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The histogram is a graphical representation in the x-y form of data distribution in a data set. The horizontal x-axis is labeled with what the data represents (for instance, distance from your home to school). The vertical y-axis is labeled either frequency or relative frequency (or percent frequency or probability).
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The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
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A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
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Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
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The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
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Generalized Reversible Data Hiding with Content-Adaptive Operation and Fast Histogram Shifting Optimization.

Limengnan Zhou1, Hongyu Han2, Hanzhou Wu3

  • 1School of Electronic and Information Engineering, Zhongshan Institute, University of Electronic Science and Technology of China, Zhongshan 528402, China.

Entropy (Basel, Switzerland)
|August 6, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a general framework for reversible data hiding (RDH) to simplify the design and improve applicability of RDH systems. The framework enhances payload-distortion performance and reduces complexity for sensitive data applications.

Keywords:
dynamic predictionhistogram shiftingoptimizationreversible data hidingwatermarking

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Area of Science:

  • Computer Science
  • Information Security
  • Digital Forensics

Background:

  • Reversible Data Hiding (RDH) is crucial for sensitive applications needing perfect reconstruction of secret data and host content.
  • Existing RDH algorithms are often empirical and difficult to generalize, limiting their widespread use.
  • A need exists for a more systematic and adaptable approach to RDH system design.

Purpose of the Study:

  • To present a general framework for designing Reversible Data Hiding systems.
  • To facilitate easier design, implementation, and improvement of RDH systems by data hiders.
  • To introduce content-adaptive techniques and optimization for enhanced RDH performance.

Main Methods:

  • A novel framework dividing RDH system design into four key parts: binary-map generation, content prediction, content selection, and data embedding.
  • Integration of content-adaptive techniques within each framework component.
  • Introduction of a Fast Histogram Shifting Optimization (FastHiSO) algorithm for efficient data embedding.
  • Development and testing of two RDH algorithms based on the proposed framework.

Main Results:

  • The proposed framework simplifies RDH system design and enhances applicability.
  • Content-adaptive techniques improve data embedding procedures.
  • FastHiSO algorithm achieves sufficient payload-distortion performance with reduced computational complexity.
  • Demonstrated efficiency and applicability of the framework through two example RDH algorithms.

Conclusions:

  • The general RDH framework offers a systematic approach to designing and improving RDH systems.
  • The introduced techniques can be integrated into advanced RDH algorithms for better performance.
  • The framework is expected to significantly benefit the field of reversible data hiding.