Joint ptycho-tomography reconstruction through alternating direction method of multipliers

Research output: Contribution to journalArticle


We present the extension of ptychography for three-dimensional object reconstruction in a tomography setting. We describe the alternating direction method of multipliers (ADMM) as a generic reconstruction framework to efficiently solve the nonlinear optimization problem. In this framework, the ADMM breaks the joint reconstruction problem into two well-defined subproblems: ptychographic phase retrieval and tomographic reconstruction. In this paper, we use the gradient descent algorithm to solve both problems and demonstrate the efficiency of the proposed approach through numerical simulations. Further, we show that the proposed joint approach relaxes existing requirements for lateral probe overlap in conventional ptychography. Thus, it can allow more flexible data acquisition.


  • Selin Aslan
  • Viktor Nikitin
  • Daniel J. Ching
  • Tekin Bicer
  • Sven Leyffer
  • Doga Gürsoy
External organisations
  • Argonne National Laboratory
  • Northwestern University
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Computational Mathematics
Original languageEnglish
Pages (from-to)9128-9143
Number of pages16
JournalOptics Express
Issue number6
Publication statusPublished - 2019
Publication categoryResearch