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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Langer, Torsten
Belyaev, Alexander
Seidel, Hans-Peter		dblp
dblp
dblp
Editor(s):
Greiner, Günther
Hornegger, Joachim
Niemann, Heinrich
Stamminger, Marc		dblp
dblp
dblp
dblp
Not MPII Editor(s):
Greiner, Günther
Hornegger, Joachim
Niemann, Heinrich
Stamminger, Marc
BibTeX cite key*:
LangerVMV05
Title, Booktitle
Title*:
Exact and Approximate Quadratures for Curvature Tensor Estimation
Torsten_Langer.pdf (433.68 KB)
Booktitle*:
Vision, Modeling, and Visualization 2005 (VMV'05)
Event, URLs
Conference URL::
http://www.vmv2005.uni-erlangen.de
Downloading URL:
Event Address*:
Erlangen, Germany
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
16 November 2005
Event End Date:
18 November 2005
Publisher
Name*:
Aka
URL:
http://www.aka-verlag.de
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
November
Pages:
421-428
Year*:
2005
VG Wort Pages:
ISBN/ISSN:
3-89838-068-8
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
Accurate estimations of geometric properties of a surface from
its discrete approximation are important for many computer graphics and
geometric modeling applications.
In this paper,
we derive exact quadrature formulae for mean curvature,
Gaussian curvature, and the Taubin integral representation of the curvature tensor.
The exact quadratures are then used to obtain reliable estimates
of the curvature tensor of a smooth surface approximated by a dense triangle
mesh. The proposed method is fast and
easy to implement. It is highly competitive with
conventional curvature tensor estimation approaches.

Additionally, we show that the curvature tensor approximated as proposed by us
converges towards the true curvature tensor as the edge lengths tend to zero.
Keywords:
Curvature, Mean curvature, Gaussian curvature, Discretization, Convergence
Copyright Message:
Copyright: the editors of Vision, Modeling, and Visualization 2005
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:

@INPROCEEDINGS{LangerVMV05,
AUTHOR = {Langer, Torsten and Belyaev, Alexander and Seidel, Hans-Peter},
 EDITOR = {Greiner, G{\"u}nther and Hornegger, Joachim and Niemann, Heinrich and Stamminger, Marc},
 TITLE = {Exact and Approximate Quadratures for Curvature Tensor Estimation},
 BOOKTITLE = {Vision, Modeling, and Visualization 2005 (VMV'05)},
 PUBLISHER = {Aka},
 YEAR = {2005},
 PAGES = {421--428},
 ADDRESS = {Erlangen, Germany},
 MONTH = {November},
 ISBN = {3-89838-068-8},
}

Entry last modified by Christine Kiesel, 04/16/2006
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Editor(s)
Torsten Langer		Created
11/22/2005 12:05:39
Revisions
3.
2.
1.
0.
Editor(s)
Christine Kiesel
Christine Kiesel
Christine Kiesel
Torsten Langer
Edit Dates
16.04.2006 19:23:06
16.01.2006 15:27:01
12.01.2006 13:34:38
11/22/2005 12:05:39 PM

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