<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01318763</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-18T06:48:41+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">A 3D+t Laplace operator for temporal mesh sequences</title>
            <author role="aut">
              <persName>
                <forename type="first">Victoria</forename>
                <surname>Fernández Abrevaya</surname>
              </persName>
              <email type="md5">eb8601a2e14891781e68b8e9c2a6109f</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">victoria-fernandez-abrevaya</idno>
              <idno type="idhal" notation="numeric">9950</idno>
              <idno type="halauthorid" notation="string">30083-9950</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-9829-4929</idno>
              <idno type="IDREF">https://www.idref.fr/25376081X</idno>
              <affiliation ref="#struct-131288"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Sandeep</forename>
                <surname>Manandhar</surname>
              </persName>
              <idno type="halauthorid">1029429-0</idno>
              <affiliation ref="#struct-300270"/>
              <affiliation ref="#struct-1042488"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Franck</forename>
                <surname>Hétroy-Wheeler</surname>
              </persName>
              <email type="md5">8cd0c9d6ba1887dfec4a0d3a2cda75c0</email>
              <email type="domain">unistra.fr</email>
              <idno type="idhal" notation="string">fhw</idno>
              <idno type="idhal" notation="numeric">4428</idno>
              <idno type="halauthorid" notation="string">931255-4428</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-7200-9256</idno>
              <idno type="IDREF">https://www.idref.fr/077159055</idno>
              <affiliation ref="#struct-1042488"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Stefanie</forename>
                <surname>Wuhrer</surname>
              </persName>
              <email type="md5">d78d457d40379d587b0a545ec44ca989</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">stefanie-wuhrer</idno>
              <idno type="idhal" notation="numeric">3317</idno>
              <idno type="halauthorid" notation="string">20287-3317</idno>
              <idno type="IDREF">https://www.idref.fr/223468274</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-8085-5479</idno>
              <affiliation ref="#struct-1042488"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Franck</forename>
                <surname>Hétroy-Wheeler</surname>
              </persName>
              <email type="md5">8cd0c9d6ba1887dfec4a0d3a2cda75c0</email>
              <email type="domain">unistra.fr</email>
            </editor>
            <funder ref="#projanr-32342"/>
            <funder>Inria internship</funder>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2016-05-19 22:23:45</date>
              <date type="whenWritten">2016</date>
              <date type="whenModified">2025-09-27 19:47:44</date>
              <date type="whenReleased">2020-10-01 18:42:50</date>
              <date type="whenProduced">2016-08</date>
              <date type="whenEndEmbargoed">2016-05-19</date>
              <ref type="file" target="https://inria.hal.science/hal-01318763v1/document">
                <date notBefore="2016-05-19"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-01318763v1/file/4Dlaplacian%20%281%29.pdf" id="file-2953300-2600835">
                <date notBefore="2016-05-19"/>
              </ref>
              <ref type="annex" subtype="figure" n="1" target="https://inria.hal.science/hal-01318763v1/file/kick-alpha-10%20%281%29.png" id="file-2953300-2600836">
                <date notBefore="2016-05-19"/>
              </ref>
              <ref type="annex" subtype="video" n="0" target="https://inria.hal.science/hal-01318763v1/file/3D%2BtLaplace%20%281%29.mp4" id="file-2953300-2600837">
                <date notBefore="2016-05-19"/>
              </ref>
              <ref type="annex" subtype="other" n="0" target="https://inria.hal.science/hal-01318763v1/file/3DtLaplace.zip" id="file-2953300-2600838">
                <date notBefore="2020-09-30"/>
                <desc>Source code that allows reproducing the results of the paper.</desc>
              </ref>
              <ref type="externalLink" target="https://hal.inria.fr/hal-01318763/file/4Dlaplacian%20%281%29.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="109345">
                <persName>
                  <forename>Franck</forename>
                  <surname>Hétroy-Wheeler</surname>
                </persName>
                <email type="md5">8cd0c9d6ba1887dfec4a0d3a2cda75c0</email>
                <email type="domain">unistra.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01318763</idno>
            <idno type="halUri">https://inria.hal.science/hal-01318763</idno>
            <idno type="halBibtex">fernandezabrevaya:hal-01318763</idno>
            <idno type="halRefHtml">&lt;i&gt;Computers and Graphics&lt;/i&gt;, 2016, Shape Modeling International 2016, 58, pp.12-22. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.cag.2016.05.018"&gt;&amp;#x27E8;10.1016/j.cag.2016.05.018&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Computers and Graphics, 2016, Shape Modeling International 2016, 58, pp.12-22. &amp;#x27E8;10.1016/j.cag.2016.05.018&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-2953300-2600835"/><ref corresp="#file-2953300-2600836"/><ref corresp="#file-2953300-2600837"/><ref corresp="#file-2953300-2600838"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-BOURGOGNE">Université Bourgogne Europe</idno>
            <idno type="stamp" n="UGA">HAL Grenoble Alpes</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INPG">Institut polytechnique de Grenoble</idno>
            <idno type="stamp" n="INRIA-RHA">INRIA Grenoble - Rhône-Alpes</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="LJK">Laboratoire Jean Kuntzmann</idno>
            <idno type="stamp" n="LJK_GI" corresp="LJK">Département Géométrie et Images</idno>
            <idno type="stamp" n="LJK_GI_MORPHEO" corresp="LJK_GI">MORPHEO</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="UGA-COMUE">Université Grenoble Alpes [2016-2019]</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="INRIAARTDOI">INRIAARTDOI</idno>
            <idno type="stamp" n="TEST-UGA">TEST-UGA</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">A 3D+t Laplace operator for temporal mesh sequences</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Victoria</forename>
                    <surname>Fernández Abrevaya</surname>
                  </persName>
                  <email type="md5">eb8601a2e14891781e68b8e9c2a6109f</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">victoria-fernandez-abrevaya</idno>
                  <idno type="idhal" notation="numeric">9950</idno>
                  <idno type="halauthorid" notation="string">30083-9950</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-9829-4929</idno>
                  <idno type="IDREF">https://www.idref.fr/25376081X</idno>
                  <affiliation ref="#struct-131288"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Sandeep</forename>
                    <surname>Manandhar</surname>
                  </persName>
                  <idno type="halauthorid">1029429-0</idno>
                  <affiliation ref="#struct-300270"/>
                  <affiliation ref="#struct-1042488"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Franck</forename>
                    <surname>Hétroy-Wheeler</surname>
                  </persName>
                  <email type="md5">8cd0c9d6ba1887dfec4a0d3a2cda75c0</email>
                  <email type="domain">unistra.fr</email>
                  <idno type="idhal" notation="string">fhw</idno>
                  <idno type="idhal" notation="numeric">4428</idno>
                  <idno type="halauthorid" notation="string">931255-4428</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-7200-9256</idno>
                  <idno type="IDREF">https://www.idref.fr/077159055</idno>
                  <affiliation ref="#struct-1042488"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Stefanie</forename>
                    <surname>Wuhrer</surname>
                  </persName>
                  <email type="md5">d78d457d40379d587b0a545ec44ca989</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">stefanie-wuhrer</idno>
                  <idno type="idhal" notation="numeric">3317</idno>
                  <idno type="halauthorid" notation="string">20287-3317</idno>
                  <idno type="IDREF">https://www.idref.fr/223468274</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-8085-5479</idno>
                  <affiliation ref="#struct-1042488"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">12048</idno>
                <idno type="issn">0097-8493</idno>
                <title level="j">Computers and Graphics</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="serie">Shape Modeling International 2016</biblScope>
                  <biblScope unit="volume">58</biblScope>
                  <biblScope unit="pp">12-22</biblScope>
                  <date type="datePub">2016-08</date>
                  <date type="dateEpub">2016-05</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.cag.2016.05.018</idno>
              <ref type="publisher">http://www.sciencedirect.com/science/article/pii/S0097849316300619</ref>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">discrete exterior calculus</term>
                <term xml:lang="en">mesh animation</term>
                <term xml:lang="en">Laplace operator</term>
              </keywords>
              <classCode scheme="acm" n="I.3.5">I.: Computing Methodologies/I.3: COMPUTER GRAPHICS/I.3.5: Computational Geometry and Object Modeling</classCode>
              <classCode scheme="halDomain" n="info.info-gr">Computer Science [cs]/Graphics [cs.GR]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>The Laplace operator plays a fundamental role in geometry processing. Several discrete versions have been proposed for 3D meshes and point clouds, among others. We define here a discrete Laplace operator for temporally coherent mesh sequences, which allows to process mesh animations in a simple yet efficient way. This operator is a discretization of the Laplace-Beltrami operator using Discrete Exterior Calculus on CW complexes embedded in a four-dimensional space. A parameter is introduced to tune the influence of the motion with respect to the geometry. This enables straightforward generalization of existing Laplacian static mesh processing works to mesh sequences. An application to spacetime editing is provided as example.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-131288" status="VALID">
          <idno type="ROR">https://ror.org/0081fs513</idno>
          <orgName>Universidad de Buenos Aires [Buenos Aires]</orgName>
          <orgName type="acronym">UBA</orgName>
          <desc>
            <address>
              <addrLine>Viamonte 430/44 C1053ABJ,  Ciudad de Buenos Aires</addrLine>
              <country key="AR"/>
            </address>
            <ref type="url">http://www.uba.ar/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300270" status="OLD">
          <idno type="IdRef">02819005X</idno>
          <idno type="ISNI">0000000122989313</idno>
          <idno type="ROR">https://ror.org/03k1bsr36</idno>
          <orgName>Université de Bourgogne</orgName>
          <orgName type="acronym">UB</orgName>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>Maison de l'université - Esplanade Érasme - BP 27877 - 21078 Dijon cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-bourgogne.fr/</ref>
          </desc>
        </org>
        <org type="researchteam" xml:id="struct-1042488" status="OLD">
          <idno type="IdRef">177983655</idno>
          <idno type="RNSR">201120981M</idno>
          <orgName>Capture and Analysis of Shapes in Motion</orgName>
          <orgName type="acronym">MORPHEO</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>INRIA Grenoble Rhône-Alpes 655, avenue de l'Europe 38334 Saint Ismier Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/morpheo</ref>
          </desc>
          <listRelation>
            <relation active="#struct-2497" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-89889" type="direct"/>
            <relation active="#struct-1042161" type="direct"/>
            <relation name="UMR5224" active="#struct-441569" type="indirect"/>
            <relation active="#struct-445543" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-2497" status="VALID">
          <idno type="RNSR">199218244V</idno>
          <idno type="ROR">https://ror.org/00n8d6z93</idno>
          <orgName>Centre Inria de l'Université Grenoble Alpes</orgName>
          <desc>
            <address>
              <addrLine>Inovallée655 avenue de l'Europe38330 Montbonnot</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/grenoble</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <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"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-89889" status="OLD">
          <idno type="IdRef">026388804</idno>
          <idno type="ROR">https://ror.org/05sbt2524</idno>
          <orgName>Institut polytechnique de Grenoble - Grenoble Institute of Technology</orgName>
          <orgName type="acronym">Grenoble INP</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>46 avenue Félix Viallet 38031 Grenoble Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.grenoble-inp.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-1042161" status="OLD">
          <idno type="IdRef">184945011</idno>
          <idno type="ISNI">000000040383676X</idno>
          <idno type="RNSR">200711891Z</idno>
          <idno type="ROR">https://ror.org/04ett5b41</idno>
          <orgName>Laboratoire Jean Kuntzmann</orgName>
          <orgName type="acronym">LJK</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Bâtiment IMAG, CS 40700, F-38058 Grenoble Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://ljk.imag.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-89889" type="direct"/>
            <relation active="#struct-300009" type="direct"/>
            <relation name="UMR5224" active="#struct-441569" type="direct"/>
            <relation active="#struct-445543" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</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"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-445543" status="OLD">
          <idno type="IdRef">188399275</idno>
          <idno type="ROR">https://ror.org/02rx3b187</idno>
          <orgName>Université Grenoble Alpes [2016-2019]</orgName>
          <orgName type="acronym">UGA [2016-2019]</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>38058 Grenoble cedex</addrLine>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-32342" status="VALID">
          <idno type="anr">ANR-10-BLAN-0206</idno>
          <idno type="program">BLANC</idno>
          <orgName>Morpho</orgName>
          <desc>Analyse des formes humaines et de leurs mouvements</desc>
          <date type="start">2010</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>