De-noising imaging through diffusers with autocorrelation.

Abstract

Recovering targets through diffusers is an important topic as well as a general problem in optical imaging. The difficulty of recovering is increased due to the noise interference caused by an imperfect imaging environment. Existing approaches generally require a high-signal-to-noise-ratio (SNR) speckle pattern to recover the target, but still have limitations in de-noising or generalizability. Here, featuring information of high-SNR autocorrelation as a physical constraint, we propose a two-stage (de-noising and reconstructing) method to improve robustness based on data driving. Specifically, a two-stage convolutional neural network (CNN) called autocorrelation reconstruction (ACR) CNN is designed to de-noise and reconstruct targets from low-SNR speckle patterns. We experimentally demonstrate the robustness through various diffusers with different levels of noise, from simulative Gaussian noise to the detector and photon noise captured by the actual optical system. The de-noising stage improves the peak SNR from 20 to 38 dB in the system data, and the reconstructing stage, compared with the unconstrained method, successfully recovers targets hidden in unknown diffusers with the detector and photon noise. With the help of the physical constraint to optimize the learning process, our two-stage method is realized to improve generalizability and has potential in various fields such as imaging in low illumination.