Abstract
An application of two-dimensional time-frequency analysis and corresponding two-dimensional eigenvalue decomposition for image watermarking purpose is proposed. The eigenvalue decomposition is used to provide a criterion for watermarking coefficients selection. It is primarily used to select pixels suitable for watermarking that belong to busy image regions. The watermark embedding is performed in the space/spatial-frequency domain by using middle frequency components, whose number is determined from the eigenvalue decomposition, as well. In order to provide its imperceptibility, watermark is modelled and adapted to the local frequency content of each considered pixel. For an efficient watermark modelling procedure, the concept of space-varying filtering is employed. Furthermore, the watermark detection is done within the space/spatial-frequency domain, which facilitates detection process due to the larger number of coefficients comparing to the space or frequency domain, separately. The efficiency of the proposed procedure and its robustness in the presence of various attacks is proven on the examples.
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References
Al-khassaweneh M, Aviyente S (2004) A time-frequency inspired robust image watermarking. in IEEE Conference Record of the Thirty-Eighth Asilomar Conference, vol. 1, pp 392–396
Barni M, Bartolini F (2004) Watermarking systems engineering. Marcel Dekker, New York
Cox J, Miller ML, Bloom JA (2002) Digital watermarking. Kaufmann, San Francisco
Heeger D (1997) Signal detection theory. Teaching handout, Dept. Psych., Stanford University, Stanford, CA
Hernandez JR, Amado M, Perez Gonzales F (2000) DCT-domain watermarking techniques for still images: detector performance analysis and a new structure. IEEE Trans Image Process 9:55–68
Mobaseri BG (2002) Digital watermarking in the joint time-frequency domain. IEEE International Conference on Image Processing, Sept. 2002, New York, vol. 3, pp. 481–484
Muharemagić E, Furht B (2006) Survey of watermarking techniques and applications. In: Furht B, Kirovski D (eds) Multimedia watermarking techniques and applications. Auerbach, New York, pp 91–130
Nikolaidis A, Pitas I (2003) Asymptotically optimal detection for additive watermarking in the DCT and DWT domains. IEEE Trans Image Process 12(5):563–571
Stanković LJ (1994) A method for time-frequency signal analysis. IEEE Trans Signal Process 42(1):225–229
Stanković S, Stanković LJ, Uskoković Z (1995) On the local frequency, group shift and cross terms in some multidimensional time-frequency distributions; a method for multidimensional time-frequency analysis. IEEE Trans Signal Process 43(7):1719–1724
Stanković LJ, Stanković S, Djurović I (2000) Space/spatial-frequency based filtering. IEEE Trans Signal Process 48(8):2343–2352
Stanković LJ, Thayaparan T, Daković M (2006) Signal decomposition by using the S-method with application to the analysis of HF radar signals in sea-clutter. IEEE Trans Signal Process 54(11):4332–4342
Stanković S, Orović I, Žarić N (2010) An application of multidimensional time-frequency analysis as a base for the unified watermarking approach. IEEE Trans Image Process 19(4), April
Wickens TD (2002) Elementary signal detection theory. Oxford University Press, Oxford
Žarić N, Orović I, Stanković S, Ioana C (2008) Space/spatial-frequency based image watermarking. in Proc. 50th International Symposium ELMAR 2008, pp 101–104
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This work is supported by the Ministry of Education and Science of Montenegro.
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Stanković, S., Orović, I., Žarić, N. et al. Two dimensional time-frequency analysis based eigenvalue decomposition applied to image watermarking. Multimed Tools Appl 49, 529–543 (2010). https://doi.org/10.1007/s11042-009-0446-x
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DOI: https://doi.org/10.1007/s11042-009-0446-x