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Quaternion singular value decomposition (QSVD) is a robust technique ofdigital watermarking which can extract high quality watermarks from watermarkedimages with low distortion. In this paper, QSVD technique is furtherinvestigated and an efficient robust watermarking scheme is proposed. Theimproved algebraic structure-preserving method is proposed to handle theproblem of "explosion of complexity" occurred in the conventional QSVD design.Secret information is transmitted blindly by incorporating in QSVD two newstrategies, namely, coefficient pair selection and adaptive embedding. Unlikeconventional QSVD which embeds watermarks in a single imaginary unit, wepropose to adaptively embed the watermark into the optimal hiding positionusing the Normalized Cross-Correlation (NC) method. This avoids the selectionof coefficient pair with less correlation, and thus, it reduces embeddingimpact by decreasing the maximum modification of coefficient values. In thisway, compared with conventional QSVD, the proposed watermarking strategy avoidsmore modifications to a single color image layer and a better visual quality ofthe watermarked image is observed. Meanwhile, adaptive QSVD resists some commongeometric attacks, and it improves the robustness of conventional QSVD. Withthese improvements, our method outperforms conventional QSVD. Its superiorityover other state-of-the-art methods is also demonstrated experimentally.

Efficient Robust Watermarking Based on Quaternion Singular Value Decomposition and Coefficient Pair Selection