Secure image encryption scheme based on polar decomposition and chaotic map

Oussama, Noui; Beloucif, Assia; Noui, Lemnouar

doi:10.1504/ijict.2017.084339

Cited by 6 publications

(6 citation statements)

References 33 publications

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“…The polar decomposition (PD) [76][77][78][79] is a process of decomposing a system into linearly independent factors. The PD of an image, A(x, y), of the size M × N, is given in Equation (30).…”

Section: Polar Decompositionmentioning

confidence: 99%

Advances in Optical Visual Information Security: A Comprehensive Review

Sachin,

Kumar,

Sakshi

et al. 2024

Photonics

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In the modern era, the secure transmission and storage of information are among the utmost priorities. Optical security protocols have demonstrated significant advantages over digital counterparts, i.e., a high speed, a complex degree of freedom, physical parameters as keys (i.e., phase, wavelength, polarization, quantum properties of photons, multiplexing, etc.) and multi-dimension processing capabilities. This paper provides a comprehensive overview of optical cryptosystems developed over the years. We have also analyzed the trend in the growth of optical image encryption methods since their inception in 1995 based on the data collected from various literature libraries such as Google Scholar, IEEE Library and Science Direct Database. The security algorithms developed in the literature are focused on two major aspects, i.e., symmetric and asymmetric cryptosystems. A summary of state-of-the-art works is described based on these two aspects. Current challenges and future perspectives of the field are also discussed.

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Section: Polar Decompositionmentioning

confidence: 99%

Advances in Optical Visual Information Security: A Comprehensive Review

Sachin,

Kumar,

Sakshi

et al. 2024

Photonics

View full text Add to dashboard Cite

show abstract

“…In linear algebra, polar decomposition is used to factorize the matrices into a set of linearly independent parts, including one rotational matrix and two symmetric ones [42,43]. The polar decomposition of a two-dimensional image, I(x, y), of size M × N is as follows:…”

Section: Polar Decomposition (Pd)mentioning

confidence: 99%

Multi-User Nonlinear Optical Cryptosystem Based on Polar Decomposition and Fractional Vortex Speckle Patterns

Mandapati,

Vardhan,

Prabhakar

et al. 2023

Photonics

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In this paper, we propose a new multiuser nonlinear optical cryptosystem using fractional-order vortex speckle (FOVS) patterns as security keys. In conventional optical cryptosystems, mostly random phase masks are used as the security keys which are prone to various attacks such as brute force attack. In the current study, the FOVSs are generated optically by the scattering of the fractional-order vortex beam, known for azimuthal phase and helical wavefronts, through a ground glass diffuser. FOVSs have a remarkable property that makes them almost impossible to replicate. In the input plane, the amplitude image is first phase encoded and then modulated with the FOVS phase mask to obtain the complex image. This complex image is further processed to obtain the encrypted image using the proposed method. Two private security keys are obtained through polar decomposition which enables the multi-user capability in the cryptosystem. The robustness of the proposed method is tested against existing attacks such as the contamination attack and known-plaintext attack. Numerical simulations confirm the validity and feasibility of the proposed method.

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“…In linear algebra, PD involves factorizing the matrices into linearly independent factors [44][45][46]. PD of a matrix A of size ḿ n can be written as:…”

Section: Polar Decomposition (Pd)mentioning

confidence: 99%

Multiuser optical image authentication platform based on sparse constraint and polar decomposition in Fresnel domain

Sachin¹,

Kumar²,

Singh³

2022

Phys. Scr.

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In this paper, a new multiuser optical image encryption and authentication technique is proposed. Sparse multiplexing and polar decomposition are used in the Fresnel domain to obtain the ciphertext of an input image. To enable the multiuser platform, multiple private keys are obtained through polar decomposition during the encryption process. It will allow multiple authorized users to access the secure information simultaneously without having the key distribution problem among them. The proposed method has a large key space and robust against several attacks, such as, contamination attacks (noise and occlusion), brute force attack, plaintext attacks, and special iterative attack. A comparative analysis of the presented technique is also performed with the similar existing techniques. The numerical simulation results demonstrate the robustness and feasibility of the proposed algorithm.

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Secure image encryption scheme based on polar decomposition and chaotic map

Cited by 6 publications

References 33 publications

Advances in Optical Visual Information Security: A Comprehensive Review

Advances in Optical Visual Information Security: A Comprehensive Review

Multi-User Nonlinear Optical Cryptosystem Based on Polar Decomposition and Fractional Vortex Speckle Patterns

Multiuser optical image authentication platform based on sparse constraint and polar decomposition in Fresnel domain

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