## Blossoming begets $B$-spline bases built better by $B$-patches

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- by Wolfgang Dahmen, Charles A. Micchelli and Hans-Peter Seidel PDF
- Math. Comp.
**59**(1992), 97-115 Request permission

## Abstract:

The concept of symmetric recursive algorithm leads to new,*s*-dimensional spline spaces. We present a general scheme for constructing a collection of multivariate

*B*-splines with $k - 1$ continuous derivatives whose linear span contains all polynomials of degree at most

*k*. This scheme is different from the one developed earlier by Dahmen and Micchelli and, independently, by Höllig, which was based on combinatorial principles and the geometric interpretation of the

*B*-spline. The new spline space introduced here seems to offer possibilities for economizing the computation for evaluating linear combinations of

*B*-splines.

## References

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## Additional Information

- © Copyright 1992 American Mathematical Society
- Journal: Math. Comp.
**59**(1992), 97-115 - MSC: Primary 41A15; Secondary 41A63, 65D07
- DOI: https://doi.org/10.1090/S0025-5718-1992-1134724-1
- MathSciNet review: 1134724