Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT

@article{Jrgensen2014TestableUC,
  title={Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT},
  author={Jakob S. J\orgensen and Christian Kruschel and Dirk A. Lorenz},
  journal={CoRR},
  year={2014},
  volume={abs/1409.0214}
}
We study recoverability in fan-beam computed tomography (CT) with sparsity and total variation priors: how many underdetermined linear measurements suffice for recovering images of given sparsity? Results from compressed sensing (CS) establish such conditions for, e.g., random measurements, but not for CT. Recoverability is typically tested by checking whether a computed solution recovers the original. This approach cannot guarantee solution uniqueness and the recoverability decision therefore… CONTINUE READING
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