Fractal scale descriptors based on 3d wavelet moments for 3d objects

In this paper, based on 3d wavelet moments we present a new method called fractal scale descriptors for 3d objects. Just like wavelet moments, they are still robust to translation, rotation and scale, and have the multi-resolution features in the radial direction, which can handle noise to some extent and provide multi-level features to satisfy various requirements. Furthermore the new method is prior to the original 3d wavelet moments in computational complexity by using the fast algorithm of the spherical harmonics together with the Mallat algorithm of the wavelets.