<title>Two-dimensional blind deconvolution from point zero locations</title>

Abstract

Assuming that two-dimensional bandlimited functions are always non-factorizable, one can use this property to separate the product of two bandlimited functions into its respective factors. The contour in C2 on which each bandlimited function is zero, typically intersects with the real plane at isolated points and the location of these zeros can be used to write a factorizable approximation to the original irreducible complex spectrum. From two differently blurred images, the point zero set from the object's spectrum can be separated from those of the blurring functions by inspection, allowing the object to be reconstructed; examples are given and the importance of this for Fourier phase retrieval is also discussed.