Chaotic systems are widely used in signal and image encryption schemes. Therefore, the
design of new chaotic systems is always useful for improving the performance of encryption …

In order to improve the performance of the Meixner moments, we suggest in this article a
new set of Fractional Discrete Meixner Polynomials (FrDMPs), a sort of a generalization of …

This paper proposes a new set of discrete orthogonal separable moments of fractional order,
named Fractional Charlier–Meixner Moments (FrCMMs). The latter are constructed from …

In this paper, we propose efficient methods for the reconstruction, compression, compressive
sensing (CS) and encryption of 1D signals. The proposed reconstruction method is based …

In this paper, we present a novel discrete orthogonal transformation called the separable
Charlier-Krawtchouk transformation of fractional order (FrCKTs). This bivariate …

In this article, we will present a new set of hybrid polynomials and their corresponding
moments, with a view to using them for the localization, compression and reconstruction of …

Discrete orthogonal moments such as Hahn moments are powerful tools for image analysis,
especially for the reconstruction of 2D and 3D images. Several methods have been …

This article presents a new series of invariant moments, called Fractional-order Generalized
Laguerre Moment Invariants (FGLMI), based on Fractional-order Generalized Laguerre …

In this article, we propose a novel approach to accelerate the processing of 3D images by
the discrete orthogonal moments of Charlier. The proposed approach is based on two …

We propose a new algorithm for accelerating the computation time of Charlier discrete
orthogonal moments for three-dimensional (3D) images, based on two fundamental notions …