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

Author:

Romero-Arellano AndrésORCID,Moya-Albor ErnestoORCID,Brieva JorgeORCID,Cruz-Aceves IvanORCID,Avina-Cervantes Juan GabrielORCID,Hernandez-Gonzalez Martha AliciaORCID,Lopez-Montero Luis Miguel

Abstract

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.

Funder

Universidad Panamericana

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Chaotic Retinal Image Encryption Pre-Processing Based on Biometric Key;2024 2nd International Conference on Electrical Engineering and Automatic Control (ICEEAC);2024-05-12

2. Augmented Image Encryption via Moore’s Automaton and Jigsaw Transform;2024 Panhellenic Conference on Electronics & Telecommunications (PACET);2024-03-28

3. A new highly fractal 1D- chaotic map-based novel encryption on HVS-based watermarked Fundus images for 2-level security in teleophthalmology applications;Physica Scripta;2023-11-27

4. A Photoplethysmography Signal Encryption Approach Based on the Modular Derivative and Langton’s Ant;2023 19th International Symposium on Medical Information Processing and Analysis (SIPAIM);2023-11-15

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