, E-ISSN 1941-0506, Vol. 16, no 6, p. 1225-1234Article in journal (Refereed) Published
Resource type
Text
Abstract [en]

Characteristic curves of vector fields include stream, path, and streak lines. Stream and path lines can be obtained by a simple vector field integration of an autonomous ODE system, i.e., they can be described as tangent curves of a vector field. This facilitates their mathematical analysis including the extraction of core lines around which stream or path lines exhibit swirling motion, or the computation of their curvature for every point in the domain without actually integrating them. Such a description of streak lines is not yet available, which excludes them from most of the feature extraction and analysis tools that have been developed in our community. In this paper, we develop the first description of streak lines as tangent curves of a derived vector field – the streak line vector field – and show how it can be computed from the spatial and temporal gradients of the flow map, i.e., a dense path line integration is required. We demonstrate the high accuracy of our approach by comparing it to solutions where the ground truth is analytically known and to solutions where the ground truth has been obtained using the classic streak line computation. Furthermore, we apply a number of feature extraction and analysis tools to the new streak line vector field including the extraction of cores of swirling streak lines and the computation of streak line curvature fields. These first applications foreshadow the large variety of possible future research directions based on our new mathematical description of streak lines.

Place, publisher, year, edition, pages
2010. Vol. 16, no 6, p. 1225-1234
Keywords [en]
unsteady flow visualization, streak lines, streak surfaces, feature extraction
National Category
Computer Sciences
Research subject
Computer Science; SRA - E-Science (SeRC)
Identifiers
URN: urn:nbn:se:kth:diva-184779DOI: 10.1109/TVCG.2010.198ISI: 000283758600042PubMedID: 20975162Scopus ID: 2-s2.0-78149251206OAI: oai:DiVA.org:kth-184779DiVA, id: diva2:916777
Note

Received the Vis 2010 Best Paper Award

QC 20160405

Available from: 2016-04-04 Created: 2016-04-04 Last updated: 2018-01-10Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textPubMedScopushttp://www.csc.kth.se/~weinkauf/publications/absweinkauf10c.html

Authority records BETA

Weinkauf, Tino

Search in DiVA

By author/editor
Weinkauf, Tino
In the same journal
IEEE Transactions on Visualization and Computer Graphics
Computer Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
pubmed
urn-nbn

Altmetric score

doi
pubmed
urn-nbn
Total: 22 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf