Abstract
Image encryption is sensitive to various attacks due to the high volume of the data and similarity of the pixels in different images. Therefore, the encryption algorithms should have high complexity so that analyses become difficult or even impossible. Also it should have lower time order to quickly encrypt high-volume pictures. This paper presents a new method with a simple algorithm, low time order and high level of output complexity. Three nonlinear chaotic sequences which are known as three-dimensional logistic maps are used for image encryption. These three random sequences are extracted and used for pixels rows and columns permutations. Finally, the pixels are changed column by column with third chaotic sequence using XOR operator. This method is compared with well-known algorithms. The results show that the correlation coefficient is improved on average by 0.0028, NPCR and UACI values by 0.09972.
Similar content being viewed by others
Notes
Data encryption standard.
International data encryption algorithm.
Advanced encryption standard.
Triple DES.
Cipher block chaining.
Electronic codebook mode.
Unified averaged changed intensity.
References
Lian S (2009) A block cipher based on chaotic neural networks. J Neurocomput 72:1296–1301
Daemen J, Rijmen V (2002) The design of rijndael: AES—The advanced encryption standard. Inf Secur Cryptogr. https://doi.org/10.1007/978-3-662-04722-4
Chen GY, Mao YB, Chui CK (2004) A symmetric image encryption scheme based on 3D chaotic cat maps. J Chaos Solitons Fractals 21:749–76
Alsultanny YA (2008) Random-bit sequence generation from image data. J Image Vis Comput 26(4):592–601
Norouzi B, Seyedzadeh SM, Mirzakuchaki S, Mosavi MR (2013) A novel image encryption based on hash function with only two-round diffusion process. J Multimed Syst 20:45–64
Huang X (2012) Image encryption algorithm using chaotic Chebyshev generator. Nonlinear Dyn 67:2411–2417
Yuzhen L, Xiaodong L, Xin J, Geng Z, Shiming G, Yulu T, Xiaokun Z, Kejun Z, Ziyi W (2015) An image encryption algorithm based on zigzag transformation and 3-dimension chaotic logistic map. In: Proceedings of the international conference (ATIS), pp 3–13
Kabi KK, Saha BG, Chauhan A, Pradhan C (2015) Implementation of new framework for image encryption using Arnold 3D cat map. Adv Intell Syst Comput 339:379–384
Hanchinamani G, Kulkarni L (2015) An efcient image encryption scheme based on a Peter De Jong chaotic map and a RC4 stream cipher. J 3D Res 30:1–15
Chen WH, Luo S, Zheng WX (2016) Impulsive synchronization of reaction diffusion neural networks with mixed delays and its application to image encryption. J IEEE Trans Neural Netw Learn Syst 27:2696–2710
Chai X, Gan Z, Chen Y, Zhang Y (2017) A visually secure image encryption scheme based on compressive sensing. Signal Process 134:35–51
Pawan NK, Narnaware M (2012) 3D chaotic functions for image encryption. Int J Comput Sci 9(3):323–328
Pareek NK, Patidar V, Sud KK (2003) Discrete chaotic cryptography using external key. Phys Lett A 309:75–82
Behnia S, Akhshani A, Ahadpour S, Mahmodi H, Akhavan A (2007) A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps. Phys Lett A 283:391–396
Pisarchik AN, Zanin M (2008) Image encryption with chaotically coupled chaotic maps. Phys D 237:2638–2648
Akhshani A, Behnia S, Akhavan A, Hassan HA, Hassan Z (2010) A novel scheme for image encryption based on 2D piecewise chaotic maps. Opt Commun 283(17):3259–3266
Shannon CE (1949) Communication theory of secrecy systems. Bell Syst Tech J 28:656–715
Chen U, Mao Y, Chui C (2004) A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos Solitons Fractals 21:749–761
Sam S, Devaraj P, Bhuvaneswaran R (2012) A novel image cipher based on a mixed transformed logistic maps. J Multimed Tools Appl 56(2):315–330
Gupta K, Silakari S (2011) New approach for fast color image encryption using chaotic map. J Inf Secur 2:139–150
Rajput AS, Sharma M (2015) A novel image encryption and authentication scheme using chaotic maps. Adv Intell Syst Comput 320:277–286
Chen G H, Yang C L, Xie S L (2006) Gradient-based structural similarity for image quality assessment. In: Proceedings of international conference on image processing, pp 2929–2932
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shokouh Saljoughi, A., Mirvaziri, H. A new method for image encryption by 3D chaotic map. Pattern Anal Applic 22, 243–257 (2019). https://doi.org/10.1007/s10044-018-0765-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10044-018-0765-5