Fast Monotonic Algorithms for Transmission Tomography

@article{Erdogan1999FastMA,
  title={Fast Monotonic Algorithms for Transmission Tomography},
  author={Hakan Erdogan and Jeffrey A. Fessler},
  journal={IEEE Trans. Med. Imaging},
  year={1999},
  volume={18},
  pages={801-814}
}
We present a framework for designing fast and monotonic algorithms for transmission tomography penalized-likelihood image reconstruction. The ne w algorithms are based on paraboloidal surrogate functions for the log-likelihood. Due to the form of the log-likelihood function, it is possible to fin d ow curvature surrogate functions that guarantee monotonicity. Unlike previous methods, the proposed surrogate functions lead to monotonic algorith ms even for the nonconvex log-likelihood that arises… CONTINUE READING
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