角锥体解算外方位元素的改进方法
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摘要
传统的空间后方交会求解外方位元素的方法,主要是利用共线条件方程,由于求解过程中同时求解线元素和角元素,从而忽略了两者之间的相关性。本文采用角锥体原理进行空间后方交会的改进方法,可忽略线元素和角元素之间的相关性,同时利用多余观测条件,对外方位线元素、角元素均进行平差计算,即采用3个以上控制点,利用最小二乘原理,可提高外方位元素的解算精度。本文在已有的相关理论基础上,提出了基于角锥体原理的空间后方交会的改进算法,并采用算例进行验证。
The traditional space resection method for calculating exterior orientation elements,is mainly using the collinearity equations,which are calculating line elements and angle elements at the same time during the calculating process. As a result,it would ignore the correlation between line elements and angle elements. An improved algorithm of space resection based on pyramid principle,which can overcome the correlation between line elements and angle elements,is proposed in this paper. Meanwhile,this method takes the advantage of redundant observation conditions,and makes an adjusted calculation on exterior orientation elements including line elements and angle elements. By using more than three control points,based on the least squares principle,calculating precision of exterior orientation elements can be improved. Examples how the results precision of the proposed algorithm is higher than that of other methods.
The traditional space resection method for calculating exterior orientation elements,is mainly using the collinearity equations,which are calculating line elements and angle elements at the same time during the calculating process. As a result,it would ignore the correlation between line elements and angle elements. An improved algorithm of space resection based on pyramid principle,which can overcome the correlation between line elements and angle elements,is proposed in this paper. Meanwhile,this method takes the advantage of redundant observation conditions,and makes an adjusted calculation on exterior orientation elements including line elements and angle elements. By using more than three control points,based on the least squares principle,calculating precision of exterior orientation elements can be improved. Examples how the results precision of the proposed algorithm is higher than that of other methods.
引文
[1]王之卓.摄影测量原理[M].北京:测绘出版社,1979.
[2]姚吉利,张大富.改进的空间后方交会直接解法[J].山东理工大学学报:自然科学版,2005,19(2):6-9.
[3]张永军,孔胃.利用单幅影像的空间目标姿态测定方法[J].西安交通大学学报,2009,43(9):56-61.
[4]江刚武,姜挺,王勇,等.基于单位四元素的无初值依赖空间后方交会[J].测绘学报,2007,31(2):169-175.
[5]王永波,汪云甲,杨化超.基于单位四元数描述的单像空间后方交会算法[J].中国矿业大学学报,2015,44(3):557-565.
[6]官云兰,程效军,周世建,等.基于单位四元数的空间后方交会解算[J].测绘学报,2008,37(1):30-35.
[7]付仲良,周凡,俞志强.综合多种特征的后方交会法[J].测绘学报,2014,43(8):827-834.
[8]Haralick B M,Lee C N,Ottenberc K,et al.Review and Analysis of Solutions of the Three Point Persoective Pose Estimation Problem[J].International Journal of Computer Vision,1994,13(3):331-356.
[9]官云兰,周世健,周铭,等.基于角锥体原理的空间后方交会改进算法[J].测绘科学,2006,31(2):27-29.
[10]官云兰,程效军,吕继生.有多余控制点的角锥体影像外方位元素解算[J].桂林工学院学报,2007,27(3):363-365.
[11]冯文灏.近景摄影测量[M].武汉:武汉大学出版社,2002.
[12]张一平,龚志辉,王勃.基于大倾角的角锥体空间后方交会研究[J].测绘科学,2012,21(2):17-20.
[13]张春森,张觅.依初值与无初值单位四元数空间后方交会的比较[J].测绘科学,2015,40(4):3-6,10.
[14]陈瑞,鲍红波,刘峰.基于C#混合编程的角锥体法空间后方交会实现[J].科技创新与生产力,2012(9):98-100.
[15]李加元,胡庆武,艾明耀.以重心坐标为基准的空间后方交会非迭代法[J],测绘学报,2015,44(9):988-994.
[16]李德仁,郑肇宝.解析摄影测量学[M].北京:测绘出版社,1992.
[2]姚吉利,张大富.改进的空间后方交会直接解法[J].山东理工大学学报:自然科学版,2005,19(2):6-9.
[3]张永军,孔胃.利用单幅影像的空间目标姿态测定方法[J].西安交通大学学报,2009,43(9):56-61.
[4]江刚武,姜挺,王勇,等.基于单位四元素的无初值依赖空间后方交会[J].测绘学报,2007,31(2):169-175.
[5]王永波,汪云甲,杨化超.基于单位四元数描述的单像空间后方交会算法[J].中国矿业大学学报,2015,44(3):557-565.
[6]官云兰,程效军,周世建,等.基于单位四元数的空间后方交会解算[J].测绘学报,2008,37(1):30-35.
[7]付仲良,周凡,俞志强.综合多种特征的后方交会法[J].测绘学报,2014,43(8):827-834.
[8]Haralick B M,Lee C N,Ottenberc K,et al.Review and Analysis of Solutions of the Three Point Persoective Pose Estimation Problem[J].International Journal of Computer Vision,1994,13(3):331-356.
[9]官云兰,周世健,周铭,等.基于角锥体原理的空间后方交会改进算法[J].测绘科学,2006,31(2):27-29.
[10]官云兰,程效军,吕继生.有多余控制点的角锥体影像外方位元素解算[J].桂林工学院学报,2007,27(3):363-365.
[11]冯文灏.近景摄影测量[M].武汉:武汉大学出版社,2002.
[12]张一平,龚志辉,王勃.基于大倾角的角锥体空间后方交会研究[J].测绘科学,2012,21(2):17-20.
[13]张春森,张觅.依初值与无初值单位四元数空间后方交会的比较[J].测绘科学,2015,40(4):3-6,10.
[14]陈瑞,鲍红波,刘峰.基于C#混合编程的角锥体法空间后方交会实现[J].科技创新与生产力,2012(9):98-100.
[15]李加元,胡庆武,艾明耀.以重心坐标为基准的空间后方交会非迭代法[J],测绘学报,2015,44(9):988-994.
[16]李德仁,郑肇宝.解析摄影测量学[M].北京:测绘出版社,1992.