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On Smooth Multivariate Spline Functions
| Content Provider | Scilit |
|---|---|
| Author | Chui, Charles K. Wang, Ren-Hong |
| Copyright Year | 1983 |
| Description | In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined. A somewhat more detailed study on bivariate splines with rectangular grid partitions is included. The results in this paper can be applied to problems on interpolation and approximation by bivariate spline functions. |
| Related Links | https://www.ams.org/mcom/1983-41-163/S0025-5718-1983-0701629-1/S0025-5718-1983-0701629-1.pdf |
| Ending Page | 142 |
| Page Count | 12 |
| Starting Page | 131 |
| ISSN | 00255718 |
| e-ISSN | 10886842 |
| DOI | 10.2307/2007771 |
| Journal | Mathematics of Computation |
| Issue Number | 163 |
| Volume Number | 41 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1983-07-01 |
| Access Restriction | Open |
| Subject Keyword | Artificial Intelligence Spline Functions Interpolation Cut Rectangular Smooth Bivariate Spline Partitions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Algebra and Number Theory Computational Mathematics |