Multivariate spline functions, B-spline bases and polynomial interpolations II
نویسندگان
چکیده
منابع مشابه
On Smooth Multivariate Spline Functions
In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined. A somewhat more detailed study on bivariate splines with rectangular grid partitions is included. The results in this paper can be applie...
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Basis functions of biquadratic polynomial spline spaces over hierarchical T-meshes are constructed. The basis functions are all tensor-product B-splines, which are linearly independent, nonnegative and complete. To make basis functions more efficient for geometric modeling, we also give out a new basis with the property of unit partition. Two preliminary applications are given to demonstrate th...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1984
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-79-1-91-102