Quadrature formula for computed tomography

DOI10.1016/J.JAT.2009.08.003zbMath1209.33006OpenAlexW2168384487MaRDI QIDQ606680

Guergana Petrova, Borislav D. Bojanov

Publication date: 18 November 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.08.003

zbMATH Keywords

Chebyshev polynomialsRadon projectionsGaussian quadrature on the unit disk

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

Uniqueness of Gaussian quadrature formula for computed tomography ⋮ Extended Gaussian type cubatures for the ball

Cites Work

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• A new approach to the reconstruction of images from Radon projections
• Numerical integration over a disc. A new Gaussian quadrature formula
• Uniqueness of the Gaussian quadrature for a ball
• Quadrature formulas for Fourier coefficients
• Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
• Reconstruction from Radon projections and orthogonal expansion on a ball
• Approximation and Reconstruction from Attenuated Radon Projections

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