Double-image encryption algorithm based on discrete fractional angular transform and fractional Fourier transform

IF 0.7 4区 物理与天体物理 Q4 OPTICS Optica Applicata Pub Date : 2022-01-01 DOI:10.37190/oa220415
Tian Qiu, Wei-Hua Dai, Su-Hua Chen, Hang Zhou, Li-Hua Gong
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引用次数: 1

Abstract

By combining fractional Fourier transform with discrete fractional angular transform, a double-image encryption algorithm is designed. The discrete cosine transform is performed on two grayscale images to generate a spectrum image, and then the generated spectrum image is compressed into an image with Zigzag scanning. The compressed image is processed with the discrete fractional angular transform, and then fractional Fourier transform and double random phase coding are executed on the image. The DNA operation controlled by chaotic system is introduced to change the pixel values. Finally, the ciphertext image is obtained through bit-level permutation and pixel adaptive diffusion. The statistical information of the plaintext images is employed as the input of the SHA-256 to calculate the initial conditions of the chaotic map. Simulation experiments demonstrate that the double-image encryption algorithm can effectively reduce the correlation among adjacent pixels of the plaintext images.
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基于离散分数阶角变换和分数阶傅里叶变换的双图像加密算法
将分数阶傅里叶变换与离散分数阶角变换相结合,设计了一种双图像加密算法。对两幅灰度图像进行离散余弦变换生成频谱图像,然后将生成的频谱图像压缩为锯齿扫描图像。对压缩后的图像进行离散分数阶角变换,然后对图像进行分数阶傅里叶变换和双随机相位编码。引入混沌系统控制的DNA操作来改变像素值。最后,通过位级置换和像素自适应扩散得到密文图像。将明文图像的统计信息作为SHA-256的输入,计算混沌映射的初始条件。仿真实验表明,双图像加密算法可以有效地降低明文图像相邻像素之间的相关性。
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来源期刊
Optica Applicata
Optica Applicata 物理-光学
CiteScore
1.00
自引率
16.70%
发文量
21
审稿时长
4 months
期刊介绍: Acoustooptics, atmospheric and ocean optics, atomic and molecular optics, coherence and statistical optics, biooptics, colorimetry, diffraction and gratings, ellipsometry and polarimetry, fiber optics and optical communication, Fourier optics, holography, integrated optics, lasers and their applications, light detectors, light and electron beams, light sources, liquid crystals, medical optics, metamaterials, microoptics, nonlinear optics, optical and electron microscopy, optical computing, optical design and fabrication, optical imaging, optical instrumentation, optical materials, optical measurements, optical modulation, optical properties of solids and thin films, optical sensing, optical systems and their elements, optical trapping, optometry, photoelasticity, photonic crystals, photonic crystal fibers, photonic devices, physical optics, quantum optics, slow and fast light, spectroscopy, storage and processing of optical information, ultrafast optics.
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