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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 Shape Modeling International 2004 (SMI 2004) (pp. 200-208). Los Alamitos, USA: IEEE.

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 Creators:
Yoshizawa, Shin1, Author           
Belyaev, Alexander1, Author           
Seidel, Hans-Peter1, Author           
Giannini, Franca, Editor
Pasko, Alexander, Editor
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: Los Alamitos, USA : IEEE
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 231369
Other: Local-ID: C125675300671F7B-EDF96A612555FA3BC1256F7F003B0FBE-Yoshizawa2004
 Degree: -

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Title: Untitled Event
Place of Event: Genova, Italy
Start-/End Date: 2004-06-07

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