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首页> 外文期刊>Journal of computer sciences >Invariant Image Watermarking Using Accurate Zernike Moments | Science Publications
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Invariant Image Watermarking Using Accurate Zernike Moments | Science Publications

机译:准确的Zernike矩进行不变图像水印|科学出版物

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> problem statement: Digital image watermarking is the most popular method for image authentication, copyright protection and content description. Zernike moments are the most widely used moments in image processing and pattern recognition. The magnitudes of Zernike moments are rotation invariant so they can be used just as a watermark signal or be further modified to carry embedded data. The computed Zernike moments in Cartesian coordinate are not accurate due to geometrical and numerical error. Approach: In this study, we employed a robust image-watermarking algorithm using accurate Zernike moments. These moments are computed in polar coordinate, where both approximation and geometric errors are removed. Accurate Zernike moments are used in image watermarking and proved to be robust against different kind of geometric attacks. The performance of the proposed algorithm is evaluated using standard images. Results: Experimental results show that, accurate Zernike moments achieve higher degree of robustness than those approximated ones against rotation, scaling, flipping, shearing and affine transformation. Conclusion: By computing accurate Zernike moments, the embedded bits watermark can be extracted at low error rate.
机译: > 问题陈述:数字图像水印是最流行的图像认证,版权保护和内容描述方法。 Zernike矩是图像处理和模式识别中使用最广泛的矩。 Zernike矩的大小是旋转不变的,因此它们可以用作水印信号,也可以进一步修改以承载嵌入式数据。由于几何和数值误差,在笛卡尔坐标中计算出的泽尼克矩不准确。 方法:在这项研究中,我们采用了具有精确Zernike矩的鲁棒图像水印算法。这些矩是在极坐标中计算的,在其中消除了近似误差和几何误差。准确的Zernike矩用于图像水印中,并证明可抵抗各种几何攻击。使用标准图像评估所提出算法的性能。 结果:实验结果表明,精确的Zernike矩在旋转,缩放,翻转,剪切和仿射变换方面比近似矩具有更高的鲁棒性。 结论:通过计算准确的Zernike矩,可以以较低的错误率提取嵌入的比特水印。

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