PET regularization by envelope guided conjugate gradients

Journal Article · Sat Jun 01 00:00:00 EDT 1996 · IEEE Transactions on Medical Imaging

DOI:https://doi.org/10.1109/42.500147· OSTI ID:260435

Kaufman, L ^[1]; Neumaier, A ^[2]

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1. Lucent Technologies, Murray Hill, NJ (United States)
2. Univ. of Vienna (Austria). Inst. fuer Mathematik

The authors propose a new way to iteratively solve large scale ill-posed problems and in particular the image reconstruction problem in positron emission tomography by exploiting the relation between Tikhonov regularization and multiobjective optimization to obtain iteratively approximations to the Tikhonov L-curve and its corner. Monitoring the change of the approximate L-curves allows us to adjust the regularization parameter adaptively during a preconditioned conjugate gradient iteration, so that the desired solution can be reconstructed with a small number of iterations.

• OSTI ID: 260435
• Journal Information: IEEE Transactions on Medical Imaging, Journal Name: IEEE Transactions on Medical Imaging Journal Issue: 3 Vol. 15; ISSN 0278-0062; ISSN ITMID4
• Country of Publication: United States
• Language: English

Related Subjects

55 BIOLOGY AND MEDICINE
BASIC STUDIES
ACCURACY
DATA COVARIANCES
IMAGE PROCESSING
OPTIMIZATION
PERFORMANCE
POSITRON COMPUTED TOMOGRAPHY