Color image encryption method based on QR decomposition and Gyrator transformation

A QR decomposition and color image technology, applied in the field of digital image processing and optical encryption, can solve the problems of complex encryption system and achieve the effect of small similarity and small correlation

Inactive Publication Date: 2019-08-02
TIANJIN UNIV
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Problems solved by technology

Color images contain more information than grayscale images. Since color images have three components of red, green, and blue, if the three components are encrypted separately, the encryption system will inevitably be complicated. Therefore, the single-channel color image encryption system has become an image Key Research Questions in Cryptography

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  • Color image encryption method based on QR decomposition and Gyrator transformation
  • Color image encryption method based on QR decomposition and Gyrator transformation
  • Color image encryption method based on QR decomposition and Gyrator transformation

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Embodiment Construction

[0068] The present invention is based on the color image encryption method of QR decomposition and Gyrator transformation, and the steps are as follows:

[0069] (1) Image encryption part: the color image to be encrypted is first decomposed into three color channels of R, G, and B; then the two color channels of R and G are encoded into a complex matrix, and the obtained complex matrix is ​​decomposed into a regular orthogonal matrix by QR Q and the upper triangular matrix R are two parts; then the Q and R parts are multiplied after GT transformation; the obtained result is phase truncated and then encoded into a complex matrix with the B channel, and the obtained complex matrix is ​​decomposed into Q and R by QR. part; then the Q and R parts are multiplied after GT transformation to obtain the final encrypted image;

[0070] (2) Image decryption part: After multiplying the encrypted image and the key, two parts are obtained and the inverse transformation of GT transformation ...

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Abstract

The invention belongs to the field of digital image processing and optical encryption, and provides a novel color image encryption method which has a large secret key space and high security. The color image encryption method based on QR decomposition and Gyrator transformation comprises the following steps: an image encryption part: encoding R and G color channels into a complex matrix, and decomposing the obtained complex matrix into a normal orthogonal matrix Q and an upper triangular matrix R through QR; respectively carrying out GT (Gyrator) transformation on the Q part and the R part andthen multiplying the Q part and the R part; performing phase truncation on an obtained result, encoding the result and the channel B into a complex matrix, and decomposing the complex matrix into Q and R parts through QR; respectively carrying out GT transformation on the Q part and the R part, and performing multiplying to obtain a final encrypted image, wherein decoding is an inverse processesof encoding. The method is mainly applied to digital image encryption occasions.

Description

technical field [0001] The invention belongs to the field of digital image processing and optical encryption, in particular to a color image encryption method based on QR decomposition and Gyrator transformation. Background technique [0002] Images are one of the important carriers of information. How to ensure the security of images during transmission, researchers have proposed many solutions in recent years. In summary, they can be divided into two categories: one is image information hiding, that is, secret The image is hidden in a specific carrier in a certain way to make it hidden, such as digital watermarking, etc.; the other is a cryptographic method, which encrypts a given image into a noise-like image through certain algorithms and rules. The original image cannot be identified, so as to achieve the purpose of protecting the original image. Color images contain more information than grayscale images. Since color images have three components of red, green, and blu...

Claims

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Application Information

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Patent Type & AuthorityApplications(China)
IPC IPC(8): H04N1/32H04L9/14
CPCH04L9/14H04N1/3216H04N1/32272H04N1/32309
Inventor唐晨陶珊
OwnerTIANJIN UNIV