文档介绍：内蒙古科技大学
本科生毕业设计说明书(毕业论文)
题目:最小二乘曲线拟合及MATLAB实现
专业:测绘工程
班级:2009测绘2班
最小二乘曲线拟合及MATLAB实现
摘要
介绍曲线拟合的基本理论,对最小二乘原理进行了全方位的理论阐述,同时也阐述了曲线拟合的基本原理及多项式曲线拟合模型的建立。详细的解答了曲线拟合中的最小二乘法,并介绍了部分的正交最小二乘法理论。重点讲解多项式拟合的具体步骤,同时也介绍了非线性方程的最小二乘拟合,在建立理论的基础上对最小二乘曲线拟合法的MATLAB实现方法进行研究,利用MATLAB2012b的平台对测量数据进行最小二乘曲线拟合,介绍MATLAB的具体构造和曲线拟合工具。利用MATLAB中的ployfit函数对实测数据进行多项式曲线拟合,并给出曲线拟合MATLAB实现的源程序,给出拟合曲线,并评定拟合的精度证明该方法是行之有效的。
关键词:最小二乘法,曲线拟合,MATLAB,测量数据
Curve Fitting in Least-Square Method
and Its Realization with Matlab
Abstract
To introduce the basic theory of curve fitting and discuss the least squares principle in this paper, what’s more, we also discuss the basic principle of curve fitting and the establishment of polynomial curve fitting model. Meanwhile, we also introduce the least-square method of curve fitting in detail and part of the theory of orthogonal least square method. We mainly discuss the specific steps of polynomial fitting, and also introduces the nonlinear equation of the least squares fitting at the same time, which established on the theory of least squares curve fitting in MATLAB in order to realize the method to do research. Using MATLAB2012b platform to achieve the goal of measuring data and introducing the special structure of MATLAB and curve fitting tool. We can use ployfit function in MATLAB to polynomial curve fitting of experimental data, and get the MATLAB source program about curve fitting and the fitting curve. Finally, we need to prove the method of assessing the precision of the fitting is effective.
Key words: least square method; curve fitting; MATLAB, metrical data
最小二乘曲线拟合及MATLAB实现 I
摘要 I
CURVE FITTING IN LEAST-SQUARE METHOD AND ITS REALIZATION WITH MATLAB II
ABSTRACT II
第一章引言 1
1
历史理论原理 1
现代研究 1
问题定义 2
曲线拟合的思想 2
多项式拟合 3
利用Matlab的polyfit函数进行多项式拟合 3
论文结构 3
第二章数据曲线拟合 4
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