Spline space and its B-splines on an \(n+1\) direction mesh in \({\mathbb R}^n\). (English) Zbl 0998.41001
The authors study the high dimensional splines defined on \(n+1\) mesh simplical partitions being the analogue of bivariate splines on three-mesh triangulations. The three-direction mesh in two dimensions is generalized into higher dimensions. The recurrence formula of B-splines in integral and derivative-difference forms are obtained.
Reviewer: Hang Tong Lau (St.Laurent/Quebec)
MSC:
| 41A05 | Interpolation in approximation theory |
| 65D07 | Numerical computation using splines |
| 41A15 | Spline approximation |
References:
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