Spline space and its B-splines on an \(n+1\) direction mesh in \({\mathbb R}^n\) (Q1612369)
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scientific article; zbMATH DE number 1787660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spline space and its B-splines on an \(n+1\) direction mesh in \({\mathbb R}^n\) |
scientific article; zbMATH DE number 1787660 |
Statements
Spline space and its B-splines on an \(n+1\) direction mesh in \({\mathbb R}^n\) (English)
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22 August 2002
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The authors study the high dimensional splines defined on \(n+1\) mesh simplical partitions being the analogue of bivariate splines on three-mesh triangulations. The three-direction mesh in two dimensions is generalized into higher dimensions. The recurrence formula of B-splines in integral and derivative-difference forms are obtained.
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bivariate spline
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three-mesh triangulation
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B-splines
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