Towards absolute invariants of images under translation, rotation, and dilation
Pattern Recognition Letters
A complete invariant description for gray-level images by the harmonic analysis approach
Pattern Recognition Letters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Representations that uniquely characterize images modulo translation, rotation, and scaling
Pattern Recognition Letters
Computer Vision and Image Understanding
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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.