基于菲涅耳变换的数字全息水印算法及实现  

Digital Holographic Watermarking Algorithm and Its Implementation Based on Fresnel Transform

作　　者：夏开伟 刘福平[1] 石坚[1] 王博远[1] 王安玲[1] 

机构地区：[1]北京印刷学院,北京102600

出　　处：《北京印刷学院学报》2015年第2期25-27,共3页Journal of Beijing Institute of Graphic Communication

基　　金：北京市自然科学基金重点项目(KZ201510015015);北京市自然基金(4142016);北京市教委科技计划面上项目(KM201510015009);北京印刷学院重点项目(E-a-2013-19)

摘　　要：针对菲涅耳积分变换的数值计算方法开展了研究,利用快速傅立叶积分实现了菲涅耳积分,并编程实现了其计算。选择两幅图像,其中一幅作为水印信息,另一幅作为宿主图像,利用菲涅耳衍射积分计算二维图像在全息记录面上的物光场分布,然后加入参考光,计算物光场与参考光光强衍射叠加全息图,实现水印全息图的计算。选择合适的嵌入强度将水印全息图嵌入到宿主图像中,实现水印信息的嵌入。做整个水印嵌入过程的逆向变换可得二维水印全息图,对该图再做二维逆向菲涅耳积分变换提取二维水印信息,实现水印的快速提取。算例表明:该方法基本不改变宿主图像的质量,具有不可撕毁性和很好的鲁棒性。According to the paper, the Fresnel integral transform numerical calculation is carried out. It uses the fast Fourier integral to realize the Fresnel integral, and is realized by programming. We can choose two images, one as watermarking information and the other as the host image, and use Fresnel diffraction integral calculation of watermarking information image on the holographic records of the distribution of the object light field, and then add the reference light to calculate the object light field and reference light strong diffraction hologram. By this above steps, we can realize the watermarking hologram calculation. Owing to realize the watermarking embedding, it is important to choose the appropriate embedding strength to embed watermark hologram into the host image. According to the reverse transformation of the whole process of watermarking embedding, the 2D watermarking hologram can be got. On the picture, doing 2D inverse Fresnel integral transform can extract the two-dimensional watermarking information, so it is rapid and available to extract the watermarking information. The computing example indicate that this method does not change the quality of host image, has property not torn and a good ro-bustness.

关 键 词：菲涅耳变换 宿主图像 全息水印 

分 类 号：O484.41[理学—固体物理] O441.4[理学—物理]