Motion-corrected Fourier ptychography

TL;DR

This paper introduces a novel Fourier ptychography reconstruction method that effectively corrects for unknown sample motion, enhancing imaging quality in practical applications like endoscopy and electron microscopy.

Contribution

The proposed method adaptively updates the Fourier spectrum and incorporates motion recovery, improving robustness against sample motion in Fourier ptychography imaging.

Findings

Successfully corrects for sample motion with up to 10% of FOV scale.

Works on both simulated and real data, demonstrating practical effectiveness.

Provides open-source code for non-commercial use.

Abstract

Fourier ptychography (FP) is a recently proposed computational imaging technique for high space-bandwidth product imaging. In real setups such as endoscope and transmission electron microscope, the common sample motion largely degrades the FP reconstruction and limits its practicability. In this paper, we propose a novel FP reconstruction method to efficiently correct for unknown sample motion. Specifically, we adaptively update the sample's Fourier spectrum from low spatial-frequency regions towards high spatial-frequency ones, with an additional motion recovery and phase-offset compensation procedure for each sub-spectrum. Benefiting from the phase retrieval redundancy theory, the required large overlap between adjacent sub-spectra offers an accurate guide for successful motion recovery. Experimental results on both simulated data and real captured data show that the proposed method can correct for unknown sample motion with its standard deviation being up to 10% of the field-of-view scale. We have released our source code for non-commercial use, and it may find wide applications in related FP platforms such as endoscopy and transmission electron microscopy.