Key-dependent pyramidal wavelet domains for secure watermark embedding

Wavelet filters can be parametrized to create an entire family of different wavelet filters. We discuss wavelet filter parametrization as a means to add security to wavelet based watermarking schemes. We analyze the influence of the number of filter parameters and use non-stationary multi-resolution decomposition where different wavelet filters are used at different levels of the decomposition. Using JPEG and JPEG2000 compression we assess the normalized correlation and Peak Signal to Noise Ratio (PSNR) behavior of the watermarks. The security against unauthorized detection is also investigated. We conclude that the proposed systems show good robustness against compression and depending on the resolution we choose for the parameters we get between 299 and 2185 possible keys.

[1]  Bernd Girod,et al.  Informed Watermarking , 2002 .

[2]  Jong Ryul Kim,et al.  A robust wavelet-based digital watermarking using level-adaptive thresholding , 1999, Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348).

[3]  C.-C. Jay Kuo,et al.  Watermark design for embedded wavelet image codec , 1998, Optics & Photonics.

[4]  Andreas Uhl,et al.  Survey of wavelet-domain watermarking algorithms , 2001, IS&T/SPIE Electronic Imaging.

[5]  Jana Dittmann Digitale Wasserzeichen - Grundlagen, Verfahren, Anwendungsgebiete , 2000, Xpert.press.

[6]  Ingemar J. Cox,et al.  Digital Watermarking , 2003, Lecture Notes in Computer Science.

[7]  S. Mallat A wavelet tour of signal processing , 1998 .

[8]  Deepa Kundur Improved Digital Watermarking Through Diversity and Attack Characterization , 1999 .

[9]  Stefan Pittner,et al.  On the parametrization of the coefficients of dilation equations for compactly supported wavelets , 2005, Computing.

[10]  O. Roeva,et al.  Information Hiding: Techniques for Steganography and Digital Watermarking , 2000 .

[11]  Ahmed H. Tewfik,et al.  Parametrization of compactly supported orthonormal wavelets , 1993, IEEE Trans. Signal Process..

[12]  Jiri Fridrich,et al.  Robust Digital Watermarking Based on Key-Dependent Basis Functions , 1998, Information Hiding.

[13]  M. Victor Wickerhauser,et al.  Adapted wavelet analysis from theory to software , 1994 .

[14]  A. Cohen Non-stationary Multiscale Analysis , 1994 .

[15]  Sushil Jajodia,et al.  Information Hiding: Steganography and Watermarking-Attacks and Countermeasures , 2000, Advances in Information Security.

[16]  C. Chui,et al.  Wavelets : theory, algorithms, and applications , 1994 .

[17]  Andreas Uhl Image compression using non-stationary and inhomogeneous multiresolution analyses , 1996, Image Vis. Comput..

[18]  Andreas Uhl,et al.  Watermark security via wavelet filter parametrization , 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

[19]  Jean-Paul M. G. Linnartz,et al.  On the reliability of detecting electronic watermarks in digital images , 1998, 9th European Signal Processing Conference (EUSIPCO 1998).