1. A method of stabilizing a vibrating image, the method comprising: positioning nine fixed observation blocks of an input video image; selecting one fixed observation block of the nine fixed observation blocks as a feature block; utilizing block matching to find a motion vector of the feature block; utilizing the motion vector to restore an offset of the input video image caused by vibration; and displaying the restored input video image on a display; wherein when selecting the one fixed observation block of the nine fixed observation blocks as the feature block for calculating the motion vector, a remaining eight blocks of the nine fixed observation blocks continue to be updated by later input video images, and if a moving object entering the feature block is detected, a second fixed observation block of the remaining eight blocks is selected as a new feature block.