Zero sheet separation of blurred images with symmetrical point spread functions

Abstract

The analytically continued Fourier transform of a two-dimensional image vanishes to zero on a two-dimensional surface embedded in a four-dimensional space. This surface uniquely characterizes the image and is known as a zero sheet. Since the manipulation of a function in four-dimensional space is cumbersome, we calculate the projections of zero sheets, known as zero tracks. If the blurred image concerned contains a point spread function with two-dimensional symmetry, the zero tracks calculated row-vice and column-vice contain some similarities, which support retrieval of both true image, and point spread function. This presented novel scheme does the separation effectively in the absence of contamination.