On Super-Resolution with Separation Prior

Separation-aware super resolution algorithms are studied in this paper. Motivated by the optics applications, we consider the mixture model of Airy disks, and propose to develop general mapping operators that can enforce a specific separation constraint. The proposed operators can work with existing algorithms, and bridge the gap in prior works that the separation is only assumed in theoretical analysis while not exploited in algorithmic designs. The performance of the operators is theoretically analyzed and demonstrated by numerical experiments under both one and two dimensional settings.