Maximum likelihood, least squares, and penalized least squares for PET

@article{Kaufman1993MaximumLL,
  title={Maximum likelihood, least squares, and penalized least squares for PET},
  author={Linda Kaufman},
  journal={IEEE transactions on medical imaging},
  year={1993},
  volume={12 2},
  pages={
          200-14
        }
}
The EM algorithm is the basic approach used to maximize the log likelihood objective function for the reconstruction problem in positron emission tomography (PET). The EM algorithm is a scaled steepest ascent algorithm that elegantly handles the nonnegativity constraints of the problem. It is shown that the same scaled steepest descent algorithm can be applied to the least squares merit function, and that it can be accelerated using the conjugate gradient approach. The experiments suggest that… CONTINUE READING
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