Image permutation scheme based on modified Logistic mapping

Guanghui Cao, Kai Hu, Yi Ding · 2012

Abstract— Chaotic systems are extremely sensitive to initial parameters and these systems can be very helpful in the field of image scrambling. However, ordinary chaotic sequence is not uniformly distributed. Transformation which can generate uniformly distributed random variable in the interval [0, 1] based on logistic at =4 was studied. Utilizing this generated uniform random variable, random permutation algorithm based on interchange position was obtained. Based on this permutation algorithm, image bit permutation algorithm was described. When applied to image, compared with Rand algorithm and Ye algorithm, the proposed image bit permutation method exhibits large key space, effective ability of dissipating high correlation among pixels and increasing the entropy value. Results showed that this proposed encryption scheme with firmly theoretical foundation can enhance image security significantly.

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