Wigner based analysis of geometric related resolution degradation and geometric super resolution configurations

Geometric related resolution limitations of an imaging system can be divided into two bounds. The first is related to the density of the spatial sampling and the second to the sampling itself which is not ideal since the pixels perform spatial averaging of the light impinging on their area. Geometric super resolving approaches aim to overcome both limitations by proper encoding and decoding of the spatial information or its spectrum prior to being sampled by the detector and by performing over sampling using, e.g., micro scanning. In this paper we use the Wigner transform to represent the two above mentioned geometric resolution limits and to mathematically analyze and to understand them in the Wigner domain before and after applying geometrical super resolution approaches.