The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Image encryption using the two-dimensional logistic chaotic map
Abstract
Chaos maps and chaotic systems have been proved to be useful and effective for cryptography. In our study, the two-dimensional logistic map with complicated basin structures and attractors are first used for image encryption. The proposed method adopts the classic framework of the permutation-substitution network in cryptography and thus ensures both confusion and diffusion properties for a secure cipher. The proposed method is able to encrypt an intelligible image into a random-like one from the statistical point of view and the human visual system point of view. Extensive simulation results using test images from the USC-SIPI image database demonstrate the effectiveness and robustness of the proposed method. Security analysis results of using both the conventional and the most recent tests show that the encryption quality of the proposed method reaches or excels the current state-of-the-art methods. Similar encryption ideas can be applied to digital data in other formats (e.g., digital audio and video). We also publish the cipher MATLAB open-source-code under the web page https://sites.google.com/site/tuftsyuewu/source-code.
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Cites
Communication Theory of Secrecy Systems
Shannon, C. E. (1949) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1949.tb00928.x · Cited by 9,440 · cited 1×
“In this paper, we adopt the two-dimensional Logistic map for image encryption in the first time with careful considerations for the diffusion and confusion properties [26] and possible attacks as well.”
MethodA symmetric image encryption scheme based on 3D chaotic cat maps
Chen, G., Mao, Y., & Chui, C. K. (2004) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2003.12.022 · Cited by 2,092
Local Shannon entropy measure with statistical tests for image randomness
Wu, Y., Zhou, Y., Saveriades, G., Agaian, S., Noonan, J. P., & Natarajan, P. (2013) · Information Sciences · doi:10.1016/j.ins.2012.07.049 · Cited by 722
Self-citationA chaos-based symmetric image encryption scheme using a bit-level permutation
Zhu, Z.-L., Zhang, W., Wong, K.-W., & Yu, H. (2011) · Information Sciences · doi:10.1016/j.ins.2010.11.009 · Cited by 662
A block cipher based on a suitable use of the chaotic standard map
Lian, S., Sun, J., & Wang, Z. (2005) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2004.11.096 · Cited by 412
An image encryption approach based on chaotic maps
Zhang, L., Liao, X., & Wang, X. (2005) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2004.09.035 · Cited by 374
Image scrambling encryption algorithm of pixel bit based on chaos map
Ye, G. (2010) · Pattern Recognition Letters · doi:10.1016/j.patrec.2009.11.008 · Cited by 302
Security analysis of a chaos-based image encryption algorithm
Lian, S., Sun, J., & Wang, Z. (2005) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2005.01.001 · Cited by 193
Yang, M., Bourbakis, N., & Li, S. (2004) · IEEE Potentials · doi:10.1109/mp.2004.1341784 · Cited by 105
Cited by
A new 1D chaotic system for image encryption
Zhou, Y., Bao, L., & Chen, C. L. P. (2014) · Signal Processing · doi:10.1016/j.sigpro.2013.10.034 · Cited by 859
Image encryption using a new parametric switching chaotic system
Zhou, Y., Bao, L., & Chen, C. L. P. (2013) · Signal Processing · doi:10.1016/j.sigpro.2013.04.021 · Cited by 265
Encryption-Then-Compression Systems Using Grayscale-Based Image Encryption for JPEG Images
Chuman, T., Sirichotedumrong, W., & Kiya, H. (2019) · IEEE Transactions on Information Forensics and Security · doi:10.1109/tifs.2018.2881677 · Cited by 252
Depreciating motivation and empirical security analysis of chaos-based image and video encryption
Preishuber, M., Hutter, T., Katzenbeisser, S., & Uhl, A. (2018) · IEEE Transactions on Information Forensics and Security · doi:10.1109/tifs.2018.2812080 · Cited by 256
Image encryption algorithm based on 2D hyperchaotic map
Gao, X. (2021) · Optics & Laser Technology · doi:10.1016/j.optlastec.2021.107252 · Cited by 160
Metadata
- Authors
- Wu, Y.
- Venue
- Journal of Electronic Imaging
- Publisher
- SPIE-Intl Soc Optical Eng
- Published
- 2012-03-23
- Volume
- 21
- Issue
- 1
- Pages
- 013014
- ISSN
- 1017-9909 (ISSN-L)
- OpenAlex
- W2052785775
- Cited by
- 318
- References
- 9
- FWCI
- 9.18
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.