直线拟合算法作者：许海涛 高彩霞来源：《电脑知识与技术》2009年第04期 拟合直线
摘要：不管是平面直线拟合，还是空间直线拟合，直线拟合的应用范围都很广泛。文章对两种不同维度的直线拟合算法进行了综合介绍。其中空间直线拟合根据最佳平方逼近原理和最速下降法以及所给离散点的均值求得，并通过试验验证了此算法运算结果的正确性。该算法因为同时考虑了x、y、z不同方向的误差，所以准确度较高；同时因为采用了最速下降法，所以精确度可以任取，运算速度较快。 关键词：空间直线；平面直线；拟合
中图分类号：TP312文献标识码：A文章编号：1009-3044(2009)04-0864-04
The Linear Fitting Algorithm
XU Hai-tao, GAO Cai-xia
(China University of Mining & Technology, Beijing 100083, China)
Abstract: No matter the fitting of plane linear or space linear, the application area of linear fitting is very widely.The paper will comprehensively introduction these two different dimension linear fitting. On the basis of the principle of the least-squares approximation and steepest descent method and the average of the given discrete points, the space linear fitting can obtained, at the same time through a test proved the algorithm is correct. Because the algorithm simultaneously considered the errors of x, y, z direction ,so it has the high degree of accuracy ; meanwhile the algorithm adopted steepest descent method, so its precision can arbitrary get and the speed of calculation is faster.
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