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• W2280637052 abstract "In this paper, we consider the problem of reconstructing piecewise smooth functions to high accuracy from nonuniform samples of their Fourier transform. We use the framework of nonuniform generalized sampling (NUGS) to do this, and to ensure high accuracy we employ reconstruction spaces consisting of splines or (piecewise) polynomials. We analyze the relation between the dimension of the reconstruction space and the bandwidth of the nonuniform samples, and show that it is linear for splines and piecewise polynomials of fixed degree, and quadratic for piecewise polynomials of varying degree." @default.
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• W2280637052 date "2015-01-01" @default.
• W2280637052 modified "2023-09-25" @default.
• W2280637052 title "Recovering Piecewise Smooth Functions from Nonuniform Fourier Measurements" @default.
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• W2280637052 doi "https://doi.org/10.1007/978-3-319-19800-2_8" @default.
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