Nevin Manimala Statistics

Maximum-likelihood estimation in ptychography in the presence of Poisson-Gaussian noise statistics

Opt Lett. 2023 Nov 15;48(22):6027-6030. doi: 10.1364/OL.502344.


Optical measurements often exhibit mixed Poisson-Gaussian noise statistics, which hampers the image quality, particularly under low signal-to-noise ratio (SNR) conditions. Computational imaging falls short in such situations when solely Poissonian noise statistics are assumed. In response to this challenge, we define a loss function that explicitly incorporates this mixed noise nature. By using a maximum-likelihood estimation, we devise a practical method to account for a camera readout noise in gradient-based ptychography optimization. Our results, based on both experimental and numerical data, demonstrate that this approach outperforms the conventional one, enabling enhanced image reconstruction quality under challenging noise conditions through a straightforward methodological adjustment.

PMID:37966780 | DOI:10.1364/OL.502344

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