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Author, Editor

Author(s):

Zayer, Rhaleb
Rössl, Christian
Seidel, Hans-Peter

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Editor(s):





BibTeX Citekey*:

Rhaleb2004

Language:

English

Title, Institution

Title*:

r-Adaptive Parameterization of Surfaces

Institution*:

Max-Planck-Institut für Informatik

Publishers or Institutions Address*:

Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany

Type:

Research Report

No, Year, pp.,

Number*:

MPI-I-2004-4-004

Pages*:

16

Month:

June

VG Wort
Pages*:


Year*:

2004

ISBN/ISSN:

0946-011X





DOI:




Note, Abstract, ©

Note:


(LaTeX) Abstract:

Surface mesh parameterization is a fundamental tool in
computer graphics, required for applications like e.g. texture mapping,
remeshing and morphing. Linear parameterization methods are of particular
interest. Their simplicity, efficiency and robustness, enables the
processing of detailed, large meshes. In practice, however,
the current linear schemes are limited to producing (quasi-)conformal
parameterizations and hence may suffer from considerable distortion e.g.
in length and area.
We present a novel approach to effectively reduce parametric
distortion. Our algorithm is simple, efficient and robust, as it
requires only the solution of a sparse linear system.
We smoothly adapt an existing quasi-conformal parameterization with
respect to different flow quantities such as areas, angles or edge
lengths. Our adaptive strategy offers a flexible means for
controlling distortion based on error equidistribution.
We show how this method can be extended from the planar setting to
spherical parameterizations, a problem which recently attracted a
lot of interest.

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Copyright Message:


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Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Audience:

Expert

Appearance:

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BibTeX Entry:
@TECHREPORT{Rhaleb2004,
AUTHOR = {Zayer, Rhaleb and R{\"o}ssl, Christian and Seidel, Hans-Peter},
TITLE = {r-Adaptive Parameterization of Surfaces},
PUBLISHER = {AG 4 - Seidel},
YEAR = {2004},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut für Informatik},
NUMBER = {MPI-I-2004-4-004},
PAGES = {16},
ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
MONTH = {June},
ISBN = {0946-011X},
}


Entry last modified by Christine Kiesel, 03/12/2010
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Created
08/12/2005 11:24:37 AM
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Editor
Christine Kiesel



Edit Date
12.08.2005 11:31:42



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