Spatial Image Watermarking by Error-Correction Coding in Gray Codes

DOI: 10.4236/jsip.2013.43034   PDF   HTML     2,532 Downloads   3,667 Views   Citations

Abstract

In this paper, error-correction coding (ECC) in Gray codes is considered and its performance in the protecting of spatial image watermarks against lossy data compression is demonstrated. For this purpose, the differences between bit patterns of two Gray codewords are analyzed in detail. On the basis of the properties, a method for encoding watermark bits in the Gray codewords that represent signal levels by a single-error-correcting (SEC) code is developed, which is referred to as the Gray-ECC method in this paper. The two codewords of the SEC code corresponding to respective watermark bits are determined so as to minimize the expected amount of distortion caused by the watermark embedding. The stochastic analyses show that an error-correcting capacity of the Gray-ECC method is superior to that of the ECC in natural binary codes for changes in signal codewords. Experiments of the Gray-ECC method were conducted on 8-bit monochrome images to evaluate both the features of watermarked images and the performance of robustness for image distortion resulting from the JPEG DCT-baseline coding scheme. The results demonstrate that, compared with a conventional averaging-based method, the Gray-ECC method yields watermarked images with less amount of signal distortion and also makes the watermark comparably robust for lossy data compression.

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T. Kimoto, "Spatial Image Watermarking by Error-Correction Coding in Gray Codes," Journal of Signal and Information Processing, Vol. 4 No. 3, 2013, pp. 259-273. doi: 10.4236/jsip.2013.43034.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] B. M. Macq, “Special Issue on Identification and Protection of Multimedia Information,” Proceeding of the IEEE, Vol. 87, No. 7, 1999, pp. 1059-1276.
[2] I. J. Cox, M. L. Miller and J. A. Bloom, “Digital Watermarking,” Morgan Kaufmann Publishers, San Francisco, 2002.
[3] F. H. Wang, J. S. Pan and L. C. Jain, “Innovations in Digital Watermarking Techniques,” Chapter 4, SpringerVerlag, Berlin, 2009. doi:10.1007/978-3-642-03187-8
[4] G. Clark Jr., and J. Cain, “Error-Correction Coding for Digital Communications,” Plenum Press, New York, 1981. doi:10.1007/978-1-4899-2174-1
[5] J. R. Hernández, F. P. González and J. M. Rodriguez, “The Impact of Channel Coding on the Performance of Spatial Watermarking for Copyright Protection,” Proceedings of the 1998 IEEE International Conference on Acoustics, Speech, and Signal Processing, Seattle, May 1998, pp. 2973-2976.
[6] Y. Yi, M. H. Lee, J. H. Kim and G. Y. Hwang, “Robust Wavelet-Based Information Hiding through Low-Density Parity-Check (LDPC) Codes,” In: T. Kalker, I. J. Cox and Y. M. Ro, Eds., Digital Watermarking, Springer-Verlag, Berlin, 2004, pp. 117-128. doi:10.1007/978-3-540-24624-4_9
[7] R. C. Gonzalez and R. E. Woods, “Digital Image Processing,” Addison-Wesley, Boston, 1993.
[8] ISO CD 10918, “Digital Compression and Coding of Continuous-Tone Still Images,” ISO/IEC JTC1/SC2/ WG10, 1991.

  
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