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Author, Editor(s)

Author(s):

Schultz, Thomas
Theisel, Holger
Seidel, Hans-Peter

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Not MPG Author(s):

Theisel, Holger

BibTeX cite key*:

Schultz:TVCG10

Title

Title*:

Crease Surfaces: From Theory to Extraction and Application to Diffusion Tensor MRI

Journal

Journal Title*:

IEEE Transactions on Visualization and Computer Graphics

Journal's URL:


Download URL
for the article:

http://www.computer.org/portal/web/csdl/doi/10.1109/TVCG.2009.44

Language:

English

Publisher

Publisher's
Name:

IEEE

Publisher's URL:


Publisher's
Address:

Piscataway, NJ

ISSN:

1077-2626

Vol, No, pp, Date

Volume*:

16

Number:

1

Publishing Date:

January 2010

Pages*:

109-119

Number of
VG Pages:


Page Start:

109

Page End:

119

Sequence Number:


DOI:

10.1109/TVCG.2009.44

Note, Abstract, ©

Note:


(LaTeX) Abstract:

Crease surfaces are two-dimensional manifolds along which a scalar field assumes a local maximum (ridge) or a local minimum (valley) in a constrained space. Unlike isosurfaces, they are able to capture extremal structures in the data. Creases have a long tradition in image processing and computer vision, and have recently become a popular tool for visualization. When extracting crease surfaces, degeneracies of the Hessian (i.e., lines along which two eigenvalues are equal) have so far been ignored. We show that these loci, however, have two important consequences for the topology of crease surfaces: First, creases are bounded not only by a side constraint on eigenvalue sign, but also by Hessian degeneracies. Second, crease surfaces are not, in general, orientable. We describe an efficient algorithm for the extraction of crease surfaces which takes these insights into account and demonstrate that it produces more accurate results than previous approaches. Finally, we show that diffusion tensor magnetic resonance imaging (DT-MRI) stream surfaces, which were previously used for the analysis of planar regions in diffusion tensor MRI data, are mathematically ill-defined. As an example application of our method, creases in a measure of planarity are presented as a viable substitute.

URL for the Abstract:


Categories,
Keywords:


HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Appearance:

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


BibTeX Entry:

@ARTICLE{Schultz:TVCG10,
AUTHOR = {Schultz, Thomas and Theisel, Holger and Seidel, Hans-Peter},
TITLE = {Crease Surfaces: From Theory to Extraction and Application to Diffusion Tensor {MRI}},
JOURNAL = {IEEE Transactions on Visualization and Computer Graphics},
PUBLISHER = {IEEE},
YEAR = {2010},
NUMBER = {1},
VOLUME = {16},
PAGES = {109--119},
ADDRESS = {Piscataway, NJ},
MONTH = {January},
ISBN = {1077-2626},
DOI = {10.1109/TVCG.2009.44},
}


Entry last modified by Anja Becker, 01/25/2011
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Editor(s)
[Library]
Created
01/08/2010 04:40:06 PM
Revision
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Editor
Anja Becker
Thomas Schultz


Edit Date
25.01.2011 14:16:43
01/08/2010 04:40:06 PM


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