Modélisation de 3-variétés à base topologique : application à la géologie

Abstract : Volumic modeling enables to represent real objects by computer science objects. In geology, a 3D model may be defined by a set of surfacic objects partitionning the 3D space in regions. For instance, these surfaces can be horizons or faults (geological objects). A volumic object composed of 3-cells (tetrahedra or arbitrary polyhedra) could be a second way to represent a 3D model. With this kind of representation, it is possible to attach several properties on the nodes of the mesh. Thanks to a topological kernel based on G-Maps, we will study the following issues : - defining efficient data strcutures enabling the decomposition of objects into discrete elements to be represented, - generating and editing meshes for surfacic and volumic objects (removing cells, splitting cells, ...), - using a multi-purpose operation called corefinement. We also present several geological applications using corefinement operation : insertion of a gridded chenal in a regular grid (the intersected cells of the channel and the grid are perfect), boolean operations between geological objects,...
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Theses
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http://docnum.univ-lorraine.fr/prive/INPL_T_2001_CONREAUX_S.pdf
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https://hal.univ-lorraine.fr/tel-01750302
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Submitted on : Thursday, March 29, 2018 - 12:42:35 PM
Last modification on : Tuesday, April 24, 2018 - 1:30:20 PM

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Stéphane Conreaux. Modélisation de 3-variétés à base topologique : application à la géologie. Autre [cs.OH]. Institut National Polytechnique de Lorraine, 2001. Français. ⟨NNT : 2001INPL038N⟩. ⟨tel-01750302⟩

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