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Based on three-dimensional and four-dimensional affine transformation integer proposed chaotic image encryption system

Author: LinRunHai
Tutor: YeRuiSong
School: Shantou University
Course: Applied Mathematics
Keywords: Affine transformation Proposed affine transformation Image Scrambling Chaotic system Binary sequence Image Fusion
CLC: O415.5
Type: Master's thesis
Year: 2009
Downloads: 41
Quote: 0
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Abstract


The rapid development of computer network and multimedia technology, widely used to make more and more digital images transmitted through a variety of media due to digital image data has a large amount of data , the traditional encryption methods such as DES, AES and RSA is not entirely suitable for direct image encryption in recent years, based on chaos theory digital image encryption scheme attracted attention of scholars and has been studied extensively. chaotic system and system parameters on the initial value is very sensitive , which produces a chaotic sequence ergodicity , inherent randomness can be difficult to predict accurately regeneration and other characteristics of these features and many of the requirements of cryptography coincide , making chaos in the digital image encryption and secure communication with practical value , can help design a chaotic system is easy to control and high security image encryption system . based on three-dimensional and four-dimensional affine transformation integer proposed chaotic image encryption system , first two-dimensional finite integer domain to be extended to three-dimensional affine transformation , the focus of three-dimensional finite integer domain to be affine transform nature and method of construction using this new approach to the scrambled image pixel position ( if necessary, the gray values ​​can be changed ) , and used to generate chaotic mapping transformation parameters , thus increasing the resistance to differential attacks statistics and force , followed by using a four-dimensional chaotic maps chaotic binary sequences , on this basis , aiming to reflect several important characteristics of chaotic sequence analysis , experiments, this improved chaotic sequence having good self / mutual related characteristics , initial sensitivity , frequency characteristics of test and inspection sequence . Finally this proposed method produces a three-dimensional integer affine transformation and chaotic pseudo-random binary sequence is used for image encryption, the encrypted image and the target image and then linearly fused to get the final image simulation and analysis results show that the algorithm key space , with a strong hidden effects and better statistical properties , strong anti-interference ability and higher efficiency , encryption effect on key sensitive It is a safe and fast new encryption algorithms.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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