摘要
根据成像原理,建立了理想光学系统成像的数学模型。通过分析该模型中物与像的对应关系,得出了射影失真产生的根源是光学系统放大率的不恒定,并与相机的外参数:倾角及视场的大小有着非线性的变化关系。提出了正射影失真与负射影失真的概念,对其进行了详尽的理论分析,并给出了数学模型及分布规律。依据上述结论,分析了二维射影对应与仿射对应在摄影测量应用中的实质区别,并利用物像平面间的射影对应关系,使试验中的测量精度达到了测试的要求。
A new mathematic model of imaging in perfect optical system was established based on the imaging principle of cameras. The correspondence between object space and image space was analyzed in the model established. The reason for Projective distortion that the amplification ratio is not constant but has nonlinear relation with pitch and tilt angles and field of view of cameras was found out. Positive projective distortion and negative projective distortion were defined, and quantitative and particular research on them has been done, The distribution regularities of projective distortions were given. The conclusion above was used to explain the measure inaccuracy in our aerial photo topography, and to find out the essential difference between projective and affine correspondences in photogrammetry. The mature 2-D projective correspondence was adopted to improve our aerial test and measurement precision successfully.
出处
《光电工程》
EI
CAS
CSCD
北大核心
2006年第5期31-35,共5页
Opto-Electronic Engineering
基金
国防科研项目基金资助(104-21)
关键词
摄影测量
光学系统
数学模型
射影失真
Photogrammetry
Optical system
Mathematic model
Projective distortion
