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@prefix dct: <http://purl.org/dc/terms/> .
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@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              In this thesis we study and design a surface modelling based on the representation of surfaces<br />with an atlas.<br /> - The first part of it is dedicated to the study of our modelling.<br />Such a modelling allows to work locally on the surface without being afraid of any lose of global<br />consistency. Furthermore the representation with an atlas is a notion coming from differential<br />geometry. Our modelling inherits then good properties from this mathematical theory, and<br />especially to solve the continuity problem between the patches with which piecewise<br />parametric representation of surfaces meets frequently : our geometrical model<br />is a regular (or a quasi-regular) surface.<br />We present this modelling among those which are used in Computer Graphics and in its differential<br />geometric background.<br /> - In the second part of this thesis, we propose an algorithm for designing such a modelling<br />from a triangular mesh.<br />This mesh is supposed to be a connected and compact 2-manifold.<br />The algorithm processes in three steps. Each steps reveals a geometrical problem<br />for which we propose an innovative solution. In particular we demonstrate that the nerve of a well-shaped covering is a combinatorial triangulation. We study also the<br />$C^1$-diffeomorphic parameterization of a planar crown, and finally the convex combination<br />as a smooth blending of surfaces.
            """ ;
    dct:identifier "tel-00097567" ;
    dct:issued "2026-05-05T15:54:55.413988"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-05T15:54:55.413992"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A surface modelling based on the representation with an atlas" ;
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    dcat:keyword "atlas-differentiel",
        "infoeu-reposemanticsdoctoralthesis",
        "informatique-graphique",
        "modelisation-de-surfaces",
        "otherdomainother",
        "parametrisation-de-couronne",
        "raccord-de-surfaces",
        "recouvrement",
        "theses",
        "topologie-combinatoire" ;
    dcat:landingPage <https://theses.hal.science/tel-00097567> .

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    dct:issued "2026-05-05T15:54:55.418966"^^xsd:dateTime ;
    dct:modified "2026-05-05T15:54:55.400850"^^xsd:dateTime ;
    dct:title "A surface modelling based on the representation with an atlas" ;
    dcat:accessURL <https://theses.hal.science/tel-00097567> .

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