Apparatus and method for a generalized benford's law...

Image analysis – Image compression or coding

Reexamination Certificate

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C382S250000, C382S251000, C382S100000

Reexamination Certificate

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07940989

ABSTRACT:
A method and apparatus for 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. A parametric logarithmic law, the generalized Benford's law, is formulated. Furthermore, some potential applications of this model in image forensics, which include the detection of JPEG compression for images in bitmap format, the estimation of JPEG compression Q-factor for JPEG compressed bitmap image, and the detection of double compressed JPEG image. Experimental results demonstrate the effectiveness of the statistical model used in embodiments of the invention.

REFERENCES:
Pietronero et al. “Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf”, Physica A 293, 2001, 297-304.
Zhigang Fan et al: “Identification of Bitmap Compression History: JPEG Detection and Quantizer Estimation” IEEE Transactions on Image Processing, IEEE Service Center, vol. 12, No. 2, Feb. 2, 2003, pp. 230-235.
Lukas, J. et al: “Estimation of Primary Quantization Matrix in Double Compressed JPEG Images”, Proceedings of Digital Forensic Research Workshop (DFRWS) 2003, Aug. 5, 2003-Aug. 8, 2003, pp. 1-17.
Jolion J -M: “Images and Benford's law” Journal of Mathematical Imaging and Vision Kluwer Academic Publishers Netherlands, vol. 14, No. 1, Feb. 2001, pp. 73-81.
Acebo E. et al; “Benford's Law for Natural and Synthetic Images” Eurographics Workshop on Computational Aesthetics OM Graphics, Visualization and Imagin, May 18, 2005-May 20, 2005, p. 169, 171.
Hill et al; “Regularity of digits and significant digits of random variables”, Stochastic Processes and Their Applications, North-Holland, vol. 115, No. 10, Oct. 2005, pp. 1723-1743.
Pevny, T et al. “Estimation of Primary Quantization Matrix for Steganalysis of Double-Compressed JPEG Images”, Proc. Spie, Electronic Imaging, Security, Forensics, Steganography, and Watermarking of Multimedia Contents, Jan. 28, 2008-Jan. 31, 2008, pp. 1-13.

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