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Image watermarking via fractional polar harmonic transforms

[+] Author Affiliations
Min Qi

Beijing Institute of Technology, School of Mathematics and Statistics, Beijing 100081, China

Bing-Zhao Li

Beijing Institute of Technology, School of Mathematics and Statistics, Beijing 100081, China

Beijing Key Laboratory of Fractional Signals and Systems, Beijing 100081, China

Huafei Sun

Beijing Institute of Technology, School of Mathematics and Statistics, Beijing 100081, China

J. Electron. Imaging. 24(1), 013004 (Jan 06, 2015). doi:10.1117/1.JEI.24.1.013004
History: Received May 29, 2014; Accepted November 14, 2014
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Abstract.  Invariant harmonic transforms based on the fractional Fourier transform are proposed in this paper. The so-called fractional polar harmonic transforms (FrPHTs) with the order parameter α are first defined, which are generalizations of the PHTs. Second, a watermarking scheme is presented and discussed in detail associated with the newly defined FrPHTs. Finally, the simulations are clearly performed to verify the well capabilities of the transforms on image watermarking, which show that the proposed transforms with suitable parameters outperform the traditional PHTs. In addition, the experimental results also demonstrate that the order parameter α has an effect on the performance of FrPHTs in the image watermarking robustness and can improve the watermarking safety.

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Citation

Min Qi ; Bing-Zhao Li and Huafei Sun
"Image watermarking via fractional polar harmonic transforms", J. Electron. Imaging. 24(1), 013004 (Jan 06, 2015). ; http://dx.doi.org/10.1117/1.JEI.24.1.013004


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