2017
DOI: 10.3390/a10010027
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Fragile Watermarking for Image Authentication Using the Characteristic of SVD

Abstract: Digital image authentication has become a hot topic in the last few years. In this paper, a pixel-based fragile watermarking method is presented for image tamper identification and localization. By analyzing the left and right singular matrices of SVD, it is found that the matrix product between the first column of the left singular matrix and the transposition of the first column in the right singular matrix is closely related to the image texture features. Based on this characteristic, a binary watermark con… Show more

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Cited by 45 publications
(30 citation statements)
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“…In [32], Zhang et al further found that the probability distribution of the values in u 1 v T 1 of all the blocks satisfies normal distribution approximately. Specifically, for smooth blocks, the values in sub-image u 1 v T 1 are approximately equal to the reciprocal of the block size, while for texture blocks, the values in u 1 v T 1 are scattering distributed.…”
Section: Svd Transform and Its Characteristicsmentioning
confidence: 99%
See 1 more Smart Citation
“…In [32], Zhang et al further found that the probability distribution of the values in u 1 v T 1 of all the blocks satisfies normal distribution approximately. Specifically, for smooth blocks, the values in sub-image u 1 v T 1 are approximately equal to the reciprocal of the block size, while for texture blocks, the values in u 1 v T 1 are scattering distributed.…”
Section: Svd Transform and Its Characteristicsmentioning
confidence: 99%
“…For example, when the image block size is 2 × 2, the values in u 1 v T 1 of smooth blocks are approximately equal to 1/2 (0.5). Based on the above analysis and reference [32], a new block classification method based on SVD transform is designed. The detailed steps of this process are described as follows:…”
Section: Svd Transform and Its Characteristicsmentioning
confidence: 99%
“…A fragile technique is typically easier to implement than a robust one [19]. In [20], binary authentication information was inserted into the host image where, for identifying tampering and localization, a pixel-based fragile watermarking technique was used. It resulted in an acceptable visual effect (in terms of the human eye).…”
Section: Robustnessmentioning
confidence: 99%
“…From Figure 1a,b, it is manifested that the matrix elements in u 1 v T 1 are in the normal distribution approximately. Furthermore, most of the elements are gathered in 0.5 (1/2) [24]. To prove the universality of this conclusion, Figure 2 illustrates the frequency distribution histogram of u 1 v T 1 for block sizes 4 × 4 and 8 × 8, respectively.…”
Section: The Impact Of Svd-based Watermarking On the Pixel Values In mentioning
confidence: 99%
“…It can be seen from Equation (8) that the calculation of ∆A is equivalent to the solving process of u 1 v T 1 . In [24], Zhang et al found that the values in u 1 v T 1 are closely associated with its matrix size, especially when a matrix has similar matrix elements. In this paper, we use this property to develop our proposed scheme.…”
Section: The Impact Of Svd-based Watermarking On the Pixel Values In mentioning
confidence: 99%