<?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-00360795</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="2026-05-25T11:25:31+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Texture Synthesis with Grouplets</title>
            <author role="aut">
              <persName>
                <forename type="first">Gabriel</forename>
                <surname>Peyré</surname>
              </persName>
              <email type="md5">8f7426d5d9183245fe9b02d1e972a597</email>
              <email type="domain">ens.fr</email>
              <idno type="idhal" notation="string">gpeyre</idno>
              <idno type="idhal" notation="numeric">1211</idno>
              <idno type="halauthorid" notation="string">31235-1211</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-4477-0387</idno>
              <idno type="IDREF">https://www.idref.fr/077078128</idno>
              <idno type="VIAF">https://viaf.org/viaf/39616547</idno>
              <idno type="ISNI">http://isni.org/isni/000000011625330X</idno>
              <affiliation ref="#struct-60"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Gabriel</forename>
                <surname>Peyré</surname>
              </persName>
              <email type="md5">8f7426d5d9183245fe9b02d1e972a597</email>
              <email type="domain">ens.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2009-02-12 01:37:45</date>
              <date type="whenWritten">2007</date>
              <date type="whenModified">2025-06-13 11:20:02</date>
              <date type="whenReleased">2009-02-13 11:13:36</date>
              <date type="whenProduced">2009</date>
              <date type="whenEndEmbargoed">2009-02-12</date>
              <ref type="file" target="https://hal.science/hal-00360795v1/document">
                <date notBefore="2009-02-12"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00360795v1/file/PeyreGroupletsSynthesis.pdf" id="file-360795-433514">
                <date notBefore="2009-02-12"/>
              </ref>
              <ref type="externalLink" target="http://hal.archives-ouvertes.fr/docs/00/36/07/95/PDF/PeyreGroupletsSynthesis.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="137254">
                <persName>
                  <forename>Gabriel</forename>
                  <surname>Peyré</surname>
                </persName>
                <email type="md5">8f7426d5d9183245fe9b02d1e972a597</email>
                <email type="domain">ens.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00360795</idno>
            <idno type="halUri">https://hal.science/hal-00360795</idno>
            <idno type="halBibtex">peyre:hal-00360795</idno>
            <idno type="halRefHtml">&lt;i&gt;IEEE Transactions on Pattern Analysis and Machine Intelligence&lt;/i&gt;, 2009, 32 (4), pp.733-746. &lt;a target="_blank" href="https://dx.doi.org/10.1109/TPAMI.2009.54"&gt;&amp;#x27E8;10.1109/TPAMI.2009.54&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">IEEE Transactions on Pattern Analysis and Machine Intelligence, 2009, 32 (4), pp.733-746. &amp;#x27E8;10.1109/TPAMI.2009.54&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-360795-433514"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-DAUPHINE">Université Paris Dauphine - Paris IX</idno>
            <idno type="stamp" n="CEREMADE" corresp="UNIV-DAUPHINE">CEntre de REcherches en MAthématiques de la DEcision</idno>
            <idno type="stamp" n="PSL">Université Paris sciences et lettres</idno>
            <idno type="stamp" n="UNIV-DAUPHINE-PSL" corresp="PSL">Université Paris Dauphine - PSL</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">Texture Synthesis with Grouplets</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Gabriel</forename>
                    <surname>Peyré</surname>
                  </persName>
                  <email type="md5">8f7426d5d9183245fe9b02d1e972a597</email>
                  <email type="domain">ens.fr</email>
                  <idno type="idhal" notation="string">gpeyre</idno>
                  <idno type="idhal" notation="numeric">1211</idno>
                  <idno type="halauthorid" notation="string">31235-1211</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-4477-0387</idno>
                  <idno type="IDREF">https://www.idref.fr/077078128</idno>
                  <idno type="VIAF">https://viaf.org/viaf/39616547</idno>
                  <idno type="ISNI">http://isni.org/isni/000000011625330X</idno>
                  <affiliation ref="#struct-60"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">5390</idno>
                <idno type="issn">0162-8828</idno>
                <title level="j">IEEE Transactions on Pattern Analysis and Machine Intelligence</title>
                <imprint>
                  <publisher>Institute of Electrical and Electronics Engineers</publisher>
                  <biblScope unit="volume">32</biblScope>
                  <biblScope unit="issue">4</biblScope>
                  <biblScope unit="pp">733-746</biblScope>
                  <date type="datePub">2009</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1109/TPAMI.2009.54</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">inpainting</term>
                <term xml:lang="en">Texture</term>
                <term xml:lang="en">grouplets</term>
                <term xml:lang="en">texture synthesis</term>
                <term xml:lang="en">inpainting.</term>
              </keywords>
              <classCode scheme="halDomain" n="info.info-ts">Computer Science [cs]/Signal and Image Processing</classCode>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</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>This paper proposes a new method to synthesize and inpaint geometric textures. The texture model is composed of a geometric layer that drives the computation of a new grouplet transform. The geometry is an orientation flow that follows the patterns of the texture to analyze or synthesize. The grouplet transform extends the original construction of Mallat and is adapted to the modeling of natural textures. Each grouplet atoms is an elongated stroke located along the geometric flow. These atoms exhibit a wide range of lengths and widths, which is important to match the variety of structures present in natural images. Statistical modeling and sparsity optimization over these grouplet coefficients enable the synthesis of texture patterns along the flow. This article explores texture inpainting and texture synthesis, which both require the joint optimization of the geometric flow and the grouplet coefficients.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-60" status="VALID">
          <idno type="IdRef">088064239</idno>
          <idno type="ISNI">0000 0004 0645 4046</idno>
          <idno type="RNSR">199712592E</idno>
          <idno type="ROR">https://ror.org/03s0gj002</idno>
          <idno type="Wikidata">Q2913547</idno>
          <orgName>CEntre de REcherches en MAthématiques de la DEcision</orgName>
          <orgName type="acronym">CEREMADE</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>Place du Maréchal de Lattre de Tassigny 75775 - Paris Cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ceremade.dauphine.fr/index.html</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300302" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation name="UMR7534 / URA749" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300302" status="VALID">
          <idno type="IdRef">027787109</idno>
          <idno type="ISNI">0000000120977052</idno>
          <idno type="ROR">https://ror.org/052bz7812</idno>
          <idno type="Wikidata">Q1546437</idno>
          <orgName>Université Paris Dauphine-PSL</orgName>
          <desc>
            <address>
              <addrLine>Place du Maréchal de Lattre de Tassigny75775 PARIS Cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://dauphine.psl.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-564132" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-564132" status="VALID">
          <idno type="IdRef">241597595</idno>
          <idno type="ISNI">0000 0004 1784 3645</idno>
          <idno type="ROR">https://ror.org/013cjyk83</idno>
          <orgName>Université Paris Sciences et Lettres</orgName>
          <orgName type="acronym">PSL</orgName>
          <desc>
            <address>
              <addrLine>60 rue Mazarine 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.psl.eu/</ref>
          </desc>
        </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>
      </listOrg>
    </back>
  </text>
</TEI>