Influence of motion sensor error on image restoration from vibrations and motion

We investigate the influence of motion sensor errors on the calculation of a modulation transfer function (MTF) and its implementation in image restoration. The goal of this research is to describe an automatic system for restoration of pictures blurred by vibration, and to consider its possible disadvantages. We present an analytical approach for estimating the vibration MTF from the measured system MTF according to the frequency response of motion sensors and their noise data. Our method is based on point-spread function verification by the data of motion sensor characteristics. We build an analytical model of the sensor and analyze influences of errors caused by system noise and incorrect axis direction of the restoration device. Some image restoration of degraded images is presented based on improvements using the original wiener filter. Performances of inverse and wiener filter operations are compared, and the dependence of restoration quality on the signal-to-noise ratio and angle between the restoration axis and true vibration direction is considered. We also demonstrate the axis rotation sensitivity of the system, and describe improvements over the initial method as seen from our simulation. The key to the restoration is the determination of the improved modulation transfer function unique to the image vibration and sensor characteristics.