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c# 二维图形绘制实践

作者：Gausst松鼠会 | 2024-06-17 01:13:18

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c# 二维图形绘制实践

1.等边三角形

1.1 概述

1.2 代码

  1. using System;
  2. using System.Drawing;
  3. using System.Windows.Forms;
  4.  
  5. public partial class TriangleForm : Form
  6. {
  7.     public TriangleForm()
  8.     {
  9.         //InitializeComponent();
  10.         // 确保窗体大小足够大，以容纳三角形  
  11.         this.ClientSize = new Size(300, 300);
  12.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
  13.     }
  14.  
  15.     protected override void OnPaint(PaintEventArgs e)
  16.     {
  17.         base.OnPaint(e);
  18.  
  19.         // 定义三角形的大小和位置  
  20.         int sideLength = 100; // 等边三角形外接圆的半径
  21.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
  22.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
  23.  
  24.         // 将30度转换为弧度  
  25.         double degrees = 30;
  26.         double radians = Math.PI * degrees / 180;
  27.         double sinValue = Math.Sin(radians);
  28.         double cosValue = Math.Cos(radians);
  29.  
  30.         float sinLen = (float)sinValue * sideLength;
  31.         float cosLen = (float)cosValue * sideLength;
  32.         // 计算三角形顶点的位置  
  33.         PointF topVertex = new PointF(centerX, centerY - sideLength );
  34.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
  35.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
  36.  
  37.         // 创建一个Brush对象来填充三角形  
  38.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
  39.         {
  40.             // 绘制等边三角形  
  41.             e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
  42.  
  43.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
  44.             using (Pen pen = new Pen(Color.Black, 2))
  45.             {
  46.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, leftVertex, rightVertex });
  47.             }
  48.         }
  49.     }
  50.     [STAThread]
  51.     static void Main()
  52.     {
  53.         Application.EnableVisualStyles();
  54.         Application.SetCompatibleTextRenderingDefault(false);
  55.         Application.Run(new TriangleForm());
  56.     }
  57. }

1.3 运行结果

2 立方体

2.1 概要

立方体是用等边三角型的图转换过来的

2.2 代码

  1. using System;
  2. using System.Drawing;
  3. using System.Windows.Forms;
  4.  
  5. public partial class TriangleForm : Form
  6. {
  7.     public TriangleForm()
  8.     {
  9.         //InitializeComponent();
  10.         // 确保窗体大小足够大，以容纳三角形  
  11.         this.ClientSize = new Size(300, 300);
  12.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
  13.     }
  14.  
  15.     protected override void OnPaint(PaintEventArgs e)
  16.     {
  17.         base.OnPaint(e);
  18.  
  19.         // 定义三角形的大小和位置  
  20.         int sideLength = 100; // 等边三角形的边长  
  21.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
  22.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
  23.  
  24.         // 将30度转换为弧度  
  25.         double degrees = 30;
  26.         double radians = Math.PI * degrees / 180;
  27.         double sinValue = Math.Sin(radians);
  28.         double cosValue = Math.Cos(radians);
  29.  
  30.         float sinLen = (float)sinValue * sideLength;
  31.         float cosLen = (float)cosValue * sideLength;
  32.         //中心点
  33.         PointF topVertex_center = new PointF(centerX, centerY);
  34.         // 计算三角形顶点的位置  
  35.         PointF topVertex = new PointF(centerX, centerY - cosLen);
  36.         PointF topVertex_left = new PointF(centerX - cosLen, centerY - cosLen + sinLen);
  37.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
  38.         PointF topVertex_buttom = new PointF(centerX, centerY + sinLen*2);
  39.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
  40.  
  41.         PointF topVertex_right = new PointF(centerX + cosLen, centerY - cosLen + sinLen);
  42.  
  43.         // 创建一个Brush对象来填充三角形  
  44.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
  45.         {
  46.             // 绘制等边三角形  
  47.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
  48.  
  49.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
  50.             using (Pen pen = new Pen(Color.Black, 2))
  51.             {
  52.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, topVertex_left, leftVertex, topVertex_buttom, rightVertex, topVertex_right });
  53.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_left });
  54.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_right });
  55.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_buttom });
  56.             }
  57.         }
  58.     }
  59.     [STAThread]
  60.     static void Main()
  61.     {
  62.         Application.EnableVisualStyles();
  63.         Application.SetCompatibleTextRenderingDefault(false);
  64.         Application.Run(new TriangleForm());
  65.     }
  66. }

2.3 运行结果

 

3 立方体透视图

3.1 概要

透视图是用前面的立方体，去移动顶点演化出来的

3.2 代码

  1. using System;
  2. using System.Drawing;
  3. using System.Net;
  4. using System.Windows.Forms;
  5.  
  6. public partial class TriangleForm : Form
  7. {
  8.     public TriangleForm()
  9.     {
  10.         //InitializeComponent();
  11.         // 确保窗体大小足够大，以容纳三角形  
  12.         this.ClientSize = new Size(300, 300);
  13.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
  14.     }
  15.  
  16.     protected override void OnPaint(PaintEventArgs e)
  17.     {
  18.         base.OnPaint(e);
  19.  
  20.         // 定义三角形的大小和位置  
  21.         int sideLength = 100; // 等边三角形的边长  
  22.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
  23.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
  24.  
  25.         // 将30度转换为弧度  
  26.         double degrees = 30;
  27.         double radians = Math.PI * degrees / 180;
  28.         double sinValue = Math.Sin(radians);
  29.         double cosValue = Math.Cos(radians);
  30.  
  31.         float sinLen = (float)sinValue * sideLength;
  32.         float cosLen = (float)cosValue * sideLength;
  33.         float y_yi = 20;
  34.         float x_yi = 10;
  35.         //中心点
  36.         PointF topVertex_center = new PointF(centerX+ x_yi, centerY- y_yi);
  37.         PointF topVertex_center_hou = new PointF(centerX - x_yi, centerY + y_yi);
  38.  
  39.         // 计算三角形顶点的位置  
  40.         PointF topVertex = new PointF(centerX- x_yi, centerY - cosLen+ y_yi);
  41.         PointF topVertex_left = new PointF(centerX - cosLen, centerY - cosLen + sinLen);
  42.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
  43.         PointF topVertex_buttom = new PointF(centerX+ x_yi, centerY + sinLen*2- y_yi);
  44.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
  45.  
  46.         PointF topVertex_right = new PointF(centerX + cosLen, centerY - cosLen + sinLen);
  47.  
  48.         // 创建一个Brush对象来填充三角形  
  49.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
  50.         {
  51.             // 绘制等边三角形  
  52.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
  53.  
  54.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
  55.             using (Pen pen = new Pen(Color.Black, 2))
  56.             {
  57.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, topVertex_left, leftVertex, topVertex_buttom, rightVertex, topVertex_right });
  58.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_left });
  59.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_right });
  60.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_buttom });
  61.             }
  62.  
  63.             float[] dashValues = { 50, 5 }; // 虚线由5个像素的实线和5个像素的空白组成  
  64.             Pen dashedPen = new Pen(Color.Black, 1);
  65.             e.Graphics.DrawLine(dashedPen, topVertex_center_hou, leftVertex);
  66.             e.Graphics.DrawLine(dashedPen, topVertex_center_hou, rightVertex);
  67.             e.Graphics.DrawLine(dashedPen, topVertex_center_hou, topVertex);
  68.         }
  69.     }
  70.     [STAThread]
  71.     static void Main()
  72.     {
  73.         Application.EnableVisualStyles();
  74.         Application.SetCompatibleTextRenderingDefault(false);
  75.         Application.Run(new TriangleForm());
  76.     }
  77. }

3.3 运行结果

4.等边三角形的内切圆和外接圆

4.1 概要

4.2 代码

  1. using System;
  2. using System.Drawing;
  3. using System.Net;
  4. using System.Windows.Forms;
  5.  
  6. public partial class TriangleForm : Form
  7. {
  8.     public TriangleForm()
  9.     {
  10.         //InitializeComponent();
  11.         // 确保窗体大小足够大，以容纳三角形  
  12.         this.ClientSize = new Size(300, 300);
  13.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
  14.     }
  15.  
  16.     protected override void OnPaint(PaintEventArgs e)
  17.     {
  18.         base.OnPaint(e);
  19.  
  20.         // 定义三角形的大小和位置  
  21.         int sideLength = 100; // 内接圆半径
  22.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
  23.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
  24.  
  25.         // 将30度转换为弧度  
  26.         double degrees = 30;
  27.         double radians = Math.PI * degrees / 180;
  28.         double sinValue = Math.Sin(radians);
  29.         double cosValue = Math.Cos(radians);
  30.  
  31.         float sinLen = (float)sinValue * sideLength;
  32.         float cosLen = (float)cosValue * sideLength;
  33.  
  34.         // 计算三角形顶点的位置  
  35.         PointF topVertex = new PointF(centerX, centerY - sideLength);
  36.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
  37.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
  38.  
  39.         // 设置圆形的边界矩形（位置和大小）  
  40.         Rectangle rect = new Rectangle(centerX- (int)sinLen, centerY- (int)sinLen, (int)(sinLen*2), (int)(sinLen*2)); // x=50, y=50, 宽度=100, 高度=100
  41.         Rectangle rect2 = new Rectangle(centerX - (int)sideLength, centerY - (int)sideLength, sideLength*2, sideLength*2); // x=50, y=50, 宽度=100, 高度=100
  42.  
  43.         // 创建一个Brush对象来填充三角形  
  44.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
  45.         {
  46.             // 绘制等边三角形  
  47.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
  48.  
  49.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
  50.             using (Pen pen = new Pen(Color.Black, 2))
  51.             {
  52.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex,  leftVertex, rightVertex, });
  53.  
  54.                 e.Graphics.DrawEllipse(pen, rect2);
  55.                 e.Graphics.DrawEllipse(pen, rect);
  56.             }
  57.         }
  58.     }
  59.     [STAThread]
  60.     static void Main()
  61.     {
  62.         Application.EnableVisualStyles();
  63.         Application.SetCompatibleTextRenderingDefault(false);
  64.         Application.Run(new TriangleForm());
  65.     }
  66. }

4.3 运行结果

5.直角三角形的内接圆

5.1 概要

5.2 代码

  1. using System;
  2. using System.Drawing;
  3. using System.Net;
  4. using System.Windows.Forms;
  5.  
  6. public partial class TriangleForm : Form
  7. {
  8.     public TriangleForm()
  9.     {
  10.         //InitializeComponent();
  11.         // 确保窗体大小足够大，以容纳三角形  
  12.         this.ClientSize = new Size(300, 300);
  13.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
  14.     }
  15.  
  16.     protected override void OnPaint(PaintEventArgs e)
  17.     {
  18.         base.OnPaint(e);
  19.  
  20.         // 定义三角形的大小和位置  
  21.         int sideLength = 50; // 内接圆半径
  22.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
  23.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
  24.  
  25.         // 将30度转换为弧度  
  26.         double degrees = 22.5;
  27.         double radians = Math.PI * degrees / 180;
  28.         double sinValue = Math.Sin(radians);
  29.         double cosValue = Math.Cos(radians);
  30.         double tanValue = Math.Tan(radians);
  31.  
  32.         float sinLen = (float)sinValue * sideLength;
  33.         float cosLen = (float)cosValue * sideLength;
  34.         float tanLen = (float)(sideLength/ tanValue);
  35.  
  36.         // 计算三角形顶点的位置  
  37.         PointF topVertex = new PointF(centerX+ sideLength, centerY - tanLen);
  38.         PointF leftVertex = new PointF(centerX - tanLen, centerY + sideLength);
  39.         PointF rightVertex = new PointF(centerX + sideLength, centerY + sideLength);
  40.  
  41.         // 设置圆形的边界矩形（位置和大小）  
  42.         //Rectangle rect = new Rectangle(centerX - (int)sinLen, centerY - (int)sinLen, (int)(sinLen * 2), (int)(sinLen * 2)); // x=50, y=50, 宽度=100, 高度=100
  43.         Rectangle rect2 = new Rectangle(centerX - (int)sideLength, centerY - (int)sideLength, sideLength * 2, sideLength * 2); // x=50, y=50, 宽度=100, 高度=100
  44.  
  45.         // 创建一个Brush对象来填充三角形  
  46.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
  47.         {
  48.             // 绘制等边三角形  
  49.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
  50.  
  51.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
  52.             using (Pen pen = new Pen(Color.Black, 2))
  53.             {
  54.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, leftVertex, rightVertex, });
  55.  
  56.                 e.Graphics.DrawEllipse(pen, rect2);
  57.                 //e.Graphics.DrawEllipse(pen, rect);
  58.             }
  59.         }
  60.     }
  61.     [STAThread]
  62.     static void Main()
  63.     {
  64.         Application.EnableVisualStyles();
  65.         Application.SetCompatibleTextRenderingDefault(false);
  66.         Application.Run(new TriangleForm());
  67.     }
  68. }

5.3 运行结果

 

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