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Efficient Optical Watermark Using Multiple Phase Wrapping and Real-Valued Functions  

Cho, Kyu-Bo (School of Electronical Engineering & Computer Science, Kyungpook Nat'l Univ.)
Seo, Dong-Hoan (Division of Electrical and Electronics Engineering, Korea Maritime Univ.)
Lee, Seung-Hee (Department of Esports Game, TaeKyeung Univ.)
Hong, Jae-Keun (School of Electronical Engineering & Computer Science, Kyungpook Nat'l Univ.)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SD / v.46, no.3, 2009 , pp. 10-19 More about this Journal
Abstract
In this paper, an efficient optical watermark method using multiple phase wrapping and real-valued decoding key is proposed. In the embedding process, two zero-padded original images placed in two quadrants on input plane are multiplied with two statistically independent random phase patterns and are Fourier transformed, respectively. Two encoded images are obtained by taking the real-valued data from these Fourier transformed images. And then two phase-encoded patterns, used as a hidden image and a decoding key, are generated by the use of multiple phase wrapping from each of the encoded images. A transmitted image is made from the linear superposition of the weighted hidden images and a cover image. In reconstruction process, the mirror reconstructed images can be obtained at all quadrants by the inverse-Fourier transform of the product of the transmitted image and the decoding key. Computer simulation and optical experiment are demonstrated in order to confirm the proposed method.
Keywords
optical image watermarking; multiple phase wrapping; real-valued function; PUSC; PER; SNR;
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