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Multivariate Approximation and Splines

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
46 KB
Volume
94
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Multivariate approximation by PDE spline
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✍ M. Pasadas; M.L. RodrΓ­guez πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 252 KB

This work deals with an approximation method for multivariate functions from data constituted by a given data point set and a partial differential equation (PDE). The solution of our problem is called a PDE spline. We establish a variational characterization of the PDE spline and a convergence resul

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Four subdivision algorithms for multivariate splines are discussed In a geometrical manner. The proofs given are mostly geometrical also and thus easy to follow. An illustrative example demonstrates the effect of the algorithms to a sample surface.

Multivariate spline spaces
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Module Bases for Multivariate Splines
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✍ Lauren L. Rose πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 316 KB

We characterize module bases of spline spaces in terms of their determinants, degree sequences, and dimension series. These characterization also provide tests for freeness of the module. Applications are given to the basis and dimension problem for spline spaces.