Trabajando con imágenes digitales en clase de Matemáticas

La Gaceta de la Real Sociedad Matemática Española 01/2011; 2:317-336.
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Available from: Alberto Cano, Sep 25, 2015
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    ABSTRACT: In this work a new multisecret sharing scheme for secret color images among a set of users is proposed. The protocol allows that each participant in the scheme to share a secret color image with the rest of participants in such a way that all of them can recover all the secret color images only if the whole set of participants pools their shadows. The proposed scheme is based on the use of bidimensional reversible cellular automata with memory. The security of the scheme is studied and it is proved that the protocol is ideal and perfect and that it resists the most important statistical attacks.
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    ABSTRACT: In this paper, a block-based watermarking scheme based on the Singular Value Decomposition (SVD) is proposed. Our watermark, a pseudo-random Gaussian sequence, is embedded by modifying the angles formed by the right singular vectors of each block of the original image. The orthogonality property of the right singular vector matrix is preserved during the embedding process. Several experiments have been carried out to test the performance of the proposed scheme against different attack scenarios. We conclude that the proposed scheme is resistant against common signal processing operations and attacks, while it preserves the quality of the original image.
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    ABSTRACT: Chaos theory provides a new approach to image encryption technology. The key stream generator is the key design issue of an image encryption system, it directly determines the security and efficiency of the system. This paper proposes an improved chaos-based key stream generator to enlarge the key space, extend the period and improve the linear complexity of the key stream under precision restricted condition so as to enhance the security of a chaos-based image encryption system. The generator is constructed by three Logistic maps and a nonlinear transform. The balance and correlation properties of the generated sequence are analyzed. The sequence is proved to be a binary Bernoulli stochastic sequence and the distribution of the differences between the amounts of 0 and 1 is analyzed. The side lobes of auto and cross correlation are proved to obey normal distribution N(0, 1/N). The experimental results indicate that the scheme has advantages of long period and strong anti various attack ability over conventional chaos-based encryption system.
    Computational Science - ICCS 2007, 7th International Conference Beijing, China, May 27-30, 2007, Proceedings, Part I; 01/2007
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