<?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-00794274v2</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="2026-05-25T01:00:33+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Image restoration using sparse approximations of spatially varying blur operators in the wavelet domain</title>
            <author role="aut">
              <persName>
                <forename type="first">Paul</forename>
                <surname>Escande</surname>
              </persName>
              <email type="md5">bafbd1ec490986d9e6b1305a63332aca</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">paul-escande</idno>
              <idno type="idhal" notation="numeric">184826</idno>
              <idno type="halauthorid" notation="string">15901-184826</idno>
              <idno type="IDREF">https://www.idref.fr/233516247</idno>
              <idno type="ORCID">https://orcid.org/0009-0008-2602-7937</idno>
              <affiliation ref="#struct-184934"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Pierre</forename>
                <surname>Weiss</surname>
              </persName>
              <email type="md5">86d50e3ce99d7eeb979c93bd6044cdc6</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">pierre-weiss</idno>
              <idno type="idhal" notation="numeric">3546</idno>
              <idno type="halauthorid" notation="string">53958-3546</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-9083-214X</idno>
              <idno type="IDREF">https://www.idref.fr/129563196</idno>
              <affiliation ref="#struct-398445"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">François</forename>
                <surname>Malgouyres</surname>
              </persName>
              <email type="md5">88d351dc84280ec58c927cae694a1bf7</email>
              <email type="domain">math.univ-toulouse.fr</email>
              <idno type="idhal" notation="string">francois-malgouyres</idno>
              <idno type="idhal" notation="numeric">12988</idno>
              <idno type="halauthorid" notation="string">25057-12988</idno>
              <idno type="IDREF">https://www.idref.fr/164520767</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1213-858X</idno>
              <affiliation ref="#struct-1954"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Paul</forename>
                <surname>Escande</surname>
              </persName>
              <email type="md5">bafbd1ec490986d9e6b1305a63332aca</email>
              <email type="domain">gmail.com</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1">
              <date type="whenSubmitted">2013-02-25 13:59:11</date>
            </edition>
            <edition n="v2" type="current">
              <date type="whenSubmitted">2013-05-30 19:24:58</date>
              <date type="whenWritten">2013-02-25</date>
              <date type="whenModified">2025-10-22 18:04:08</date>
              <date type="whenReleased">2013-05-30 21:04:50</date>
              <date type="whenProduced">2013</date>
              <date type="whenEndEmbargoed">2013-05-30</date>
              <ref type="file" target="https://hal.science/hal-00794274v2/document">
                <date notBefore="2013-05-30"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00794274v2/file/NCMIP_2013.pdf" id="file-828370-1088538">
                <date notBefore="2013-05-30"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/1302.6105"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="181116">
                <persName>
                  <forename>Paul</forename>
                  <surname>Escande</surname>
                </persName>
                <email type="md5">bafbd1ec490986d9e6b1305a63332aca</email>
                <email type="domain">gmail.com</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00794274</idno>
            <idno type="halUri">https://hal.science/hal-00794274</idno>
            <idno type="halBibtex">escande:hal-00794274</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Physics: Conference Series&lt;/i&gt;, 2013, vol. 464, &lt;a target="_blank" href="https://dx.doi.org/10.1088/1742-6596/464/1/012004"&gt;&amp;#x27E8;10.1088/1742-6596/464/1/012004&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Physics: Conference Series, 2013, vol. 464, &amp;#x27E8;10.1088/1742-6596/464/1/012004&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-828370-1088538"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-TLSE2">Université Toulouse 2</idno>
            <idno type="stamp" n="UNIV-TLSE3">Université de Toulouse</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INSA-TOULOUSE">Institut National des Sciences Appliquées de Toulouse</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="IMT">Institut de Mathématiques de Toulouse</idno>
            <idno type="stamp" n="UT1-CAPITOLE">Université Toulouse 1 Capitole</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="UNIV-UT3">Université Toulouse 3</idno>
            <idno type="stamp" n="UT3-INP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="UT3-TOULOUSEINP">Université de Toulouse / Toulouse INP</idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">6 pages</note>
            <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">Image restoration using sparse approximations of spatially varying blur operators in the wavelet domain</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Paul</forename>
                    <surname>Escande</surname>
                  </persName>
                  <email type="md5">bafbd1ec490986d9e6b1305a63332aca</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">paul-escande</idno>
                  <idno type="idhal" notation="numeric">184826</idno>
                  <idno type="halauthorid" notation="string">15901-184826</idno>
                  <idno type="IDREF">https://www.idref.fr/233516247</idno>
                  <idno type="ORCID">https://orcid.org/0009-0008-2602-7937</idno>
                  <affiliation ref="#struct-184934"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Pierre</forename>
                    <surname>Weiss</surname>
                  </persName>
                  <email type="md5">86d50e3ce99d7eeb979c93bd6044cdc6</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">pierre-weiss</idno>
                  <idno type="idhal" notation="numeric">3546</idno>
                  <idno type="halauthorid" notation="string">53958-3546</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-9083-214X</idno>
                  <idno type="IDREF">https://www.idref.fr/129563196</idno>
                  <affiliation ref="#struct-398445"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">François</forename>
                    <surname>Malgouyres</surname>
                  </persName>
                  <email type="md5">88d351dc84280ec58c927cae694a1bf7</email>
                  <email type="domain">math.univ-toulouse.fr</email>
                  <idno type="idhal" notation="string">francois-malgouyres</idno>
                  <idno type="idhal" notation="numeric">12988</idno>
                  <idno type="halauthorid" notation="string">25057-12988</idno>
                  <idno type="IDREF">https://www.idref.fr/164520767</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1213-858X</idno>
                  <affiliation ref="#struct-1954"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">1519</idno>
                <idno type="issn">1742-6588</idno>
                <idno type="eissn">1742-6596</idno>
                <title level="j">Journal of Physics: Conference Series</title>
                <imprint>
                  <publisher>IOP Science</publisher>
                  <biblScope unit="volume">vol. 464</biblScope>
                  <date type="datePub">2013</date>
                </imprint>
              </monogr>
              <idno type="arxiv">1302.6105</idno>
              <idno type="doi">10.1088/1742-6596/464/1/012004</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Deblurring</term>
                <term xml:lang="en">Integral operator</term>
                <term xml:lang="en">Spatially varying blur</term>
                <term xml:lang="en">Numerical analysis</term>
                <term xml:lang="en">Wavelet compression</term>
                <term xml:lang="en">Image restoration</term>
                <term xml:lang="en">Matrix approximation</term>
                <term xml:lang="en">Sparse approximation</term>
              </keywords>
              <classCode scheme="halDomain" n="info.info-ti">Computer Science [cs]/Image Processing [eess.IV]</classCode>
              <classCode scheme="halDomain" n="info.info-im">Computer Science [cs]/Medical Imaging</classCode>
              <classCode scheme="halDomain" n="info.info-mo">Computer Science [cs]/Modeling and Simulation</classCode>
              <classCode scheme="halDomain" n="math.math-oc">Mathematics [math]/Optimization and Control [math.OC]</classCode>
              <classCode scheme="halDomain" n="math.math-na">Mathematics [math]/Numerical Analysis [math.NA]</classCode>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</classCode>
              <classCode scheme="halDomain" n="info.info-ts">Computer Science [cs]/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>Restoration of images degraded by spatially varying blurs is an issue of increasing importance in the context of photography, satellite or microscopy imaging. One of the main difficulty to solve this problem comes from the huge dimensions of the blur matrix. It prevents the use of naive approaches for performing matrix-vector multiplications. In this paper, we propose to approximate the blur operator by a matrix sparse in the wavelet domain. We justify this approach from a mathematical point of view and investigate the approximation quality numerically. We finish by showing that the sparsity pattern of the matrix can be pre-defined, which is central in tasks such as blind deconvolution.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-184934" status="OLD">
          <idno type="IdRef">233518266</idno>
          <idno type="RNSR">201320554P</idno>
          <orgName>Institut des Technologies Avancées en sciences du Vivant</orgName>
          <orgName type="acronym">ITAV</orgName>
          <date type="start">2013-01-01</date>
          <date type="end">2020-12-31</date>
          <desc>
            <address>
              <addrLine>Centre Pierre Potier, 1, Place Pierre Potier Oncopole entrée BBP 5062431106 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.itav.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-217752" type="direct"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation name="UMS3039" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-398445" status="OLD">
          <orgName>PRIMO (ITAV)</orgName>
          <date type="end">2020-12-31</date>
          <desc>
            <address>
              <addrLine>ITAV - Centre Pierre Potier1, Place Pierre Potier Oncopole entrée BBP 5062431106 Toulouse Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.itav.fr/portfolio_page/primo/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-1954" type="direct"/>
            <relation active="#struct-81148" type="indirect"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="indirect"/>
            <relation active="#struct-217752" type="indirect"/>
            <relation name="UMR5219" active="#struct-441569" type="indirect"/>
            <relation active="#struct-184934" type="direct"/>
            <relation name="UMS3039" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1954" status="OLD">
          <idno type="IdRef">166783900</idno>
          <idno type="ISNI">0000000403836348</idno>
          <idno type="RNSR">200711888W</idno>
          <idno type="ROR">https://ror.org/014vp6c30</idno>
          <orgName>Institut de Mathématiques de Toulouse UMR5219</orgName>
          <orgName type="acronym">IMT</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>UPS IMT, F-31062 Toulouse Cedex 9, INSA Toulouse, F-31077 Toulouse,France UT1, F-31042 Toulouse, France UT2, F-31058 Toulouse,Téléphone : 05.61.55.67.90</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.math.univ-toulouse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-81148" type="direct"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="direct"/>
            <relation active="#struct-217752" type="direct"/>
            <relation name="UMR5219" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-217752" status="OLD">
          <idno type="IdRef">026404672</idno>
          <idno type="ISNI">0000000121617331</idno>
          <idno type="ROR">https://ror.org/02v6kpv12</idno>
          <idno type="Wikidata">Q1273188</idno>
          <orgName>Université Toulouse III - Paul Sabatier</orgName>
          <orgName type="acronym">UT3</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse3.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-443875" status="VALID">
          <idno type="ROR">https://ror.org/017tgbk05</idno>
          <orgName>Communauté d'universités et établissements de Toulouse</orgName>
          <orgName type="acronym">Comue de Toulouse</orgName>
          <desc>
            <address>
              <addrLine>41 Allée Jules Guesde, 31000 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-toulouse.fr/</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>
        <org type="institution" xml:id="struct-81148" status="VALID">
          <idno type="IdRef">026404354</idno>
          <idno type="ISNI">0000000121902837</idno>
          <idno type="ROR">https://ror.org/0443n9e75</idno>
          <orgName>Université Toulouse Capitole</orgName>
          <orgName type="acronym">UT Capitole</orgName>
          <date type="start">1970-01-01</date>
          <desc>
            <address>
              <addrLine>2 rue du Doyen-Gabriel-Marty - 31042 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ut-capitole.fr/</ref>
          </desc>
          <listRelation>
            <relation name="443875" active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-116255" status="VALID">
          <idno type="IdRef">026388766</idno>
          <idno type="ISNI">0000 0001 2286 8343</idno>
          <idno type="ROR">https://ror.org/01h8pf755</idno>
          <idno type="Wikidata">Q858979</idno>
          <orgName>Institut National des Sciences Appliquées - Toulouse</orgName>
          <orgName type="acronym">INSA Toulouse</orgName>
          <date type="start">1963-10-21</date>
          <desc>
            <address>
              <addrLine>135, avenue de Rangueil - 31077 Toulouse cedex 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-toulouse.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116256" status="VALID">
          <idno type="IdRef">026403994</idno>
          <idno type="ROR">https://ror.org/04ezk3x31</idno>
          <orgName>Université Toulouse - Jean Jaurès</orgName>
          <orgName type="acronym">UT2J</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>5 allées Antonio Machado - 31058 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse2.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>