Compressed-sampling-based Fourier ptychographic microscopy

Abstract Traditional Fourier ptychographic microscopy (FPM) requires the acquisition of multiple images, which limits the acquisition speed and increases storage requirements. Here, we present a compressed sampling method for FPM (CSFPM), wherein we randomly switch on a certain number of the source LEDs each time to collect compressed data and use it to recover an FPM low-resolution image set. Subsequently, we utilize a general FPM recovery algorithm to reconstruct a high-resolution image. We conduct simulations and experiments to validate the CSFPM feasibility and acquisition efficiency. Our results demonstrate that CSFPM reduces the acquisition-data amount by 49.59% and acquisition-time by 84.63% relative to traditional FPM.