USING MOMENTS TO ACQUIRE THE MOTION PARAMETERS OF A DEFORMABLE OBJECTWITHOUT CORRESPONDENCES

In the topic of motion analysis in image understanding, we usually nee d to find the motion of a particular object. However, frequently the c orrespondence problem, which is well known to be difficult, must first be solved. If the correspondence problem can be avoided in motion ana lysis, it will greatly reduce the difficulty of solving motion paramet ers. Using the concept of object normalization described in this paper , we can determine the motion parameters without solving the correspon dence problem. The object of interest is not necessarily assumed rigid here. It can undergo a uniformly, linearly deformable motion (affine transformation), including translation, rotation and skewing. Under th e assumption of this motion model, a closed-form solution of the desir ed motion parameters can be obtained efficiently by our proposed metho d. In some special cases where the closed-form solution cannot be dete rmined uniquely, a modified method is also developed to solve them. A theoretical error analysis is presented to show for what kinds of obje ct it is inherently hard to acquire motion parameters.