基于消隐点共线约束的镜头畸变非量测校正方法  

Nonmetric Correction Method for Lens Distortion Based on Collinear Vanishing Point Constraint

作　　者：孙丽君 郭强强[1,2,3] 陈天飞 Sun Lijun;Guo Qiangqiang;Chen Tianfei(Key Laboratory of Grain Information Processing and Control of Ministry of Education,Henan University of Technology,Zhengzhou 450001,Henan,China;Zhengzhou Key Laboratory of Machine Perception and Intelligent System,Henan University of Technology,Zhengzhou 450001,Henan,China;College of Information Science and Engineering,Henan University of Technology,Zhengzhou 450001,Henan,China)

机构地区：[1]河南工业大学粮食信息处理与控制教育部重点实验室,河南郑州450001 [2]河南工业大学郑州市机器感知与智能系统重点实验室,河南郑州450001 [3]河南工业大学信息科学与工程学院,河南郑州450001

出　　处：《光学学报》2022年第23期87-95,共9页Acta Optica Sinica

基　　金：国家自然科学基金(62173127,61973104,61803146);中原科技创新领军人才资助项目(224200510008);河南省优秀青年科学基金(212300410036);河南省高校科技创新人才支持计划(21HASTIT029);河南省高等学校青年骨干教师培养计划(2019GGJS089);郑州市协同创新专项(21ZZXTCX06);河南工业大学自科创新基金支持计划(2020ZKCJ06)。

摘　　要：提出一种基于消隐点共线约束的镜头畸变非量测校正方法。针对畸变中心的定位误差问题,利用畸变模型的基本矩阵和最小二乘法,实现畸变中心的高精度定位。同时,根据消隐点共线约束,定义消隐点和直线联合度量的畸变测度函数,并使用Nelder-Mead算法进行非线性优化,迭代计算出精确的畸变模型系数。实验结果表明,所提方法能够有效、准确地对镜头畸变进行校正,方法简单易行,校正精度高。This paper proposes a nonmetric correction method for lens distortion based on the collinear vanishing point constraint. Regarding the error in distortion center positioning, the fundamental matrix of the distortion model and the least-squares method are used to achieve the high-precision positioning of the distortion center. Furthermore, the distortion measure function for the joint measure by the vanishing points and the straight-lines is defined according to the collinear vanishing point constraint, and the Nelder-Mead algorithm is employed for nonlinear optimization. Accurate distortion model coefficients are thereby calculated iteratively. The experimental results show that the proposed method can effectively and accurately correct lens distortion. Moreover, the method is simple and easy to operate and offers high correction accuracy.

关 键 词：测量 镜头畸变 非量测校正 消隐点共线约束 直线残差 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]