Abstract
The calculation of moment invariants via the Hadamart transform is proposed. First of all, the relationship between moments and coefficients of a Hadamart transformed image is established. Moments can then be calculated from these coefficients via addition and shift operations except for a negligible amount of multiplication operations. Furthermore, based on the relationship among moments, the higher order ones can be computed from the lower order ones. For the simply connected binary image regions, the amount of computation can be further reduced by projecting the original two-dimensional (2D) image to the x- and y-direction one-dimensional (1D) arrays and tracing the object's boundary to get the values.