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图学学报

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基于NSCT 的自适应乘性水印局部最优非线性盲检测算法

  

  • 出版日期:2016-06-30 发布日期:2016-06-28
  • 基金资助:
    江苏省高校自然科学研究面上项目(14KJD110004)

Locally Optimal Nonlinear Blind Detection Algorithm for Adaptive Multiplicative Watermarks in NSCT Domain

  • Online:2016-06-30 Published:2016-06-28

摘要: 图像水印算法研究是多媒体技术领域中的重要议题。比较并结合当前两类主流的 图像水印算法,提出了一种基于非下采样Contourlet 变换的自适应乘性水印算法。借鉴Barni 的“pixel-wise masking”模型和冗余小波域掩盖效应建模的做法,建立非下采样Contourlet 变换域 掩盖效应计算模型。用广义高斯分布模型和Cauchy 分布模型描述非下采样Contourlet 变换系数 的统计特性,将水印的检测问题表述为一个复合假设检验。通过理论推导分别建立了乘性水印 的两种局部最优非线性盲检测器及检测门限的自适应确定方法。实验结果表明,非下采样 Contourlet 变换域掩盖效应计算模型使得水印嵌入算法具有良好的视觉不可见性,两种检测器在 无原始图像和自适应嵌入强度系数参与检测的情况下均能准确地检测到水印信息的存在。实验 结果同时显示,基于Cauchy 分布的盲检测器在检测效果和检测时间方面优于基于广义高斯分 布的盲检测器。

关键词: 非下采样Contourlet 变换, 广义高斯分布, 对称α-稳定分布, 柯西分布, 自适应乘性水印, 局部最优非线性检测器, 盲检测器

Abstract: Research of image watermarking algorithms is an important issue in the field of multimedia technology. By comparing and combing the current two leading watermarking algorithms, an adaptive multiplicative watermarking algorithm is proposed. Motivated by Barni’s “pixel-wise masking” model and redundant wavelet domain masking effect modeling approach, the nonsubsampled Contourlet transform domain masking effect model is established. With generalized Gaussian distribution model and Cauchy distribution model to describe the statistical properties of the nonsubsampled Contourlet transform coefficients, the watermark detection problem is then addressed as a composite hypothesis testing. Theoretical analysis leads to two locally optimal nonlinear blind detectors for adaptive multiplicative watermarks as well as adaptive methods for determining detection thresholds. The experiment results show that the nonsubsampled Contourlet transform domain masking model achieves good visual invisibility, and watermarks can be accurately detected without using the original images and the adaptive embedding strength factors. In addition, Cauchy distribution based blind detector is found superior to the blind detector based on the generalized Gaussian distribution both in terms of detection performance and detection efficiency.

Key words: nonsubsampled Contourlet transform, generalized Gaussian distribution, symmetric α-stable distribution, Cauchy distribution, adaptive multiplicative watermarks, locally optimal nonlinear detector, blind detector