Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



On the linear independence of multivariate $ B$-splines. II. Complete configurations

Authors: Wolfgang A. Dahmen and Charles A. Micchelli
Journal: Math. Comp. 41 (1983), 143-163
MSC: Primary 41A15; Secondary 65D07
MathSciNet review: 701630
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 41A15, 65D07

Retrieve articles in all journals with MSC: 41A15, 65D07

Additional Information

Article copyright: © Copyright 1983 American Mathematical Society

American Mathematical Society