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三维任意旋转角度坐标转换的整体最小二乘回归解法
引用本文:许超钤,姚宜斌,熊思婷,熊绍龙.三维任意旋转角度坐标转换的整体最小二乘回归解法[J].测绘信息与工程,2010,35(5):46-48.
作者姓名:许超钤  姚宜斌  熊思婷  熊绍龙
作者单位:武汉大学测绘学院,武汉市珞喻路129号,430079
基金项目:武汉大学国家大学生创新实验资助项目
摘    要:提出了一种简单适用于任意旋转角的三维空间直角坐标转换模型,采用了最小二乘和整体最小二乘回归进行解算,实例验证了模型的准确性。

关 键 词:整体最小二乘回归  坐标转换  任意旋转角  空间直角坐标

3D RECTANGULAR COORDINATE TRANSFORMATION ADAPTED TO ARBITRARY ROTATION ANGLE BASED ON TOTAL LEAST-SQUARES REGRESSION
XU Chaoqian,YAO Yibin,XIONG Siting,XIONG Shaolong.3D RECTANGULAR COORDINATE TRANSFORMATION ADAPTED TO ARBITRARY ROTATION ANGLE BASED ON TOTAL LEAST-SQUARES REGRESSION[J].Journal of Geomatics,2010,35(5):46-48.
Authors:XU Chaoqian  YAO Yibin  XIONG Siting  XIONG Shaolong
Institution:(School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China)
Abstract:We propose a simple model for solving 3D rectangular coordination transformation adapted to arbitrary rotation,and give the method based on total least-squares and least-squares to solve this model.A simulation example proves the validity of the model,and different results between total least-squares and least-squares are analyzed.
Keywords:total least-squares  coordinate transformation  arbitrary rotation angle  3D rectangular coordination
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