Analysis of approximate inverses in tomography. I: Resolution analysis of common inverses

DOI10.1023/A:1010098523281zbMath0991.65141OpenAlexW8351625MaRDI QIDQ1586421

James G. Berryman

Publication date: 2 May 2002

Published in: Optimization and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010098523281

zbMATH Keywords

Radon transformsingular value decompositioninverse problemsmedical imagingseismic tomographyadjoint methodacoustic tomographyelectrical resistance tomographybackprojection formulasdamped least-squaresimaging methodsresolution matricesx-ray tomographic methods

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Biomedical imaging and signal processing (92C55) Seismology (including tsunami modeling), earthquakes (86A15) Inverse problems in geophysics (86A22) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (2)

A Generalized Matrix Inverse That Is Consistent with Respect to Diagonal Transformations ⋮ Analysis of approximate inverses in tomography. II: Iterative inverses

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