Super-resolution filtered ghost imaging with compressed sensing*

Abstract

A filtered ghost imaging (GI) protocol is proposed that enables the Rayleigh diffraction limit to be exceeded in an intensity correlation system; a super-resolution reconstructed image is achieved by low-pass filtering of the measured intensities. In a lensless GI experiment performed with spatial bandpass filtering, the spatial resolution can exceed the Rayleigh diffraction bound by more than a factor of 10. The resolution depends on the bandwidth of the filter, and the relationship between the two is investigated and discussed. In combination with compressed sensing programming, not only high resolution can be maintained but also image quality can be improved, while a much lower sampling number is sufficient.