Invariant moments are widely used in the pattern recognition due to their special physics property.But the related computation for orthogonal moments usually adopts the polar coordinate transformation of the image function.Therefore,the problem of quantized error and computation complexity has not been solved well yet.An improved algorithm to compute Pseudo-Jacobi-Fourier moments(PJFM′s) directly in the Cartesian coordinate system is proposed in this paper.Then we apply this improved algorithm t...