General restoration filter for vibrated image restoration

Low temporal frequency vibrations involve random image degradation depending on the instant of exposure. Exact restoration requires calculating a specific filter unique to each vibrated image. In order to calculate the restoration filter for each image the specific degradation function is needed Therefore, the instant of exposure has to be measured or estimated by some other means. In this work a general restoration filter for a single vibrated image is developed. The filter is independent of the instant of exposure. Assuming that receiving each image from a vibrated image ensemble is equally likely, the filter is designed to give best performance averaged over the ensemble. Even though when applying the new filter to any vibrated image the restoration achieved is slightly poorer than with an exact filter based on the specific motion function, the new filter has the advantage of simplicity. Since the instant of exposure is not needed a new appropriate filter does not have to be calculated for each exposure, the proposed filter is more practical and suitable for real time restoration.