IMAGE-RECONSTRUCTION FROM LOCALIZED PHASE

It is well known that under a variety of conditions Fourier phase is s ufficient for image representation. The application of present techniq ues to image reconstruction from global (Fourier) phase is, however, r ather limited in practice due to the computational complexity. We pres ent a new approach to image representation using partial information d efined by the localized phase. Our scheme is implemented using the sho rt-time (short-distance) Fourier transform. This is a generalization o f the Gabor scheme which is well established with regard to biological representation of visual information at the level of the visual corte x. Similarly to processing in vision, the dc component is first extrac ted from the signal and treated separately. Computational results and theoretical analysis indicate that image reconstruction from the local ized phase representation is more efficient than its reconstruction fr om the global phase representation in that the number of required comp uter operations is reduced and the rate of convergence is improved. It is also implementable with fast algorithms using highly parallel arch itecture.