Contribution à la résolution du problème d'intersection de deux carreaux de surfaces

Abstract : The research of intersection curves of two parametric surfaces is one of the most delicat and indisponsable operation for modeling complex shapes. The difficulties are : tangentiel intersection, small loops and the representation of the intersection by a piecewise linear approximation. In this thesis, we developp the two existant methods : recursive subdivision and tracing methods. For the first, we developp the two tests defining the method : separating and flatness tests. We had implement the method in many versions. An experimental implentation helps us to choose the best one. For the second method, we developp a tracing procedure for regular curves using the intrinsic proprities of the treated curve. The use of the notion of oriented function distance and the strategy of the recurive subdivision method permet to treat tangential intersection (isolated and simple) and small loops are treated
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Mohamed Berroug. Contribution à la résolution du problème d'intersection de deux carreaux de surfaces. Autre [cs.OH]. Université Paul Verlaine - Metz, 1995. Français. ⟨NNT : 1995METZ034S⟩. ⟨tel-01777090⟩

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