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A dual graph encryption method based on fraction rank Fourier conversion

A technology of fractional Fourier and encryption method, which is applied in the field of information security, and can solve the problems of undiscussed secret map performance, difficult optical realization, mutual interference of decrypted maps, etc.

Inactive Publication Date: 2008-03-26
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

If the single-image encryption method is used, two noise images with similar statistical characteristics will be obtained after encrypting the two images separately, which will bring certain difficulties to distinguish and distinguish them, and they must be operated separately when decrypting, which is not conducive to key management.
Recently, researchers have begun to study multi-image encryption methods. Xiangfeng Meng et al. proposed a Fresnel transform-based dual-image encryption and digital watermarking method using amplitude and phase modulation separately. When the encrypted image is disturbed by noise When , the decrypted image obtained by this method will interfere with each other. The author did not use the standard test image for simulation, so this issue was not discussed
Shutian Liu et al. used FRFT to propose a double-image encryption method based on phase recovery. This algorithm needs to be iterated and requires energy compensation for the double-image before calculation. It is difficult to implement optically. The algorithm does not discuss the encryption method when the dense image is disturbed. performance

Method used

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  • A dual graph encryption method based on fraction rank Fourier conversion
  • A dual graph encryption method based on fraction rank Fourier conversion
  • A dual graph encryption method based on fraction rank Fourier conversion

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Embodiment Construction

[0092] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0093] Select a standard test grayscale image "Lena" and a binary image "text" with a size of 256×256 as the original images f(x, y) and g(x, y) to be encrypted in this embodiment, as shown in Figure 4 -1 and Figure 4-2. The simulation is carried out using Matlab 2006a.

[0094] First normalize their pixel values. After the binary image is scrambled, phase-only encoding is performed, and then a composite image is generated with the gray-scale image for bi-phase encoding. The transformation order of the two-dimensional fractional Fourier transform is a x =a y = 0.82 and b x =b y = 0.45. The magnitude of the result of double-image encryption using the present invention is shown in Figure 4-3.

[0095] Embodiment is explained and performance analysis below in conjunction with accompanying drawing:

[0096] The histogram of the real part of the den...

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Abstract

This invention puts forward a method for encrypting double images based on fractional stage Fourier transformation, which disorders pixels of one of two original images, then carries out pure phase coding to the disordered result to multiply the other original image to generate a composite image with a duplicate swing and then makes fractional stage Fourier domain double random phase coding and encryption to get an encrypted image having generalized stable white noise approaching to gaussion distribution, which presents a method for reducing errors by threshold value by analyzing influence to decryption result by disturbance.

Description

Technical field [0001] The invention relates to the fields of information security and information optics, especially image encryption technology, which is suitable for encrypting two images that need to be managed and used together. Background technique [0002] Image information is vivid and vivid, and has become one of the important means for human beings to express information. With the rapid development of network multimedia technology, the acquisition, transmission, and processing of image data have spread to every corner of the digital age, such as finance, e-commerce and government affairs, modern military information transmission, and various personal businesses. While the operation is more convenient, the security problem is also becoming more and more serious. Encryption is the most direct means to protect the security of image information. Image encryption technology processes them into random noise-like meaningless images for confidential transmission and stora...

Claims

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Application Information

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IPC IPC(8): H04L9/28G03H1/16G06T1/00
Inventor 陶然辛怡
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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