Electronic Resource
Springer
Constructive approximation
7 (1991), S. 401-423
ISSN:
1432-0940
Keywords:
41A5
;
Multivariate splines
;
Super splines
;
Dimension
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The problem of computing the dimension of spaces of splines whose elements are piecewise polynomials of degreed withr continuous derivatives globally has attracted a great deal of attention recently. We contribute to this theory by obtaining dimension formulae for certain spaces of super splines, including the case where varying amounts of additional smoothness is enforced at each vertex. We also explicitly construct minimally supported bases for the spaces. The main tool is the Bernstein-Bézier method.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01888166
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