Fractional-order orthogonal Chebyshev Moments and Moment Invariants for image representation and pattern recognition

Abstract In this paper, we present a new set of fractional-order orthogonal moments, named Fractional-order Chebyshev Moments (FCM). We initially introduce the necessary relations and properties to define the FCM in the Cartesian coordinates. Then, we provide the theoretical framework to construct the Fractional-order Chebyshev Moment Invariants (FCMI), which are invariants with respect to rotation, scaling and translation transforms. In addition, we devoted a substantial attention to enhance their computational time and numerical accuracy. Consequently, the numerical experiments are carried out to demonstrate the validity of the introduced fractional-order moments and moment invariants in comparison with the classical methods, with regard to image representation capability and object recognition accuracy on several publicly available databases. The presented theoretical and experimental results demonstrate the efficiency and the superiority of the proposed method.

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