Super-resolution and reconstruction of sparse images carried by incoherent light

We demonstrate theoretically and experimentally the reconstruction of images borne on incoherent light at a resolution greatly exceeding the finest resolution defined by the NA of the system. Our method relies on compressed sensing techniques, which assume that the object is sparse in a known basis, and only that. The approach is robust against noise and can be used for reconstructing subwavelength images through measurements taken in the optical far field.