\(B\)-splines on 3-D tetrahedron partition in four-directional mesh. (English) Zbl 1031.65026
Summary: It is more difficult to construct 3-D splines than in 2-D case. Some results in the three directional meshes of the bivariate case are extended to the 3-D case and the corresponding tetrahedron partition is been constructed. The support of related B-splines and their recurrent formulas on integration and differentiation-difference are obtained. The results of this paper can be extended into higher dimension spaces, and can be also used in wavelet analysis, because of the relationship between spline and wavelets.
MSC:
| 65D07 | Numerical computation using splines |
| 41A15 | Spline approximation |
| 65T60 | Numerical methods for wavelets |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
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