Model Corrected Low Rank Ptychography

Gauri Jagatap, Zhengyu Chen, Chinmay Hegde, Namrata Vaswani

Abstract: In this paper, we introduce a novel algorithmic framework for sub-diffractive super-resolution imaging of dynamic, time-varying targets. We extend recent works in low rank Fourier ptychographic imaging, to incorporate model-correction schemes, which correct for errors propagated due to inaccuracies in fitting an exact low rank model to the target video acquired. Through our algorithm, we are able to demonstrate superior reconstruction quality of video from phaseless Fourier ptychographic measurements, at low sample complexities, as compared to conventional ptychographic setups.