A Modified Wiener Filter for Multi-Frame Restoration of Blurred and Noisy Images

This paper proposes the use of a modified Wiener digital restoration technique for multiframe image sequences that are degraded by both blur and noise. The proposed multichannel Wiener restoration filter accounts for both intra-frame (spatial) and inter-frame (temporal) correlation. A modified cross-correlation formula between consecutive frames, which directly utilizes the motion vectors in the calculation of correlation among frames is derived and implemented in a multi-frame Wiener filter. Our modification estimates the motion vectors (horizontal and vertical) between consecutive frames using the threestep method, and then uses the estimated motion vectors to modify the cross-correlation terms in the formula for restoration. The performed simulations verified that the multiframe restoration algorithm, that uses the motion information among different frames in restoration, gives improved results than both of the single frame independent restoration and the multi-channel restoration without considering the motion vectors.