Discontinuity of SVD Embedding Mapping Used for Watermarks

  • Kazuo Ohzeki
  • Yuki Seo
  • Engyoku Gi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5872)


This paper presents a verification test on a quasi-one-way characteristic of SD watermarking. Norm of distance between tow matrices is one of measures for evaluating degree of computational burden against reverse analysis.The norm distance shows a kind of nonlinearity and even non-continous phenominon, in spite of the norm is smooth quadratic function.


SVD one-way function mapping norm eigen-value 


  1. 1.
    Ohzeki, K., Sakurai, M.: SVD-Based Watermark with Quasi-One-Way Operation by Reducing a Singular Value Matrix Rank. In: Proc. The Firste-forensics, Adelade, Australia, Technicalsession B4. Watermarking, 1 (January 22, 2008)Google Scholar
  2. 2.
    Qi, X., Brimley, B., Brimley, G.: Anadaptive QIM- and SVD-based digital image water marking scheme in the wavelet domain. In: Proc. ICIP, October 2008, pp. 421–424 (2008)Google Scholar
  3. 3.
    Ohzeki, K., Gi, E.: Quasi-One-Way Function and Its Application stoImage Watermarking. In: Proc. MMAP in IMCSIT, Wisła, Poland, pp. 501–508 (October 2008)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Kazuo Ohzeki
    • 1
  • Yuki Seo
    • 2
  • Engyoku Gi
    • 1
  1. 1.ISE, Shibaura Institute of TechnologyTokyoJapan
  2. 2.Liberal ArtsSaitamaJapan

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