title: Motion-corrected Fourier ptychography.
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.
authors.affiliation: Department of Automation, Tsinghua University, Beijing 100084, China.
authors.forename: Liheng
authors.initials: L
authors.lastname: Bian
authors.affiliation: Department of Biomedical Engineering, University of Connecticut, Storrs, Connecticut 06269, USA.
authors.forename: Guoan
authors.initials: G
authors.lastname: Zheng
authors.affiliation: Department of Biomedical Engineering, University of Connecticut, Storrs, Connecticut 06269, USA.
authors.forename: Kaikai
authors.initials: K
authors.lastname: Guo
authors.affiliation: Department of Automation, Tsinghua University, Beijing 100084, China.
authors.forename: Jinli
authors.initials: J
authors.lastname: Suo
authors.affiliation: Department of Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, USA.
authors.forename: Changhuei
authors.initials: C
authors.lastname: Yang
authors.affiliation: Department of Automation, Tsinghua University, Beijing 100084, China.
authors.forename: Feng
authors.initials: F
authors.lastname: Chen
authors.affiliation: Department of Automation, Tsinghua University, Beijing 100084, China.
authors.forename: Qionghai
authors.initials: Q
authors.lastname: Dai
keywords: (110.1758) Computational imaging; (170.0180) Microscopy; (170.3010) Image reconstruction techniques