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An invisible watermarking scheme using the SVD  

유주연 (한양대학교 자연과학대학 수학과)
유지상 (광운대학교 전자정보대학 전자공학과)
김동욱 (광운대학교 전자정보대학 반도체 및 신소재 공학과)
김대경 (한양대학교 과학기술대학 응용수학과)
In this paper, we propose a new invisible digital watermarking scheme based on wavelet transform using singular value decomposition. Embedding process is started by decomposing the lowest frequency band image with 3${\times}$3 block among which we define the watermark block chosen by a key set; entropy and condition number of the block. A watermark is embedded in the singular values of each watermark blocks. This provides a robust watermarking in lowest possible time-frequency domain. To detect the watermark, we are locally modeling an attack as 3${\times}$3 matrices on the watermark blocks. Combining with the SVD and the attack matrices, we estimate watermark set corresponding to the watermark blocks. In each watermark block, we determine an optimal watermark which is justified by the T-testing. A numerical experiment shows that the proposed watermarking scheme efficiently detects the watermarks from several JPEG attacks.
digital watermarking; singular value decomposition; T-testing; wavelet transform;
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