A study of fourier space methods for “limited angle” image reconstruction*

DOI10.1080/01630568008816043zbMath0458.65105OpenAlexW2158588358MaRDI QIDQ3908452

F. Alberto Gruenbaum

Publication date: 1980

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568008816043

zbMATH Keywords

Radon transformsingular valuesimage reconstructiontomographyFourier methodsill- posed problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) General integral transforms (44A05) Integral equations with miscellaneous special kernels (45H05)

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Finite convolution integral operators commuting with differential operators: some counterexamples, Landweber iterative methods for angle-limited image reconstruction, Time-band limiting matrices and lamé's equation, Weighting algorithm and relaxation strategies of the Landweber method for image reconstruction, An iterative algorithm for angle-limited three-dimensional image reconstruction, Optimization for limited angle tomography in medical image processing, On the commutation properties of finite convolution and differential operators. I: Commutation, Finite symmetric convolution operators and singular symmetric differential operators, Differential operators commuting with convolution integral operators, Commuting integral and differential operators and the master symmetries of the Korteweg–de Vries equation, Stabilized Reconstruction in Signal and Image Processing, Chopped Orthogonal Polynomial Expansions—Some Discrete Cases, Convexity properties of inverse problems with variational constraints

Cites Work

• Generalized Image Restoration by the Method of Alternating Orthogonal Projections
• Representation of a Function by Its Line Integrals, with Some Radiological Applications