基于圆锥曲面反射映射的彩色图像盲水印方法*

本文首先讨论了Clifford代数中反射映射和旋转的性质和三维Clifford空间中彩色图像的Clifford 傅立叶变换的特点，接着构造了彩色图像水印圆锥曲面，并证明了水印圆锥曲面应用于彩色图像水印的可行性，然后提出基于圆锥曲面反射映射的彩色图像盲水印方法，该方法运用简单直观Clifford 反射映射将水印信息嵌入到原始图像中，而且水印提取不需要原始图像。实验结果显示，该方法能较好的抵抗多种滤波、加噪、旋转、剪切等攻击，是一种行之有效的彩色图像盲水印方法。

Blind color image watermarking method based on conic surface and reflection

This paper introduces the properties of reflection and rotation in Clifford algebra and discusses some useful characteristics of the Clifford Fourier Transform of the color image in 3D Clifford algebra space. In order to add watermark effectively, firstly structures a conic surface of the color image watermarking and proves the feasibility of using it to the color image watermarking. Then proposes the blind color image watermarking method based on the conic surface and reflection, which uses the theory of the reflection in Clifford algebra to add the watermark to the color image, and get the watermark from the marked image without the original image. The result of the experiment shows the algorithm has good performance of the resistance to the attack of many filtering, noise, rotation and cutting, and is an effective method.