Digital Image Watermarking Based on Exponential Form with Base of 2

2의 지수형식에 기초한 디지털 이미지 워터 마킹

  • Received : 2009.10.09
  • Accepted : 2010.04.29
  • Published : 2010.04.30

Abstract

In this paper, we propose a new digital watermarking technique. The main idea of the proposed algorithm relies on the assumption that any real number can be expressed as a summation of the exponential form with base of 2 and if only consider the first few summations some numbers can be expressed in the same form. Therefore, we can be sure that some amount of changes does not affect the first few summations. The algorithm decomposes a host image in wavelet domain and intensity of the significant wavelet coefficient is expressed in exponential form with base of 2. Multiple barcode watermarks are then embedded by modifying the parity of the exponent. The proposed scheme is semi-blind and also offers either objective or subjective deteew su as well. From extracted watermarks, more accurate watermark is obtained by merging technique as a final watermark. As a simulation result, the proposed algorithm could resist most cases of salt and pepper noise, Gaussian noise and JPEG compression.

본 논문에서는 새로운 디지털 워터마킹 기법을 제안하였다. 제안한 알고리즘은 임의의 실수가 2의 지수형식의 합으로 될 수 있고, 몇 개의 수로써 표현될 수 있음을 이용하였다. 여기서, 임의의 실수가 일부분 변하더라도 2의 지수형식으로 표현하였을 경우에 큰 자리 수는 변하지 않음을 알 수 있다. 제안한 알고리즘은 입력 영상을 웨이블렛 변환하였고, 2의 지수형식으로 표현된 웨이블렛의 중요계수에 다중 바코드 워터마크를 삽입하였다. 제안한 알고리즘은 세미 블라인드이고, 객관적이면서 주관적인 워터마크 검출을 할 수 있다. 또한 병함기법을 이용함으로써 좀 더 정확한 워터마크를 추출할 수 있었다. 실험결과에서 제안한 알고리즘은 잡음 및 영상압축 공격에 대하여 향상된 결과를 보였다.

Keywords

References

  1. Chu HyungSuk and An ChongKoo, "Digital Watermarking Using Wavelet Packet Transform," Trans. KIEE, vol. 57, no. 8, August 2008, pp.1478-1483.
  2. A.Sveldlov, S.Dexter, and A.M.Eskicioglu, "Robust DCT-SVD Domain Image Watermarking for Copyright Protection: Embedding data in all frequencies," 13th European Signal Processing Conference, 2005, pp. 4-8.
  3. D.Kundur and D.Hatzinakos, "Digital Watermarking Using Multiresolution Wavelet Decomposition," Proc.ICASSP98, May 1998, pp. 2969-2972.
  4. H.Quan and S.Guangchuan, "A Semi-blind Robust Watermarking for Digital Images," Proc.ICASSP'03. April 2003, pp. 541-544.
  5. G. Xie and H. Shen, "A New Fusion Based Blind Logo-Watermarking Algorithm," IEICE Trans. Inf. Syst, vol E89-D, no. 3, March 2006, pp. 1173-1180. https://doi.org/10.1093/ietisy/e89-d.3.1173
  6. C.V.Serdean, M.K-lbrahim, A.Moemeni and M.M.Al-Akaidi, "Wavelet and Multiwavelet Watermarking," Image Processing, IET, vol. 1, issue. 2, June 2007, pp. 223-230. https://doi.org/10.1049/iet-ipr:20060214
  7. F. Huo and X. Gao, "A Wavelet Based Image Watermarking Scheme," Proc. IEEE-ICIP'06, Oct.2006, pp. 2573-2576.
  8. I. J.Cox, J.Kilian, F.T.Leghton. and T.Shamoon, "Secure Spread Spectrum Watermarking for Multimedia," IEEE Trans. Image Processing, vol 6, pp. 1673-1687, Dec 1997 https://doi.org/10.1109/83.650120
  9. I. J. Cox, M. L. Miller, and J. A. Bloom, "Digital Watermarking and Steganography" (Second edition), Morgan Kaufmann, 2008
  10. Hanan Samet, "The Quadtree and Related Hlierarchical Data Structure," Computing Survey, Vol. 16, No. 2, June 1984
  11. F.Yaghmaee and M. Jamzad, "Computing Water -mark Capacity in Images According to Their Quadtree," Proc. ISSPIT, 2005, pp. 823-826.