Abstract An optical color image encryption method based on Hadamard single-pixel imaging (SPI) and Arnold transformation is proposed, in which, optical full-color image encryption with good imaging quality and high security performance can be accomplished by only one bucket detector (BD). In the encryption process, after controlling and modulating the Hadamard matrix by the coefficient matrix key, three different sets of colored Hadamard patterns are generated to be projected onto the target colored object; Subsequently, the collected experimental data: R, G, and B components are detected by a BD, which are then scrambled by Arnold transformation to further increase the security; Finally the colored ciphertext image can be recombined and obtained to transferring to the receivers. During the decryption, with the colored ciphertext and all the corrected keys, the original secret color image can be successfully decrypted by the extraction of R, G, B components, inverse Arnold transformation, the correlated computation in SPI, and inverse Hadamard transformation. The feasibility of this method and its robustness against some types of attacks are verified by both computer simulations and optical experiments.

中文翻译：

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基于Hadamard单像素成像和Arnold变换的光学彩色图像加密

摘要 提出了一种基于Hadamard单像素成像(SPI)和Arnold变换的光学彩色图像加密方法，该方法仅通过一个桶检测器(BD)即可完成成像质量好、安全性能高的光学全彩色图像加密。 ）。在加密过程中，通过系数矩阵密钥对Hadamard矩阵进行控制和调制后，生成三组不同的彩色Hadamard图案投影到目标彩色物体上；随后，将采集到的实验数据：R、G、B成分通过BD检测，再通过Arnold变换进行加扰，进一步提高安全性；最后可以重新组合并获得彩色密文图像以传输到接收器。在解密过程中，使用彩色密文和所有校正后的密钥，通过提取R、G、B分量、逆Arnold变换、SPI中的相关计算和逆Hadamard变换，可以成功解密原始秘密彩色图像。通过计算机模拟和光学实验验证了该方法的可行性及其对某些类型攻击的鲁棒性。