全最小二乘和全加权最小一乘准则下的空间直线拟合  

SPACE FITTING LINE WITH CRITERIA OF TOTAL LEAST SQUARE AND TOTAL WEIGHTED LEAST ABSOLUTE DEVIATION

作　　者：曹慧荣[1] 王福昌[2] 

机构地区：[1]廊坊师范学院数信学院,河北廊坊065000 [2]中国地震局防灾科技学院,河北三河065201

出　　处：《计算机应用与软件》2010年第9期111-112,127,共3页Computer Applications and Software

基　　金：河北省教育厅自然科学研究项目(Z2009138);中国地震局教师科研基金(20090126)

摘　　要：讨论空间直线拟合问题,在使得点到空间直线距离平方和最小准则下,给出一种基于主成分分析的直线拟合方法,并且在使得空间点到直线加权距离和最小准则下,给出了拟合直线的优化方法。算法简单,在计算机上实现方便。最后,数值仿真验证了算法的有效性,并讨论了空间中圆周拟合问题。The space line fitting issue is discussed. A line fitting method based on principal component analysis is presented with the crite- rion of minimizing the sum of the squared deviations of the line distances between points and space, and an optimization approach for fitting line is proposed with the criterion of minimizing the sum of weighted distances betweenspace points and lines. These algorithms are succinct and easy to be realised in computer. Numerical simulations has attested their effectiveness. The fitting of space circumference is also discussed.

关 键 词：空间直线拟合 全最小二乘 全加权最小一乘 主成分分析 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]