Fourier ptychographic reconstruction using Wirtinger flow optimization

TL;DR

This paper introduces a Wirtinger flow-based iterative optimization method for Fourier ptychography that enables high-quality image reconstruction from low SNR, short exposure images, significantly reducing acquisition time.

Contribution

It presents a novel FP reconstruction framework combining phase retrieval and noise relaxation, achieving around 80% reduction in exposure time while maintaining accuracy.

Findings

Achieves similar reconstruction accuracy with 80% less exposure time.

Validates effectiveness on synthetic and real data.

Provides open-source implementation.

Abstract

Recently Fourier Ptychography (FP) has attracted great attention, due to its marked effectiveness in leveraging snapshot numbers for spatial resolution in large field-of-view imaging. To acquire high signal-to-noise-ratio (SNR) images under angularly varying illuminations for subsequent reconstruction, FP requires long exposure time, which largely limits its practical applications. In this paper, based on the recently reported Wirtinger flow algorithm, we propose an iterative optimization framework incorporating phase retrieval and noise relaxation together, to realize FP reconstruction using low SNR images captured under short exposure time. Experiments on both synthetic and real captured data validate the effectiveness of the proposed reconstruction method. Specifically, the proposed technique could save around 80% exposure time to achieve similar retrieval accuracy compared to the conventional FP. Besides, we have released our source code for non-commercial use.