AR创意分享：儿童涂鸦遇上程序绘图_.NET_编程开发_程序员俱乐部

第一节 临摹

　　小明经常临摹同桌小美的画作。

　　美术课上，老师表扬了小美的新作。

图1.1 小美的作品《蒙娜·毛虫的微笑》

　　临，是照着原作画；摹，是用薄纸张蒙在原作上面画。

第二节 借画

　　小明随后借来了小美的画。

　　但他觉得这样摹着画甚是无趣。

图2.1 未完成的临摹

　　一般地，临摹耐心与纸张透明度成正比。

第三节 涂鸦

　　小明认为这只毛虫太孤单了。

　　然后，他的涂鸦怪兽就蹦了出来。

图3.1 《蒙娜·毛虫与她的怪兽》

　　涂鸦，随意地涂抹色彩与线条。

第四节 黑白

　　小美的哥哥和小明是好朋友，他叫大美。

　　大美有个AR程序，它可以计算图像的黑与白。

图4.1 黑白版《蒙娜·毛虫的微笑》

 

　　黑白阈值划分可以基于RGB颜色空间也可以基于HSV颜色空间。

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Public Class ImageProcessClass
    ''' <summary> 
    ''' 基于RGB根据指定阈值判断两个颜色是否相近
    ''' </summary> 
    Public Function CompareRGB(ByVal Color1 As Color, ByVal Color2 As Color, ByVal Distance As Single) As Boolean
        Dim r As Integer = Int(Color1.R) - Int(Color2.R)
        Dim g As Integer = Int(Color1.G) - Int(Color2.G)
        Dim b As Integer = Int(Color1.B) - Int(Color2.B)
        Dim absDis As Integer = Math.Sqrt(r * r + g * g + b * b)
        If absDis < Distance Then
            Return True
        Else
            Return False
        End If
    End Function
    ''' <summary> 
    ''' 基于HSB根据指定阈值判断两个颜色是否相近
    ''' </summary> 
    Public Function CompareHSB(ByVal Color1 As Color, ByVal Color2 As Color, ByVal Distance As Single) As Boolean
        'Dim h As Single = (Color1.GetHue - Color2.GetHue) / 360
        'Dim s As Single = Color1.GetSaturation - Color2.GetSaturation
        'Dim b As Single = Color1.GetBrightness - Color2.GetBrightness
        'Dim absDis As Single = Math.Sqrt(h * h + s * s + b * b)
        'If absDis < Distance Then
        '    Return True
        'Else
        '    Return False
        'End If
        Dim h1 As Single = Color1.GetHue / 360
        Dim s1 As Single = Color1.GetSaturation
        Dim b1 As Single = Color1.GetBrightness
        Dim h2 As Single = Color2.GetHue / 360
        Dim s2 As Single = Color2.GetSaturation
        Dim b2 As Single = Color2.GetBrightness
        Dim absDis As Single = (h1 * h2 + s1 * s2 + b1 * b2) / (Math.Sqrt(h1 * h1 + s1 * s1 + b1 * b1) * Math.Sqrt(h2 * h2 + s2 * s2 + b2 * b2))
        If absDis > Distance / 5 + 0.8 Then
            Return True
        Else
            Return False
        End If
    End Function
    ''' <summary> 
    ''' 返回指定颜色的中值
    ''' </summary> 
    Public Function gethHD(ByVal color1 As Color)
        Dim HD, r, g, b As Integer
        r = color1.R
        g = color1.G
        b = color1.B
        HD = (r + g + b) / 3
        Return HD
    End Function
    ''' <summary>
    ''' 返回指定位图的颜色数组
    ''' </summary>
    ''' <param name="gBitmap"></param>
    ''' <returns></returns>
    Public Function GetColorArr(ByRef gBitmap As Bitmap) As Color(,)
        Dim TempArr(gBitmap.Width - 1, gBitmap.Height - 1) As Color
        For i = 0 To gBitmap.Width - 1
            For j = 0 To gBitmap.Height - 1
                TempArr(i, j) = gBitmap.GetPixel(i, j)
            Next
        Next
        Return TempArr
    End Function
    ''' <summary>
    ''' 返回指定区域的屏幕图像
    ''' </summary>
    ''' <param name="gX"></param>
    ''' <param name="gY"></param>
    ''' <param name="gWidth"></param>
    ''' <param name="gHeight"></param>
    ''' <returns></returns>
    Public Function GetScreenImage(ByVal gX As Integer, ByVal gY As Integer, ByVal gWidth As Integer, ByVal gHeight As Integer) As Bitmap
        Dim ResultBitmap As New Bitmap(gWidth, gHeight)
        Using pg As Graphics = Graphics.FromImage(ResultBitmap)
            pg.CopyFromScreen(gX, gY, 0, 0, New Size(gWidth, gHeight))
        End Using
        Return ResultBitmap
    End Function
    ''' <summary>
    ''' 返回指定文字生成的位图
    ''' </summary>
    ''' <param name="gString"></param>
    ''' <param name="gFont"></param>
    ''' <param name="gWidth"></param>
    ''' <param name="gHeight"></param>
    ''' <returns></returns>
    Public Function GetTextImage(ByVal gString As String, ByVal gFont As Font, ByVal gWidth As Integer, ByVal gHeight As Integer) As Bitmap
        Dim ResultBitmap As New Bitmap(gWidth, gHeight)
        Using pg = Graphics.FromImage(ResultBitmap)
            pg.SmoothingMode = Drawing2D.SmoothingMode.AntiAlias '抗锯齿
            pg.DrawString(gString, gFont, Brushes.Black, 0, 0)
        End Using
        Return ResultBitmap
    End Function
    ''' <summary>
    ''' 返回指定图位图的二值化图像
    ''' </summary>
    ''' <param name="gBitmap"></param>
    ''' <param name="gSplitNum"></param>
    ''' <returns></returns>
    Public Function GetThresholdImage(ByVal gBitmap As Bitmap, ByVal gSplitNum As Single, Optional IsHSB As Boolean = False) As Bitmap
        Dim ResultBitmap As New Bitmap(gBitmap.Width, gBitmap.Height)
        Dim ColorArr(,) = GetColorArr(gBitmap)
        Dim TempHD As Integer
        Dim IsOverThreshold = Function(ByVal C1 As Color, ByVal gNum As Single)
                                  TempHD = gethHD(C1)
                                  Return (If(IsHSB, (C1.GetHue / 360 + C1.GetSaturation + C1.GetBrightness) / 3 < gNum,
                                  TempHD < gNum))
                              End Function
        For i = 0 To gBitmap.Width - 1
            For j = 0 To gBitmap.Height - 1
                ResultBitmap.SetPixel(i, j, If(IsOverThreshold(ColorArr(i, j), gSplitNum), Color.Black, Color.White))
            Next
        Next

        Return ResultBitmap
    End Function
    ''' <summary>
    ''' 返回指定位图的轮廓图像
    ''' </summary>
    ''' <param name="gBitmap"></param>
    ''' <param name="gDistance"></param>
    ''' <returns></returns>
    Public Function GetOutLineImage(ByVal gBitmap As Bitmap, ByVal gDistance As Single, Optional IsHSB As Boolean = False) As Bitmap
        Dim xArray2() As Short = {0, 1, 0, -1}
        Dim yArray2() As Short = {-1, 0, 1, 0}
        'Dim ResultBitmap As New Bitmap(gBitmap) '在原图的基础上绘图
        Dim ResultBitmap As New Bitmap(gBitmap.Width, gBitmap.Height)
        Dim Color1, Color2 As Color
        Dim CompareColor = Function(ByVal C1 As Color, ByVal C2 As Color, ByVal Distance As Single)
                               Return If(IsHSB,
                               CompareHSB(Color1, Color2, Distance),
                               CompareRGB(Color1, Color2, Distance))
                           End Function
        Dim CompareColorExtra = Function(ByVal C1 As Color, ByVal C2 As Color)
                                    Return If(IsHSB,
                                    Color1.GetBrightness - Color2.GetBrightness > 0,
                                    gethHD(Color1) - gethHD(Color2) > 0)
                                End Function
        Dim ColorArr(,) = GetColorArr(gBitmap)
        For i = 1 To gBitmap.Width - 2
            For j = 1 To gBitmap.Height - 2
                ResultBitmap.SetPixel(i, j, Color.White)
                Color1 = ColorArr(i, j)
                For p = 0 To 3
                    Color2 = ColorArr(i + xArray2(p), j + yArray2(p))
                    If Not CompareColor(Color1, Color2, gDistance) And CompareColorExtra(Color1, Color2) Then
                        ResultBitmap.SetPixel(i, j, Color.Black)
                        ' ResultBitmap.SetPixel(i, j, ColorArr(i, j))
                    End If
                Next
            Next
        Next
        Return ResultBitmap
    End Function
    ''' <summary>
    ''' 返回指定位图的空心图像
    ''' </summary>
    ''' <param name="gBitmap"></param>
    ''' <returns></returns>
    Public Function GetAroundImage(gBitmap As Bitmap)
        Dim ResultBitmap As New Bitmap(gBitmap.Width, gBitmap.Height)
        Dim ImageBolArr(,) As Integer = GetImageBol(gBitmap)
        For i = 0 To gBitmap.Width - 1
            For j = 0 To gBitmap.Height - 1
                If ImageBolArr(i, j) = 1 AndAlso CheckPointAround(ImageBolArr, i, j) = False Then
                    ResultBitmap.SetPixel(i, j, Color.Black)
                Else
                    ResultBitmap.SetPixel(i, j, Color.White)
                End If
            Next
        Next
        Return ResultBitmap
    End Function
    ''' <summary>
    ''' 返回指定位图的反相图像
    ''' </summary>
    ''' <param name="gBitmap"></param>
    ''' <returns></returns>
    Public Function GetInvertImage(gBitmap As Bitmap)
        Dim ResultBitmap As New Bitmap(gBitmap.Width, gBitmap.Height)
        Dim ImageBolArr(,) As Integer = GetImageBol(gBitmap)
        For i = 0 To gBitmap.Width - 1
            For j = 0 To gBitmap.Height - 1
                If ImageBolArr(i, j) = 1 Then
                    ResultBitmap.SetPixel(i, j, Color.White)
                Else
                    ResultBitmap.SetPixel(i, j, Color.Black)
                End If
            Next
        Next
        Return ResultBitmap
    End Function
    ''' <summary>
    ''' 返回指定位图的色块图像
    ''' </summary>
    ''' <param name="gBitmap"></param>
    ''' <returns></returns>
    Public Function GetLumpImage(gBitmap As Bitmap, Optional Range As Integer = 10)
        Dim ResultBitmap As New Bitmap(gBitmap.Width, gBitmap.Height)
        Dim ColorArr(,) = GetColorArr(gBitmap)
        Dim R, G, B As Integer
        For i = 0 To gBitmap.Width - 1
            For j = 0 To gBitmap.Height - 1
                R = Int(ColorArr(i, j).R / Range) * Range
                G = Int(ColorArr(i, j).G / Range) * Range
                B = Int(ColorArr(i, j).B / Range) * Range
                ResultBitmap.SetPixel(i, j, Color.FromArgb(R, G, B))
            Next
        Next
        Return ResultBitmap
    End Function
    ''' <summary>
    ''' 返回指定位图的二值化数据
    ''' </summary>
    ''' <param name="gBitmap"></param>
    ''' <returns></returns>
    Private Function GetImageBol(ByVal gBitmap As Bitmap) As Integer(,)
        Dim ResultArr(gBitmap.Width - 1, gBitmap.Height - 1) As Integer
        For i = 0 To gBitmap.Width - 1
            For j = 0 To gBitmap.Height - 1
                If Not gBitmap.GetPixel(i, j).Equals(Color.FromArgb(255, 255, 255)) Then
                    ResultArr(i, j) = 1
                Else
                    ResultArr(i, j) = 0
                End If
            Next
        Next
        Return ResultArr
    End Function
    ''' <summary>
    ''' 检查一个点是否被包围
    ''' </summary>
    ''' <param name="BolArr"></param>
    ''' <param name="x"></param>
    ''' <param name="y"></param>
    ''' <returns></returns>
    Private Function CheckPointAround(BolArr As Integer(,), ByVal x As Integer, ByVal y As Integer) As Boolean
        If Not (x > 0 And y > 0 And x < BolArr.GetUpperBound(0) And y < BolArr.GetUpperBound(1)) Then Return True
        If BolArr(x - 1, y) = 1 And BolArr(x + 1, y) = 1 And BolArr(x, y - 1) = 1 And BolArr(x, y + 1) = 1 Then
            Return True '当前点为实体内部
        Else
            Return False '当前点为实体边缘
        End If
    End Function
End Class

VB.NET

using Microsoft.VisualBasic;
using System;
using System.Collections;
using System.Collections.Generic;
using System.Data;
using System.Diagnostics;
public class ImageProcessClass
{
    /// <summary> 
    /// 基于RGB根据指定阈值判断两个颜色是否相近
    /// </summary> 
    public bool CompareRGB(Color Color1, Color Color2, float Distance)
    {
        int r = Conversion.Int(Color1.R) - Conversion.Int(Color2.R);
        int g = Conversion.Int(Color1.G) - Conversion.Int(Color2.G);
        int b = Conversion.Int(Color1.B) - Conversion.Int(Color2.B);
        int absDis = Math.Sqrt(r * r + g * g + b * b);
        if (absDis < Distance) {
            return true;
        } else {
            return false;
        }
    }
    /// <summary> 
    /// 基于HSB根据指定阈值判断两个颜色是否相近
    /// </summary> 
    public bool CompareHSB(Color Color1, Color Color2, float Distance)
    {
        //Dim h As Single = (Color1.GetHue - Color2.GetHue) / 360
        //Dim s As Single = Color1.GetSaturation - Color2.GetSaturation
        //Dim b As Single = Color1.GetBrightness - Color2.GetBrightness
        //Dim absDis As Single = Math.Sqrt(h * h + s * s + b * b)
        //If absDis < Distance Then
        //    Return True
        //Else
        //    Return False
        //End If
        float h1 = Color1.GetHue / 360;
        float s1 = Color1.GetSaturation;
        float b1 = Color1.GetBrightness;
        float h2 = Color2.GetHue / 360;
        float s2 = Color2.GetSaturation;
        float b2 = Color2.GetBrightness;
        float absDis = (h1 * h2 + s1 * s2 + b1 * b2) / (Math.Sqrt(h1 * h1 + s1 * s1 + b1 * b1) * Math.Sqrt(h2 * h2 + s2 * s2 + b2 * b2));
        if (absDis > Distance / 5 + 0.8) {
            return true;
        } else {
            return false;
        }
    }
    /// <summary> 
    /// 返回指定颜色的中值
    /// </summary> 
    public object gethHD(Color color1)
    {
        int HD = 0;
        int r = 0;
        int g = 0;
        int b = 0;
        r = color1.R;
        g = color1.G;
        b = color1.B;
        HD = (r + g + b) / 3;
        return HD;
    }
    /// <summary>
    /// 返回指定位图的颜色数组
    /// </summary>
    /// <param name="gBitmap"></param>
    /// <returns></returns>
    public Color[,] GetColorArr(ref Bitmap gBitmap)
    {
        Color[,] TempArr = new Color[gBitmap.Width, gBitmap.Height];
        for (i = 0; i <= gBitmap.Width - 1; i++) {
            for (j = 0; j <= gBitmap.Height - 1; j++) {
                TempArr(i, j) = gBitmap.GetPixel(i, j);
            }
        }
        return TempArr;
    }
    /// <summary>
    /// 返回指定区域的屏幕图像
    /// </summary>
    /// <param name="gX"></param>
    /// <param name="gY"></param>
    /// <param name="gWidth"></param>
    /// <param name="gHeight"></param>
    /// <returns></returns>
    public Bitmap GetScreenImage(int gX, int gY, int gWidth, int gHeight)
    {
        Bitmap ResultBitmap = new Bitmap(gWidth, gHeight);
        using (Graphics pg = Graphics.FromImage(ResultBitmap)) {
            pg.CopyFromScreen(gX, gY, 0, 0, new Size(gWidth, gHeight));
        }
        return ResultBitmap;
    }
    /// <summary>
    /// 返回指定文字生成的位图
    /// </summary>
    /// <param name="gString"></param>
    /// <param name="gFont"></param>
    /// <param name="gWidth"></param>
    /// <param name="gHeight"></param>
    /// <returns></returns>
    public Bitmap GetTextImage(string gString, Font gFont, int gWidth, int gHeight)
    {
        Bitmap ResultBitmap = new Bitmap(gWidth, gHeight);
        using (pg == Graphics.FromImage(ResultBitmap)) {
            pg.SmoothingMode = Drawing2D.SmoothingMode.AntiAlias;
            //抗锯齿
            pg.DrawString(gString, gFont, Brushes.Black, 0, 0);
        }
        return ResultBitmap;
    }
    /// <summary>
    /// 返回指定图位图的二值化图像
    /// </summary>
    /// <param name="gBitmap"></param>
    /// <param name="gSplitNum"></param>
    /// <returns></returns>
    public Bitmap GetThresholdImage(Bitmap gBitmap, float gSplitNum, bool IsHSB = false)
    {
        Bitmap ResultBitmap = new Bitmap(gBitmap.Width, gBitmap.Height);
        [,] ColorArr = GetColorArr(ref gBitmap);
        int TempHD = 0;
        dynamic IsOverThreshold = (Color C1, float gNum) =>
        {
            TempHD = gethHD(C1);
            return (IsHSB ? (C1.GetHue / 360 + C1.GetSaturation + C1.GetBrightness) / 3 < gNum : TempHD < gNum);
        };
        for (i = 0; i <= gBitmap.Width - 1; i++) {
            for (j = 0; j <= gBitmap.Height - 1; j++) {
                ResultBitmap.SetPixel(i, j, IsOverThreshold(ColorArr(i, j), gSplitNum) ? Color.Black : Color.White);
            }
        }

        return ResultBitmap;
    }
    /// <summary>
    /// 返回指定位图的轮廓图像
    /// </summary>
    /// <param name="gBitmap"></param>
    /// <param name="gDistance"></param>
    /// <returns></returns>
    public Bitmap GetOutLineImage(Bitmap gBitmap, float gDistance, bool IsHSB = false)
    {
        short[] xArray2 = {
            0,
            1,
            0,
            -1
        };
        short[] yArray2 = {
            -1,
            0,
            1,
            0
        };
        //Dim ResultBitmap As New Bitmap(gBitmap) '在原图的基础上绘图
        Bitmap ResultBitmap = new Bitmap(gBitmap.Width, gBitmap.Height);
        Color Color1 = default(Color);
        Color Color2 = default(Color);
        dynamic CompareColor = (Color C1, Color C2, float Distance) => { return IsHSB ? CompareHSB(Color1, Color2, Distance) : CompareRGB(Color1, Color2, Distance); };
        dynamic CompareColorExtra = (Color C1, Color C2) => { return IsHSB ? Color1.GetBrightness - Color2.GetBrightness > 0 : gethHD(Color1) - gethHD(Color2) > 0; };
        [,] ColorArr = GetColorArr(ref gBitmap);
        for (i = 1; i <= gBitmap.Width - 2; i++) {
            for (j = 1; j <= gBitmap.Height - 2; j++) {
                ResultBitmap.SetPixel(i, j, Color.White);
                Color1 = ColorArr(i, j);
                for (p = 0; p <= 3; p++) {
                    Color2 = ColorArr(i + xArray2[p], j + yArray2[p]);
                    if (!CompareColor(Color1, Color2, gDistance) & CompareColorExtra(Color1, Color2)) {
                        ResultBitmap.SetPixel(i, j, Color.Black);
                        // ResultBitmap.SetPixel(i, j, ColorArr(i, j))
                    }
                }
            }
        }
        return ResultBitmap;
    }
    /// <summary>
    /// 返回指定位图的空心图像
    /// </summary>
    /// <param name="gBitmap"></param>
    /// <returns></returns>
    public object GetAroundImage(Bitmap gBitmap)
    {
        Bitmap ResultBitmap = new Bitmap(gBitmap.Width, gBitmap.Height);
        int[,] ImageBolArr = GetImageBol(gBitmap);
        for (i = 0; i <= gBitmap.Width - 1; i++) {
            for (j = 0; j <= gBitmap.Height - 1; j++) {
                if (ImageBolArr[i, j] == 1 && CheckPointAround(ImageBolArr, i, j) == false) {
                    ResultBitmap.SetPixel(i, j, Color.Black);
                } else {
                    ResultBitmap.SetPixel(i, j, Color.White);
                }
            }
        }
        return ResultBitmap;
    }
    /// <summary>
    /// 返回指定位图的反相图像
    /// </summary>
    /// <param name="gBitmap"></param>
    /// <returns></returns>
    public object GetInvertImage(Bitmap gBitmap)
    {
        Bitmap ResultBitmap = new Bitmap(gBitmap.Width, gBitmap.Height);
        int[,] ImageBolArr = GetImageBol(gBitmap);
        for (i = 0; i <= gBitmap.Width - 1; i++) {
            for (j = 0; j <= gBitmap.Height - 1; j++) {
                if (ImageBolArr[i, j] == 1) {
                    ResultBitmap.SetPixel(i, j, Color.White);
                } else {
                    ResultBitmap.SetPixel(i, j, Color.Black);
                }
            }
        }
        return ResultBitmap;
    }
    /// <summary>
    /// 返回指定位图的色块图像
    /// </summary>
    /// <param name="gBitmap"></param>
    /// <returns></returns>
    public object GetLumpImage(Bitmap gBitmap, int Range = 10)
    {
        Bitmap ResultBitmap = new Bitmap(gBitmap.Width, gBitmap.Height);
        [,] ColorArr = GetColorArr(ref gBitmap);
        int R = 0;
        int G = 0;
        int B = 0;
        for (i = 0; i <= gBitmap.Width - 1; i++) {
            for (j = 0; j <= gBitmap.Height - 1; j++) {
                R = Conversion.Int(ColorArr(i, j).R / Range) * Range;
                G = Conversion.Int(ColorArr(i, j).G / Range) * Range;
                B = Conversion.Int(ColorArr(i, j).B / Range) * Range;
                ResultBitmap.SetPixel(i, j, Color.FromArgb(R, G, B));
            }
        }
        return ResultBitmap;
    }
    /// <summary>
    /// 返回指定位图的二值化数据
    /// </summary>
    /// <param name="gBitmap"></param>
    /// <returns></returns>
    private int[,] GetImageBol(Bitmap gBitmap)
    {
        int[,] ResultArr = new int[gBitmap.Width, gBitmap.Height];
        for (i = 0; i <= gBitmap.Width - 1; i++) {
            for (j = 0; j <= gBitmap.Height - 1; j++) {
                if (!gBitmap.GetPixel(i, j).Equals(Color.FromArgb(255, 255, 255))) {
                    ResultArr[i, j] = 1;
                } else {
                    ResultArr[i, j] = 0;
                }
            }
        }
        return ResultArr;
    }
    /// <summary>
    /// 检查一个点是否被包围
    /// </summary>
    /// <param name="BolArr"></param>
    /// <param name="x"></param>
    /// <param name="y"></param>
    /// <returns></returns>
    private bool CheckPointAround(int[,] BolArr, int x, int y)
    {
        if (!(x > 0 & y > 0 & x < BolArr.GetUpperBound(0) & y < BolArr.GetUpperBound(1)))
            return true;
        if (BolArr[x - 1, y] == 1 & BolArr[x + 1, y] == 1 & BolArr[x, y - 1] == 1 & BolArr[x, y + 1] == 1) {
            return true;
            //当前点为实体内部
        } else {
            return false;
            //当前点为实体边缘
        }
    }
}

C#

第五节 线条

　　AR程序还可以计算图像组成的线条。

　　参考线条序列，小明就不会不知道如何下笔了。

图5.1 程序实现自动线条

　　定义一个SequenceManager类，它用以识别线条、并管理PointSequence类。

Public Class SequenceManagerClass
    ''' <summary>
    ''' 绘制序列的List
    ''' </summary>
    Public SequenceList As List(Of PointSequenceClass)
    Public Sub New(BolArr(,) As Integer)
        SequenceList = New List(Of PointSequenceClass)
        CalculateSequence(BolArr)
    End Sub
    Private Sub CreateNewSequence()
        SequenceList.Add(New PointSequenceClass)
    End Sub
    Private Sub AddPoint(aPoint As PointF)
        SequenceList.Last.PointList.Add(aPoint)
    End Sub
    Dim xArray() As Integer = {-1, 0, 1, 1, 1, 0, -1, -1}
    Dim yArray() As Integer = {-1, -1, -1, 0, 1, 1, 1, 0}
    Dim NewStart As Boolean
    Private Sub CheckMove(ByRef BolArr(,) As Integer, ByVal x As Integer, ByVal y As Integer, ByVal StepNum As Integer)
        Application.DoEvents()
        If StepNum > 200 Then Return
        Dim xBound As Integer = BolArr.GetUpperBound(0)
        Dim yBound As Integer = BolArr.GetUpperBound(1)
        Dim dx, dy As Integer
        Dim AroundValue As Integer = GetAroundValue(BolArr, x, y)
        If AroundValue > 2 AndAlso AroundValue < 8 Then
            Return
        End If
        For i = 0 To 7
            dx = x + xArray(i)
            dy = y + yArray(i)
            If Not (dx > 0 And dy > 0 And dx < xBound And dy < yBound) Then
                Return
            ElseIf BolArr(dx, dy) = 1 Then
                BolArr(dx, dy) = 0
                If NewStart = True Then
                    Me.CreateNewSequence()
                    Me.AddPoint(New PointF(dx, dy))
                    NewStart = False
                Else
                    Me.AddPoint(New PointF(dx, dy))
                End If
                CheckMove(BolArr, dx, dy, StepNum + 1)
                NewStart = True
            End If
        Next
    End Sub
    Private Sub CalculateSequence(BolArr(,) As Integer)
        Dim xCount As Integer = BolArr.GetUpperBound(0)
        Dim yCount As Integer = BolArr.GetUpperBound(1)
        Dim CP As New Point(xCount / 2, yCount / 2)
        Dim R As Integer = 0
        For R = 0 To If(xCount > yCount, xCount, yCount)
            For Theat = 0 To Math.PI * 2 Step 1 / R
                Dim dx As Integer = CP.X + R * Math.Cos(Theat)
                Dim dy As Integer = CP.Y + R * Math.Sin(Theat)
                If Not (dx > 0 And dy > 0 And dx < xCount And dy < yCount) Then Continue For
                If BolArr(dx, dy) = 1 Then
                    BolArr(dx, dy) = 0
                    Me.CreateNewSequence()
                    Me.AddPoint(New PointF(dx, dy))
                    CheckMove(BolArr, dx, dy, 0)
                    NewStart = True
                End If
            Next
        Next
    End Sub
    Private Function GetAroundValue(ByRef BolArr(,) As Integer, ByVal x As Integer, ByVal y As Integer) As Integer
        Dim dx, dy, ResultValue As Integer
        Dim xBound As Integer = BolArr.GetUpperBound(0)
        Dim yBound As Integer = BolArr.GetUpperBound(1)
        For i = 0 To 7
            dx = x + xArray(i)
            dy = y + yArray(i)
            If dx > 0 And dy > 0 And dx < xBound And dy < yBound Then
                If BolArr(dx, dy) = 1 Then
                    ResultValue += 1
                End If
            End If
        Next
        Return ResultValue
    End Function
End Class
Public Class PointSequenceClass
    Public PointList As New List(Of PointF)
End Class

VB.NET

using Microsoft.VisualBasic;
using System;
using System.Collections;
using System.Collections.Generic;
using System.Data;
using System.Diagnostics;
public class SequenceManagerClass
{
    /// <summary>
    /// 绘制序列的List
    /// </summary>
    public List<PointSequenceClass> SequenceList;
    public SequenceManagerClass(int[,] BolArr)
    {
        SequenceList = new List<PointSequenceClass>();
        CalculateSequence(BolArr);
    }
    private void CreateNewSequence()
    {
        SequenceList.Add(new PointSequenceClass());
    }
    private void AddPoint(PointF aPoint)
    {
        SequenceList.Last.PointList.Add(aPoint);
    }
    int[] xArray = {
        -1,
        0,
        1,
        1,
        1,
        0,
        -1,
        -1
    };
    int[] yArray = {
        -1,
        -1,
        -1,
        0,
        1,
        1,
        1,
        0
    };
    bool NewStart;
    private void CheckMove(ref int[,] BolArr, int x, int y, int StepNum)
    {
        Application.DoEvents();
        if (StepNum > 200)
            return;
        int xBound = BolArr.GetUpperBound(0);
        int yBound = BolArr.GetUpperBound(1);
        int dx = 0;
        int dy = 0;
        int AroundValue = GetAroundValue(ref BolArr, x, y);
        if (AroundValue > 2 && AroundValue < 8) {
            return;
        }
        for (i = 0; i <= 7; i++) {
            dx = x + xArray[i];
            dy = y + yArray[i];
            if (!(dx > 0 & dy > 0 & dx < xBound & dy < yBound)) {
                return;
            } else if (BolArr[dx, dy] == 1) {
                BolArr[dx, dy] = 0;
                if (NewStart == true) {
                    this.CreateNewSequence();
                    this.AddPoint(new PointF(dx, dy));
                    NewStart = false;
                } else {
                    this.AddPoint(new PointF(dx, dy));
                }
                CheckMove(ref BolArr, dx, dy, StepNum + 1);
                NewStart = true;
            }
        }
    }
    private void CalculateSequence(int[,] BolArr)
    {
        int xCount = BolArr.GetUpperBound(0);
        int yCount = BolArr.GetUpperBound(1);
        Point CP = new Point(xCount / 2, yCount / 2);
        int R = 0;
        for (R = 0; R <= xCount > yCount ? xCount : yCount; R++) {
            for (Theat = 0; Theat <= Math.PI * 2; Theat += 1 / R) {
                int dx = CP.X + R * Math.Cos(Theat);
                int dy = CP.Y + R * Math.Sin(Theat);
                if (!(dx > 0 & dy > 0 & dx < xCount & dy < yCount))
                    continue;
                if (BolArr[dx, dy] == 1) {
                    BolArr[dx, dy] = 0;
                    this.CreateNewSequence();
                    this.AddPoint(new PointF(dx, dy));
                    CheckMove(ref BolArr, dx, dy, 0);
                    NewStart = true;
                }
            }
        }
    }
    private int GetAroundValue(ref int[,] BolArr, int x, int y)
    {
        int dx = 0;
        int dy = 0;
        int ResultValue = 0;
        int xBound = BolArr.GetUpperBound(0);
        int yBound = BolArr.GetUpperBound(1);
        for (i = 0; i <= 7; i++) {
            dx = x + xArray[i];
            dy = y + yArray[i];
            if (dx > 0 & dy > 0 & dx < xBound & dy < yBound) {
                if (BolArr[dx, dy] == 1) {
                    ResultValue += 1;
                }
            }
        }
        return ResultValue;
    }
}
public class PointSequenceClass
{
    public List<PointF> PointList = new List<PointF>();
}

C#

第六节 投影

　　最后，AR程序将计算后的图像投影到屏幕上。

　　图像与现实影像真实镶嵌，小明就可以照着屏幕临摹。

图6.1 未经PS的AR演示

　　事实上，小明若使用沉浸式AR眼镜，他会得到更佳的体验。

附录

　　早期博客：程序实现自动绘图

　　早期博客：更优秀的绘图程序

　　开源链接：ExperDot.AutomaticDrawing