Digital Watermarking Scheme based on SVD and Triplet

SVD 및 트리플릿 기반의 디지털 워터마킹 기법

  • 박병수 (울산대 공대 전기전자공학부) ;
  • 추형석 (파웰테크윈(주)) ;
  • 안종구 (울산대 공대 전기전자공학부)
  • Published : 2009.05.01


In this paper, we proposed a robust watermark scheme for image based on SVD(Singular Value Transform) and Triplet. First, the original image is decomposed by using 3-level DWT, and then used the singular values changed for embedding and extracting of the watermark sequence in LL3 band. Since the matrix of singular values is not easily altered with various signal processing noises, the embedded watermark sequence has the ability to withstand various signal processing noise attacks. Nevertheless, this method does not guarantee geometric transformation(such as rotation, cropping, etc.) because the geometric transformation changes the matrix size. In this case, the watermark sequence cannot be extracted. To compensate for the above weaknesses, a method which uses the triplet for embedding a barcode image watermark in the middle of frequency band is proposed. In order to generate the barcode image watermark, the pattern of the watermark sequence embedded in a LL3 band is used. According to this method, the watermark information can be extracted from attacked images.



  1. 이정기, 허진, 이광, 이호영, 이준, '디지털 이미지 데이터의 웨이블릿 워터마킹', 한국콘텐츠 학회, Vol. 3, 2005
  2. Victor V., Mariko., and Hector M., 'Analysis of a Wavelet-based Watermarking Algorithm', Proceeding of the 14th Int. Conf. on Electronics, Communication and Computers, 2004
  3. Gilbert Strang, 'Linear Algebra and Its Application', Thomson, 4/E, 2006
  4. Ruizhen Liu and Tieniu Tan, 'An SVD-Based Watermarking Scheme for Protecting Rightful Ownership', IEEE TRANSACTION ON MULTIMEDIA, Vol. 4, No.1, pp.121-pp.128, MARCH, 2002
  5. Long Ma, Changjun Li and Shuni Song, 'Digital Watermarking of Spectral Images Using DWT-SVD', Int. Conf. Communications, circuits and Systems, Vol. 1, pp.15-pp.18, June, 2006
  6. Veysel Aslantas, 'An SVD Based Digital Image Watermarking Using Genetic Algorithm', ISSPA, pp.1-pp.4, Feb., 2007
  7. Feng Liu and Yangguang Liu, 'A Watermarking Algorithm for Digital Image Based on DCT and SVD', CISP'08, Vol. 1, pp.380-pp.383, May, 2008
  8. Dili, R.B. and Mwangi, E., 'An Image Watermarking Method Based on the Singular Value Decomposition and the Wavelet Transform', AFRICON 2007, pp.1-pp.5, Sept., 2007
  9. 유저연, 유지상, '특이치 분해를 이용한 비가시적 워터마크 기법', 한국통신학회, 한국통신학회논문지 제28권 11C호, pp., 2003