Obtuse triangle suppression in anisotropic meshes
Identifieur interne : 002509 ( Main/Exploration ); précédent : 002508; suivant : 002510Obtuse triangle suppression in anisotropic meshes
Auteurs : Feng Sun [Hong Kong] ; Yi-King Choi [Hong Kong] ; Wenping Wang [Hong Kong] ; Dong-Ming Yan [Hong Kong] ; Yang Liu [France] ; Bruno Lévy [France]Source :
- Computer Aided Geometric Design [ 0167-8396 ] ; 2011.
Abstract
Anisotropic triangle meshes are used for efficient approximation of surfaces and flow data in finite element analysis, and in these applications it is desirable to have as few obtuse triangles as possible to reduce the discretization error. We present a variational approach to suppressing obtuse triangles in anisotropic meshes. Specifically, we introduce a hexagonal Minkowski metric, which is sensitive to triangle orientation, to give a new formulation of the centroidal Voronoi tessellation (CVT) method. Furthermore, we prove several relevant properties of the CVT method with the newly introduced metric. Experiments show that our algorithm produces anisotropic meshes with much fewer obtuse triangles than using existing methods while maintaining mesh anisotropy
Url:
DOI: 10.1016/j.cagd.2011.09.007
Affiliations:
- France, Hong Kong
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
Links toward previous steps (curation, corpus...)
- to stream Hal, to step Corpus: 003655
- to stream Hal, to step Curation: 003655
- to stream Hal, to step Checkpoint: 002032
- to stream Main, to step Merge: 002554
- to stream Main, to step Curation: 002509
Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Obtuse triangle suppression in anisotropic meshes</title>
<author><name sortKey="Sun, Feng" sort="Sun, Feng" uniqKey="Sun F" first="Feng" last="Sun">Feng Sun</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-32772" type="direct"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Choi, Yi King" sort="Choi, Yi King" uniqKey="Choi Y" first="Yi-King" last="Choi">Yi-King Choi</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-395318" status="INCOMING"><orgName>Computer Graphics Group</orgName>
<desc><address><country key="HK"></country>
</address>
</desc>
<listRelation><relation active="#struct-184781" type="direct"></relation>
<relation active="#struct-32772" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-184781" type="direct"><org type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-32772" type="indirect"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Wang, Wenping" sort="Wang, Wenping" uniqKey="Wang W" first="Wenping" last="Wang">Wenping Wang</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-32772" type="direct"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Yan, Dong Ming" sort="Yan, Dong Ming" uniqKey="Yan D" first="Dong-Ming" last="Yan">Dong-Ming Yan</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-32772" type="direct"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Liu, Yang" sort="Liu, Yang" uniqKey="Liu Y" first="Yang" last="Liu">Yang Liu</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-3174" status="OLD"><idno type="RNSR">200618296R</idno>
<orgName>Geometry and Lighting</orgName>
<orgName type="acronym">ALICE</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/alice</ref>
</desc>
<listRelation><relation active="#struct-160" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300291" type="indirect"></relation>
<relation active="#struct-300292" type="indirect"></relation>
<relation active="#struct-300293" type="indirect"></relation>
<relation active="#struct-2496" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-160" type="direct"><org type="laboratory" xml:id="struct-160" status="OLD"><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="indirect"><org type="institution" xml:id="struct-300291" status="OLD"><orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="indirect"><org type="institution" xml:id="struct-300292" status="OLD"><orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="indirect"><org type="institution" xml:id="struct-300293" status="OLD"><orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-2496" type="direct"><org type="laboratory" xml:id="struct-2496" status="OLD"><orgName>INRIA Lorraine</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Levy, Bruno" sort="Levy, Bruno" uniqKey="Levy B" first="Bruno" last="Lévy">Bruno Lévy</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-3174" status="OLD"><idno type="RNSR">200618296R</idno>
<orgName>Geometry and Lighting</orgName>
<orgName type="acronym">ALICE</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/alice</ref>
</desc>
<listRelation><relation active="#struct-160" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300291" type="indirect"></relation>
<relation active="#struct-300292" type="indirect"></relation>
<relation active="#struct-300293" type="indirect"></relation>
<relation active="#struct-2496" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-160" type="direct"><org type="laboratory" xml:id="struct-160" status="OLD"><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="indirect"><org type="institution" xml:id="struct-300291" status="OLD"><orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="indirect"><org type="institution" xml:id="struct-300292" status="OLD"><orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="indirect"><org type="institution" xml:id="struct-300293" status="OLD"><orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-2496" type="direct"><org type="laboratory" xml:id="struct-2496" status="OLD"><orgName>INRIA Lorraine</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-00763324</idno>
<idno type="halId">hal-00763324</idno>
<idno type="halUri">https://hal.inria.fr/hal-00763324</idno>
<idno type="url">https://hal.inria.fr/hal-00763324</idno>
<idno type="doi">10.1016/j.cagd.2011.09.007</idno>
<date when="2011">2011</date>
<idno type="wicri:Area/Hal/Corpus">003655</idno>
<idno type="wicri:Area/Hal/Curation">003655</idno>
<idno type="wicri:Area/Hal/Checkpoint">002032</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">002032</idno>
<idno type="wicri:doubleKey">0167-8396:2011:Sun F:obtuse:triangle:suppression</idno>
<idno type="wicri:Area/Main/Merge">002554</idno>
<idno type="wicri:Area/Main/Curation">002509</idno>
<idno type="wicri:Area/Main/Exploration">002509</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Obtuse triangle suppression in anisotropic meshes</title>
<author><name sortKey="Sun, Feng" sort="Sun, Feng" uniqKey="Sun F" first="Feng" last="Sun">Feng Sun</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-32772" type="direct"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Choi, Yi King" sort="Choi, Yi King" uniqKey="Choi Y" first="Yi-King" last="Choi">Yi-King Choi</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-395318" status="INCOMING"><orgName>Computer Graphics Group</orgName>
<desc><address><country key="HK"></country>
</address>
</desc>
<listRelation><relation active="#struct-184781" type="direct"></relation>
<relation active="#struct-32772" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-184781" type="direct"><org type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-32772" type="indirect"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Wang, Wenping" sort="Wang, Wenping" uniqKey="Wang W" first="Wenping" last="Wang">Wenping Wang</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-32772" type="direct"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Yan, Dong Ming" sort="Yan, Dong Ming" uniqKey="Yan D" first="Dong-Ming" last="Yan">Dong-Ming Yan</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-184781" status="VALID"><orgName>Department of Computer Science [Hong Kong]</orgName>
<desc><address><addrLine>Rm 301 Chow Yei Ching Building The University of Hong Kong Pokfulam Road, Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cs.hku.hk/index.jsp</ref>
</desc>
<listRelation><relation active="#struct-32772" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-32772" type="direct"><org type="institution" xml:id="struct-32772" status="VALID"><orgName>City University of Hong Kong [Hong Kong]</orgName>
<orgName type="acronym">CUHK</orgName>
<desc><address><addrLine>83 Tat Chee Avenue, Kowloon-Hong Kong</addrLine>
<country key="HK"></country>
</address>
<ref type="url">http://www.cityu.edu.hk/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Hong Kong</country>
</affiliation>
</author>
<author><name sortKey="Liu, Yang" sort="Liu, Yang" uniqKey="Liu Y" first="Yang" last="Liu">Yang Liu</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-3174" status="OLD"><idno type="RNSR">200618296R</idno>
<orgName>Geometry and Lighting</orgName>
<orgName type="acronym">ALICE</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/alice</ref>
</desc>
<listRelation><relation active="#struct-160" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300291" type="indirect"></relation>
<relation active="#struct-300292" type="indirect"></relation>
<relation active="#struct-300293" type="indirect"></relation>
<relation active="#struct-2496" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-160" type="direct"><org type="laboratory" xml:id="struct-160" status="OLD"><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="indirect"><org type="institution" xml:id="struct-300291" status="OLD"><orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="indirect"><org type="institution" xml:id="struct-300292" status="OLD"><orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="indirect"><org type="institution" xml:id="struct-300293" status="OLD"><orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-2496" type="direct"><org type="laboratory" xml:id="struct-2496" status="OLD"><orgName>INRIA Lorraine</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Levy, Bruno" sort="Levy, Bruno" uniqKey="Levy B" first="Bruno" last="Lévy">Bruno Lévy</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-3174" status="OLD"><idno type="RNSR">200618296R</idno>
<orgName>Geometry and Lighting</orgName>
<orgName type="acronym">ALICE</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/alice</ref>
</desc>
<listRelation><relation active="#struct-160" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300291" type="indirect"></relation>
<relation active="#struct-300292" type="indirect"></relation>
<relation active="#struct-300293" type="indirect"></relation>
<relation active="#struct-2496" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-160" type="direct"><org type="laboratory" xml:id="struct-160" status="OLD"><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="indirect"><org type="institution" xml:id="struct-300291" status="OLD"><orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="indirect"><org type="institution" xml:id="struct-300292" status="OLD"><orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc><address><addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="indirect"><org type="institution" xml:id="struct-300293" status="OLD"><orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-2496" type="direct"><org type="laboratory" xml:id="struct-2496" status="OLD"><orgName>INRIA Lorraine</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName><settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
</analytic>
<idno type="DOI">10.1016/j.cagd.2011.09.007</idno>
<series><title level="j">Computer Aided Geometric Design</title>
<idno type="ISSN">0167-8396</idno>
<imprint><date type="datePub">2011</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass></textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Anisotropic triangle meshes are used for efficient approximation of surfaces and flow data in finite element analysis, and in these applications it is desirable to have as few obtuse triangles as possible to reduce the discretization error. We present a variational approach to suppressing obtuse triangles in anisotropic meshes. Specifically, we introduce a hexagonal Minkowski metric, which is sensitive to triangle orientation, to give a new formulation of the centroidal Voronoi tessellation (CVT) method. Furthermore, we prove several relevant properties of the CVT method with the newly introduced metric. Experiments show that our algorithm produces anisotropic meshes with much fewer obtuse triangles than using existing methods while maintaining mesh anisotropy</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
<li>Hong Kong</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Nancy</li>
</settlement>
<orgName><li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="Hong Kong"><noRegion><name sortKey="Sun, Feng" sort="Sun, Feng" uniqKey="Sun F" first="Feng" last="Sun">Feng Sun</name>
</noRegion>
<name sortKey="Choi, Yi King" sort="Choi, Yi King" uniqKey="Choi Y" first="Yi-King" last="Choi">Yi-King Choi</name>
<name sortKey="Wang, Wenping" sort="Wang, Wenping" uniqKey="Wang W" first="Wenping" last="Wang">Wenping Wang</name>
<name sortKey="Yan, Dong Ming" sort="Yan, Dong Ming" uniqKey="Yan D" first="Dong-Ming" last="Yan">Dong-Ming Yan</name>
</country>
<country name="France"><region name="Grand Est"><name sortKey="Liu, Yang" sort="Liu, Yang" uniqKey="Liu Y" first="Yang" last="Liu">Yang Liu</name>
</region>
<name sortKey="Levy, Bruno" sort="Levy, Bruno" uniqKey="Levy B" first="Bruno" last="Lévy">Bruno Lévy</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002509 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002509 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Lorraine |area= InforLorV4 |flux= Main |étape= Exploration |type= RBID |clé= Hal:hal-00763324 |texte= Obtuse triangle suppression in anisotropic meshes }}
This area was generated with Dilib version V0.6.33. |