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Simultaneous encryption and compression of medical images based on optimized tensor compressed sensing with 3D Lorenz
Qingzhu Wang1, Xiaoming Chen2, Mengying Wei2
1School of Information Engineering, Northeast Dianli University, Jilin, 132012, China. 150681573@qq.com.
Background:
The existing techniques for simultaneous encryption and compression of images refer lossy compression. Their reconstruction performances did not meet the accuracy of medical images because most of them have not been applicable to three-dimensional (3D) medical image volumes intrinsically represented by tensors.
Methods:
We propose a tensor-based algorithm using tensor compressive sensing (TCS) to address these issues. Alternating least squares is further used to optimize the TCS with measurement matrices encrypted by discrete 3D Lorenz.
Results:
The proposed method preserves the intrinsic structure of tensor-based 3D images and achieves a better balance of compression ratio, decryption accuracy, and security. Furthermore, the characteristic of the tensor product can be used as additional keys to make unauthorized decryption harder.
Conclusions:
Numerical simulation results verify the validity and the reliability of this scheme.
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