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Fast and exact 2d image reconstruction based on Hakopian interpolation

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Abstract A new algorithm for the reconstruction of two-dimensional (2 D ) images from projections is given. The algorithm is based on the expansions of Hakopian interpolation polynomial into Chebyshev–Fourier… Click to show full abstract

Abstract A new algorithm for the reconstruction of two-dimensional (2 D ) images from projections is given. The algorithm is based on the expansions of Hakopian interpolation polynomial into Chebyshev–Fourier series. The computer simulation experiments show that the new algorithm is effective.

Keywords: reconstruction; hakopian interpolation; fast exact; exact image; image reconstruction

Journal Title: Applied Numerical Mathematics
Year Published: 2017

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