Two-stage approximation methods with extended B-splines (Q2871185)
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scientific article; zbMATH DE number 6248928
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-stage approximation methods with extended B-splines |
scientific article; zbMATH DE number 6248928 |
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Two-stage approximation methods with extended B-splines (English)
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22 January 2014
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B-splines
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extended B-splines
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EB-splines
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weighted least-squares fit
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discrete least-squares fit
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B-splines and their generalisations, namely extended B-splines which have special constructions using inner knots when near the boundary of a domain, are used for approximations. These approximations may be continuous or discrete, and they are allowed in multiple dimensions. Typically, weighted least squares approximations are proposed and analysed here. Two-stage approximation processes as proposed by Schumaker are shown to be able to provide optimal convergence rates on Lipschitz data.
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