Reconstruction from Radon projections and orthogonal expansion on a ball

DOI10.1088/1751-8113/40/26/010zbMath1125.33009arXiv0705.1984OpenAlexW3100847108MaRDI QIDQ5297528

Yuan Xu

Publication date: 11 July 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1984

zbMATH Keywords

Radon transformorthogonal polynomials on the unit ball

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Radon transform (44A12) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (11)

On the norm of the OPED algorithm on the ball ⋮ Continuous and discrete tight frames of orthogonal polynomials for a radially symmetric weight ⋮ A discretized Fourier orthogonal expansion in orthogonal polynomials on a cylinder ⋮ Quadrature formula for computed tomography ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ Radon needlet thresholding ⋮ Bayesian linear inverse problems in regularity scales ⋮ Asymptotic inversion formulas in 3D vector field tomography for different geometries ⋮ Orthogonal function series formulae for inversion of the conical Radon transform with a fixed central axis ⋮ A note on the norm of an algorithm for reconstruction from Radon data on the ball ⋮ Inversion of noisy Radon transform by SVD based needlets

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