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3D medical model encryption based on five-dimensional hyperchaotic systems with 3D Arnold transform and selectable multiple spiral arrangements

Published: 21 October 2024 Publication History

Abstract

In the era of digitization and informatization, 3D models are used in a variety of fields, notably in medicine, engineering and design, seamlessly integrating into people's daily lives. Particularly within the medical field, 3D models enjoy extensive utilization. Consequently, this paper introduces a novel 3D medical model encryption algorithm, designated as 3D3A-SMA. First, a five-dimensional hyperchaotic system with multiple stability is applied to the encryption process of this algorithm. In this encryption algorithm, the vertex data of the 3D model is divided into integer and fractional parts and different diffusion methods are applied to them, respectively. A 3D Arnold spiral subregion diffusion based on chaotic system (3ASDC) is proposed to diffuse the integer part, and then, a selectable multiple spiral arrangement subregion diffusion (SMASD) is proposed to diffuse the fractional part. The simulation results and performance analysis show that the proposed encryption algorithm can accurately encrypt and decrypt the 3D medical model. The numerical results in the performance analysis are very close to the ideal values, with the information entropy of the ciphertext and each dimension reaching 7.998. In addition, the correlation within the ciphertext is also very close to the ideal value of 0.000, The algorithm also shows strong resistance to common attacks.

References

[1]
Ding P, Wang Z, and Li K Design and analysis of image encryption based on memristor chaotic systems with hidden attractors Phys Scr 2024 99 7 075252
[2]
Islam Y, Li C, Sun K, and He S Enhancing image security through an advanced chaotic system with free control and zigzag scrambling encryption Multimed Tools Appl 2024 83 67355-67372
[3]
Lai Q, Liu Y, and Yang L Image encryption using memristive hyperchaos Appl Intell 2023 53 19 22863-22881
[4]
Singh HK and Singh AK Digital image watermarking using deep learning Multimed Tools Appl 2023 83 2979-2994
[5]
Wang X, Ma RT, Xu X, Niu P, and Yang H Non-linear statistical image watermark detector Appl Intell 2023 53 23 29242-29266
[6]
Wang B, Shen L, Zhang J, Xu Z, and Wang N A text image watermarking algorithm based on image enhancement Cmc-Comput Mater Con 2023 77 1 1183-1207
[7]
Wang T, Cheng H, Liu X, Xu Y, Chen F, et al. Lossless image steganography: regard steganography as super-resolution Inform Process Manag 2024
[8]
Qin T, Feng B, Chen B, Peng Z, Xia Z, et al. Moiré pattern generation-based image steganography J Inf Secur Appl 2024
[9]
Zhang L, Lu Y, Li T, and Lu G Joint adjustment image steganography networks Signal Process-Image 2023
[10]
Wang X, Xu M, and Li Y Fast encryption scheme for 3D models based on chaos system Multimed Tools Appl 2019 78 23 33865-33884
[11]
Liang Y, He F, and Li H An asymmetric and optimized encryption method to protect the confidentiality of 3D mesh model Adv Eng Inform 2019
[12]
Gao S, Wu R, Wang X, et al. A 3D model encryption scheme based on a cascaded chaotic system Signal Process 2023 202
[13]
Lu Y, Gong M, Gan Z, et al. Exploiting one-dimensional improved Chebyshev chaotic system and partitioned diffusion based on the divide-and-conquer principle for 3D medical model encryption Chaos Soliton Fract 2023 171
[14]
Gao X, Miao M, and Chen X Multi-image encryption algorithm for 2D and 3D images based on chaotic system Front Phys-Lausanne 2022
[15]
Elkhalil N, Weddy YC, and Ejbali R Image encryption using the new two-dimensional Beta chaotic map Multimed Tools Appl 2023 82 20 31575-31589
[16]
Liu S, Li C, and Li Y A novel image encryption algorithm based on exponent-cosine chaotic mapping J Electron Inf Techn 2022 44 5 1754-1762
[17]
Liu L and Wang J A cluster of 1D quadratic chaotic map and its applications in image encryption Math Comput Simulat 2023 204 89-114
[18]
Shraida GK, Younis HA, Al-Amiedy TA, et al. An efficient color-image encryption method using DNA sequence and chaos cipher Cmc-Comput Mater Con 2023 75 2 2641-2654
[19]
Xue X, Jin H, Zhou D, and Zhou C Medical image protection algorithm based on deoxyribonucleic acid chain of dynamic length Front Genet 2021 12
[20]
Wu Y, Zhang L, Berretti S, and Wang S Medical image encryption by content-aware DNA computing for secure healthcare IEEE T Ind Inform 2023 19 2 2089-2098
[21]
Lee H, Lee J, Kim H, and Mu D Dataset and method for deep learning-based reconstruction of 3D CAD models containing machining features for mechanical parts J Comput Des Eng 2022 9 1 114-127
[22]
Xiao J, Li Y, Tian Y, et al. Visual recognition of cardiac pathology based on 3D parametric model reconstruction Front Inform Technol Electron Eng 2022 23 9 1324-1337
[23]
Mizher MA, Sulaiman R, Abdalla AM, and Mizher MA An improved simple flexible cryptosystem for 3D objects with texture maps and 2D images J Inf Secur Appl 2019 47 390-409
[24]
Xu J, Zhao C, and Mou J A 3D image encryption algorithm based on the chaotic system and the image segmentation IEEE Access 2020 8 145995-146005
[25]
Hu Y, Wang X, and Zhang L 1D sine-map-coupling-logistic-map for 3D model encryption Front Phys-Lausanne 2022 10 1006324
[26]
van Rensburg BJ, Puech W, and Pedeboy J A format compliant encryption method for 3D objects allowing hierarchical decryption IEEE T Multimed 2023 25 7196-7207
[27]
Li S, Zhao R, Guan Q, Chen J, and Zhang Y A 3D model encryption method supporting adaptive visual effects after decryption Adv Eng Inform 2024 59
[28]
Joshi M, Bhatt V, and Ranjan A A single parametrically controlled megastable multiscroll attractor with an unstable node The European Phys J B 2023
[29]
Bhatt V, Ranjan A, and Joshi M CCCCTA-based chua's circuit for chaotic oscillation Circ Syst Signal Pr 2024 43 4 2051-2072
[30]
Joshi M and Ranjan A Dual feedback IRC ring for chaotic waveform generation Iet Circ Device Syst 2021 15 7 595-601
[31]
Zhong H, Li G, and Xu X A generic voltage-controlled discrete memristor model and its application in chaotic map Chaos Soliton Fract 2022 161
[32]
Yu F, Zhang W, Xiao X, et al. Dynamic analysis and FPGA implementation of a new, simple 5D memristive hyperchaotic sprott-C system Mathematics-Basel 2023 11 3 701
[33]
Wu C An improved discrete Arnold transform and its application in image scrambling and encryption Acta Phys Sin-Ch Ed 2014
[34]
Chen H, Du X, and Liu Z Optical hyperspectral data encryption in spectrum domain by using 3D Arnold and gyrator transforms Spectrosc Lett 2016 49 2 103-107
[35]
Xu J and Zhao B Designing an image encryption algorithm based on hyperchaotic system and DCT Int J Bifurcat Chaos 2023 33 2 2350021
[36]
Jin X, Zhaoxing W, Song C, Zhang C, and Li X Chen E, Gong Y, and Tie Y 3d point cloud encryption through chaotic mapping Advances in Multimedia Information Processing - PCM 2016 2016 Cham Springer International Publishing 119-129
[37]
Sun J A 3D image encryption algorithm based on chaos and random cross diffusion Mod Phys Lett B 2021 35 30 2150465
[38]
Jin X, Zhu S, Xiao C, Sun H, Li X, et al. 3D textured model encryption via 3D Lu chaotic mapping Sci China Inf Sci 2017 60 12
[39]
Chu R, Zhang S, and Gao X A novel 3D image encryption based on the chaotic system and RNA crossover and mutation Front Phys 2022
[40]
Xu J, Mou J, Xiong L, Li P, and Hao J A flexible image encryption algorithm based on 3D CTBCS and DNA computing Multimed Tools Appl 2021 80 17 25711-25740
[41]
Raghunandan KR, Dodmane R, Bhavya K, and Sahu AK Chaotic-map based encryption for 3D point and 3D mesh fog data in edge computing IEEE Access 2023 11 3545-3554

Index Terms

  1. 3D medical model encryption based on five-dimensional hyperchaotic systems with 3D Arnold transform and selectable multiple spiral arrangements
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            Published In

            cover image The Journal of Supercomputing
            The Journal of Supercomputing  Volume 81, Issue 1
            Jan 2025
            10308 pages

            Publisher

            Kluwer Academic Publishers

            United States

            Publication History

            Published: 21 October 2024
            Accepted: 02 October 2024

            Author Tags

            1. 3D model
            2. Chaos
            3. Medical science
            4. Selectable multiple spiral arrangements
            5. 3D Arnold transform

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