Solving ptychography with a convex relaxation

@article{Horstmeyer2014SolvingPW,
  title={Solving ptychography with a convex relaxation},
  author={Roarke Horstmeyer and Richard Y. Chen and Xiaoze Ou and Brendan P. W. Ames and Joel A. Tropp and Changhuei Yang},
  journal={New Journal of Physics},
  year={2014},
  volume={17}
}
Ptychography is a powerful computational imaging technique that transforms a collection of low-resolution images into a high-resolution sample reconstruction. Unfortunately, algorithms that currently solve this reconstruction problem lack stability, robustness, and theoretical guarantees. Recently, convex optimization algorithms have improved the accuracy and reliability of several related reconstruction efforts. This paper proposes a convex formulation of the ptychography problem. This… 

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