Fast and exact \(2d\) image reconstruction based on Hakopian interpolation

DOI10.1016/j.apnum.2017.07.002zbMath1372.65335OpenAlexW2738578074MaRDI QIDQ2402569

Xuenan Sun, Xue-Zhang Liang

Publication date: 8 September 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.07.002

zbMATH Keywords

algorithmnumerical exampleimage reconstructionHakopian interpolationRadon transformationChebyshev-Fourier series

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Cites Work

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• On the convergence of Hakopian interpolation and cubature
• On the reconstruction of a function on a circular domain from a sampling of its line integrals
• A birth and death model of neuron firing
• Interpolation by bivariate polynomials based on Radon projections
• Representation of a Function by Its Line Integrals, with Some Radiological Applications

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