Digital Image Watermarking Schemes Based on GCST and SVD

GCST-SVD 기반 디지털 영상 워터마킹 방법

  • Received : 2013.04.02
  • Accepted : 2013.08.01
  • Published : 2013.07.30

Abstract

In this paper, Gabor cosine and sine transform considered as human visual filter is applied to watermarking methods for digital images. Four algorithms by using singular values or principal components of SVD in the frequency domain are proposed for watermark embedding and extraction. Two dimensional image is used as an embedded watermark. To measure the similarity between the embedded watermark image and the extracted one, a normalized correlation value is computed for the comparison of the four proposed methods with various attacks. Extracted watermark images are also provided for visual inspection. The proposed GCST-SVD method which embeds a watermark image into the lowest vertical or horizontal ac frequency band can provide useful watermarking algorithm with high correlation values and visual watermark features from experimental results for various attacks.

본 논문에서는 인간시각필터로 고려되는 Gabor 코사인과 사인 함수를 이용한 변환을 디지털 영상의 워터마킹 방법에 적용하였다. 변환된 주파수 영역에서 SVD의 특이값 또는 주성분을 이용한 4가지 워터마크 삽입과 추출 알고리즘을 제안한다. 삽입한 워터마크는 2차원 영상이고, 삽입한 워터마크와 추출한 워터마크 사이의 유사성을 측정하기 위하여 시각적인 판단뿐만 아니라 정규화된 상관값을 계산하였으며, 제안한 4가지 방법의 성능을 다양한 공격에 대해서 비교하였다. 가장 낮은 수평 또는 수직 교류 주파수 성분에 워터마크를 삽입하는 GCST-SVD 방법이 여러 공격에 대한 실험 결과로부터 높은 상관값과 시각적인 워터마크 특징을 잘 나타내므로 좋은 워터마킹 방법으로 사용할 수 있음을 볼 수 있다.

Keywords

References

  1. V. M. Potdar, S. Han, and E. Chang, ''A Survey of Digital Image Watermarking Techniques,'' 2005 3rd IEEE Int. Conf. on Industrial Informatics, pp. 709-716, 2005.
  2. Ingemar J. Cox, Joe Kilian, F. Thomson, and Talal Shamoon, "Secure Spread Spectrum Watermarking for Multimedia," IEEE Trans. on Image Processing, vol. 6, No. 12, pp. 1673-1686, 1997. https://doi.org/10.1109/83.650120
  3. M. Barni, F. Bartolini, V. Cappellini, and A. Piva, ''A DCT-domain System for Robust Image Watermarking,'' Signal Processing, vol. 66, pp. 357-372, 1998. https://doi.org/10.1016/S0165-1684(98)00015-2
  4. J. Xiao and Y. Wang, ''Toward a Better Understanding of DCT Coefficients in Watermarking,'' IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application, pp. 206-209, 2008.
  5. M. Hsieh, D. Tseng, and Y. Huang, ''Hiding Digital Watermarks Using Multiresolution Wavelet Transform,'' IEEE Trans. on Industrial Electronics, vol. 48, no. 5, pp. 875-882, Oct., 2003.
  6. H. Daren, L. Jiufen, H. Jiwu, and L. Hongmei, ''A DWT-based Image Watermarking Algorithm,'' IEEE Int. Conf. on Multimedia and Expo, 2001 ICME, vol. 3, pp. 429-432, 2001.
  7. S. Pereira and T. Pun, ''Robust Template Matching for Affine Resistant Image Watermarks,'' IEEE Trans. on Image Processing, vol. 9, no. 6, pp. 1123-1129, June, 2000. https://doi.org/10.1109/83.846253
  8. R. Liu and T. Tan, "An SVD-based Watermarking Scheme for Protecting Rightful Ownership," IEEE Trans. on Multimedia, vol. 4, No. 1, pp. 121-128, March 2002. https://doi.org/10.1109/6046.985560
  9. M. S. Raval and P. P. Rege, ''Discrete Wavelet Transform Based Multiple Watermarking Scheme,'' Conf. on Convergent Technologies for Asia-Pacific Region, TENCON 2003, vol. 3, pp. 935-938, Oct. 15-17, 2003.
  10. E. Ganic and A. M. Eskicioglu, ''Robust DWT-SVD Domain Image Watermarking,'' Proc. of 2004 Workshop on Multimedia and Security, pp. 166-174, Sept. 2004.
  11. V. Fotopoulos and A. Skodras, ''A Subband DCT Approach to Image Watermarking,'' European Signal Processing Conference (EUSIPCO-2000) , pp. 202-205, Sept. 4-8, 2000.
  12. G. Bhatnagar and B. Raman, ''A new robust reference watermarking scheme based on DWT-SVD,'' Computer Standards & Interfaces, 31(5), pp. 1002-1013, 2009. https://doi.org/10.1016/j.csi.2008.09.031
  13. F. Liu and Y. Liu, ''A Watermarking Algorithm for Digital Image Based on DCT and SVD,'' 2008 Congress on Image and Signal Processing, pp. 308-383, 2008.
  14. B. Wang, J. Ding, Q. Wen, X. Liao, and C. Liu, ''An Image Watermarking Algorithm Based on DWT, DCT and SVD,'' IEEE Int. Conf. on Network Infrastructure and Digital Content, IC-NIDC 2009, pp. 1034-1038, 2009.
  15. C. Jain, S. Arora, and P. K. Panigrahi, ''A Reliable SVD based Watermarking Scheme,'' http://arxiv.org/pdf/0808.0309.pdf, 2008.
  16. R. Agarwal and M.S. Santhanam, ''Digital Watermarking in the Singular Vector Domain,'' International Journal of Image and Graphics vol., 8(3), pp. 351-368, 2008. https://doi.org/10.1142/S0219467808003131
  17. 이적식, "GCST 기반 디지털 영상 워터마킹 방법," 한국신호처리시스템 학회 논문지, 13권 3호, pp. 412-149, 2012년 7월.
  18. S. Kasmani and A. Nilchi, ''A New Robust Digital Image Watermarking Technique Based on Joint DWT-DCT Transformation,'' IEEE Int. Conf. on Convergence and Hybrid Information Technology, pp. 539-544, 2008.