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基于单位四元数的小像幅面阵CCD相机检校
引用本文:王慧,王冬红,刘军,叶秋果,王利勇.基于单位四元数的小像幅面阵CCD相机检校[J].海洋测绘,2011,31(3):40-43.
作者姓名:王慧  王冬红  刘军  叶秋果  王利勇
作者单位:1. 解放军信息工程大学测绘学院,河南,郑州,450052
2. 解放军信息工程大学测绘学院,河南,郑州,450052;中国科学院,遥感应用研究所,北京,100101
3. 解放军信息工程大学测绘学院,河南,郑州,450052;海军海洋测绘研究所,天津,300061
摘    要:介绍了面阵CCD相机的径向畸变、偏心畸变模型,建立了用于非量测相机标定的扩展共线条件方程.引入了四元数姿态描述方法,利用单位四元数替代外方位角元素(ω,ψ,к)构建旋转矩阵,建立了基于单位四元数的相机标定数学模型.采用室内三维控制场对小像幅面阵CCD相机进行了标定实验,取得了优于0.2个像素的定位精度.

关 键 词:四元数  相机检校  欧拉角  径向畸变  偏心畸变

Calibration of Small Size Array CCD Camera Based on Unit Quaternions
WANG Hui,WANG Dong-hong,LIU Jun,YE Qiu-guo,WANG Li-yong.Calibration of Small Size Array CCD Camera Based on Unit Quaternions[J].Hydrographic Surveying and Charting,2011,31(3):40-43.
Authors:WANG Hui  WANG Dong-hong  LIU Jun  YE Qiu-guo  WANG Li-yong
Institution:1.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou,Henan,450052;2.Institute of Remote Sensing Application Chinese Academy of Sciences,Beijing,100101;3.Naval Institute of Hydrograhic Surveying and Charting,Tianjin,300061)
Abstract:The paper has introduced a model of radial distortion and eccentric distortion for array CCD camera and established the expand collinearity equation for calibration on non-measurable camera.Quaternion has been used to describe the attitude parameters.The mathematical model has been established for camera calibration based on unit quaternions.The rotation matrix is constituted of unit quaternions instead of Euler angels(ω,φ,κ).The calibration experiments of small size array CCD camera have been done by using 3D control field indoors.We have acquired better orientation precision above 0.2 pixel.
Keywords:quaternion  camera calibration  Euler angels  radial distortion  eccentric distortion
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