基于偏微分方程图像放大及在毫米波图像中的应用  

Image magnification method based on PDE and its application in millimeter wave Image

作　　者：周昌雄[1,2] 颜廷秦[1,2] 刘淑芬[1] 尚丽[1] 刘韬[1] 

机构地区：[1]苏州市职业大学电子信息工程系,江苏苏州215104 [2]苏州市数字化设计与制造技术重点实验室,江苏苏州215104

出　　处：《激光杂志》2013年第4期33-34,共2页Laser Journal

基　　金：国家自然科学基金项目(NO.60970058);江苏省自然科学基金项目(NO.BK2009131);苏州市职业大学创新团队建设项目(NO.3100125);苏州市基础设施建设计划项目(SZS201009);江苏省青蓝工程项目资助

摘　　要：提出融合方向扩散和高斯热扩散以及灰度保真项的偏微分方程图像放大模型,给出了数字实现方案,并应用到毫米波图像放大中。通过对Lena图像实验表明,高斯热扩散可减少线性插值算法带来的锯齿现象,方向扩散保护图像边缘的连续性,灰度保真项可平滑方块效应及噪声,与线性插值和文献〔7〕相比,本文方法在均方误差、信噪比和边缘保护指数性能最好。对手枪毫米波图像放大2倍时,本文算法在手枪背景区域平滑噪声、抑制虚假边缘能力明显好于文献〔7〕算法。As Gaussian heat diffusion has ability in filtrating saw tooth phenomenon caused by linear interpolation, and directional diffusion does in keeping on edge, and gray fidelity restraint item can smooth blocking artifacts, and remove noise satisfactorily, a new image magnification method, which is based on partial differential equation （PDE） involving above three items, is presented in this paper. Then we propose a digital scheme for this algorithm and give an application in the image magnification of millimeter wave. Compared to the linear interpolation and the method in ,the Lena image experimental results indicate that our method has a better performance than others in mean square error （MSE） and signal to noise（SNR） as well as edge keeping index （EKI） used as some quantitativemeasures of images quality. Besides, the experiment on the handgun millimeter wave image which was magnified 2 times shows that our method has also a better ability to remove noise and eliminate the f.alse,edgein background than the method in.

关 键 词：偏微分方程 毫米波图像放大 方向扩散 高斯热扩散 灰度保真 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]