Quaternion cartesian fractional hahn moments for color image analysis

Moment descriptors have been widely used for the analysis and representation of images. In this paper, we propose a new set of discrete orthogonal moments of fractional order, called Quaternion Cartesian Fractional Hahn Moments. The proposed QCFrHMs are based on new Fractional Hahn Polynomials and g...

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Bibliographic Details
Published in:Multimedia tools and applications 2022, Vol.81 (1), p.737-758
Main Authors: Yamni, M., Karmouni, H., Sayyouri, M., Qjidaa, H.
Format: Article
Language:English
Subjects:
Approximation
Cartesian coordinates
Color imagery
Computer Communication Networks
Computer Science
Copyright
Data Structures and Information Theory
Decomposition
Eigenvalues
Image analysis
Kernel functions
Laboratories
Mathematical analysis
Multimedia
Multimedia Information Systems
Parameters
Polynomial matrices
Polynomials
Quaternions
Representations
Special Purpose and Application-Based Systems
Watermarking
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Summary:Moment descriptors have been widely used for the analysis and representation of images. In this paper, we propose a new set of discrete orthogonal moments of fractional order, called Quaternion Cartesian Fractional Hahn Moments. The proposed QCFrHMs are based on new Fractional Hahn Polynomials and generalize the classical Quaternion Hahn Moments. First, FrHPs are proposed and defined using eigenvalue decomposition and the spectral representation of the classical Hahn polynomial matrix. Then, the proposed FrHPs are used as a kernel function to define the new Fractional Hahn Moments. Finally, based on quaternion algebra, the FrHMs for grayscale images are generalized to the QCFrHMs for color images. The proposed QCFrHMs depend on four parameters: two polynomial parameters and two fractional orders, which allow us to use them to propose a robust, blind and efficient watermarking scheme for the copyright protection of color images where the requirements of a watermarking scheme are successfully ensured thanks to the performance of the proposed QCFrHMs. Experimental results are provided to illustrate the effectiveness of the proposed color image descriptors.
ISSN:1380-7501
1573-7721
DOI:10.1007/s11042-021-11432-8