一种图像畸变的显-隐式校正方法  

An explicit-implicit correction method for image distortion

作　　者：于舒春[1] 臧希喆[1] 高永生[1] 赵杰[1] 

机构地区：[1]哈尔滨工业大学机器人研究所,哈尔滨150080

出　　处：《哈尔滨工业大学学报》2008年第9期1387-1390,共4页Journal of Harbin Institute of Technology

基　　金：国家高技术研究发展计划资助项目(2001AA422250);长江学者和创新团队发展计划资助项目

摘　　要：精确的畸变校正模型是一个包含径向畸变系数(k1,k2)和切向畸变系数(p1,p2)的五次多项式,为了解决对其迭代求解的问题.提出了一种显-隐式畸变校正方法.此方法将图像畸变的显式校正和隐式校正相结合,用径向畸变系数(k1,k2)、切向畸变系数(p1,p2)和不含任何物理意义的校正因子λn构建一个显-隐式畸变校正模型.然后用最小二乘法求解此模型,进而实现图像的畸变校正.实验结果表明,此方法不但求解简单,而且精度很高.The precise model for distortion correction is a fifth-order polynomial which includes the radial distortion coefficient （k1 ,k2 ） and the tangential distortion coefficient （p1,P2 ）, and it is difficult to obtain its iterative solution. An explicit-implicit correction method for the image distortion is presented. This method combines the explicit method and the implicit method. An explicit-implicit model is constructed by （k1 ,k2） , （pl, P2） and the correction on coefficient λn （ 1 ≤ n ≤ 4） which has no physical meanings. The least squares technique is used to solve this model, and then the image distortion is corrected. The experimental results show that the solution to this explicit-implicit correction method is easy and the precision of the distortion correction is high.

关 键 词：计算机视觉 显-隐式校正 最小二乘法 畸变校正 

分 类 号：TP242[自动化与计算机技术—检测技术与自动化装置]