Abstract
A novel compact image encryption system is proposed based on Arnold transformation (AT). In general, AT is a pixel-scramble tool in image encryption, but its security is not high enough as an independent cryptosystem because of its periodicity. Hence, extra diffusion operations are needed to diffuse the pixel values to acquire the higher security. Here an encryption algorithm is proposed by AT. Firstly, the corresponding coordinates of each pixel in original image are calculated by AT. Secondly, the pixel values of the two corresponding coordinates are disturbed by another AT. These two processes can diffuse the pixel values of the original image. At last, the diffused image is pixel scrambled by AT with different parameters. This is the confusion process. In proposed scheme, the diffusing and confusing operations are both realized by AT. At the same time, the image is encrypted as a pixel distribution instead of a data stream. The key space, key sensitivity, the correlation, the cost time and the security of proposed cryptosystem are analyzed and the results confirm that the proposed image encryption algorithm demonstrates extraordinary performance.
Similar content being viewed by others
References
Bhatti UA, Yu ZY, Li J, Nawaz SA, Mehmood A, Zhang K, Yuan LW (2020) Hybrid watermarking algorithm using clifford algebra with Arnold scrambling and chaotic encryption. IEEE Access 8:76386–76398
Boussif M, Aloui N, Cherif A (2020) Securing DICOM images by a new encryption algorithm using Arnold transform and Vigenère cipher. IET Image Process 14(6):1209–1216
Chen GR, Mao YB, Chui CK (2004) A symmetric image encryption scheme based on 3d chaotic cat maps. Chaos Soliton Fract 21(3):749–761
Chen W, Quan C, Tay CJ (2009) Optical color image encryption based on Arnold transform and interference method. Opt Communications 282 (18):3680–3685
Farwa S, Muhammad N, Shah T, Ahmad S (2017) A novel image encryption based on algebraic S-box and Arnold transform. 3D Res 8(3)
Fridrich J (1998) Symmetric ciphers based on two-dimensional chaotic maps. Int J Bifurcat Chaos 8(6):1259–1284
Guan ZH, Huang FJ, Guan WJ (2005) Chaos-based image encryption algorithm. Phys Lett A 346(1-3):153–157
Guo Q, Liu ZJ, Liu ST (2010) Color image encryption by using Arnold and discrete fractional random transforms in IHS space. Opt Laser Eng 48 (12):1174–1181
Hua Z, Zhou Y, Pun CM, Chen CLP (2015) 2D Sine logistic modulation map for image encryption. Inf Sci 297(0):80–94
Jithin KC, Sankar S (2020) Colour image encryption algorithm combining Arnold map, DNA sequence operation, and a Mandelbrot set. J Inf Secur Appl 50:102428
Kshiramani N, Kumar PA, Rohit A (2018) Selective image encryption using singular value decomposition and Arnold transform. Int Arab J Inf Techn 15(4):739–747
Liang XK, Tan X, Tao LM, Hu B (2019) Image hybrid encryption based on matrix nonlinear operation and generalized Arnold transformation. Int J Pattern Recogn 33(6):1954022
Liu XY, Cao YP, Lu P, Lu X, Li Y (2013) Optical image encryption technique based on compressed sensing and Arnold transformation. Optik 124(24):6590–6593
Liu ZJ, Xu L, Liu T, Chen H, Li PF, Lin C, Liu ST (2011) Color image encryption by using arnold transform and color-blend operation in discrete cosine transform domains. Opt Communications 284:123–128
Madhusudhan KN, Sakthivel P (2020) A secure medical image transmission algorithm based on binary bits and Arnold map. J Ambient Intell Human Comput
Ran QW, Yuan L, Zhao TY (2015) Image encryption based on nonseparable fractional fourier transform and chaotic map. Opt Communications 348:43–49
Sneha PS, Sankar S, Kumar AS (2020) A chaotic colour image encryption scheme combining Walsh–Hadamard transform and Arnold–Tent maps. J Ambient Intell Hu- maniz Comput 11:1289–1308
Tang Z, Zhang X (2011) Secure image encryption without size limitation using Arnold transform and random strategies. JMM 6(2):202–206
Wu C, Tian XP (2010) 3-dimensional non-equilateral arnold transformation and its application in image scrambling. J Compute-Aided Design and Graphics 22(10):831–1840
Wu Y, Zhou Y, Agaian S, Noonana JP (2014) A symmetric image cipher using wave perturbations. Signal Process 102(9):122–131
Zhou NR, Yan XY, Liang HR, Tao XR, Li GY (2018) Multi-image encryption scheme based on quantum 3d Arnold transform and scaled zhongtang chaotic system. Quantum Inf Process 17(12)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (No.11947028; No.11874132) and the Fundamental Research Funds for the Central Universities (No.JUSRP12041).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interests
The authors declare that they have no conflict of interest.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wu, J., Liu, Z., Wang, J. et al. A compact image encryption system based on Arnold transformation. Multimed Tools Appl 80, 2647–2661 (2021). https://doi.org/10.1007/s11042-020-09828-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-020-09828-z