Interpolation by bivariate polynomials based on Radon projections

DOI10.4064/sm162-2-3zbMath1060.41003OpenAlexW1982008080MaRDI QIDQ4811179

Borislav D. Bojanov, I. K. Georgieva

Publication date: 18 August 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/sm/Inf/162-2-3.html

zbMATH Keywords

interpolationmultivariate polynomialsRadon projection

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

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Harmonic interpolation of Hermite type based on Radon projections in two directions ⋮ Fast and exact \(2d\) image reconstruction based on Hakopian interpolation ⋮ Asymptotic behavior of interpolation polynomials of harmonic functions based on Radon projections ⋮ A discretized Fourier orthogonal expansion in orthogonal polynomials on a cylinder ⋮ 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 ⋮ Image reconstruction by OPED algorithm with averaging ⋮ Polynomial interpolation of holomorphic functions based on Radon projections ⋮ Smoothing of Radon projections type of data by bivariate polynomials ⋮ 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 ⋮ OPED reconstruction algorithm for limited angle problem ⋮ Cubature rules for harmonic functions based on Radon projections

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