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Related Concept Videos

Transformations of Functions III01:20

Transformations of Functions III

Transformations modify the graphical representation of a function without changing its fundamental form. One common transformation is reflection, which flips the graph across a designated axis. When the vertical coordinates of all points are multiplied by the negative one, the entire graph is mirrored over the horizontal axis. This transformation reverses the vertical orientation of peaks and troughs, akin to signal inversion in electrical systems, where a waveform is flipped, but the timing of...
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Transformations in mathematics alter the position or orientation of a function’s graph while preserving its fundamental shape. One important type of transformation is the horizontal shift, which involves modifying the input variable within a function’s equation. This operation affects where outputs occur along the horizontal axis but does not alter the function’s overall structure.A horizontal shift is achieved by replacing the input variable x with either x + c or x - c, where c is a constant.
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Related Experiment Videos

Reversible watermarking based on invariant image classification and dynamical error histogram shifting.

W Pan1, G Coatrieux, N Cuppens

  • 1Institut Telecom, Telecom Bretagne, Unite INSERM 650 Latim, Technopole Brest-Iroise, CS 83818, 29238 Brest Cedex 3, France. wei.pan@telecom-bretagne.eu

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
|January 19, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a new reversible watermarking method that adaptively selects between Pixel Histogram Shifting (PHS) and Dynamical Error Histogram Shifting (DEHS) for efficient data embedding in images. Experiments show it achieves higher data capacity with less distortion compared to existing techniques.

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Area of Science:

  • Digital Image Processing
  • Information Security
  • Medical Imaging

Background:

  • Reversible watermarking is crucial for embedding data in sensitive images like medical scans without permanent alteration.
  • Existing methods often face limitations in data capacity or introduce noticeable image distortion.
  • Adaptive modulation techniques are needed to optimize watermarking performance based on image characteristics.

Purpose of the Study:

  • To propose a novel reversible watermarking scheme that enhances data capacity and minimizes distortion.
  • To introduce Dynamical Error Histogram Shifting (DEHS) as an adaptive watermarking modulation technique.
  • To validate the proposed method's effectiveness on diverse medical and natural image datasets.

Main Methods:

  • Developed a novel reversible watermarking scheme utilizing adaptive lossless modulation between Pixel Histogram Shifting (PHS) and Dynamical Error Histogram Shifting (DEHS).
  • Employed a reference image, derived from prediction and invariant to watermark addition, to maintain synchronization between embedded and extracted watermarks.
  • Introduced DEHS, which dynamically shifts predict-errors based on local image specificities for optimized watermarking.

Main Results:

  • The proposed method demonstrated superior performance in terms of data insertion capacity compared to state-of-the-art techniques.
  • Experiments showed significantly lower image distortion levels with the novel watermarking scheme.
  • The method proved effective across various medical imaging modalities and natural image datasets.

Conclusions:

  • The novel reversible watermarking scheme offers an effective solution for secure data embedding in images.
  • Adaptive selection between PHS and DEHS, along with the DEHS technique itself, significantly improves watermarking efficiency.
  • The method's ability to embed more data with less distortion makes it highly suitable for medical and natural image applications.