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Image Encryption Scheme Based on Mixed Chaotic Bernoulli Measurement Matrix Block Compressive Sensing.

Chen Yang1, Ping Pan1, Qun Ding1

  • 1Electronic Engineering College, Heilongjiang University, Harbin 150080, China.

Entropy (Basel, Switzerland)
|February 25, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a novel image encryption method using chaotic block compressive sensing. The proposed algorithm enhances reconstructed image quality at low compression ratios and simplifies hardware implementation, offering robust security.

Keywords:
Bernoulli measurement matrixblock compressive sensingchaotic mapimage encryptiontwo-way diffusion

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Area of Science:

  • Cryptography
  • Image Processing
  • Applied Mathematics

Background:

  • Existing compressive sensing image encryption methods struggle with low compression ratios and hardware complexity.
  • Need for secure and efficient image encryption techniques is growing.

Purpose of the Study:

  • To develop an improved image encryption algorithm addressing limitations of current compressive sensing schemes.
  • To enhance reconstructed image quality and simplify hardware implementation.

Main Methods:

  • A mixed chaotic Bernoulli measurement matrix block compressive sensing approach was employed.
  • Chebyshev and logistic maps were utilized to design a chaotic measurement matrix and generate encrypted sequences.
  • Block compression, non-repetitive scrambling, and a two-way diffusion algorithm based on GF(257) were applied.
  • Secure Hash Algorithm-256 (SHA-256) of the original image was used to initialize chaotic mappings for enhanced security.

Main Results:

  • The proposed scheme demonstrated improved peak signal-to-noise ratio (PSNR) for reconstructed images at low compression ratios.
  • The algorithm exhibited robust security against various attacks.
  • The use of two one-dimensional chaotic maps facilitated easier hardware implementation.

Conclusions:

  • The developed image compression-encryption scheme offers a viable solution for secure and high-quality image transmission.
  • The method effectively balances compression efficiency, reconstruction fidelity, and security.
  • The simplified hardware design makes it suitable for practical applications.