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Color image encryption based on chaotic compressed sensing and two-dimensional fractional Fourier transform
1School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China. wangxy@dlut.edu.cn.
Scientific Reports
|October 30, 2020
Summary
This study presents a novel color image encryption algorithm using a structural chaotic measurement matrix and random phase mask. The method achieves simultaneous compression and encryption, enhancing security and efficiency.
Area of Science:
- Computer Science
- Information Security
- Applied Mathematics
Background:
- Traditional image encryption methods face challenges in balancing security and efficiency.
- The integration of chaotic systems and compressed sensing offers potential for robust image encryption.
Purpose of the Study:
- To develop a novel color image encryption algorithm.
- To leverage structured random measurement matrices and chaotic dynamics for enhanced security.
- To achieve simultaneous compression and encryption of digital images.
Main Methods:
- Utilizing a structural chaotic measurement matrix and random phase mask for encryption.
- Employing Chebyshev chaotic sequences to generate permutation matrices, sampling subsets, and chaotic cyclic matrices.
- Implementing compressed sensing for simultaneous image compression and encryption.
- Applying two-dimensional fractional Fourier transform for re-encryption.
Main Results:
- The proposed algorithm effectively encrypts color images.
- Simultaneous compression and encryption are achieved, reducing data size and enhancing security.
- Simulation experiments validate the algorithm's effectiveness and reliability.
Conclusions:
- The developed algorithm offers a secure and efficient approach to color image encryption.
- The combination of structured chaotic matrices, compressed sensing, and fractional Fourier transform provides a robust encryption framework.
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