Multimedia Tools and Applications

, Volume 75, Issue 18, pp 11097–11125 | Cite as

The novel and robust watermarking method based on q-logarithm frequency domain

  • Ta Minh Thanh
  • Keisuke Tanaka


In general, watermarking techniques on transform domain are always mainly researched in literature since it is robust against several attacks. In this paper, we continue to focus on the transform domain and extend it to the novel frequency domain, called q-logarithm frequency domain (q-LFD), for robust watermarking. In order to achieve the robustness of embedding method, we embed the scrambled watermark information into the low-band frequency of q-LFD by using the quantization index modulation (QIM) technique. According to the simulation results, our method can improve the quality of embedded image and also the robustness of watermark based on the optimized parameters: q of q-LFD and Q of QIM. Experimental results show that our proposed method is also robust against geometric attacks, processing attacks, filtering attacks, and so on.


q-logarithm frequency domain (q-LFD) q-logarithm function q-exponential function Quantization index modulation (QIM) technique Image watermarking 



We thank the anonymous reviewers for their helpful comments.

This work is supported by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Scientific Research (A) No.24240001, a grant of I-System Co. Ltd., NTT Secure Platform Laboratories and CREST, JST.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Tokyo Institute of Technology and JST CRESTTokyoJapan
  2. 2.Le Quy Don Technical UniversityHa Noi CityVietnam

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