Abstract
Compressed sensing (CS) can be considered as a symmetric cryptosystem. However, it faces two challenges. The first challenge is privacy-preserving, including the small key space and energy leakage. The second challenge is that the measurements with different compression rates have to be transmitted to recover images for different requirements, i.e., transmission explosion. To this end, we investigate a two-layer controllable recovery strategy for privacy-preserving double-compressed images. Firstly, we employ perturbation CS to compress and encrypt the double permuted images simultaneously, which can increase key space. Secondly, a normalized quantization is designed for the fused image, and it aims to save transmission consumption and conceal energy perfectly. Finally, a two-layer controllable recovery strategy is designed for real-world requirements, which avoids the transmission of measurements with different compression rates. Our experimental results and analyses demonstrate the feasibility and effectiveness of the proposed scheme.
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