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(a) Original audio signal, (b) original watermark, (c) secret share, (d) public share, (e) extracted watermark, and (f) reduced watermark.
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To enhance the security of watermark w c, Arnold transform is applied at first.
Thus, the origin watermark w c is permuted by this transform.
The watermark w' c can then be reconstructed by the merging of these two segments.
Use Arnold transform to the obtained watermark w c for (T-H) times, where T is the period of Arnold transform. .
1. Apply Arnold transforms to origin watermark w c for H times, where k and H are used as secret keys. 2.
In each test, we simulated joint decryption and watermarking performed by C different clients, where C ranges from 1 to 100, followed by the averaging attack described in (10).
c Watermarked image of Peppers (q = 51).
More formally, for each embedding area g i (x, y), i = 1... M (where M is the number of feature points) of the normalized image we additively embed the DCT-domain watermark as follows D C T ( g i w ( x, y ) ) = D C T ( g i ( x, y ) ) + α ⋅ W ( u, v ) (26).
(a) Original "UNCG" image of size 256 × 256 pixels, (b) tamper data and their locations, (c) proposed watermark and tampered data PSNR = 37.74 dB, (d) Zhang-Wang watermark and tampered data PSNR = 37.87, (e) tampered pixels detected by AgTDM, and (f) tampered pixels detected by ZW approach.
(a) Original "Biltmore Estate" image of size 2 256 × 256 pixels, (b) tamper data and their locations, (c) proposed watermark and tampered data-PSNR = 38.30 dB, (d) Zhang-Wang watermark and tampered data-PSNR = 37.97, (e) tampered pixels detected by AgTDM, and (f) tampered pixels detected by ZW approach.
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