Fragile Watermarking for Image Authentication Using QR factorization and Fourier Transform

F. Nejati, H. Sajedi, M. Mohammadi
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引用次数: 4

Abstract

Image authentication technique is one of the important methods for a large number of multimedia applications. When a digital image is passed over non-secure channels such as the Internet, it may be changed and manipulated. For some important images such as military and medical images, these manipulations are very harmful and such images should be protected against them. There are several ways such as fragile and semi-fragile watermarking to authenticate images from malicious attacks. This paper presents a fragile watermarking algorithm for image authentication by using QR factorization and Fourier Transform (FT). By applying Fourier transform to host image, frequency domain which causes visual quality in watermarking is achieved. After applying FT, it is factorized by QR decomposition. QR factorization is also applied to watermark image. After factorizing both images, a coefficient of the upper triangular matrix R from watermark image is embedded to the upper triangular matrix R from host image. So a sign of the watermark image is hidden in the host image. This method is a fragile watermarking and it is sensitive to a little attack. So if an image is attacked over the Internet, the watermark image can not be extracted and it means that it has been attacked and it helps us to recognize if an image is changed after being transmitted over the Internet. The experimental results show that this method is sensitive to every weak attack and extraction part can not extract watermark image if it has been attacked.
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基于QR分解和傅里叶变换的图像认证脆弱水印
图像认证技术是大量多媒体应用的重要方法之一。当数字图像通过诸如因特网等不安全的渠道传递时,它可能会被改变和操纵。对于一些重要的图像,如军事和医学图像,这些操作是非常有害的,这些图像应该受到保护。有几种方法,如脆弱和半脆弱的水印来验证图像免受恶意攻击。提出了一种基于QR分解和傅里叶变换的图像认证脆弱水印算法。通过对主图像进行傅里叶变换,实现了水印中引起视觉质量的频域。应用傅里叶变换后,进行QR分解分解。对水印图像也进行了QR分解。对两幅图像进行因式分解后,将水印图像上三角矩阵R的一个系数嵌入到主图像上三角矩阵R中。这样水印图像的符号就隐藏在主图像中。该方法是一种脆弱的水印方法,对少量攻击很敏感。因此,如果一幅图像在网络上受到攻击,水印图像无法被提取出来,这就意味着该图像受到了攻击,这有助于我们识别图像在网络上传输后是否发生了变化。实验结果表明,该方法对各种弱攻击都很敏感,提取部分受到攻击后不能提取水印图像。
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