Overlapping Domain Decomposition Methods for Ptychographic Imaging

@article{Chang2021OverlappingDD,
  title={Overlapping Domain Decomposition Methods for Ptychographic Imaging},
  author={Huibin Chang and Roland Glowinski and Stefano Marchesini and Xuecheng Tai and Yang Wang and Tieyong Zeng},
  journal={SIAM J. Sci. Comput.},
  year={2021},
  volume={43},
  pages={B570-B597}
}
In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge amount of frames are generated, and thus it poses a great demand of parallel computing in order to solve this large-scale inverse problem. In this paper, we propose the overlapping Domain Decomposition Methods (DDMs) to solve the nonconvex optimization problem in ptychographic imaging, that decouple the problem defined on the whole domain into subproblems only defined on the… 

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