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A Novel 1D Hybrid Chaotic Map-Based Image Compression and Encryption Using Compressed Sensing and Fibonacci-Lucas Transform
Joint Authors
Yuan, Min
Zhang, Tongfeng
Li, Shouliang
Ge, Rongjun
Ma, Yide
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A one-dimensional (1D) hybrid chaotic system is constructed by three different 1D chaotic maps in parallel-then-cascade fashion.
The proposed chaotic map has larger key space and exhibits better uniform distribution property in some parametric range compared with existing 1D chaotic map.
Meanwhile, with the combination of compressive sensing (CS) and Fibonacci-Lucas transform (FLT), a novel image compression and encryption scheme is proposed with the advantages of the 1D hybrid chaotic map.
The whole encryption procedure includes compression by compressed sensing (CS), scrambling with FLT, and diffusion after linear scaling.
Bernoulli measurement matrix in CS is generated by the proposed 1D hybrid chaotic map due to its excellent uniform distribution.
To enhance the security and complexity, transform kernel of FLT varies in each permutation round according to the generated chaotic sequences.
Further, the key streams used in the diffusion process depend on the chaotic map as well as plain image, which could resist chosen plaintext attack (CPA).
Experimental results and security analyses demonstrate the validity of our scheme in terms of high security and robustness against noise attack and cropping attack.
American Psychological Association (APA)
Zhang, Tongfeng& Li, Shouliang& Ge, Rongjun& Yuan, Min& Ma, Yide. 2016. A Novel 1D Hybrid Chaotic Map-Based Image Compression and Encryption Using Compressed Sensing and Fibonacci-Lucas Transform. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112602
Modern Language Association (MLA)
Zhang, Tongfeng…[et al.]. A Novel 1D Hybrid Chaotic Map-Based Image Compression and Encryption Using Compressed Sensing and Fibonacci-Lucas Transform. Mathematical Problems in Engineering No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1112602
American Medical Association (AMA)
Zhang, Tongfeng& Li, Shouliang& Ge, Rongjun& Yuan, Min& Ma, Yide. A Novel 1D Hybrid Chaotic Map-Based Image Compression and Encryption Using Compressed Sensing and Fibonacci-Lucas Transform. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112602
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112602