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    Area of Science:

    • Digital Image Processing
    • Information Security
    • Computer Science

    Background:

    • Reversible data hiding using histogram shifting (HS) is crucial for stego-image quality.
    • Conventional HS methods struggle with optimal selection of side information (peak and zero bins) due to computational complexity and large solution spaces.
    • Empirical criteria in existing schemes often fail to achieve globally optimal reversible embedding.

    Purpose of the Study:

    • To formulate HS-based multiple embedding as a rate and distortion optimization problem.
    • To develop a novel scheme for adaptively determining optimal peak and zero bins for enhanced reversible data hiding.
    • To improve embedding capacity and stego-image quality in HS-based reversible data hiding.

    Main Methods:

    • Developed a rate and distortion model for HS-based multiple embedding.
    • Derived two key propositions for efficient distortion computation and solution space reduction.
    • Employed a genetic algorithm to search for nearly optimal zero and peak bins.

    Main Results:

    • The proposed scheme adaptively determines the number and values of peak and zero bin pairs for a given data payload.
    • Experimental results show superior performance in embedding capacity compared to previous approaches.
    • The method achieves better stego-image quality than existing HS-based reversible embedding schemes.

    Conclusions:

    • The developed optimization framework provides a superior approach to HS-based multiple reversible data hiding.
    • The genetic algorithm effectively searches for optimal parameters, overcoming limitations of empirical methods.
    • This research significantly advances the field of reversible data hiding by improving both capacity and quality.