<?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-00628648</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="2026-05-25T05:15:22+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Automatic Polynomial Form Correction with Autocorrelation Functions</title>
            <author role="aut">
              <persName>
                <forename type="first">Thibauld</forename>
                <surname>Nion</surname>
              </persName>
              <email type="md5">cf3d5b39b84f79041676f518bac21dd9</email>
              <email type="domain">mines-paris.org</email>
              <idno type="idhal" notation="numeric">911026</idno>
              <idno type="halauthorid" notation="string">586867-911026</idno>
              <affiliation ref="#struct-206"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Gabriel</forename>
                <surname>Fricout</surname>
              </persName>
              <idno type="halauthorid">356858-0</idno>
              <affiliation ref="#struct-36484"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Dominique</forename>
                <surname>Jeulin</surname>
              </persName>
              <email type="md5">11da631f563ed30abd0b893e38793a49</email>
              <email type="domain">mines-paristech.fr</email>
              <idno type="idhal" notation="string">dominique-jeulin</idno>
              <idno type="idhal" notation="numeric">11571</idno>
              <idno type="halauthorid" notation="string">28666-11571</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-6423-6926</idno>
              <idno type="IDREF">https://www.idref.fr/060975555</idno>
              <affiliation ref="#struct-206"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Thibauld</forename>
                <surname>Nion</surname>
              </persName>
              <email type="md5">cf3d5b39b84f79041676f518bac21dd9</email>
              <email type="domain">mines-paris.org</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2011-10-03 21:20:59</date>
              <date type="whenWritten">2011-10-03</date>
              <date type="whenModified">2026-01-09 09:48:30</date>
              <date type="whenReleased">2011-10-04 08:53:42</date>
              <date type="whenProduced">2011-10-03</date>
              <date type="whenEndEmbargoed">2011-10-03</date>
              <ref type="file" target="https://hal.science/hal-00628648v1/document">
                <date notBefore="2011-10-03"/>
              </ref>
              <ref type="file" subtype="greenPublisher" n="1" target="https://hal.science/hal-00628648v1/file/AutomatingSurfacesFormCorrectionwithAutocorrelationFunctions.pdf" id="file-628648-289104">
                <date notBefore="2011-10-03"/>
              </ref>
              <ref type="annex" subtype="other" n="0" target="https://hal.science/hal-00628648v1/file/autocorrelations.py" id="file-628648-289102">
                <date notBefore="2011-10-03"/>
              </ref>
              <ref type="annex" subtype="other" n="0" target="https://hal.science/hal-00628648v1/file/correctPolynomialShape.py" id="file-628648-289103">
                <date notBefore="2011-10-03"/>
              </ref>
              <ref type="annex" subtype="other" n="0" target="https://hal.science/hal-00628648v1/file/README.txt" id="file-628648-289101">
                <date notBefore="2011-10-03"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="165232">
                <persName>
                  <forename>Thibauld</forename>
                  <surname>Nion</surname>
                </persName>
                <email type="md5">cf3d5b39b84f79041676f518bac21dd9</email>
                <email type="domain">mines-paris.org</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00628648</idno>
            <idno type="halUri">https://hal.science/hal-00628648</idno>
            <idno type="halBibtex">nion:hal-00628648</idno>
            <idno type="halRefHtml">2011</idno>
            <idno type="halRef">2011</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-628648-289104"/><ref corresp="#file-628648-289102"/><ref corresp="#file-628648-289103"/><ref corresp="#file-628648-289101"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENSMP" corresp="PARISTECH">MINES ParisTech</idno>
            <idno type="stamp" n="ENSMP_CMM" corresp="ENSMP">Morphologie mathématique (CMM)</idno>
            <idno type="stamp" n="PARISTECH">ParisTech</idno>
            <idno type="stamp" n="PSL">Université Paris sciences et lettres</idno>
            <idno type="stamp" n="ENSMP_DEP_MS">Département Mathématiques et systèmes</idno>
            <idno type="stamp" n="ENSMP_DR" corresp="ENSMP">ENSMP_DR</idno>
            <idno type="stamp" n="ENSMP-PSL" corresp="PSL">MINES ParisTech - École nationale supérieure des mines de Paris - PSL</idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">12 pages, also available on the WEB in HTML at: http://cmm.ensmp.fr/~nion/Travaux/FormCorrection/</note>
            <note type="audience" n="1">Not set</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Automatic Polynomial Form Correction with Autocorrelation Functions</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Thibauld</forename>
                    <surname>Nion</surname>
                  </persName>
                  <email type="md5">cf3d5b39b84f79041676f518bac21dd9</email>
                  <email type="domain">mines-paris.org</email>
                  <idno type="idhal" notation="numeric">911026</idno>
                  <idno type="halauthorid" notation="string">586867-911026</idno>
                  <affiliation ref="#struct-206"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Gabriel</forename>
                    <surname>Fricout</surname>
                  </persName>
                  <idno type="halauthorid">356858-0</idno>
                  <affiliation ref="#struct-36484"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Dominique</forename>
                    <surname>Jeulin</surname>
                  </persName>
                  <email type="md5">11da631f563ed30abd0b893e38793a49</email>
                  <email type="domain">mines-paristech.fr</email>
                  <idno type="idhal" notation="string">dominique-jeulin</idno>
                  <idno type="idhal" notation="numeric">11571</idno>
                  <idno type="halauthorid" notation="string">28666-11571</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-6423-6926</idno>
                  <idno type="IDREF">https://www.idref.fr/060975555</idno>
                  <affiliation ref="#struct-206"/>
                </author>
              </analytic>
              <monogr>
                <imprint/>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="fr">surface</term>
                <term xml:lang="fr">form</term>
                <term xml:lang="fr">roughness</term>
                <term xml:lang="fr">correlation</term>
                <term xml:lang="fr">modelisation</term>
                <term xml:lang="fr">measurement</term>
                <term xml:lang="fr">correction</term>
                <term xml:lang="fr">automatisation</term>
              </keywords>
              <classCode scheme="halDomain" n="info.info-ti">Computer Science [cs]/Image Processing [eess.IV]</classCode>
              <classCode scheme="halTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halOldTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halTreeTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Dealing with a surface's form is an essential part of any topographical study of the said surface's roughness. We present here a method for automatic correction of the form, using very simple concepts to solve a problem where top notch technologies were not enough mature to tackle. After explaining how well known mathematical tools such as the correlation function relate to this problem, we will see how they helped us to design an automatic procedure that we applied in order to get a highly reliable data set, that, in turn, underpinned a fine grain study on rough surfaces conducted at ArcelorMittal Research.</p>
            </abstract>
            <particDesc>
              <org type="consortium">Thèse CIFRE</org>
            </particDesc>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-206" status="VALID">
          <idno type="IdRef">15213493X</idno>
          <idno type="ROR">https://ror.org/0579t4s85</idno>
          <orgName>Centre de Morphologie Mathématique</orgName>
          <orgName type="acronym">CMM</orgName>
          <date type="end">2025-12-31</date>
          <desc>
            <address>
              <addrLine>35 rue Saint-Honoré 77305 Fontainebleau cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://cmm.mines-paristech.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301492" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-36484" status="VALID">
          <orgName>ArcelorMittal Maizières Research SA</orgName>
          <desc>
            <address>
              <addrLine>Voie romaine, BP 30320, 57283 Maizières-lès-Metz</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-508203" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-301492" status="VALID">
          <idno type="IdRef">026375249</idno>
          <idno type="ROR">https://ror.org/04y8cs423</idno>
          <orgName>Mines Paris - PSL (École nationale supérieure des mines de Paris)</orgName>
          <date type="start">1783-01-01</date>
          <desc>
            <address>
              <addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.minesparis.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="institution" xml:id="struct-508203" status="VALID">
          <orgName>ArcelorMittal</orgName>
          <desc>
            <address>
              <country key="LU"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>