逆透视映射公式的误差分析及准确度验证  

Eror Analysis and Precision Validation of Inverse Perspective Mapping Formulae

作　　者：曹毓[1] 冯莹[1] 雷兵[1] 杨云涛[1] 赵立双[1] 

机构地区：[1]国防科学技术大学光电科学与工程学院,长沙410073

出　　处：《光子学报》2011年第12期1833-1838,共6页Acta Photonica Sinica

基　　金：总后勤部预研项目资助

摘　　要：从数学上分析了目前普遍使用的逆透视映射公式的误差,给出重新推导的逆透视映射数学公式.设计实验验证了采用本文公式进行逆透视映射的效果,并与现有两公式的效果进行了比较.实验结果表明:无论相机内外参量如何变化,本文推导出的公式其IPM变换效果均好于现有公式.在相机架设高度等参量确定的条件下,采用改进后的公式,逆透视映射变换的相对误差平均为0.85%,较现有的公式准确度有较大提高,能更好地满足智能导航和路面状况勘测等对近距离图像的逆透视映射变换应用要求.Errors of two Inverse Perspective Mapping（IPM） formulae are analyzed in mathematics,and a new IPM formula is deduced.An experiment is designed to validate the IPM result from different formulae.Experimental results show that,whatever the parameter of camera is,the IPM result obtained by the third formula has no distortion.In the special condition of camera installation,the average error of the deduced formula is 0.85%.Consequently,the IPM transform result of the improved formula is more precise and can satisfy the system requirement in smart navigation and road surface reconnaissance field.

关 键 词：图像处理 逆透视映射 智能导航 路面勘测 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]