Alternating projection, ptychographic imaging and phase synchronization

Stefano Marchesini, Yu Chao Tu, Hau Tieng Wu

Research output: Contribution to journalArticlepeer-review


We demonstrate necessary and sufficient conditions of the local convergence of the alternating projection algorithm to a unique solution up to a global phase factor. Additionally, for the ptychography imaging problem, we discuss phase synchronization and graph connection Laplacian, and show how to construct an accurate initial guess to accelerate convergence speed to handle the big imaging data in the coming new light source era.

Original languageEnglish (US)
Pages (from-to)815-851
Number of pages37
JournalApplied and Computational Harmonic Analysis
Issue number3
StatePublished - Nov 1 2016


  • Alternating projection
  • Graph connection Laplacian
  • Phase retrieval
  • Phase synchronization
  • Ptychography

ASJC Scopus subject areas

  • Applied Mathematics


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