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Author, Editor(s)

Author(s):

Günther, David
Seidel, Hans-Peter
Weinkauf, Tino

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BibTeX cite key*:

guenther12b

Title

Title*:

Extraction of Dominant Extremal Structures in Volumetric Data Using Separatrix Persistence

Journal

Journal Title*:

Computer Graphics Forum

Journal's URL:


Download URL
for the article:

http://dx.doi.org/10.1111/j.1467-8659.2012.03222.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:

8

Publishing Date:

December 2012

Pages*:

2554-2566

Number of
VG Pages:


Page Start:

2554

Page End:

2566

Sequence Number:


DOI:

10.1111/j.1467-8659.2012.03222.x

Note, Abstract, ©

Note:


(LaTeX) Abstract:

Extremal lines and surfaces are features of a 3D scalar field where the scalar function becomes minimal or maximal with respect to a local neighborhood. These features are important in many applications, e.g., computer tomography, fluid dynamics, cell biology. We present a novel topological method to extract these features using discrete Morse theory. In particular, we extend the notion of Separatrix Persistence from 2D to 3D, which gives us a robust estimation of the feature strength for extremal lines and surfaces. Not only does it allow us to determine the most important (parts of) extremal lines and surfaces, it also serves as a robust filtering measure of noise-induced structures. Our purely combinatorial method does not require derivatives or any other numerical computations.

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{guenther12b,
AUTHOR = {G{\"u}nther, David and Seidel, Hans-Peter and Weinkauf, Tino},
TITLE = {Extraction of Dominant Extremal Structures in Volumetric Data Using Separatrix Persistence},
JOURNAL = {Computer Graphics Forum},
PUBLISHER = {Blackwell},
YEAR = {2012},
NUMBER = {8},
VOLUME = {31},
PAGES = {2554--2566},
ADDRESS = {Oxford, UK},
MONTH = {December},
ISBN = {1467-8659},
DOI = {10.1111/j.1467-8659.2012.03222.x},
}


Entry last modified by Anja Becker, 12/18/2012
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Editor(s)
[Library]
Created
12/18/2012 11:26:57 AM
Revision
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Editor
Anja Becker
Anja Becker


Edit Date
18.12.2012 11:36:57
18.12.2012 11:33:23