基于非对称密码系统的彩色图像加密技术

为了实现对彩色图像的加密,提出一种基于傅里叶变换和非对称密钥加密系统的加密方法。把彩色图像分成三基色分量:红,绿,蓝。然后对这3帧灰度图像的傅里叶频谱进行截取,合成一个目标图像,该目标图像包含了原始彩色图像的大部分信息。对此目标图像的幅度和相位分别用非对称密钥加密系统加密,即实现了彩色图像的加密。 给出了理论分析和计算机模拟结果,实验结果证实了该方法的可行性。     

Optical color image encryption based on an asymmetric cryptosystem in the Fresnel domain

In recent years, optical color image encryption has attracted much attention in the information security field. Some approaches, such as digital holography, have been proposed to encrypt color images, but the previously proposed methods are developed based on optical symmetric cryptographic strategies. In this paper, we apply an optical asymmetric cryptosystem for the color image encryption instead of conventional symmetric cryptosystems. A phase-truncated strategy is applied in the Fresnel domain, and multiple-wavelength and indexed image methods are further employed. The security of optical asymmetric cryptosystem is also analyzed during the decryption. Numerical results are presented to demonstrate the feasibility and effectiveness of the proposed optical asymmetric cryptosystem for color image encryption.     

基于双相位编码的单通道彩色图像加密

提出一种基于双相位编码的单通道彩色图像加密方法. 在该方法中,将彩色图像转换到HSI空间,I分量即可作为相位编码的原始待加密图像;而采用双随机相位加密技术对S分量加密后得到的相息图,与H分量一起构成了对I分量加密的双相位. 由于双随机相位加密技术有很高的安全性,在不知密钥的情况下解出S分量几乎是不可能的,由此保证了彩色图像加密的安全性. 模拟实验结果证明了该方法的有效性. 关键词： 彩色图像 单通道 双相位编码     

An asymmetric single-channel color image encryption based on Hartley transform and gyrator transform

A novel asymmetric single-channel color image encryption using Hartley transform and gyrator transform is proposed. A color image is segregated into R, G, and B channels and then each channel is independently Hartley transformed. The three transformed channels are multiplied and then phase- and amplitude truncated to obtain first encrypted image and first decryption key. The encoded image is modulated with a conjugate of random phase mask. The modulated image is gyrator transformed and then phase- and amplitude truncated to get second encrypted image and second decryption key. The asymmetric (decryption) keys, random phase mask, and transformation angle of gyrator transform serve as main keys. The optoelectronic encryption and decryption systems are suggested. Numerical simulation results have been demonstrated to verify the performance and security of the proposed security system.     

Single-channel color image encryption using phase retrieve algorithm in fractional Fourier domain

A single-channel color image encryption is proposed based on a phase retrieve algorithm and a two-coupled logistic map. Firstly, a gray scale image is constituted with three channels of the color image, and then permuted by a sequence of chaotic pairs generated by the two-coupled logistic map. Secondly, the permutation image is decomposed into three new components, where each component is encoded into a phase-only function in the fractional Fourier domain with a phase retrieve algorithm that is proposed based on the iterative fractional Fourier transform. Finally, an interim image is formed by the combination of these phase-only functions and encrypted into the final gray scale ciphertext with stationary white noise distribution by using chaotic diffusion, which has camouflage property to some extent. In the process of encryption and decryption, chaotic permutation and diffusion makes the resultant image nonlinear and disorder both in spatial domain and frequency domain, and the proposed phase iterative algorithm has faster convergent speed. Additionally, the encryption scheme enlarges the key space of the cryptosystem. Simulation results and security analysis verify the feasibility and effectiveness of this method.     

基于Q-plate的双图像非对称偏振加密

基于Q-plate提出了一种对两幅图像做非对称偏振加密的新方法.在该方法中,首先,将待加密的两幅图像通过干涉分解成两块纯相位板;其次,将这两块纯相位板分别编码到偏振光的两个正交分量中;最后,利用Q-plate和像素化的偏振片改变这束光的偏振分布,达到对图像的加密效果,用电荷耦合器件接收输出面的强度分布图作为最终的密文.其中一块纯相位板作为解密密钥.算法的解密密钥不同于加密密钥,由此实现了非对称加密.由于Q-plate是电调控的,它的每个像素点的光轴各不相同,所以能够根据描述变面结构空间旋转率的常数q来改变每个像素的偏振态.加密过程中用Q-plate的q值和像素化的偏振片的偏振角度作为加密密钥,这两个加密密钥具有很高的敏感性,极大地提高了算法的安全性.数值模拟结果验证了该方法的可行性和有效性.     

基于不对称非标准傅里叶变换的光学图像加密

针对以往光学图像加密系统中输入面和频谱面对称性的缺点，在不增加系统元件的基础上，利用球面波照射不对称非标准傅里叶变换系统进行图像加密。通过把相位掩模置于该系统的傅里叶变换平面，利用不对称非标准傅里叶变换系统的输入面和频谱面的不对称性以及频谱面对于点光源相关参数的依赖性，克服了以前光学加密系统中输入面和频谱面的对称性所带来的安全隐患，并且获得了除相位掩模以外的另外四重密匙。理论分析和模拟实验表明：该方法不仅可行，而且多增加了几重密匙，增强了系统的安全性能。     

Optical image asymmetric cryptosystem using fingerprint based on iterative fraction Fourier transform

A novel asymmetric cryptosystem for optical image is proposed using fingerprint based on iterative fractional Fourier transform. To enhance the security, a hyperchaotic phase generated by a 4D Lorenz system is considered as the public key in the proposed encryption system, while the private key is emerged by the retrieved phase and fingerprint. In the encryption process, the secret information is hid into the hyperchaotic phase. Subsequently, the private key can be obtained by a reversible operation. To decrypt the original image, the ciphertext and private key are imported into the input plane of fractional Fourier system. This system is also applicable for information authentication because the fingerprint is used both in encryption and decryption approach. Some numerical simulations have been done to test the validity and capability of the encryption system.     

Cryptanalysis of a color image encryption algorithm based on chaos

A novel image encryption algorithm based on logistic map is proposed recently. In this paper, a chosen plaintext attack on this algorithm is presented and some other flaws of the algorithm are pointed out. Theoretical analysis and experimental simulation indicate that the plain image can be recovered exactly from the cipher image without secret key. Therefore, this algorithm is not secure enough for practical applications. An improvement is proposed to enhance the security of the original algorithm. Simulation results and theoretical analysis show that the improved scheme has expected cryptographic properties and is more secure than the original algorithm.     

A lightweight symmetric image encryption cryptosystem in wavelet domain based on an improved sine map

In the era of big data, the number of images transmitted over the public channel increases exponentially. As a result,it is crucial to devise the efficient and highly secure encryption method to safeguard the sensitive image. In this paper, an improved sine map(ISM) possessing a larger chaotic region, more complex chaotic behavior and greater unpredictability is proposed and extensively tested. Drawing upon the strengths of ISM, we introduce a lightweight symmetric image encryption cryptosystem ...     

Optical color image encryption based on Arnold transform and interference method

In this paper, we propose a novel method to encrypt a color image based on Arnold transform (ART) and interference method. A color image is decomposed into three independent channels, i.e., red, green and blue, and each channel is then encrypted into two random phase masks based on the ART and interference method. Light sources with corresponding wavelengths are used to illuminate the retrieved phase-only masks during image decryption. The influence of security parameters on decrypted images is also analyzed. Numerical simulation results are presented to illustrate the feasibility and effectiveness of the proposed method.     

Asymmetric optical cryptosystem for color image based on equal modulus decomposition in gyrator transform domains

An enhanced asymmetric cryptosystem for color image is proposed by using equal modulus decomposition (EMD) in the gyrator transform domains. In this scheme, the EMD is performed to create the effective trapdoor one-way function. Moreover, to enhance the security of the cryptosystem, the Baker mapping is considered and utilized for scrambling the RGB components of the color image. The parameters in the Baker mapping and gyrator transform can be served as the extra keys of the entire cryptosystem. Various types of attacks are considered in the robustness analysis experiments. Some numerical simulations are made to verify the validity and capability of the proposed color encryption algorithm.     

Novel color image encryption algorithm based on the reality preserving fractional Mellin transform

A nonlinear color image encryption algorithm based on reality preserving fractional Mellin transform (RPFrMT) is proposed. So far as image encryption is concerned, RPFrMT has two fascinating advantages: (1) the real-valued output of the transform ensures that the ciphertext is real which is convenient for display, transmission and storage; (2) as a nonlinear transform, RPFrMT gets rid of the potential insecurity which exists in the conventional linear encryption schemes. The original color image is first transformed from RGB color space to R′G′B′ color space by rotating the color cube. The three components of the output are then transformed by RPFrMT of different fractional orders. To further enhance the security of the encryption system, the result of the former step is scrambled by three dimensional scrambling. Numerical simulations demonstrate that the proposed algorithm is feasible, secure, sensitive to keys and robust to noise attack and occlusion. The proposed color image encryption can also be applied to encrypt three gray images by transforming the gray images into three color components of a specially constructed color image.     

Novel single-channel color image encryption algorithm based on chaos and fractional Fourier transform

A new color image encryption algorithm based on fractional Fourier transform (FrFT) and chaos is proposed. The colors of the original color image are converted to HSI (hue-saturation-intensity), and the S component is transformed by the random-phase encoding based on FrFT to obtain a new random phase. The I component is transformed by double random-phase encoding based on FrFT using the H component and the new random phase as two phase plates. Then chaos scrambling technology is used to encrypt the image, which makes the resulting image nonlinear and disorder both in spatial domain and frequency domain. Additionally, the ciphertext is not a color image but a combination of a gray image and a phase matrix, so the ciphertext has camouflage property to some extent. The results of numerical simulations demonstrate the effectiveness and the security of this algorithm.     

一种单通道彩色图像加密方法

提出了一种彩色图像的单通道加密方法. 在该方法中,首先采用三色光栅编码原理将一幅彩色图像编码为一幅灰度图像,再利用双随机相位加密技术对其加密,从而实现了彩色图像的单通道加密. 该方法既保证了安全性,同时在加密时仅需要一个相干光源,简化了系统,实用性较强. 模拟实验结果证明了其有效性. 关键词： 彩色图像 单通道加密 三色光栅 双随机相位     

Optical image encryption based on interference

We proposed a novel architecture for optical image encryption based on interference. The encryption algorithm for this new method is quite simple and does not need iterative encoding. The parameters of the configuration can also serve as additional keys for encryption. Numerical simulation results demonstrate the flexibility of this new proposed method.     

A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms

We analyze the security of a recently proposed asymmetric cryptosystem that based on the phase-truncated Fourier transforms (PTFTs), and describe a specific attack method to break the cryptosystem. This specific attack, which is based on a two-step iterative amplitude retrieval approach and works by using the public keys and ciphertexts, would allow an attacker to reveal the encrypted information and the decryption keys that generated in the encryption procedure. The numerical simulation results, which are given to show the effectiveness of the proposed specific attack, imply that some appropriate measurements should be made to enhance the resistance of the PTFT-based cryptosystem against the specific attack when it is used as a public-key cryptosystem.     

Optical image encryption based on diffractive imaging

In this Letter, we propose a method for optical image encryption based on diffractive imaging. An optical multiple random phase mask encoding system is applied, and one of the phase-only masks is selected and laterally translated along a preset direction during the encryption process. For image decryption, a phase retrieval algorithm is proposed to extract a high-quality plaintext. The feasibility and effectiveness of the proposed method are demonstrated by numerical results. The proposed method can provide a new strategy instead of conventional interference methods, and it may open up a new research perspective for optical image encryption.