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Author, Editor(s)

Author(s):

Weinkauf, Tino
Hege, Hans-Christian
Theisel, Holger

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Not MPG Author(s):

Hege, Hans-Christian
Theisel, Holger

BibTeX cite key*:

weinkauf12a

Title

Title*:

Advected Tangent Curves: A General Scheme for Characteristic Curves of Flow Fields

Journal

Journal Title*:

Computer Graphics Forum (Proceedings EUROGRAPHICS 2012)

Journal's URL:


Download URL
for the article:

http://dx.doi.org/10.1111/j.1467-8659.2012.03063.x

Language:

English

Publisher

Publisher's
Name:

Blackwell

Publisher's URL:


Publisher's
Address:

Oxford, UK

ISSN:

1467-8659

Vol, No, pp, Date

Volume*:

31

Number:

2012

Publishing Date:

May 2012

Pages*:

825-834

Number of
VG Pages:


Page Start:

825

Page End:

834

Sequence Number:


DOI:

10.1111/j.1467-8659.2012.03063.x

Note, Abstract, ©

Note:


(LaTeX) Abstract:

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.

URL for the Abstract:


Categories,
Keywords:


HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


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Access Level:

Internal

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Audience:

Expert

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort


BibTeX Entry:

@ARTICLE{weinkauf12a,
AUTHOR = {Weinkauf, Tino and Hege, Hans-Christian and Theisel, Holger},
TITLE = {Advected Tangent Curves: A General Scheme for Characteristic Curves of Flow Fields},
JOURNAL = {Computer Graphics Forum (Proceedings EUROGRAPHICS 2012)},
PUBLISHER = {Blackwell},
YEAR = {2012},
NUMBER = {2012},
VOLUME = {31},
PAGES = {825--834},
ADDRESS = {Oxford, UK},
MONTH = {May},
ISBN = {1467-8659},
DOI = {10.1111/j.1467-8659.2012.03063.x},
}


Entry last modified by Anja Becker, 12/19/2012
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Editor(s)
[Library]
Created
12/19/2012 09:59:00 AM
Revision
0.



Editor
Anja Becker



Edit Date
19.12.2012 10:14:15