2007
DOI: 10.1117/12.704723
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A generalized Benford's law for JPEG coefficients and its applications in image forensics

Abstract: In this paper, a novel statistical model based on Benford's law for the probability distributions of the first digits of the block-DCT and quantized JPEG coefficients is presented. A parametric logarithmic law, i.e., the generalized Benford's law, is formulated. Furthermore, some potential applications of this model in image forensics are discussed in this paper, which include the detection of JPEG compression for images in bitmap format, the estimation of JPEG compression Qfactor for JPEG compressed bitmap im… Show more

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Cited by 213 publications
(159 citation statements)
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References 10 publications
(12 reference statements)
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“…Similarly, the work in [7] detects the peculiar modifications on coefficients statistics brought by double quantization using an support vector machine (SVM) classifier. The approach in [14] generalizes the Benford's law for the DCT coefficients and checks its consistency on the analyzed image (more details will be provided in Section III). Other strategies rely on the assumption that quantization is an idempotent operation, i.e., requantizing DCT coefficients with the same quantizer leads to reconstructed values highly-correlated with its input [15].…”
Section: I R E L a T E D W O R K Smentioning
confidence: 99%
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“…Similarly, the work in [7] detects the peculiar modifications on coefficients statistics brought by double quantization using an support vector machine (SVM) classifier. The approach in [14] generalizes the Benford's law for the DCT coefficients and checks its consistency on the analyzed image (more details will be provided in Section III). Other strategies rely on the assumption that quantization is an idempotent operation, i.e., requantizing DCT coefficients with the same quantizer leads to reconstructed values highly-correlated with its input [15].…”
Section: I R E L a T E D W O R K Smentioning
confidence: 99%
“…This fact has been widely employed in fraud detection in different fields (elections [21,22], budget [23,24], etc. ), as well as in detecting double compression in JPEG images [14]. 1 Note that in this model we omit to consider the rounding and clipping of the reconstructed pixels to finite precision integer values after inverse DCT.…”
Section: B) the Fd Lawmentioning
confidence: 99%
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“…Feng and Doerr extract DCT histogram features to feed both an LDA classifier and an SVM. The system is shown to outperform the Generalized Benford's law descriptors proposed in [36]. From a different perspective, information about an image compression history can be obtained by estimating its primary quantization matrix, to be matched then with the one included in the image header.…”
Section: Tampering Detection Independent On the Type Of Forgerymentioning
confidence: 99%
“…As an example, in [92] Wang and others propose a probabilistic analysis of Generalized Benford's Law, which was previously proposed for tampering detection in [36] (cfr. Section 4.2.3).…”
Section: Tampering Detection Independent On the Type Of Forgerymentioning
confidence: 99%