A Color Image Encryption Using Four Dimensional Differential Equations and Arnold Chaotic Map

Jaroli, Priyanka; Bisht, Ankita; Dua, Mohit; Dua, Shelza

doi:10.1109/icirca.2018.8597310

Cited by 13 publications

(3 citation statements)

References 14 publications

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“…In Section 3.3, we calculated the entropy for a healthy patient obtaining an average for its three channels of 7.999988, while for a non-healthy patient, it was 7.999989. From Equation (14), for an 8-bit gray level image with 256 equiprobable symbols, the ideal entropy value would be 8. The entropy values obtained show that the proposed encryption method generates images close to a random distribution with a uniform probability density function.…”

Section: Discussionmentioning

confidence: 99%

“…In addition, a histogram shifting method was adopted as reversible data hiding. Jaroli et al [14] proposed a color image encryption based on four-dimensional differential equations chaotic map and Arnold map. In [15] Gao et al presented an encryption scheme based on fractional-order hyperchaotic systems and multi-image fusion, where the authors performed an analysis of the circuit and the dynamic of the chaotic system.…”

Section: Introductionmentioning

confidence: 99%

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Image Encryption and Decryption System through a Hybrid Approach Using the Jigsaw Transform and Langton’s Ant Applied to Retinal Fundus Images

Romero-Arellano

Moya-Albor

Brieva

et al. 2021

Axioms

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In this work, a new medical image encryption/decryption algorithm was proposed. It is based on three main parts: the Jigsaw transform, Langton’s ant, and a novel way to add deterministic noise. The Jigsaw transform was used to hide visual information effectively, whereas Langton’s ant and the deterministic noise algorithm give a reliable and secure approach. As a case study, the proposal was applied to high-resolution retinal fundus images, where a zero mean square error was obtained between the original and decrypted image. The method performance has been proven through several testing methods, such as statistical analysis (histograms and correlation distributions), entropy computation, keyspace assessment, robustness to differential attack, and key sensitivity analysis, showing in each one a high security level. In addition, the method was compared against other works showing a competitive performance and highlighting with a large keyspace (>1×101,134,190.38). Besides, the method has demonstrated adequate handling of high-resolution images, obtaining entropy values between 7.999988 and 7.999989, an average Number of Pixel Change Rate (NPCR) of 99.5796%±0.000674, and a mean Uniform Average Change Intensity (UACI) of 33.4469%±0.00229. In addition, when there is a small change in the key, the method does not give additional information to decrypt the image.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Image Encryption and Decryption System through a Hybrid Approach Using the Jigsaw Transform and Langton’s Ant Applied to Retinal Fundus Images

Romero-Arellano

Moya-Albor

Brieva

et al. 2021

Axioms

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“…The types of information exchange have undergone a radical transformation during last few decades. In the recent scenario, we exchange our most of the information in the form of digital images using electronic devices such as computers or mobiles [1][2][3][4]. Hence, security of digital images is a matter of great concern.…”

Section: Introductionmentioning

confidence: 99%

An ILM-cosine transform-based improved approach to image encryption

Dua

Suthar

Garg

et al. 2020

Complex Intell. Syst.

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The chaos-based cryptography techniques are used widely to protect digital information from intruders. The chaotic systems have some of special features that make them suitable for the purpose of encryption. These systems are highly unpredictable and are highly sensitive or responsive to the initial conditions, also known as butterfly effect. This sensitive dependence on initial conditions make these systems to exhibit an intricate dynamical behaviour. However, this dynamical behaviour is not much complex in simple one-dimensional chaotic maps. Hence, it becomes easy for an intruder to predict the contents of the message being sent. The proposed work in this paper introduces an improved method for encrypting images, which uses cosine transformation of 3-D Intertwining Logistic Map (ILM). The proposed approach has been split into three major parts. In the first part, Secure Hash Function-256 (SHA-256) is used with cosine transformed ILM (CT-ILM) to generate the chaotic sequence. This chaotic sequence is used by high-efficiency scrambling to reduce the correlations between the adjacent pixels of the image. In the second part, the image is rotated to move all the pixels away from their original position. In the third part, random order substitution is applied to change the value of image pixels. The effectiveness of the proposed method has been tested on a number of standard parameters such as correlation coefficient, Entropy and Unified average change in intensity. The proposed approach has also been tested for decryption parameters like mean square error and peak signal to noise ratio. It can easily be observed from the obtained results that the proposed method of image encryption is more secure and time efficient than some earlier proposed techniques. The approach works for both color and grey scale images.

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A novel exponent–sine–cosine chaos map-based multiple-image encryption technique

Kumar,

Dua

2024

Multimedia Systems

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A Color Image Encryption Using Four Dimensional Differential Equations and Arnold Chaotic Map

Cited by 13 publications

References 14 publications

Image Encryption and Decryption System through a Hybrid Approach Using the Jigsaw Transform and Langton’s Ant Applied to Retinal Fundus Images

Image Encryption and Decryption System through a Hybrid Approach Using the Jigsaw Transform and Langton’s Ant Applied to Retinal Fundus Images

An ILM-cosine transform-based improved approach to image encryption

A novel exponent–sine–cosine chaos map-based multiple-image encryption technique

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