Bivariate cardinal interpolation by splines on a three-direction mesh (Q1071974)

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scientific article; zbMATH DE number 3939903
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Bivariate cardinal interpolation by splines on a three-direction mesh
scientific article; zbMATH DE number 3939903

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    Bivariate cardinal interpolation by splines on a three-direction mesh (English)
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    1985
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    This is a delicious paper. The authors are looking for a function which is a bounded cardinal interpolation to bounded data. They carry Schoenberg's beautiful cardinal spline theory over to a two-dimensional situation. They use Schoenberg's method, written in ''Contribution, to data smoothing'' to describe necessary and sufficient conditions on Fourier transform and to discuss the correctness of the bivariate interpolation problem. They also discuss the convergence of bivariate cardinal interpolation.
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    Fourier transform
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    bivariate interpolation
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    bivariate cardinal interpolation
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