We introduce a loss compensation method to increase the resolution of near-field imaging with a plasmonic superlens that relies on the convolution of a high spatial frequency passband function with the object. Implementation with incoherent light removes the need for phase information. The method is described theoretically and numerical imaging results with artificial noise are presented, which display enhanced resolution of a few tens of nanometers, or around one-fifteenth of the free space wavelength. A physical implementation of the method is designed and simulated to provide a proof-of-principle, and steps toward experimental implementation are discussed.The theory and experimental demonstration of metamaterials has inspired interesting avenues of imaging, 1-12 lithography, 13,14 and beam generation 15 beyond the diffraction limit, particularly motivated by the prospect of a perfect lens. 16 Researchers have quickly realized arXiv:1801.06583v1 [physics.optics]