Bivariate regression splines
β Scribed by Lin-An Chen
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 816 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0167-9473
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π SIMILAR VOLUMES
We consider the problem of determining the dimension of the space of bjvariate splines CL(d), for all k. This problem is closely related to the question of whether C'(d) is a free R-module. The main result is that C'( 6) is free if and only if (Al has genus zero and CL(d) has the expected dimension
In [G. Nu rnberger and Th. Riessinger, Numer. Math. 71 (1995), 91 119], we developed an algorithm for constructing point sets at which unique Lagrange interpolation by spaces of bivariate splines of arbitrary degree and smoothness on uniform type triangulations is possible. Here, we show that simila