  A new kind of geometric invariants is proposed in this paper, which is called
affine weighted moment invariant (AWMI). By combination of local affine
differential invariants and a framework of global integral, they can more
effectively extract features of images and help to increase the number of
low-order invariants and to decrease the calculating cost. The experimental
results show that AWMIs have good stability and distinguishability and achieve
better results in image retrieval than traditional moment invariants. An
extension to 3D is straightforward.
