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相机内参数标定的评价指标研究与实验
引用本文:李丰阳,许其凤,贾学东,董明,张伟政.相机内参数标定的评价指标研究与实验[J].测绘科学技术学报,2017(5):519-524.
作者姓名:李丰阳  许其凤  贾学东  董明  张伟政
作者单位:1. 信息工程大学,河南郑州450001;61646部队,北京100192;2. 信息工程大学,河南郑州,450001;3. 卫星导航工程中心,北京,100094;4. 国网河南省电力公司郑州供电公司,河南郑州,450052
基金项目:国家自然科学基金项目(41274046),地理信息工程国家重点实验室重点基金项目(SKLGIE2014-Z-2-1)
摘    要:相机内参数的标定受标定环境、标定物规格、标定相片数量等诸多难以进行理论分析的因素影响,导致在实际工程应用中,相机内参数标定的评估存在精度不确定性问题。基于数学统计量设计了相机内参数标定精度评估指标,针对标定相片数量和标定物距对相机标定精度的影响进行研究,并对两种典型相机——工业相机和数码相机,进行内参数标定实测试验及分析。结果表明,当标定参数值达到收敛时,相片收敛数量与标定物距成正比关系;与像主点标定相比,焦距的标定收敛效率更高,达到收敛所需的相片数量更少,但随着标定物距增大,两者的差异逐渐缩小。内参数标定精度的评估指标为相机内标定算法的改进及操作流程提供评估手段,为实际标定工作提供参考和借鉴。

关 键 词:相机标定  计算机视觉  内参数标定  标定精度评估  相机畸变模型

Research and Experiment on Evaluation Index of Camera Intrinsic Calibration
Abstract:The calibration of intrinsic parameters is affected by many factors that is difficult to analyze theoretically,such as the calibration environment,specification of calibration object,the number of calibration photos,which leads to the precision uncertainty of evaluation of intrinsic calibration in practical engineering applications.According to the calibration photo number and calibration distance,the influence of camera calibration precision is studied,the evaluation indexes of camera intrinsic parameters based on statistics are designed,and the experiment and analysis of camera calibration are carried out on two typical cameras——industrial camera and digital camera,whose results indicate that when calibration parameter achieving convergence,the number of converged photos is proportional to the distance calibration;compared with the principal point,calibration's convergent efficiency of the focal length is higher and the number of converged photos is less,but with the increase of calibration distance,the difference of them gradually reduced.This evaluation indexes provide the evaluation means for the improvement of the camera calibration algorithm and the operation process,and provide reference for the actual calibration work.
Keywords:camera calibration  computer vision  intrinsic parameters calibration  calibration precision evaluation  camera distortion model
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