Reconstruction of a Polynomial from Its Radon Projections

DOI10.1137/040616516zbMath1127.42011arXivmath/0503338OpenAlexW2071188126MaRDI QIDQ5470555

Yuan Xu, Borislav D. Bojanov

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503338

zbMATH Keywords

interpolationpolynomials of two variablesRadon projection

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation in approximation theory (41A05) Summability in several variables (42B08)

Related Items (14)

Harmonic interpolation of Hermite type based on Radon projections in two directions ⋮ A new approach to the reconstruction of images from Radon projections ⋮ Asymptotic behavior of interpolation polynomials of harmonic functions based on Radon projections ⋮ A discretized Fourier orthogonal expansion in orthogonal polynomials on a cylinder ⋮ Uniqueness of Gaussian quadrature formula for computed tomography ⋮ Convergence analysis for kernel-regularized online regression associated with an RRKHS ⋮ Harmonic interpolation based on Radon projections along the sides of regular polygons ⋮ Interpolating solutions of the Poisson equation in the disk based on Radon projections ⋮ Polynomial interpolation of holomorphic functions based on Radon projections ⋮ Interpolation of harmonic functions based on Radon projections ⋮ Surface Reconstruction and Lagrange Basis Polynomials ⋮ New results on regularity and errors of harmonic interpolation using Radon projections ⋮ Harmonic interpolation of Hermite type based on Radon projections with constant distances ⋮ Cubature rules for harmonic functions based on Radon projections

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