A scheme for asymmetric image encryption and authentication based on interference is proposed here by using sparse representation and random modulus decomposition. An original image is encoded into a complex value image in the Fresnel domain and then sparsely sampled to acquire the sparse spectrum. The sparse spectrum generates four phase-only masks using random modulus decomposition and the interference principle. No information concerning the original image, including its silhouette, can be extracted even if one, two, or three of the four phase-only masks are used for decryption. The parameters of random modulus decomposition provide additional keys for further strengthening the security of our scheme, and the four phase-only masks are all employed for decryption and authentication. Numerical simulations are used to verify the feasibility and security of this scheme.

中文翻译：

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基于随机模数分解的干扰方案中的非对称图像加密和认证

本文提出了一种基于干扰的非对称图像加密和认证方案，该方案采用稀疏表示和随机模数分解。将原始图像编码为菲涅耳域中的复值图像，然后进行稀疏采样以获取稀疏频谱。稀疏频谱使用随机模数分解和干涉原理生成四个仅相位掩模。即使四个仅相位掩码中的一个、两个或三个用于解密，也无法提取有关原始图像的信息，包括其轮廓。随机模数分解的参数为进一步加强我们方案的安全性提供了额外的密钥，并且四个仅相位掩码都用于解密和认证。