Search results for "Polynomial generation"

showing 2 items of 2 documents

Study and construction of the quasi-linear subdivision schemes over bi-regular meshs

2012

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…

Polynomial generationPolynomial reproduction[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM][INFO.INFO-OH]Computer Science [cs]/Other [cs.OH]Subdivision quad/triangle[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Génération des polynômesInterpolation[INFO.INFO-OH] Computer Science [cs]/Other [cs.OH]QuasiinterpolationReverse subdivision[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM][ INFO.INFO-OH ] Computer Science [cs]/Other [cs.OH]Schémas de subdivisionQuad/triangle subdivisionSubdivision schemesReproduction des polynômesSchémas de subdivision inverseApproximation
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An Approximating-Interpolatory Subdivision Scheme.

2011

International audience; In the last decade, study and construction of quad/triangle subdivision schemes have attracted attention. The quad/triangle subdivision starts with a control mesh consisting of both quads and triangles and produces ner and ner meshes with quads and triangles (Fig. 1). Design- ers often want to model certain regions with quad meshes and others with triangle meshes to get better visual qual- ity of subdivision surfaces. Smoothness analysis tools exist for regular quad/triangle vertices. Moreover C1 and C2 quad/triangle schemes (for regular vertices) have been con- structed. But to our knowledge, there are no quad/triangle schemes that uni es approximating and interpola…

Polynomial generationComputer Science::GraphicsNumerical analysis Computer science[INFO.INFO-GR] Computer Science [cs]/Graphics [cs.GR]Mathematics::Analysis of PDEsSubdivision[ INFO.INFO-GR ] Computer Science [cs]/Graphics [cs.GR]Computer Science::Computational GeometryQuad/triangle SubdivisionQuasi-interpolants[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]
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