Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient

Abstract

Fourier ptychographic microscopy (FPM) is a novel computational coherent imaging technique for high space-bandwidth product imaging. Mathematically, Fourier ptychographic (FP) reconstruction can be implemented as a phase retrieval optimization process, in which we only obtain low resolution intensity images corresponding to the sub-bands of the sample's high resolution (HR) spatial spectrum, and aim to retrieve the complex HR spectrum. In real setups, the measurements always suffer from various degenerations such as Gaussian noise, Poisson noise, speckle noise and pupil location error, which would largely degrade the reconstruction. To efficiently address these degenerations, we propose a novel FP reconstruction method under a gradient descent optimization framework in this paper. The technique utilizes Poisson maximum likelihood for better signal modeling, and truncated Wirtinger gradient for error removal. Results on both simulated data and real data captured using our laser FPM setup show that the proposed method outperforms other state-of-the-art algorithms. Also, we have released our source code for non-commercial use.

References in corpus (6)

• Wide-field, high-resolution Fourier ptychographic microscopy
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Experimental robustness of Fourier Ptychography phase retrieval algorithms
• Computational illumination for high-speed in vitro Fourier ptychographic microscopy
• Spectrum multiplexing and coherent-state decomposition in Fourier ptychographic imaging
• Fourier ptychographic reconstruction using Wirtinger flow optimization

Cited by in corpus (7)

• Experimental comparison of single-pixel imaging algorithms
• System calibration method for Fourier ptychographic microscopy
• Phase Retrieval Via Reweighted Wirtinger Flow
• Motion-corrected Fourier ptychography
• Inverse Multislice Ptychography by Layer-wise Optimisation and Sparse Matrix Decomposition
• PDMM: A novel Primal-Dual Majorization-Minimization algorithm for Poisson Phase-Retrieval problem
• Bypassing the resolution limit of diffractive zone plate optics via rotational Fourier ptychography