Single-pixel imaging encryption based on 2D coupled Logistic mapping

A secure single-pixel imaging (SPI) method which based on 2D Logistic map is proposed in this paper. A 2D Logistic map combined with its key and the asymmetric ratio is utilized to generate the asymmetric measurement matrices and encrypt the measurements. Compared with the existing secure SPI methods, the proposed method achieves the same security and the asymmetric measurement matrices suppress the noise effectively with a better imaging quality. The key of the chaos system combined with the asymmetric ratio in the asymmetric measurement matrices are transmitted in the secret channel instead of the measurement matrices. Based on the proposed strategy, transmitted data size is reduced. Simulation results show that our method achieves advantages in image quality and security. The proposed strategy can also drop the transmitted data size and computational complexity.