A new approach towards simultaneous activity and attenuation reconstruction in emission tomography

DOI10.1088/0266-5611/15/4/307zbMath0945.65146OpenAlexW1975700082MaRDI QIDQ4719081

Volker Dicken

Publication date: 5 October 2000

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e9f93ce0d3960e7c50bd99a28aa19183253d82c0

zbMATH Keywords

parameter estimationnumerical examplesnonlinear Tikhonov regularizationGauss-Newton conjugate gradient minimizationnonlinear attenuated Radon transformnuclear medical diagnosissingle photon emission computed-tomography

Mathematics Subject Classification ID

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

Related Items (9)

MOROZOV'S DISCREPANCY PRINCIPLE FOR TIKHONOV-REGULARIZATION OF NONLINEAR OPERATORS ⋮ Algebraic Reconstruction of Source and Attenuation in SPECT Using First Scattering Measurements ⋮ Simultaneous reconstruction of emission and attenuation in passive gamma emission tomography of spent nuclear fuel ⋮ A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration ⋮ Convergence analysis of a two-point gradient method for nonlinear ill-posed problems ⋮ Inversion of the scalar and vector attenuated X-ray transforms in a unit disc ⋮ A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity con\-straints ⋮ A mathematical approach towards THz tomography for non-destructive imaging ⋮ A variational model for SPECT reconstruction with a nonlinearly transformed attenuation prototype

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