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Author, Editor(s)

Author(s):

Weinkauf, Tino
Theisel, Holger

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dblp

Not MPG Author(s):

Weinkauf, Tino
Theisel, Holger

BibTeX cite key*:

weinkauf10c

Title

Title*:

Streak Lines as Tangent Curves of a Derived Vector Field

Journal

Journal Title*:

IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization 2010)

Journal's URL:


Download URL
for the article:

http://tinoweinkauf.net/publications/absweinkauf10c.html

Language:

English

Publisher

Publisher's
Name:


Publisher's URL:


Publisher's
Address:


ISSN:


Vol, No, pp, Date

Volume*:

16

Number:

6

Publishing Date:

November 2010

Pages*:

1225-1234

Number of
VG Pages:


Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:

Received the Vis 2010 Best Paper Award

(LaTeX) Abstract:

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.

URL for the Abstract:

http://tinoweinkauf.net/publications/absweinkauf10c.html

Categories,
Keywords:

unsteady flow visualization, streak lines, streak surfaces, feature extraction

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Personal Comments:


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Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Audience:

experts only

Appearance:

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


BibTeX Entry:

@ARTICLE{weinkauf10c,
AUTHOR = {Weinkauf, Tino and Theisel, Holger},
TITLE = {Streak Lines as Tangent Curves of a Derived Vector Field},
JOURNAL = {IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization 2010)},
YEAR = {2010},
NUMBER = {6},
VOLUME = {16},
PAGES = {1225--1234},
MONTH = {November},
NOTE = {Received the Vis 2010 Best Paper Award},
}


Entry last modified by Tino Weinkauf, 12/21/2011
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Editor(s)
Tino Weinkauf
Created
12/21/2011 05:18:57 AM
Revision
1.
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Editor
Tino Weinkauf
Tino Weinkauf


Edit Date
12/21/2011 05:21:08 AM
12/21/2011 05:18:57 AM


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