Abstract

We consider a linear space of piecewise polynomials in three variables which are globally smooth, i.e. trivariate C 1 -splines of arbitrary polynomial degree. The splines are defined on type-6 tetrahedral partitions, which are natural generalizations of the four-directional mesh. By using Bernstein–Bézier techniques, we analyze the structure of the spaces and establish formulae for the dimension of the smooth splines on such uniform type partitions.

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