Etude et construction de schémas de subdivision quasi-linéaires sur des maillages bi-réguliers

Abstract : Subdivision schemes are commonly used to generate a smooth shape from a much more coarseone. The reverse subdivision is designed to describe a high resolution mesh from a coarse one. Bothof these tools are used in numerous graphical modelisation domains. In this thesis, we focused ontwo distinct aspects: on one hand the construction of quasi-linear subdivision schemes and on theother hand the construction of reverse quad/triangle subdivision schemes. The work, presented inthe context of the subdivision, describes the construction of a new type of subdivision schemes, andtheirs applications to solve some problems coming from the application of linear subdivision schemes.The work presented in the context of the reverse subdivision describes a new method to reverse thequad/triangle subdivision schemes
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Yacine Boumzaid. Etude et construction de schémas de subdivision quasi-linéaires sur des maillages bi-réguliers. Mathématiques générales [math.GM]. Université de Bourgogne, 2012. Français. ⟨NNT : 2012DIJOS093⟩. ⟨tel-00905806⟩

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