Motion-blurred image restoration using modified inverse all-pole filters

The restoration of vibration-blurred images using measured motion function is considered. Since the blurring filter is of the finite impulse response type, the inverse one is of the all-pole infinite impulse response type. Direct application of the inverse filter to restore images blurred by vibration is attractive because of reduced computation requirements. Space domain filtering allows high parallelization of the process and reduction of required processor speed. However, a pure inverse filter provides excessive noise amplification and is possibly unstable. The proposed technique is to construct a modified inverse filter with preserved all-pole structure and optimized noise and stability properties. A mathematical concept was developed using z-transform properties. An experiment testing the proposed technique was setup and the results indicate restoration is 60%-80% of that possible with ideal Wiener filtering. However, the reduced computation and high parallelization can facilitate real-time restoration.