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Author, Editor

Author(s):

Günther, David
Reininghaus, Jan
Prohaska, Steffen
Weinkauf, Tino
Hege, Hans-Christian

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Not MPG Author(s):

Reininghaus, Jan
Prohaska, Steffen
Hege, Hans-Christian

Editor(s):

Peikert, Ronald
Hauser, Helwig
Car, Hamish
Fuchs, Raphael

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Not MPII Editor(s):

Peikert, Ronald
Hauser, Helwig
Car, Hamish
Fuchs, Raphael

BibTeX cite key*:

guenther12a

Title, Booktitle

Title*:

Efficient Computation of a Hierarchy of Discrete 3{D} Gradient Vector Fields

Booktitle*:

Topological Methods in Data Analysis and Visualization II

Chapter:


Series:

Mathematics and VIsualization

Language:

English

Publisher

Name*:

Springer

URL:


Address*:

New York, NY

Publication Type:


Vol, No, pp., Year

Volume:


Number:


Edition:


Pages*:

15-29

Month:


VG Wort Pages:


ISBN:

978-3-642-23174-2

Year*:

2012

Abstract, Links, ©

Note:


LaTeX Abstract:

This paper introduces a novel combinatorial algorithm to compute a hierarchy of discrete gradient vector fields for three-dimensional scalar fields. The hierarchy is defined by an importance measure and represents the combinatorial gradient flow at different levels of detail. The presented algorithm is based on Forman’s discrete Morse theory, which guarantees topological consistency and algorithmic robustness. In contrast to previous work, our algorithm combines memory and runtime efficiency. It thereby lends itself to the analysis of large data sets. A discrete gradient vector field is also a compact representation of the underlying extremal structures – the critical points, separation lines and surfaces. Given a certain level of detail, an explicit geometric representation of these structures can be extracted using simple and fast graph algorithms.

URL Abstract:


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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:
@INBOOK{guenther12a,
AUTHOR = {G{\"u}nther, David and Reininghaus, Jan and Prohaska, Steffen and Weinkauf, Tino and Hege, Hans-Christian},
EDITOR = {Peikert, Ronald and Hauser, Helwig and Car, Hamish and Fuchs, Raphael},
TITLE = {Efficient Computation of a Hierarchy of Discrete 3{D} Gradient Vector Fields},
BOOKTITLE = {Topological Methods in Data Analysis and Visualization II},
PUBLISHER = {Springer},
YEAR = {2012},
PAGES = {15--29},
SERIES = {Mathematics and VIsualization},
ADDRESS = {New York, NY},
ISBN = {978-3-642-23174-2},
DOI = {10.1007/978-3-642-23175-9_2},
}


Entry last modified by Anja Becker, 12/19/2012
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Editor(s)
[Library]
Created
12/19/2012 10:36:11 AM
Revision
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Editor
Anja Becker
Anja Becker


Edit Date
19.12.2012 10:44:27
19.12.2012 10:42:05