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Book ChapterDOI

A novel image encryption framework based on markov map and singular value decomposition

TLDR
A novel yet simple encryption technique is proposed based on toral automorphism, Markov map and singular value decomposition (SVD) and a reliable decryption scheme is proposed to construct original image from encrypted image.
Abstract
In this paper, a novel yet simple encryption technique is proposed based on toral automorphism, Markov map and singular value decomposition (SVD). The core idea of the proposed scheme is to scramble the pixel positions by the means of toral automorphism and then encrypting the scrambled image using Markov map and SVD. The combination of Markov map and SVD changed the pixels values significantly in order to confuse the relationship among the pixels. Finally, a reliable decryption scheme is proposed to construct original image from encrypted image. Experimental results demonstrate the efficiency and robustness of the proposed scheme.

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References
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Journal ArticleDOI

A universal image quality index

TL;DR: Although the new index is mathematically defined and no human visual system model is explicitly employed, experiments on various image distortion types indicate that it performs significantly better than the widely used distortion metric mean squared error.
Journal ArticleDOI

Singular value decomposition and least squares solutions

TL;DR: The decomposition of A is called the singular value decomposition (SVD) and the diagonal elements of ∑ are the non-negative square roots of the eigenvalues of A T A; they are called singular values.
BookDOI

Numerische Mathematik 1

Josef Stoer
Journal ArticleDOI

Chaos-based image encryption algorithm ✩

TL;DR: In this Letter, a new image encryption scheme is presented, in which shuffling the positions and changing the grey values of image pixels are combined to confuse the relationship between the cipher-image and the plain-image.
Journal ArticleDOI

A new image encryption algorithm based on hyper-chaos

TL;DR: The experimental results demonstrate that the suggested encryption algorithm of image has the advantages of large key space and high security, and moreover, the distribution of grey values of the encrypted y image has a random-like behavior.
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