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Author, Editor

Author(s):

Reininghaus, Jan
Günther, David
Hotz, Ingrid
Weinkauf, Tino
Seidel, Hans-Peter

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Not MPG Author(s):

Reininghaus, Jan
Hotz, Ingrid

BibTeX cite key*:

reininghaus12a

Title

Title*:

Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices

Journal

Journal Title*:

ArXiv

Journal's URL:


Download URL
for the article:

http://arxiv.org/abs/1208.6523

Language:

English

Publisher

Publisher's
Name:

Cornell University Library

Publisher's URL:


Publisher's
Address:

Ithaca, NJ

ISSN:


Vol, No, Year, pp.

Volume:

1208.6523v1

Number:


Month:


Year*:

2012

Pages:

1-17

Number of VG Pages:


Sequence Number:


DOI:


Abstract, Links, (C)

Note:


(LaTeX) Abstract:

This paper proposes an efficient probabilistic method that computes combinatorial gradient fields for two dimensional image data. In contrast to existing algorithms, this approach yields a geometric Morse-Smale complex that converges almost surely to its continuous counterpart when the image resolution is increased. This approach is motivated using basic ideas from probability theory and builds upon an algorithm from discrete Morse theory with a strong mathematical foundation. While a formal proof is only hinted at, we do provide a thorough numerical evaluation of our method and compare it to established algorithms.

URL for the Abstract:


Categories / Keywords:


HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


Download
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:

@MISC{reininghaus12a,
AUTHOR = {Reininghaus, Jan and G{\"u}nther, David and Hotz, Ingrid and Weinkauf, Tino and Seidel, Hans-Peter},
TITLE = {Combinatorial Gradient Fields for 2{D} Images with Empirically Convergent Separatrices},
JOURNAL = {ArXiv},
PUBLISHER = {Cornell University Library},
YEAR = {2012},
VOLUME = {1208.6523v1},
PAGES = {1--17},
ADDRESS = {Ithaca, NJ},
}


Entry last modified by Anja Becker, 12/18/2012
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Editor(s)
[Library]
Created
12/18/2012 01:17:25 PM
Revision
1.
0.


Editor
Anja Becker
Anja Becker


Edit Date
18.12.2012 13:49:30
18.12.2012 13:46:36