THE REVISED FUNDAMENTAL THEOREM OF MOMENT INVARIANTS

The theory of moment invariants for pattern recognition was first introduced by Hu in 1962 [2], when he stated the fundamental theorem of moment invariants. The theorem in the original paper [2] is in fact incorrect; as a result, the four absolute moment invariants under general linear transformations in [2] are in error. This correspondence presents the revised fundamental theorem and gives the corresponding absolute moment invariants under general linear transformations. New invariants based on these but also invariant to changes in illumination are presented.