Inversion of limited-angle tomographic data

DOI10.1016/0898-1221(91)90135-QzbMath0742.44004MaRDI QIDQ1178539

Alexander G. Ramm

Publication date: 26 June 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Radon transformtomographyanalytical continuationnumerical implementationinverse formulalimited angle tomography problem

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (12)

Landweber iterative methods for angle-limited image reconstruction ⋮ Local algorithms in exterior tomography ⋮ Finding singular support of a function from its tomographic data ⋮ Weighting algorithm and relaxation strategies of the Landweber method for image reconstruction ⋮ An iterative algorithm for angle-limited three-dimensional image reconstruction ⋮ Inversion of incomplete Radon transform ⋮ Inversion of limited-angle tomographic data. II ⋮ Filtered back projection method for inversion of incomplete tomographic data ⋮ Finding Discontinuities from Tomographic Data ⋮ Singularities of the Radon transform ⋮ Landweber scheme for compact operator equation in Hilbert space and its applications ⋮ Reconstructing singularities of a function from its Radon transform

Cites Work

• Signal estimation from incomplete data
• Optimal estimation from limited noisy data
• Stable solutions of some ill‐posed problems
• Eigenvalues Associated with Prolate Spheroidal Wave Functions of Zero Order
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inversion of limited-angle tomographic data