Multivariate C1-continuous splines on the Alfeld split of a simplex
نویسندگان
چکیده
Using algebraic geometry methods and Bernstein-Bézier techniques we find the dimension of C1-continuous splines on the Alfeld split of a simplex in Rn and describe a minimal determining set for this space.
منابع مشابه
Generating dimension formulas for multivariate splines
Dimensions of spaces of multivariate splines remain unknown in general. A computational method to obtain explicit formulas for the dimension of spline spaces on simplicial partitions is described. The method is based on Hilbert series and Hilbert polynomials. It is applied to conjecture the dimension formulas for splines on the Alfeld split of a simplex and on several other partitions. AMS clas...
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