using?System;
using?System.Collections.Generic;
using?System.Linq;
using?System.Text;
using?System.Drawing;



namespace?曲線平滑
{
????public?static?class?BezierCurve
????{
????????public?static?PointF[]?GetBezierCurve（PointF[]?knots?float?scale）
????????{
????????????List?listPF_BezierCurve?=?new?List（）;
????????????PointF[]?firstControlPointFs;
????????????PointF[]?secondControlPointFs;
????????????PointF?temp_PointF;

????????????if?（scale?????????????{
????????????????throw?new?ArgumentNullException（“scale?不能為0或者負數“）;
????????????}
????????????
????????????
????
????????????
????????????//從節點得到貝澤爾函數的控制點
????????????BezierSpline.GetCurveControlPoints（knots?out?firstControlPointFs?out?secondControlPointFs）;
????????????
????????????
????????????//根據節點、控制點及貝澤爾方程，對曲線差值
????????????for?（int?i?=?0;?i?????????????{
????????????????float?d?=?Helper.CaculateDistance（knots[i]?knots[i?+?1]）;
????????????????int?insidePoints_number?=?（int）（d?/?scale）;
????????????????
????????????????//加入第i個節點
????????????????listPF_BezierCurve.Add（knots[i]）;
????????????????
????????????????//差值
????????????????for?（int?j?=?1;?j?????????????????{
????????????????????//?B（t）?=?（1-t）^3?P0?+?3（1-t）^2?t?P1?+?3（1-t）t^2?P2?+?t^3?P3??
????????????????????PointF?p0?p1?p2?p3;
????????????????????PointF?inside_p?=?new?PointF（）;
????????????????????p0?=?knots[i];
????????????????????p3?=?knots[i?+?1];
????????????????????p1?=?firstControlPointFs[i];
????????????????????p2?=?secondControlPointFs[i];
???????????????????
????????????????????float?t;
????????????????????t?=??（float）j/insidePoints_number?;
????????????????????inside_p.X?=?（float）Math.Pow（（1?-?t）??3f）?*?p0.X?+?
????????????????????????3f?*?（float）Math.Pow（（1?-?t）2f）?*?t?*?p1.X?+?
????????????????????????3f?*?（1?-?t）?*?（float）Math.Pow（t??2f）?*?p2.X?+?
????????????????????????（float）Math.Pow（t??3f）?*?p3.X;
????????????????????inside_p.Y?=?（float）Math.Pow（（1?-?t）?3f）?*?p0.Y?+
????????????????????????3f?*?（float）Math.Pow（（1?-?t）?2f）?*?t?*?p1.Y?+
????????????????????????3f?*?（1?-?t）?*?（float）Math.Pow（t?2f）?*?p2.Y?+
????????????????????????（float）Math.Pow（t?3f）?*?p3.Y;

????????????????????//加入插值點
????????????????????listPF_BezierCurve.Add（inside_p）;
????????????????}
????????????????
????????????}
????????????//加入最后的節點
????????????listPF_BezierCurve.Add（knots[knots.Length-1]）;
????????????return?listPF_BezierCurve.ToArray（）;
????????}

???????
????
????}
}

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????文件???????2719??2011-11-24?19:14??曲線平滑?-?blog用\曲線平滑\BezierCurve.cs

?????文件???????4813??2011-11-22?16:16??曲線平滑?-?blog用\曲線平滑\BezierSpline.cs

?????文件??????13312??2011-11-24?19:34??曲線平滑?-?blog用\曲線平滑\bin\Debug\曲線平滑.exe

?????文件??????36352??2011-11-24?19:34??曲線平滑?-?blog用\曲線平滑\bin\Debug\曲線平滑.pdb

?????文件??????14328??2011-11-24?19:36??曲線平滑?-?blog用\曲線平滑\bin\Debug\曲線平滑.vshost.exe

?????文件????????490??2009-06-11?05:14??曲線平滑?-?blog用\曲線平滑\bin\Debug\曲線平滑.vshost.exe.manifest

?????文件???????3763??2011-11-24?19:34??曲線平滑?-?blog用\曲線平滑\Form1.cs

?????文件???????5316??2011-11-22?20:00??曲線平滑?-?blog用\曲線平滑\Form1.Designer.cs

?????文件???????5814??2011-11-22?20:00??曲線平滑?-?blog用\曲線平滑\Form1.resx

?????文件???????1017??2011-11-24?19:31??曲線平滑?-?blog用\曲線平滑\Helper.cs

?????文件???????2911??2011-11-22?22:19??曲線平滑?-?blog用\曲線平滑\obj\Debug\ResolveAssemblyReference.cache

?????文件???????1422??2011-11-24?19:36??曲線平滑?-?blog用\曲線平滑\obj\Debug\曲線平滑.csproj.FileListAbsolute.txt

?????文件????????847??2011-11-22?20:00??曲線平滑?-?blog用\曲線平滑\obj\Debug\曲線平滑.csproj.GenerateResource.Cache

?????文件??????13312??2011-11-24?19:34??曲線平滑?-?blog用\曲線平滑\obj\Debug\曲線平滑.exe

?????文件????????180??2011-11-24?19:14??曲線平滑?-?blog用\曲線平滑\obj\Debug\曲線平滑.Form1.resources

?????文件??????36352??2011-11-24?19:34??曲線平滑?-?blog用\曲線平滑\obj\Debug\曲線平滑.pdb

?????文件????????180??2011-11-24?19:14??曲線平滑?-?blog用\曲線平滑\obj\Debug\曲線平滑.Properties.Resources.resources

?????文件????????493??2011-11-22?14:49??曲線平滑?-?blog用\曲線平滑\Program.cs

?????文件???????1356??2011-11-22?14:49??曲線平滑?-?blog用\曲線平滑\Properties\AssemblyInfo.cs

?????文件???????2874??2011-11-22?14:49??曲線平滑?-?blog用\曲線平滑\Properties\Resources.Designer.cs

?????文件???????5612??2011-11-22?14:49??曲線平滑?-?blog用\曲線平滑\Properties\Resources.resx

?????文件???????1097??2011-11-22?14:49??曲線平滑?-?blog用\曲線平滑\Properties\Settings.Designer.cs

?????文件????????249??2011-11-22?14:49??曲線平滑?-?blog用\曲線平滑\Properties\Settings.settings

?????文件???????3857??2011-11-24?15:56??曲線平滑?-?blog用\曲線平滑\曲線平滑.csproj

?????文件????????926??2011-11-22?14:50??曲線平滑?-?blog用\曲線平滑.sln

????..A..H.?????20992??2011-11-24?19:49??曲線平滑?-?blog用\曲線平滑.suo

?????目錄??????????0??2011-11-22?16:56??曲線平滑?-?blog用\曲線平滑\obj\Debug\Refactor

?????目錄??????????0??2011-11-22?14:49??曲線平滑?-?blog用\曲線平滑\obj\Debug\TempPE

?????目錄??????????0??2011-11-24?10:58??曲線平滑?-?blog用\曲線平滑\bin\Debug

?????目錄??????????0??2011-11-24?19:34??曲線平滑?-?blog用\曲線平滑\obj\Debug

............此處省略8個文件信息