PET regularization by envelope guided conjugate gradients |
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Authors: | Kaufman L Neumaier A |
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Affiliation: | Lucent Technol., AT&T Bell Labs., Murray Hill, NJ. |
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Abstract: | 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 the authors 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. |
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