Inverse polynomial reconstruction of two dimensional Fourier images

DOI10.1007/s10915-004-4795-3zbMath1093.65128OpenAlexW1966469530MaRDI QIDQ2490402

Bernie D. Shizgal, Jae-Hun Jung

Publication date: 2 May 2006

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-004-4795-3

zbMATH Keywords

Gibbs phenomenonimage reconstructiongraphical examplesFourier approximationInverse polynomial reconstruction methodShepp-Logan phantom imageTwo-dimensional image reconstruction

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items

An investigation of resolution of 2-variate Gibbs phenomenon ⋮ Pseudospectral Fourier reconstruction with the modified inverse polynomial reconstruction method ⋮ A note on the Gibbs phenomenon with multiquadric radial basis functions ⋮ On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon ⋮ Edge detection free postprocessing for pseudospectral approximations ⋮ Sampling and reconstruction in distinct subspaces using oblique projections ⋮ Application of Gegenbauer polynomial expansions to mitigate Gibbs phenomenon in Fourier-Bessel series solutions of a dynamic sphere problem ⋮ Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\) ⋮ On the Convergence of the Quasi-Periodic Approximations on a Finite Interval

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