Elliptic grid generation using NURBS surfaces
نویسندگان
چکیده
منابع مشابه
NURBS-compatible subdivision surfaces
Two main technologies are available to design and represent freeform surfaces: NonUniform Rational B-Splines (NURBS) and subdivision surfaces. Both representations are built on uniform B-splines, but they extend this foundation in incompatible ways, and different industries have therefore established a preference for one representation over the other. NURBS are the dominant standard for Compute...
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The generation of computational grids on surfaces of three-dimensional configurations is an important component of many areas of computational research, both as a boundary grid for volume grid generation or to perform computations on the surface. For reasons of computational efficiency, structured grids remain widely used in areas such as the computation of aerodynamic flows. Elliptic grid gene...
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We revisit the lassi al te hnique of ellipti grid generation with harmoni mappings. For the determination of the ontrol fun tions we use the framework developed by Spekreijse [1℄. However, instead with nite di eren es we dis retize the underlying partial di erential equation with a B-spline ollo ation method in order to work dire tly with the native data representations of our CAGD system. This...
متن کاملAdaptive Tessellation of NURBS Surfaces
NURBS surfaces are widely used in computer graphics, due to their great accuracy of design and reduced amount of data needed for representation. For real-time visualization, tessellation algorithms are needed, as they make use of the actual graphics hardware through the conversion of surfaces to triangle meshes. The existent algorithms for tessellation are only partially adaptive because the te...
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Merging NURBS surfaces together and extending existing ones are common problems in CAD systems. Extending existing surface is usually done by creating a new separate surface and applying some merging function – result is one continuous surface. In this paper, full description of a method of direct extending existing surfaces is introduced. The extension of the surface is recomputed during its c...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 1996
ISSN: 0167-8396
DOI: 10.1016/0167-8396(95)00050-x