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

TLDR: In this article, a modified inverse filter with preserved all-pole structure and optimized noise and stability properties is proposed to restore images blurred by vibration by using measured motion function. But, it is not suitable for the use of a pure inverse filter, since it provides excessive noise amplification and is possibly unstable.

Abstract: The restoration of vibration-blurred images using measured motion function is considered. Since the blurring filter is of finite impulse response type, the inverse one is of all-pole infinite impulse response type. Direct application of the inverse filter to restore images blurred by vibration is attractive because of minimal computation requirements. 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. An experiment testing the proposed technique was set up and the results presented here.