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28 June 2016 Halving the dimension of a single image to be encrypted optically to avoid data expansion
Jiawang Yi, Guanzheng Tan
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Funded by: Natural Science Foundation of China
Optical Engineering, Vol. 55, Issue 6, 064111 (June 2016). https://doi.org/10.1117/1.OE.55.6.064111
Abstract
When directly applying optical transforms, such as fractional Fourier transform (FrFT), to a single image or real image (input image), the resulting image will become complex-valued, which leads to the doubling of data volume. This data expansion problem can be found in many existing single-image optical encryption schemes. We propose a folding technique to offset the data expansion by constructing a complex input image of half size. And we devise an optical single-image encryption scheme based on double FrFTs, in which this technique together with compressed sensing can bring about the possible maximum compression of encrypted images. Moreover, the chaos-based random circular shift for scrambling is introduced to enhance security. The chaotic random signum matrix is also tried as the measurement matrix, and it displays a good performance. Simulation results demonstrate the validity and security of the proposed scheme.
© 2016 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2016/$25.00 © 2016 SPIE
Citation Download Citation
Jiawang Yi and Guanzheng Tan "Halving the dimension of a single image to be encrypted optically to avoid data expansion," Optical Engineering 55(6), 064111 (28 June 2016). https://doi.org/10.1117/1.OE.55.6.064111
Published: 28 June 2016
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KEYWORDS
Image encryption
Image compression
Optical image encryption
Image processing
Transform theory
Computer security
Cameras
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