A Hybrid Fractal-Wavelet Digital Watermarking Technique with Localized Embedding Strength

We propose a hybrid image watermarking technique making use of the advantages of fractal theory and wavelet transforms. Generally, the strength of watermarking is set to be a fixed value for the entire image. In our work the strength of watermarking in cover image is customized according to the complexity of image portions. The image is separated into complex and smooth regions based on fractal dimension. Fractal dimension measured with differential box counting (DBC) method is used to estimate the complexity of image portions. A higher value of embedding strength is used for complex regions, whereas a smaller embedding strength for smooth regions which are more sensitive to human vision system. Results show that the method produces imperceptible watermarks with higher detector response.

[1]  Franck Davoine,et al.  Using the fractal code to watermark images , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[2]  Sim Heng Ong,et al.  A practical method for estimating fractal dimension , 1995, Pattern Recognit. Lett..

[3]  Bahaa E. A. Saleh,et al.  Image detection under low-level illumination , 1993, IEEE Trans. Image Process..

[4]  Nirupam Sarkar,et al.  An Efficient Differential Box-Counting Approach to Compute Fractal Dimension of Image , 1994, IEEE Trans. Syst. Man Cybern. Syst..

[5]  X G Xia,et al.  Wavelet transform based watermark for digital images. , 1998, Optics express.

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

[7]  Joan Puate,et al.  Using fractal compression scheme to embed a digital signature into an image , 1997, Other Conferences.

[8]  Wenjun Zeng,et al.  Image-adaptive watermarking using visual models , 1998, IEEE J. Sel. Areas Commun..

[9]  S. Welstead Fractal and Wavelet Image Compression Techniques , 1999 .

[10]  Deepa Kundur,et al.  Diversity and attack characterization for improved robust watermarking , 2001, IEEE Trans. Signal Process..

[11]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[12]  Huang Yi Self-organizing neural network domain classification for fractal image coding , 1998, ICCT'98. 1998 International Conference on Communication Technology. Proceedings (IEEE Cat. No.98EX243).

[13]  Arnaud E. Jacquin,et al.  Image coding based on a fractal theory of iterated contractive image transformations , 1992, IEEE Trans. Image Process..

[14]  Narendra Ahuja,et al.  A new wavelet-based scheme for watermarking images , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[15]  Song-tao Liu,et al.  An Improved Differential Box-Counting Approach to Compute Fractal Dimension of Gray-Level Image , 2008, 2008 International Symposium on Information Science and Engineering.

[16]  Mahdi Yaghoobi,et al.  A Robust Digital Image Watermarking Approach against JPEG Compression Attack Based on Hybrid Fractal-Wavelet , 2011 .

[17]  Qiuqi Ruan,et al.  Region of Interest Watermarking Based on Fractal Dimension , 2006, 18th International Conference on Pattern Recognition (ICPR'06).

[18]  Ingemar J. Cox,et al.  Review of watermarking and the importance of perceptual modeling , 1997, Electronic Imaging.

[19]  Deepa Kundur,et al.  Digital watermarking using multiresolution wavelet decomposition , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).