Abstract

In this paper, we propose two complete sets of similarity invariant descriptors under the Fourier-Mellin Transform and the Analytical Fourier-Mellin Transform (AFMT) frameworks respectively. Furthermore, their numerical properties are presented and be revealed through image reconstruction. Experimental results indicate that our proposed invariant descriptors can fully reconstruct the original image eliminating any existing similarity transformation (such as rotation, translation and scale) from the original image.