Phase-space optics: applications in computational imaging and optical image processing

Phase-space representations (PSRs) of a signal contain the signal's spatial and local frequency information, providing a powerful tool to describe both coherent and incoherent light and its propagation in optical systems. Because of this, PSRs are widely employed in the characterization of imaging systems, phase retrieval, image processing, and, in particular, they are closely related to the fundamental theory of light field. In this manuscript, we review our recent works on phase-space optics, with particular focusing on its applications in computational imaging and optical image processing.