The several moment families have been reviewed in a first paper [1]. A classification was proposed in order to get a better understanding of their relations. More attention was given to orthogonal moments (in particular Legendre, Zernike, Tchebichef, Krawtchouk, Racah, dual Hahn). Important properties for computer vision applications were just sketched, among which invariance and robustness to noise. These properties may drive the choice of moments when addressing a specific problem. A short, thus non-exhaustive, review of the literature on these issues is proposed in this second paper.