On the linear independence of multivariate $B$-splines. II. Complete configurations
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- by Wolfgang A. Dahmen and Charles A. Micchelli PDF
- Math. Comp. 41 (1983), 143-163 Request permission
Abstract:
The first part of this paper is concerned with global characterizations of both the multivariate B-spline and the multivariate truncated power function as smooth piecewise polynomials. In the second part of the paper we establish combinatorial criteria for the linear independence of multivariate B-splines corresponding to certain configurations of knot sets.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Math. Comp. 41 (1983), 143-163
- MSC: Primary 41A15; Secondary 65D07
- DOI: https://doi.org/10.1090/S0025-5718-1983-0701630-8
- MathSciNet review: 701630