Nonlinear image authentication algorithm based on double fractional Mellin domain

Sachin,; Singh, Phool; Singh, Kehar

doi:10.1007/s11071-023-08540-5

Cited by 10 publications

(5 citation statements)

References 50 publications

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“…Inserting a watermark typically occurs in spatial or frequency domain. The watermark must, however, meet a couple of fundamental conditions: be imperceptible and indelible [16][17][18][19][20]. Imperceptibility refers to a requirement for the watermark to cause minimal deformation to the image, ensuring that the user cannot discern any noticeable difference between watermarked and original images.…”

Section: Watermarkingmentioning

confidence: 99%

“…Fractional-order chaotic systems are receiving particular attention for their possible use in several fields, including secure digital communication, due to a higher degree of freedom and non-linearity, and easier access to information and the presence of more intricate chaotic sequences than integer-order chaotic systems [15][16][17]. The advantage of applying chaotic systems of fractional-order in secured digital communication lies in the increased security of the cryptosystem by incorporating fractional-order derivatives as additional secret key elements.…”

Section: Introductionmentioning

confidence: 99%

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Robust digital image watermarking scheme with a fractional-order discrete-time chaotic scheme and DWT-SVD transform

Hannoun,

Hamiche,

Lahdir

et al. 2024

Phys. Scr.

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A robust digital image watermarking system with a fractional-order discrete-time chaotic system and discrete wavelet transform-singular value decomposition is presented. The inclusion method inserts an encrypted image into the dynamics of an integer-order discrete-time chaotic system and the resulting cipher serves as a host image watermark. A watermarking function (DWT-SVD transform) watermarks a host image before the watermark is extracted and decrypted at the receiver. As a contribution, our suggested approach introduces a new watermarking system based on discrete-time chaotic systems, as well as a hybridization of integer and fractional-order systems to ensure the watermarking scheme’s robustness. Our method achieved good results in terms of robustness, with normalized cross correlation values above 0.99 when subjected to a range of attacks. Results of the simulation underline practicality and robustness achieved by this approach. They also indicate that the proposed system resists various attacks.

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Section: Watermarkingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust digital image watermarking scheme with a fractional-order discrete-time chaotic scheme and DWT-SVD transform

Hannoun,

Hamiche,

Lahdir

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…The output D 2 is subjected to an inverse fractional Hartley transform and then bonded with conjugate of random phase mask (RPM1) to get decrypted DICOM image. Mathematically, step 3 is expressed in equation (12),…”

Section: Decryption Processmentioning

confidence: 99%

“…Researchers have proposed optical encryption algorithms using various canonical transforms such as Fresnel transform [3,4], Gyrator transform [5][6][7], and Hartley transform [8]. Subsequently, optical encryption algorithms based on fractional Fourier transform (FrFT) [5,[9][10][11], fractional Mellin transform [12,13] and fractional Hartley transform [14] have been proposed. The utilization of fractional transforms offers significant benefits over full transforms.…”

Section: Introductionmentioning

confidence: 99%

Watermarking algorithm based on phase-only CGH in fractional Hartley domain for DICOM images

Yadav,

Sachin,

Singh

2024

J. Opt.

Self Cite

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In this manuscript, we proposed a watermarking algorithm based on phase-only computer-generated holography (CGH) in the fractional Hartley domain for digital imaging and communications in medicine (DICOM) images. The proposed algorithm improves the security of the CGH-based algorithm. The cascaded use of fractional Hartley transform and attenuation factor β increases the keyspace of the proposed watermarking algorithm. The robustness and effectiveness of the proposed watermarking algorithm is validated using simulations on DICOM images. The effectiveness of the proposed watermarking algorithm is assessed using statistical tools in terms of mean-squared error, information entropy, correlation coefficient, histogram, and mesh plots. The robustness is evaluated by testing the proposed algorithm’s performance under real-time threats, including contamination and data loss attacks. Furthermore, the security of the proposed algorithm is also tested for existing cryptographic attacks, such as chosen-plaintext attacks, and known-plaintext attacks. The simulation results indicate that the proposed watermarking algorithm is robust and effective.

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“…Most natural phenomena in the real world are nonlinear by their very nature. The problem of nonlinearity has attracted the attention of physicists, engineers, biologists, mathematicians and many other scientists [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In order to better understand nonlinear phenomena and reveal their intrinsic laws, a large number of nonlinear mathematical models have been proposed in many fields, and these mathematical models are mostly nonlinear partial differential equations [18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

New exact solitary waves for the Sasa-Satsuma model with variable coefficients

Liu,

Duan

2024

Phys. Scr.

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In this paper, we investigate the variable coefficients Sasa-Satsuma model, which can describe the propagation of a light pulse in a cylindrical fiber. We study this model and obtain rich solutions using two separate methods. We obtain analytical Weierstrass elliptic function solutions using the Weierstrass elliptic function expansion method. Some Jacobi elliptic function solutions are obtained using the modified Jacobi elliptic function expansion method. When the Jacobi elliptic function degenerates, we obtain the corresponding trigonometric, hyperbolic function solutions and periodic solutions. We also try to take the coefficients of the equation as some functions and obtain some more complicated exact solutions, which have not appeared in previous studies. Finally, we simulate some waveform diagrams of the solutions using the computer software Mathematica and obtain periodic waves, bright and dark soliton, double solitons and some complex periodic waves. With these waveform diagrams, we can observe the dynamical behavior of the solutions more clearly.

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Nonlinear image authentication algorithm based on double fractional Mellin domain

Cited by 10 publications

References 50 publications

Robust digital image watermarking scheme with a fractional-order discrete-time chaotic scheme and DWT-SVD transform

Robust digital image watermarking scheme with a fractional-order discrete-time chaotic scheme and DWT-SVD transform

Watermarking algorithm based on phase-only CGH in fractional Hartley domain for DICOM images

New exact solitary waves for the Sasa-Satsuma model with variable coefficients

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