A set-theoretic phase unwrapping technique for least-squares image reconstruction from the higher-order spectrum

The authors propose a novel technique for unwrapping the phase of the higher-order spectrum (HOS) of an image for the purpose of reconstructing the Fourier phase of the image. This technique solves the combined problem of phase unwrapping and reconstruction, in the least-squares sense. It uses all distinct HOS samples, and is based on alternating projections onto two constraint sets. The results obtained can easily be extended to one dimension and multiple dimensions.<>