Optimum detection for Barni's multiplicative watermarking in DWT domain

With the increasing demands of copyright protection, watermarking technology has being paid more and more attention. In the design of watermarking algorithm, a good watermark detection scheme can improve the successful detection rate, which pushes more and more researchers to work on optimum detectors. In this paper, with respect to Barni's multiplicative watermarking that is based on human visual system (HVS), the optimum detection using Bayesian decision rule is firstly proposed. The decision threshold is obtained by the NP criterion. The probability density function of the transform coefficients is modeled by using the generalized Gaussian distribution. Its simplification equation is given using Gaussian distribution. It can result in a better performance than correlation detection.

[1]  Eero P. Simoncelli,et al.  Image compression via joint statistical characterization in the wavelet domain , 1999, IEEE Trans. Image Process..

[2]  S. Kay.  Fundamentals of statistical signal processing: estimation theory , 1993 .

[3]  Alberto Leon-Garcia,et al.  Estimation of shape parameter for generalized Gaussian distributions in subband decompositions of video , 1995, IEEE Trans. Circuits Syst. Video Technol..

[4]  Bo Zhang,et al.  Statistically Robust Detection of Multiplicative Spread-Spectrum Watermarks , 2007, IEEE Transactions on Information Forensics and Security.

[5]  Mauro Barni,et al.  A new decoder for the optimum recovery of nonadditive watermarks , 2001, IEEE Trans. Image Process..

[6]  Zhen Li,et al.  A Robust Geometry-Based Watermarking Scheme for 3D Meshes , 2006, First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06).

[7]  Michael G. Strintzis,et al.  Locally optimum nonlinearities for DCT watermark detection , 2004, IEEE Transactions on Image Processing.

[8]  Pierre Moulin,et al.  Design and statistical analysis of a hash-aided image watermarking system , 2004, IEEE Transactions on Image Processing.

[9]  Ioannis Pitas,et al.  Asymptotically optimal detection for additive watermarking in the DCT and DWT domains , 2003, IEEE Trans. Image Process..

[10]  Mauro Barni,et al.  Improved wavelet-based watermarking through pixel-wise masking , 2001, IEEE Trans. Image Process..

[11]  Thomas S. Huang,et al.  Robust optimum detection of transform domain multiplicative watermarks , 2003, IEEE Trans. Signal Process..

[12]  H. Garg,et al.  Maximum Likelihood Detection in Image Watermarking Using Generalized Gamma Model , 2005, Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005..

[13]  Mauro Barni,et al.  Capacity of full frame DCT image watermarks , 2000, IEEE Trans. Image Process..

[14]  Adrian S. Lewis,et al.  Image compression using the 2-D wavelet transform , 1992, IEEE Trans. Image Process..

[15]  Thomas S. Huang,et al.  Optimum detection and decoding of multiplicative watermarks in DFT domain , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[16]  Thomas S. Huang,et al.  An additive approach to transform-domain information hiding and optimum detection structure , 2001, IEEE Trans. Multim..

[17]  Panagiotis Tsakalides,et al.  Hidden messages in heavy-tails: DCT-domain watermark detection using alpha-stable models , 2005, IEEE Transactions on Multimedia.

[18]  F. Bartolini,et al.  Threshold Selection for Correlation-based Watermark Detection , 1998 .

[19]  Harald Haas,et al.  Asilomar Conference on Signals, Systems, and Computers , 2006 .

[20]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[21]  Ki-Ryong Kwon,et al.  Watermark detection algorithm using statistical decision theory , 2002, Proceedings. IEEE International Conference on Multimedia and Expo.

[22]  Yuttapong Rangsanseri,et al.  Copyright protection of images using human visual masking on DCT-based watermarking , 2002, Asia-Pacific Conference on Circuits and Systems.

[23]  Mauro Barni,et al.  Robust watermarking of still images for copyright protection , 1997, Proceedings of 13th International Conference on Digital Signal Processing.

[24]  Ingemar J. Cox,et al.  Secure spread spectrum watermarking for multimedia , 1997, IEEE Trans. Image Process..

[25]  Toru Fujiwara,et al.  A New Optimum Detection Scheme for Additive Watermarks Embedded in Spatial Domain , 2006, 2006 International Conference on Intelligent Information Hiding and Multimedia.