Recently, most methods of data hiding focused on perfect embedding. On the contrary, the watermarking techniques concentrated on better extraction. In this paper, the schemes of reversible data hiding and watermarking extraction are combined for color images watermarking. As a result, an improved Prediction-error (PE) watermark embedding based on Integer Haar Discrete Wavelet Transform (IHDWT) is proposed. During the extraction stage, two-dimensional Principal Component Analysis (2DPCA) is applied for blind watermark extraction. The experimental results have shown that our method can embed and extract the watermark accurately and can still resist against various attacks efficiently.
In this paper, a fast multiplication computing method utilizing the complement representation method and canonical recoding technique is proposed. By performing complements and canonical recoding technique, the number of partial products can be reduced. Based on these techniques, we propose algorithm provides an efficient multiplication method. On average, our proposed algorithm to reduce the number of k-bit additions from (0.25k+logk/k+2.5) to (k/6 +logk/k+2.5), where k is the bit-length of the multiplicand A and multiplier B. We can therefore efficiently speed up the overall performance of the multiplication. Moreover, if we use the new proposes to compute common-multiplicand multiplication, the computational complexity can be reduced from (0.5 k+2 logk/k+5) to (k/3+2 logk/k+5) k-bit additions.
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