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@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Zayer, Rhaleb
Lévy, Bruno
Seidel, Hans-Peter		dblp
dblp
dblp
Not MPG Author(s):
Lévy, Bruno
Editor(s):
Belyaev, Alexander
Garland, Michael		dblp
dblp
Not MPII Editor(s):
Garland, Michael
BibTeX cite key*:
zls:linabp:07
Title, Booktitle
Title*:
Linear Angle Based Parameterization
linabp.pdf (15520.13 KB)
Booktitle*:
Symposium on Geometry Processing
Event, URLs
Conference URL::
http://www.geometryprocessing.org/
Downloading URL:
http://diglib.eg.org/
Event Address*:
Barcelona, Spain
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
4 July 2007
Event End Date:
6 July 2007
Publisher
Name*:
Eurographics/ACM
URL:
http://diglib.eg.org/
Address*:
Aire-la-Ville, Switzerland
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
Pages:
135-141
Year*:
2007
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
In the field of mesh parameterization, the impact of angular and boundary distortion on parameterization quality have brought forward the need for robust and efficient free boundary angle preserving methods. One of the most prominent approaches in this direction is the Angle Based Flattening (ABF) which directly formulates the problem as a constrained nonlinear optimization in terms of angles. Since the original formulation of the ABF, a steady research effort has been dedicated to improving its efficiency. As for any well posed numerical problem, the solution is generally an approximation of the underlying mathematical equations. The economy and accuracy of the solution are to a great extent affected by the kind of approximation used. In this work we reformulate the problem based on the notion of error of estimation. A careful manipulation of the resulting equations yields for the first time a linear version of angle based parameterization. The error induced by this linearization is quadratic in terms of the error in angles and the validity of the approximation is further supported by numerical results. Besides performance speedup, the simplicity of the current setup makes re-implementation and reproduction of our results straightforward.
Copyright Message:
The current file is a preliminary version of the article. Please find the definite version in the proceedings of the ACM/EG Symposium on Geometry Processing 2007 (SGP '07). The definite electronic version is available online at diglib.eg.org.
Download
Access Level:
Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Computer Graphics Group
Audience:
not specified
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{zls:linabp:07,
AUTHOR = {Zayer, Rhaleb and L{\'e}vy, Bruno and Seidel, Hans-Peter},
 EDITOR = {Belyaev, Alexander and Garland, Michael},
 TITLE = {Linear Angle Based Parameterization},
 BOOKTITLE = {Symposium on Geometry Processing},
 PUBLISHER = {Eurographics/ACM},
 YEAR = {2007},
 PAGES = {135--141},
 ADDRESS = {Barcelona, Spain},
}

Entry last modified by Rhaleb Zayer, 09/21/2009
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Editor(s)
Rhaleb Zayer		Created
06/08/2007 13:04:50
Revisions
4.
3.
2.
1.
0.		Editor(s)
Rhaleb Zayer
Rhaleb Zayer
Rhaleb Zayer
Rhaleb Zayer
Rhaleb Zayer		Edit Dates
01/07/2008 04:46:27 PM
06/08/2007 01:15:19 PM
06/08/2007 01:11:52 PM
06/08/2007 01:09:51 PM
06/08/2007 01:04:52 PM

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