High-quality super-resolution lensless imaging with Fresnel zone aperture

Recent advances in lensless imaging have demonstrated that the Fresnel zone aperture (FZA) camera can achieve incoherent imaging using four-step phase-shifting and perform synthetic aperture super-resolution reconstruction through Fourier ptychography. However, the reconstructed images are severely degraded due to the low signal-to-noise ratio of the imaging process. In this paper, we introduce total variation (TV) regularization to improve the quality of reconstruction in Fourier ptychography of the FZA camera. Numerical simulations and optical experiments verify that adding TV regularization to Fourier ptychography can increase the peak signal-to-noise ratio of the reconstructed images by 2 dB, enhancing the synthetic aperture super-resolution capability.