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Advected Tangent Curves: A General Scheme for Characteristic Curves of Flow Fields
Max Planck Institute for Informatics, Germany. (Visualization and Data Analysis)ORCID-id: 0000-0002-1498-9062
2012 (engelsk)Inngår i: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 31, nr 2, s. 825-834Artikkel i tidsskrift (Fagfellevurdert) Published
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Abstract [en]

We present the first general scheme to describe all four types of characteristic curves of flow fields – stream, path, streak, and time lines – as tangent curves of a derived vector field. Thus, all these lines can be obtained by a simple integration of an autonomous ODE system. Our approach draws on the principal ideas of the recently introduced tangent curve description of streak lines. We provide the first description of time lines as tangent curves of a derived vector field, which could previously only be constructed in a geometric manner. Furthermore, our scheme gives rise to new types of curves. In particular, we introduce advected stream lines as a parameter-free variant of the time line metaphor. With our novel mathematical description of characteristic curves, a large number of feature extraction and analysis tools becomes available for all types of characteristic curves, which were previously only available for stream and path lines. We will highlight some of these possible applications including the computation of time line curvature fields and the extraction of cores of swirling advected stream lines.

sted, utgiver, år, opplag, sider
2012. Vol. 31, nr 2, s. 825-834
Emneord [en]
unsteady flow visualization, time lines, time surfaces, feature extraction
HSV kategori
Forskningsprogram
Datalogi; SRA - E-vetenskap (SeRC)
Identifikatorer
URN: urn:nbn:se:kth:diva-184844DOI: 10.1111/j.1467-8659.2012.03063.xISI: 000306182500010Scopus ID: 2-s2.0-84867380653OAI: oai:DiVA.org:kth-184844DiVA, id: diva2:916891
Konferanse
33rd Annual Conference on European Association for Computer Graphics, EUROGRAPHICS 2012, Cagliari, Sardinia, Italy, 13 May 2012 through 18 May 2012
Merknad

QC 20160405

Tilgjengelig fra: 2016-04-05 Laget: 2016-04-05 Sist oppdatert: 2022-06-23bibliografisk kontrollert

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Forlagets fulltekstScopushttp://www.csc.kth.se/~weinkauf/publications/absweinkauf12a.html

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Weinkauf, Tino

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