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Fast Iterative Algorithms for Blind Phase Retrieval: A Survey

In: Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

Author

Listed:
  • Huibin Chang

    (Tianjin Normal University, School of Mathematical Sciences)

  • Li Yang

    (Tianjin Normal University, School of Mathematical Sciences)

  • Stefano Marchesini

    (SLAC National Laboratory)

Abstract

In nanoscale imaging technique and ultrafast laser, the reconstruction procedure is normally formulated as a blind phase retrieval (BPR) problem, where one has to recover both the sample and the probe (pupil) jointly from phaseless data. This survey first presents the mathematical formula of BPR and related nonlinear optimization problems and then gives a brief review of the recent iterative algorithms. It mainly consists of three types of algorithms, including the operator-splitting-based first-order optimization methods, second-order algorithm with Hessian, and subspace methods. The future research directions for experimental issues and theoretical analysis are further discussed.

Suggested Citation

  • Huibin Chang & Li Yang & Stefano Marchesini, 2023. "Fast Iterative Algorithms for Blind Phase Retrieval: A Survey," Springer Books, in: Ke Chen & Carola-Bibiane Schönlieb & Xue-Cheng Tai & Laurent Younes (ed.), Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, chapter 4, pages 139-174, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-98661-2_116
    DOI: 10.1007/978-3-030-98661-2_116
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