IEEE Transactions on Pattern Analysis and Machine Intelligence
Moments estimation in Radon space
Pattern Recognition Letters
Degraded Image Analysis: An Invariant Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of the blurred image by complex moment invariants
Pattern Recognition Letters
Image reconstruction from a complete set of similarity invariants extracted from complex moments
Pattern Recognition Letters
Image analysis by Bessel-Fourier moments
Pattern Recognition
Combined invariants to blur and rotation using Zernike moment descriptors
Pattern Analysis & Applications
Blur identification using the bispectrum
IEEE Transactions on Signal Processing
Generic radial orthogonal moment invariants for invariant image recognition
Journal of Visual Communication and Image Representation
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The idea of scale and rotation invariant image recognition based on Radon and Fourier-Mellin transforms has been presented recently. In this paper, we extend the previous work and propose a new method to construct a set of combined blur, translation, scale and rotation invariants using Radon and pseudo-Fourier-Mellin transforms, named Radon and pseudo-Fourier-Mellin invariants (RPFMI). The proposed method is robust to additive white noise as a result of summing pixel values to generate projections in the Radon transform step. We also present a mathematical framework of obtaining the Radon and pseudo-Fourier-Mellin transforms of blurred images, and a framework of deriving the combined blur, scale and rotation invariants. Theoretical and experimental results show the superiority of the proposed method and its robustness to additive white noise in comparison with some recent methods.