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基于C#的矩形域最小二乘曲面擬合,源代碼,可用于常規曲面擬合。

代碼片段和文件信息
using?System;
using?System.Collections.Generic;
using?System.Collections;
using?System.ComponentModel;
using?System.Data;
using?System.Drawing;
using?System.Linq;
using?System.Text;
using?System.Threading.Tasks;
using?System.Windows.Forms;
using?System.IO;
using?System.Windows.Forms.DataVisualization.Charting;
namespace?LSM
{
????public?partial?class?Form1?:?Form
????{
????????//矩形域為(ij)
????????Int32?n?=?0;//x個數
????????Int32?m?=?0;//y個數
????????Int32?p?=?0;//擬合多項式中x的最高次數+1,默認p=min{i20}
????????Int32?q?=?0;//擬合多項式中y的最高次數+1,默認q=min{j20}
????????ArrayList?listN?=?new?ArrayList();//減去平均值
????????ArrayList?listM?=?new?ArrayList();//減去平均值
????????ArrayList?listnM?=?new?ArrayList();//存放矩形域的x坐標
????????ArrayList?listmM?=?new?ArrayList();//存放矩形域的y坐標
????????
????????Dictionary?dicY?=?new?Dictionary();//存放相應的實際函數值其中鍵值表示m
????????Dictionary?dicYi?=?new?Dictionary();//存放相應的擬合函數值
????????Dictionary?btk?=?new?Dictionary();
????????Dictionary?btkprime?=?new?Dictionary();
????????Dictionary?ak?=?new?Dictionary();
????????Dictionary?akprime?=?new?Dictionary();
????????Dictionary?dk?=?new?Dictionary();
????????Dictionary?dkprime?=?new?Dictionary();
????????Dictionary?fik?=?new?Dictionary();
????????Dictionary?fikprime?=?new?Dictionary();
????????Dictionary?lmbdk?=?new?Dictionary();
????????Dictionary?lmbdkprime?=?new?Dictionary();//ukl
????????//定義系數
????????Dictionary>?xCoefficient?=?new?Dictionary>();//鍵值表示k,值表示各系數數組,長度為k+1
????????Dictionary>?yCoefficient?=?new?Dictionary>();
????????double[]?ultimateCoefficient;//存放最終系數
????????double[]?difference;//存放差值
????????double[]?error?=?new?double[3];//分別存放數據點誤差平方和,誤差絕對值之和以及誤差絕對值最大值
????????Dictionary?resultArray?=?new?Dictionary();//存放結果系數
????????Dictionary?errorArray?=?new?Dictionary();//存放誤差
????????Dictionary?location?=?new?Dictionary();//存放x及y的位置
????????public?Form1()
????????{
????????????InitializeComponent();
????????????comboBox1.Items.Add(“誤差平方和“);
????????????comboBox1.Items.Add(“絕對值之和“);
????????????comboBox1.Items.Add(“絕對值最大值“);
????????}
????????//item-k
????????//d-d
????????//list-listN
????????//a-a
????????//number-k
????????//bt-bt
????????private?void?GetA0(Int32?item?Dictionary?d?ArrayList?list?Dictionary?a?Int32?number?Dictionary?bt)
????????{
????????????double?d0?=?item;//i
????????????d
?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2018-03-25?16:17??LSM\
?????目錄???????????0??2018-03-25?16:17??LSM\LSM\
?????文件?????????189??2018-02-12?12:39??LSM\LSM\App.config
?????文件???????15389??2018-02-19?15:54??LSM\LSM\Form1.Designer.cs
?????文件???????28332??2018-02-19?17:29??LSM\LSM\Form1.cs
?????文件????????6384??2018-02-19?15:54??LSM\LSM\Form1.resx
?????文件????????3855??2018-02-19?09:35??LSM\LSM\LSM.csproj
?????文件?????????526??2018-02-12?12:39??LSM\LSM\Program.cs
?????目錄???????????0??2018-03-25?16:17??LSM\LSM\Properties\
?????文件????????1421??2018-02-14?15:26??LSM\LSM\Properties\AssemblyInfo.cs
?????文件????????2845??2018-02-14?15:26??LSM\LSM\Properties\Resources.Designer.cs
?????文件????????5612??2018-02-12?12:39??LSM\LSM\Properties\Resources.resx
?????文件????????1090??2018-02-14?16:21??LSM\LSM\Properties\Settings.Designer.cs
?????文件?????????249??2018-02-12?12:39??LSM\LSM\Properties\Settings.settings
?????目錄???????????0??2018-03-25?16:17??LSM\LSM\bin\
?????目錄???????????0??2018-03-25?16:17??LSM\LSM\bin\Debug\
?????文件???????25600??2018-02-20?08:38??LSM\LSM\bin\Debug\LSM.exe
?????文件?????????189??2018-02-12?12:39??LSM\LSM\bin\Debug\LSM.exe.config
?????文件???????44544??2018-02-20?08:38??LSM\LSM\bin\Debug\LSM.pdb
?????文件???????22984??2018-03-25?16:17??LSM\LSM\bin\Debug\LSM.vshost.exe
?????文件?????????189??2018-02-12?12:39??LSM\LSM\bin\Debug\LSM.vshost.exe.config
?????文件?????????490??2017-09-29?21:43??LSM\LSM\bin\Debug\LSM.vshost.exe.manifest
?????目錄???????????0??2018-03-25?16:17??LSM\LSM\obj\
?????目錄???????????0??2018-03-25?16:17??LSM\LSM\obj\Debug\
?????文件????????1493??2018-02-19?09:35??LSM\LSM\obj\Debug\DesignTimeResolveAssemblyReferences.cache
?????文件????????7122??2018-02-20?08:34??LSM\LSM\obj\Debug\DesignTimeResolveAssemblyReferencesInput.cache
?????文件?????????180??2018-02-20?08:38??LSM\LSM\obj\Debug\LSM.Form1.resources
?????文件?????????180??2018-02-20?08:38??LSM\LSM\obj\Debug\LSM.Properties.Resources.resources
?????文件????????2751??2018-03-25?16:17??LSM\LSM\obj\Debug\LSM.csproj.FileListAbsolute.txt
?????文件?????????975??2018-02-20?08:38??LSM\LSM\obj\Debug\LSM.csproj.GenerateResource.Cache
?????文件????????2406??2018-02-20?08:38??LSM\LSM\obj\Debug\LSM.csprojResolveAssemblyReference.cache
............此處省略8個文件信息
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