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Multivariate B-form Hypersurfaces Representation and Application |
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Abstract B-form spline and multivariate spline line is commonly used appearance describing mathematical method in computer aided geometric design. This representation is expanded to more high-dimensional hypersur- face in the actual applications. In this paper, a representation of multivariate B-form hypersurface is presented by Change the feature points to image matrix. The geometric definition of hypersurface in multivariate B-form by elevate dimension in arbitrary polyhedron is first given in this paper. In the family of rich and colorful hypersurfaces, Hypersurfaces with same degree are constructed on rectangular domain, regular hexagon domain and regular octagon domain. And a set of sufficient conditions for GC μ continuous is given which for Bezier surface stitching on triangle and rectangle domain. Finally, a practical application example is given in the wing model fitting that can achieve a better surface smooth joining together.
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DOI:DOI: 10.12733/20151129 |
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