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キーワード:
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要旨:
We consider the linear space of piecewise polynomials in three variables
which are globally smooth, i.e., trivariate $C^1$ splines. The splines are
defined on a uniform tetrahedral partition $\Delta$, which is a natural
generalization of the four-directional mesh. By using Bernstein-B{\´e}zier
techniques, we establish formulae for the dimension of the $C^1$ splines
of arbitrary degree.
