Abstract
In this article, a robust blind watermarking scheme using wave atoms with multiple descriptions is proposed. In the presented scheme, the watermark image is embedded in the wave atom transform domain. One of the sub-bands is used to carry watermark data. The experimental results indicate that superiority of the proposed method against common attacks such as JPEG compression, Gaussian noise addition, median filtering, salt and pepper noise, etc., compared with the existing watermarking schemes using multi-scale transformations.
Highlights
Along with the rapid development and widespread use of multimedia and computer network technologies, various multimedia products such as image, audio, video are increasingly exposed to illegal possession, reproduction, and dissemination
We present a blind watermarking method using wave atom transform based on the multiple description coding (MDC) [19]
We introduce the common quality metric used for evaluating the robustness of watermarking algorithm, namely normalized crosscorrelation (NC), usually representing the correlation between the embedded watermark W and the extracted watermark W’
Summary
Along with the rapid development and widespread use of multimedia and computer network technologies, various multimedia products such as image, audio, video are increasingly exposed to illegal possession, reproduction, and dissemination. We present a blind watermarking method using wave atom transform based on the multiple description coding (MDC) [19]. Wave atom transform Demanet and Ying [15] introduced wave atoms that can be seen as a variant of 2D wavelet packets and obey the parabolic scaling law, i.e., wavelength ~ (diameter)2 They proved that oscillatory functions or oriented textures (e.g., fingerprint, seismic profile, engineering surfaces) have a significantly sparser expansion in wave atoms than in other fixed standard representations like Gabor filters, wavelets, and curvelets. The main idea of the proposed method is to adjust the energy of certain squares within the wave atom tiling for different descriptions according to the watermark bit value. By comparing the energy differences between the square pairs in the wave atom tiling corresponding to odd and even descriptions, the embedded watermark can be extracted.
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