Invariant color images representation using accurate quaternion Legendre–Fourier moments

Color image representation using quaternion moments has gained more interest during the last few years. In this paper, invariant color image representation using quaternion Legendre–Fourier moments (QLFMs) is presented. A new method for exact, fast and stable computation of QLFMs in polar coordinates is proposed. Explicit rotation, scaling and translation (RST) invariants of quaternion Legendre–Fourier are derived. Numerical experiments are performed to compare the performance of QLFMs with the existing quaternion moments. The comparison clearly shows the superiority of the proposed method over all existing quaternion moments in terms of image reconstruction capability, RST invariances and numerical stability.

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