\(M\)-band subdivision of multivariate \(B\)-spline. (Q1427228)
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scientific article; zbMATH DE number 2055540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(M\)-band subdivision of multivariate \(B\)-spline. |
scientific article; zbMATH DE number 2055540 |
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\(M\)-band subdivision of multivariate \(B\)-spline. (English)
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14 March 2004
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The authors consider some B-spline functions with convolution definition on uniform type-1 and type-2 triangulation and they obtain the corresponding M-band refinement equations by modifying the definition of initial function and using Fourier transform. Moreover, by using the Fourier transform the computation of the subdivision matrix turns to the power product of multivariate polynomials.
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B-spline
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M-band refinement equation
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Fourier transform
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subdivision
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