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  A Fast and Simple Stretch-minimizing Mesh Parameterization

Yoshizawa, S., Belyaev, A., & Seidel, H.-P. (2004). A Fast and Simple Stretch-minimizing Mesh Parameterization. In F. Giannini, & A. Pasko (Eds.), Shape Modeling International 2004 (SMI 2004) (pp. 200-208). Los Alamitos, USA: IEEE.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-29D4-8 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-19CF-D
Genre: Conference Paper

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© IEEE, 2004. This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in 10.1109/SMI.2004.1314507.
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 Creators:
Yoshizawa, Shin1, Author           
Belyaev, Alexander1, Author           
Seidel, Hans-Peter1, Author                 
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Abstract: We propose a fast and simple method for generating a low-stretch
mesh parameterization. Given a triangle mesh, we start from
the Floater shape preserving parameterization and then
improve the parameterization gradually. At each improvement step,
we optimize the parameterization generated at the previous step
by minimizing a weighted quadratic energy where the weights
are chosen in order to minimize the parameterization stretch.
This optimization procedure does not generate triangle
flips if the boundary of the parameter domain is a convex polygon.
Moreover already the first optimization step produces a high-quality mesh
parameterization. We compare our parameterization procedure with
several state-of-art mesh parameterization methods and demonstrate
its speed and high efficiency in parameterizing large and geometrically
complex models.

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Language(s): eng - English
 Dates: 2005-04-272004
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 231369
Other: Local-ID: C125675300671F7B-EDF96A612555FA3BC1256F7F003B0FBE-Yoshizawa2004
DOI: 10.1109/SMI.2004.1314507
BibTex Citekey: Yoshizawa-et-al_SMI04
 Degree: -

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Title: 2004 International Conference on Shape Modeling and Applications
Place of Event: Genova, Italy
Start-/End Date: 2004-06-07 - 2004-06-09

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Title: Shape Modeling International 2004 (SMI 2004)
  Abbreviation : SMI 2004
Source Genre: Proceedings
 Creator(s):
Giannini, Franca1, Editor
Pasko, Alexander1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Los Alamitos, USA : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 200 - 208 Identifier: ISBN: 0-7695-2075