Fourier reconstruction in tomography

DOI10.1007/BF01389583zbMath0583.65090MaRDI QIDQ1069289

Frank Natterer

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133037

zbMATH Keywords

Fourier transformcomparison of methodsRadon transformerror analysisinversion formulacomputer tomographyNumerical experimentsangular interpolationfiltered back projection algorithmFourier reconstruction algorithmradial interpolation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (1)

Fast binary CT using Fourier null space regularization (FNSR)

Cites Work

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• Efficient evaluation of oversampled functions
• The Radon transform
• Fast Fourier transform and convolution algorithms
• Strip Integration in Radio Astronomy
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• A Sobolev Space Analysis of Picture Reconstruction
• Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support

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