Restoration method for degraded images using two-dimensional block Kalman filter with colored driving source

This paper proposes a robust image restoration method using two-dimensional block Kalman filter with colored driving source. This method aims to achieve high quality image restoration for blur and noise disturbance from the canonical state space models with (i) a state equation composed of the original image, and (ii) an observation equation composed of the original image, blur, and noise. The remarkable feature of the proposed method is realization of high performance image restoration without sacrificing original image despite simple image restoration using only Kalman filter algorithm, while many conventional methods based on the Kalman filter theory usually perform the image restoration, using the parameter estimation algorithm of AR(auto regressive) system and the Kalman filter algorithm. We show the effectiveness of the proposed method using numerical results and subjective evaluation results.