Fast and accurate method for radial moment’s computation

Fast and accurate method is proposed for radial moment’s computation. Exact radial moments are computed as a linear combination of exact geometric moments. The digital image is transformed to be inside the unit circle, where the transformed image is divided into four quadrants. Based on the symmetry property; only one quadrant of transformed image is needed to compute the whole set of moments. This leads to significant reduction in the computational complexity requirements. The proposed method completely removes the approximation errors and tremendously reduced the computational demands. Numerical experiments are performed, where the obtained results are compared with the approximated values. The obtained results clearly explained the efficiency of the proposed method.