An Image Compression-Encryption Algorithm Based on Compressed Sensing and Chaotic Oscillator

Ghaffari, Aboozar; Nazarimehr, Fahimeh; Jafari, Sajad; Tlelo-Cuautle, Esteban

doi:10.1007/978-3-030-92166-8_2

Cited by 1 publication

(3 citation statements)

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“…Finally, a meaningless image is computed by the XOR between the compressed image and the chaotic sequence. In the decryption part, all steps are inversed, and the plain image is reconstructed via the 2D-sparse recovery using the SL0 algorithm and the Wiener filtering approach [67]. In the following, the proposed method is investigated.…”

Section: Proposed Image Compression and Encryption Methodsmentioning

confidence: 99%

“…The SL0 optimizes the 0 ℓ norm directly by approximating the 0 ℓ norm with a smooth Gaussian function. Here, 2D-SL0 using the Wiener filter [67] is applied for reconstruction.…”

Section: ( )  mentioning

confidence: 99%

“…I C D ( ) and I s w ( ) are the compressed DCT coefficient matrix and the scrambled wavelet coefficients, respectively. Here, to find the sparse representation, the 2D-SL0 with the Wiener filter [67] is used to recover the cipher image.…”

Section: Y Y Y Ymentioning

confidence: 99%

See 2 more Smart Citations

A new chaotic jerk system with hidden heart-shaped attractor: dynamical analysis, multistability, connecting curves and its application in image encryption

Vivekanandhan,

Natiq,

Ghaffari

et al. 2023

Phys. Scr.

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Application of chaos in modeling natural phenomena and encryption encourages researchers to design new chaotic systems with exciting features. Here a chaotic jerk oscillator with different properties is proposed. Previous studies mainly used non-polynomial and piecewise linear terms to design the attractors' shape. In the paper, the heart-shaped attractor is designed using just polynomial terms. This system is studied by considering its bifurcation diagram, Lyapunov exponent, and basin of attraction. These tools show that the proposed system has chaotic and periodic attractors that coexist in some parameter intervals. The oscillator does not have an equilibrium and has a heart-shaped attractor. Moreover, the connecting curves of the oscillator are considered to explore other structural properties. Numerical results confirm the analytical solutions for the system’s connecting curves. The interesting dynamics of the oscillator are used in an encryption and compression application.

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Section: Proposed Image Compression and Encryption Methodsmentioning

confidence: 99%

“…The SL0 optimizes the 0 ℓ norm directly by approximating the 0 ℓ norm with a smooth Gaussian function. Here, 2D-SL0 using the Wiener filter [67] is applied for reconstruction.…”

Section: ( )  mentioning

confidence: 99%