Towards deconvolution to enhance the grid method for in-plane strain measurement
Identifieur interne : 004F02 ( Hal/Corpus ); précédent : 004F01; suivant : 004F03Towards deconvolution to enhance the grid method for in-plane strain measurement
Auteurs : Frédéric Sur ; Michel GrediacSource :
- Inverse Problems and Imaging [ 1930-8337 ] ; 2014-03.
English descriptors
- mix :
Abstract
The grid method is one of the techniques available to measure in-plane displacement and strain components on a deformed material. A periodic grid is first transferred on the specimen surface, and images of the grid are compared before and after deformation. Windowed Fourier analysis-based techniques permit to estimate the in-plane displacement and strain maps. The aim of this article is to give a precise analysis of this estimation process. It is shown that the retrieved displacement and strain maps are actually a tight approximation of the convolution of the actual displacements and strains with the analysis window. The effect of digital image noise on the retrieved quantities is also characterized and it is proved that the resulting noise can be approximated by a stationary spatially correlated noise. These results are of utmost importance to enhance the metrological performance of the grid method, as shown in a separate article.
Url:
DOI: 10.3934/ipi.2014.8.259
Links to Exploration step
Hal:hal-00955703Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Towards deconvolution to enhance the grid method for in-plane strain measurement</title><author><name sortKey="Sur, Frederic" sort="Sur, Frederic" uniqKey="Sur F" first="Frédéric" last="Sur">Frédéric Sur</name><affiliation><hal:affiliation type="researchteam" xml:id="struct-205123" status="VALID"><idno type="RNSR">200618292L</idno><orgName>Visual Augmentation of Complex Environments</orgName><orgName type="acronym">MAGRIT</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.inria.fr/equipes/magrit</ref></desc><listRelation><relation active="#struct-129671" type="direct"></relation><relation active="#struct-300009" type="indirect"></relation><relation active="#struct-423083" type="direct"></relation><relation active="#struct-206040" type="indirect"></relation><relation active="#struct-413289" type="indirect"></relation><relation name="UMR7503" active="#struct-441569" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-129671" type="direct"><org type="laboratory" xml:id="struct-129671" status="VALID"><idno type="RNSR">198618246Y</idno><orgName>INRIA Nancy - Grand Est</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/nancy</ref></desc><listRelation><relation active="#struct-300009" type="direct"></relation></listRelation></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-423083" type="direct"><org type="department" xml:id="struct-423083" status="VALID"><orgName>Department of Algorithms, Computation, Image and Geometry</orgName><orgName type="acronym">LORIA - ALGO</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.loria.fr/la-recherche-en/departements/algorithmics</ref></desc><listRelation><relation active="#struct-206040" type="direct"></relation><relation active="#struct-300009" type="indirect"></relation><relation active="#struct-413289" type="indirect"></relation><relation name="UMR7503" active="#struct-441569" type="indirect"></relation></listRelation></org></tutelle><tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno><idno type="RNSR">198912571S</idno><idno type="IdUnivLorraine">[UL]RSI--</idno><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName><orgName type="acronym">LORIA</orgName><date type="start">2012-01-01</date><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 active="#struct-300009" type="direct"></relation><relation active="#struct-413289" type="direct"></relation><relation name="UMR7503" active="#struct-441569" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno><idno type="IdUnivLorraine">[UL]100--</idno><orgName>Université de Lorraine</orgName><orgName type="acronym">UL</orgName><date type="start">2012-01-01</date><desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.univ-lorraine.fr/</ref></desc></org></tutelle><tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</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></tutelles></hal:affiliation></affiliation></author><author><name sortKey="Grediac, Michel" sort="Grediac, Michel" uniqKey="Grediac M" first="Michel" last="Grediac">Michel Grediac</name><affiliation><hal:affiliation type="laboratory" xml:id="struct-186882" status="VALID"><orgName>Institut Pascal [Aubiere]</orgName><desc><address><addrLine>24 avenue des Landais 63171 Aubiere Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.ip.univ-bpclermont.fr/index.php/fr/</ref></desc><listRelation><relation active="#struct-205618" type="direct"></relation><relation active="#struct-322672" type="direct"></relation><relation name="UMR6602" active="#struct-441569" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-205618" type="direct"><org type="institution" xml:id="struct-205618" status="VALID"><orgName>Université Blaise Pascal - Clermont-Ferrand 2</orgName><orgName type="acronym">UBP</orgName><desc><address><addrLine>34, avenue Carnot - BP 185 - 63006 Clermont-Ferrand cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.univ-bpclermont.fr/</ref></desc></org></tutelle><tutelle active="#struct-322672" type="direct"><org type="institution" xml:id="struct-322672" status="VALID"><orgName>Sigma CLERMONT</orgName><orgName type="acronym">Sigma CLERMONT</orgName><date type="start">2016-01-01</date><desc><address><addrLine>Sigma CLERMONTCampus des Cézeaux CS 2026563178 Aubière Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.sigma-clermont.fr/</ref></desc></org></tutelle><tutelle name="UMR6602" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</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></tutelles></hal:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">HAL</idno><idno type="RBID">Hal:hal-00955703</idno><idno type="halId">hal-00955703</idno><idno type="halUri">https://hal.inria.fr/hal-00955703</idno><idno type="url">https://hal.inria.fr/hal-00955703</idno><idno type="doi">10.3934/ipi.2014.8.259</idno><date when="2014-03">2014-03</date><idno type="wicri:Area/Hal/Corpus">004F02</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Towards deconvolution to enhance the grid method for in-plane strain measurement</title><author><name sortKey="Sur, Frederic" sort="Sur, Frederic" uniqKey="Sur F" first="Frédéric" last="Sur">Frédéric Sur</name><affiliation><hal:affiliation type="researchteam" xml:id="struct-205123" status="VALID"><idno type="RNSR">200618292L</idno><orgName>Visual Augmentation of Complex Environments</orgName><orgName type="acronym">MAGRIT</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.inria.fr/equipes/magrit</ref></desc><listRelation><relation active="#struct-129671" type="direct"></relation><relation active="#struct-300009" type="indirect"></relation><relation active="#struct-423083" type="direct"></relation><relation active="#struct-206040" type="indirect"></relation><relation active="#struct-413289" type="indirect"></relation><relation name="UMR7503" active="#struct-441569" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-129671" type="direct"><org type="laboratory" xml:id="struct-129671" status="VALID"><idno type="RNSR">198618246Y</idno><orgName>INRIA Nancy - Grand Est</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/nancy</ref></desc><listRelation><relation active="#struct-300009" type="direct"></relation></listRelation></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-423083" type="direct"><org type="department" xml:id="struct-423083" status="VALID"><orgName>Department of Algorithms, Computation, Image and Geometry</orgName><orgName type="acronym">LORIA - ALGO</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.loria.fr/la-recherche-en/departements/algorithmics</ref></desc><listRelation><relation active="#struct-206040" type="direct"></relation><relation active="#struct-300009" type="indirect"></relation><relation active="#struct-413289" type="indirect"></relation><relation name="UMR7503" active="#struct-441569" type="indirect"></relation></listRelation></org></tutelle><tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno><idno type="RNSR">198912571S</idno><idno type="IdUnivLorraine">[UL]RSI--</idno><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName><orgName type="acronym">LORIA</orgName><date type="start">2012-01-01</date><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 active="#struct-300009" type="direct"></relation><relation active="#struct-413289" type="direct"></relation><relation name="UMR7503" active="#struct-441569" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno><idno type="IdUnivLorraine">[UL]100--</idno><orgName>Université de Lorraine</orgName><orgName type="acronym">UL</orgName><date type="start">2012-01-01</date><desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.univ-lorraine.fr/</ref></desc></org></tutelle><tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</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></tutelles></hal:affiliation></affiliation></author><author><name sortKey="Grediac, Michel" sort="Grediac, Michel" uniqKey="Grediac M" first="Michel" last="Grediac">Michel Grediac</name><affiliation><hal:affiliation type="laboratory" xml:id="struct-186882" status="VALID"><orgName>Institut Pascal [Aubiere]</orgName><desc><address><addrLine>24 avenue des Landais 63171 Aubiere Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.ip.univ-bpclermont.fr/index.php/fr/</ref></desc><listRelation><relation active="#struct-205618" type="direct"></relation><relation active="#struct-322672" type="direct"></relation><relation name="UMR6602" active="#struct-441569" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-205618" type="direct"><org type="institution" xml:id="struct-205618" status="VALID"><orgName>Université Blaise Pascal - Clermont-Ferrand 2</orgName><orgName type="acronym">UBP</orgName><desc><address><addrLine>34, avenue Carnot - BP 185 - 63006 Clermont-Ferrand cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.univ-bpclermont.fr/</ref></desc></org></tutelle><tutelle active="#struct-322672" type="direct"><org type="institution" xml:id="struct-322672" status="VALID"><orgName>Sigma CLERMONT</orgName><orgName type="acronym">Sigma CLERMONT</orgName><date type="start">2016-01-01</date><desc><address><addrLine>Sigma CLERMONTCampus des Cézeaux CS 2026563178 Aubière Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.sigma-clermont.fr/</ref></desc></org></tutelle><tutelle name="UMR6602" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</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></tutelles></hal:affiliation></affiliation></author></analytic><idno type="DOI">10.3934/ipi.2014.8.259</idno><series><title level="j">Inverse Problems and Imaging </title><idno type="ISSN">1930-8337</idno><imprint><date type="datePub">2014-03</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>2D displacement and strain fields in experimental mechanics</term><term>Image-based contactless measurement</term><term>grid method</term><term>non-blind deconvolution</term><term>non-blind deconvolution.</term><term>phase and phase derivative</term><term>spatially correlated noise</term><term>windowed Fourier analysis</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The grid method is one of the techniques available to measure in-plane displacement and strain components on a deformed material. A periodic grid is first transferred on the specimen surface, and images of the grid are compared before and after deformation. Windowed Fourier analysis-based techniques permit to estimate the in-plane displacement and strain maps. The aim of this article is to give a precise analysis of this estimation process. It is shown that the retrieved displacement and strain maps are actually a tight approximation of the convolution of the actual displacements and strains with the analysis window. The effect of digital image noise on the retrieved quantities is also characterized and it is proved that the resulting noise can be approximated by a stationary spatially correlated noise. These results are of utmost importance to enhance the metrological performance of the grid method, as shown in a separate article.</div></front></TEI><hal api="V3"><titleStmt><title xml:lang="en">Towards deconvolution to enhance the grid method for in-plane strain measurement</title><author role="aut"><persName><forename type="first">Frédéric</forename><surname>Sur</surname></persName><email>frederic.sur@loria.fr</email><ptr type="url" target="http://www.loria.fr/~sur/"></ptr><idno type="halauthor">780841</idno><affiliation ref="#struct-205123"></affiliation></author><author role="aut"><persName><forename type="first">Michel</forename><surname>Grediac</surname></persName><email>michel.grediac@univ-bpclermont.fr</email><idno type="halauthor">459023</idno><affiliation ref="#struct-186882"></affiliation></author><editor role="depositor"><persName><forename>Frédéric</forename><surname>Sur</surname></persName><email>frederic.sur@loria.fr</email></editor></titleStmt><editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2014-03-05 09:33:58</date><date type="whenModified">2016-05-11 13:20:15</date><date type="whenReleased">2014-03-05 11:23:46</date><date type="whenProduced">2014-03</date><date type="whenEndEmbargoed">2014-03-05</date><ref type="file" target="https://hal.inria.fr/hal-00955703/document"><date notBefore="2014-03-05"></date></ref><ref type="file" subtype="greenPublisher" n="1" target="https://hal.inria.fr/hal-00955703/file/IPI_Sur_Grediac_published.pdf"><date notBefore="2014-03-05"></date></ref></edition><respStmt><resp>contributor</resp><name key="104159"><persName><forename>Frédéric</forename><surname>Sur</surname></persName><email>frederic.sur@loria.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">hal-00955703</idno><idno type="halUri">https://hal.inria.fr/hal-00955703</idno><idno type="halBibtex">sur:hal-00955703</idno><idno type="halRefHtml">Inverse Problems and Imaging , AIMS American Institute of Mathematical Sciences, 2014, 8 (1), pp.259-291. <http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9721>. <10.3934/ipi.2014.8.259></idno><idno type="halRef">Inverse Problems and Imaging , AIMS American Institute of Mathematical Sciences, 2014, 8 (1), pp.259-291. <http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9721>. <10.3934/ipi.2014.8.259></idno></publicationStmt><seriesStmt><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="INRIA-LORRAINE">INRIA Nancy - Grand Est</idno><idno type="stamp" n="LORIA2">Publications du LORIA</idno><idno type="stamp" n="INRIA-NANCY-GRAND-EST">INRIA Nancy - Grand Est</idno><idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno><idno type="stamp" n="LORIA-ACGI" p="LORIA">Algorithmique, calcul, image et géométrie</idno><idno type="stamp" n="UNIV-BPCLERMONT" p="PRES_CLERMONT">Université Blaise Pascal - Clermont-Ferrand II</idno><idno type="stamp" n="INSTITUT_PASCAL" p="UNIV-BPCLERMONT">Institut Pascal</idno><idno type="stamp" n="PRES_CLERMONT">Université de Clermont</idno><idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno><idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="ACL-SF" p="PRES_CLERMONT">ACL en Sciences fondamentales</idno><idno type="stamp" n="ACL-SPI" p="PRES_CLERMONT">ACL en SPI</idno><idno type="stamp" n="INRIA2">INRIA 2</idno><idno type="stamp" n="LORIA-ALGO-TEST5">LORIA-ALGO-TEST5 </idno><idno type="stamp" n="SIGMA-CLERMONT">Ecole d'ingénieurs SIGMA Clermont </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">Towards deconvolution to enhance the grid method for in-plane strain measurement</title><author role="aut"><persName><forename type="first">Frédéric</forename><surname>Sur</surname></persName><email>frederic.sur@loria.fr</email><ptr type="url" target="http://www.loria.fr/~sur/"></ptr><idno type="halAuthorId">780841</idno><affiliation ref="#struct-205123"></affiliation></author><author role="aut"><persName><forename type="first">Michel</forename><surname>Grediac</surname></persName><email>michel.grediac@univ-bpclermont.fr</email><idno type="halAuthorId">459023</idno><affiliation ref="#struct-186882"></affiliation></author></analytic><monogr><idno type="halJournalId" status="VALID">107268</idno><idno type="issn">1930-8337</idno><idno type="eissn">1930-8345</idno><title level="j">Inverse Problems and Imaging </title><imprint><publisher>AIMS American Institute of Mathematical Sciences</publisher><biblScope unit="volume">8</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="pp">259-291</biblScope><date type="datePub">2014-03</date></imprint></monogr><idno type="doi">10.3934/ipi.2014.8.259</idno><ref type="publisher">http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9721</ref></biblStruct></sourceDesc><profileDesc><langUsage><language ident="en">English</language></langUsage><textClass><keywords scheme="author"><term xml:lang="en">non-blind deconvolution</term><term xml:lang="en">Image-based contactless measurement</term><term xml:lang="en">2D displacement and strain fields in experimental mechanics</term><term xml:lang="en">grid method</term><term xml:lang="en">windowed Fourier analysis</term><term xml:lang="en">phase and phase derivative</term><term xml:lang="en">spatially correlated noise</term><term xml:lang="en">non-blind deconvolution.</term></keywords><classCode scheme="halDomain" n="info.info-cv">Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]</classCode><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="halDomain" n="spi.meca.mema">Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]</classCode><classCode scheme="halDomain" n="phys.meca.mema">Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]</classCode><classCode scheme="halTypology" n="ART">Journal articles</classCode></textClass><abstract xml:lang="en">The grid method is one of the techniques available to measure in-plane displacement and strain components on a deformed material. A periodic grid is first transferred on the specimen surface, and images of the grid are compared before and after deformation. Windowed Fourier analysis-based techniques permit to estimate the in-plane displacement and strain maps. The aim of this article is to give a precise analysis of this estimation process. It is shown that the retrieved displacement and strain maps are actually a tight approximation of the convolution of the actual displacements and strains with the analysis window. The effect of digital image noise on the retrieved quantities is also characterized and it is proved that the resulting noise can be approximated by a stationary spatially correlated noise. These results are of utmost importance to enhance the metrological performance of the grid method, as shown in a separate article.</abstract></profileDesc></hal></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Hal/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 004F02 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Hal/Corpus/biblio.hfd -nk 004F02 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Lorraine
|area= InforLorV4
|flux= Hal
|étape= Corpus
|type= RBID
|clé= Hal:hal-00955703
|texte= Towards deconvolution to enhance the grid method for in-plane strain measurement
}}
| This area was generated with Dilib version V0.6.33. |  |