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Author, Editor

Author(s):

Langer, Torsten
Belyaev, Alexander
Seidel, Hans-Peter

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Editor(s):

Greiner, Günther
Hornegger, Joachim
Niemann, Heinrich
Stamminger, Marc

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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

URL of the conference:

http://www.vmv2005.uni-erlangen.de

URL for downloading the paper:


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 PM
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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