New fast algorithm of 2D moment invariant based on projection

The calculation of moment invariant is a simple and repetitive algebraic operation which is invariant to translation, rotation, and scale change of an object. But because of the dash between the vast computation for the moment itself and the limitation of the memory space and the speed of the microprocessor it is very difficult to achieve a real-time calculation of the moment invariant. In this paper, we advanced a new fast algorithm of 2-D moment invariant based on image projection, by means of projection transformation we can compress the information of a 2-D image into 1-D information. Thus, on one hand, the amount of computation and data size are decreased greatly, on the other hand, projection transformation as merely an operation of additions is easier to achieve on hardwares now.