@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              In this thesis, we propose a set of tools for the statistical quantification and comparison of asymmetry within a population or between two populations of structures represented by 3D point sets. These tools are designed in a coherent framework relying on a modeling of the point sets as mixtures of probability density functions depending on parameters describing for example a reflection or a 3D deformation. The estimation of the parameters best superposing the mixtures is performed with variants of the Expectation-Maximisation algorithm. Particularly, we propose algorithms allowing i) the estimation of a symmetry plane of a point set, ii) the estimation of a symmetry surface of a point set, iii) the estimation of a non-linear deformation best superposing 2 point sets and iv) the building of statistical shape models from a set of point sets. Then, we show how to combine these methods to build statistical asymmetry maps (mean, standard deviation, significant asymmetries, significant differences, {\\it etc}) and global measurements characterising the asymmetry of the populations under study. Finally, we use our tools to compare the cortical asymmetries of 2 Situs Inversus subjects (congenital condition in which the major visceral organs are mirrored from their normal positions) with those of a control population.
            """ ;
    dct:identifier "tel-00684994" ;
    dct:issued "2026-05-22T19:35:36.226562"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-22T19:35:36.226568"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "E fficient computational tools for the statistical analysis of shape and asymmetryof 3D point sets" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00684994v1/resource/5a1324be-3286-4abf-9326-c3bd0d769b05> ;
    dcat:keyword "asymetrie",
        "em-icp",
        "imagerie-medicale",
        "infoeu-reposemanticsdoctoralthesis",
        "infoinfo-tscomputer-science-cssignal-and-image-processing",
        "maillage",
        "morphometrie",
        "nuage-de-points",
        "recalage",
        "sdvibimalife-sciences-q-biobioengineeringimaging",
        "spisignalengineering-sciences-physicssignal-and-image-processing",
        "statapstatistics-statapplications-statap",
        "symetrie",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00684994> .

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    dct:format "HTML" ;
    dct:issued "2026-05-22T19:35:36.289484"^^xsd:dateTime ;
    dct:modified "2026-05-22T19:35:36.188106"^^xsd:dateTime ;
    dct:title "E fficient computational tools for the statistical analysis of shape and asymmetryof 3D point sets" ;
    dcat:accessURL <https://theses.hal.science/tel-00684994> .

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