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采用数字全息术的非负矩阵分解方法进行图像复用与加密。

Image multiplexing and encryption using the nonnegative matrix factorization method adopting digital holography.

作者信息

Chang Hsuan T, Shui J-W, Lin K-P

出版信息

Appl Opt. 2017 Feb 1;56(4):958-966. doi: 10.1364/AO.56.000958.

DOI:10.1364/AO.56.000958
PMID:28158100
Abstract

In this paper, a joint multiple-image encryption and multiplexing system, which utilizes both the nonnegative matrix factorization (NMF) scheme and digital holography, is proposed. A number of images are transformed into noise-like digital holograms, which are then decomposed into a defined number of basis images and a corresponding weighting matrix using the NMF scheme. The determined basis images are similar to the digital holograms and appear as noise-like patterns, which are then stored as encrypted data and serve as the lock in an encryption system. On the other hand, the column vectors in the weighting matrix serve as the keys for the corresponding plain images or the addresses of the multiplexed images. Both the increased uniformity of the column weighting factors and the parameters used in the digital holography enhance the security of the distributed keys. The experimental results show that the proposed method can successfully perform multiple-image encryption with high-level security.

摘要

本文提出了一种联合多图像加密与复用系统,该系统同时利用了非负矩阵分解(NMF)方案和数字全息术。多个图像被转换为类似噪声的数字全息图,然后使用NMF方案将其分解为一定数量的基图像和相应的加权矩阵。所确定的基图像类似于数字全息图,并呈现为类似噪声的图案,然后作为加密数据存储,并在加密系统中充当锁。另一方面,加权矩阵中的列向量充当相应明文图像的密钥或复用图像的地址。列加权因子的均匀性增加以及数字全息术中使用的参数都增强了分布式密钥的安全性。实验结果表明,所提出的方法能够成功地进行具有高级安全性的多图像加密。

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