CONJOINT IMAGE REPRESENTATION WITH A WEIGHTED ZAK TRANSFORM

An image-representation technique is described that uses a window func tion that provides good localization in both space and spatial frequen cy. The window function is obtained by weighting of the Zak transform (ZT) of a Gaussian. The weighting procedure eliminates the zero in the ZT, thus permitting efficient and stable computation of expansion coe fficients with respect to the derived window function. Since the windo w function is related to Gabor functions and, in addition, resembles a visual receptive field, it may also be useful in visual representatio n and modeling.