Ptychography Using Blind Multi-Mode PMACE

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Abstract
Ptychography is an imaging technique that enables nanometer-scale reconstruction of complex transmittance images by scanning objects with overlapping X-ray illumination patterns. However, the illumination function is typically unknown and only partially coherent, which presents challenges for reconstruction. In this paper, we introduce Blind Multi-Mode Projected Multi-Agent Consensus Equilibrium (BM-PMACE) for blind ptychographic reconstruction. BM-PMACE jointly estimates both the complex transmittance image and the multi-modal probe functions associated with a partially coherent probe source. Importantly, BM-PMACE maintains a location-specific probe state that captures spatially varying probe aberrations. Our method also incorporates a dynamic strategy for integrating additional probe modes. Our experiments on synthetic and measured data demonstrate that BM-PMACE outperforms existing approaches in reconstruction quality and convergence rate.
Funding Information
  • U.S. Department of Energy
  • U.S. Department of Energy and the Showalter Trust
  • NSF (CCF-1763896)
  • LDRD program of LANL (20200061DR)

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