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Author, Editor(s)

Author(s):

Langer, Torsten
Belyaev, Alexander
Seidel, Hans-Peter

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BibTeX cite key*:

LangerCAGD2007

Title

Title*:

Exact and Interpolatory Quadratures for Curvature Tensor Estimation

Journal

Journal Title*:

Computer Aided Geometric Design

Journal's URL:

http://www.elsevier.com/wps/find/journaldescription.cws_home/505604/description

Download URL
for the article:

http://dx.doi.org/10.1016/j.cagd.2006.09.006

Language:

English

Publisher

Publisher's
Name:

Elsevier

Publisher's URL:

http://www.elsevier.com/wps/find/homepage.cws_home

Publisher's
Address:

Amsterdam

ISSN:

0167-8396

Vol, No, pp, Date

Volume*:

24

Number:

8-9

Publishing Date:

November 2007

Pages*:

443-463

Number of
VG Pages:

43

Page Start:

443

Page End:

463

Sequence Number:


DOI:

10.1016/j.cagd.2006.09.006

Note, Abstract, ©

Note:


(LaTeX) Abstract:

The computation of the curvature of smooth surfaces has a long history
in differential geometry and is essential for many
geometric modeling applications such as feature detection. We present a novel approach to calculate the
mean curvature from arbitrary normal curvatures. Then, we demonstrate how the same method can be used to
obtain new formulae to compute the Gaussian curvature and the curvature tensor.
The idea is to compute the curvature integrals by a weighted sum by making use of the periodic
structure of the normal curvatures to make the quadratures exact.
Finally, we derive an approximation formula for
the curvature of discrete data like meshes and
show its convergence if quadratically converging normals are available.

URL for the Abstract:

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYN-4PC3S7P-2&_user=43521&_coverDate=12%2F31%2F2007&_rdoc=1&_fmt=summary&_orig=search&_cdi=5623&_sort=d&_docanchor=&view=c&_acct=C000004638&_version=1&_urlVersion=0&_userid=43521&md5=beb88e2095bcabde79942b7692c4709e

Categories,
Keywords:

Mean curvature, Curvature tensor, Discretization, Convergence analysis, Exact quadrature

HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


Download
Access Level:

Intranet

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{LangerCAGD2007,
AUTHOR = {Langer, Torsten and Belyaev, Alexander and Seidel, Hans-Peter},
TITLE = {Exact and Interpolatory Quadratures for Curvature Tensor Estimation},
JOURNAL = {Computer Aided Geometric Design},
PUBLISHER = {Elsevier},
YEAR = {2007},
NUMBER = {8-9},
VOLUME = {24},
PAGES = {443--463},
ADDRESS = {Amsterdam},
MONTH = {November},
ISBN = {0167-8396},
DOI = {10.1016/j.cagd.2006.09.006},
}


Entry last modified by Uwe Brahm, 02/28/2008
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Editor(s)
Torsten Langer
Created
03/01/2007 06:40:22 PM
Revisions
9.
8.
7.
6.
5.
Editor(s)
Uwe Brahm
Anja Becker
Torsten Langer
Torsten Langer
Torsten Langer
Edit Dates
02/28/2008 04:22:57 PM
13.02.2008 16:11:11
12/21/2007 12:48:04 PM
12/11/2007 04:25:55 PM
10/17/2007 10:25:58 AM