private void AffineTransform(ref Com.PointD3D Pt, Com.PointD3D Origin, Com.Matrix AffineMatrix)
{
//
// 将一个 3D 坐标以指定点为新的原点进行仿射变换。
//
Pt -= Origin;
Pt.AffineTransform(AffineMatrix);
Pt += Origin;
}
private void Label_Control_MouseDown(object sender, MouseEventArgs e)
{
//
// 鼠标按下 Label_Control。
//
if (e.Button == MouseButtons.Left)
{
((Label)sender).BackColor = Me.RecommendColors.Button_INC.ToColor();
((Label)sender).Cursor = Cursors.SizeWE;
CubeSizeCopy = CubeSize;
AffineMatrix3DCopy = AffineMatrix3D.Copy();
IlluminationDirectionCopy = IlluminationDirection;
ExposureCopy = Exposure;
CursorX = e.X;
AdjustNow = true;
}
}
private void Label_Rz_MouseMove(object sender, MouseEventArgs e)
{
//
// 鼠标经过 Label_Rz。
//
if (AdjustNow && !BackgroundWorker_RepaintBmpDelay.IsBusy)
{
double angle = (e.X - CursorX) * RadPerPixel;
((Label)sender).Text = (angle >= 0 ? "+ " : "- ") + (Math.Abs(angle) / Math.PI * 180).ToString("F0") + "°";
Com.Matrix matrixLeft = Com.PointD3D.RotateZMatrix(angle);
AffineMatrix3D = Com.Matrix.Multiply(matrixLeft, AffineMatrix3DCopy);
if (!Com.Matrix.IsNullOrEmpty(AffineMatrix3D))
{
BackgroundWorker_RepaintBmpDelay.RunWorkerAsync();
}
}
}
private Bitmap GetProjectionOfCube(Com.PointD3D CubeSize, Color CubeColor, Com.Matrix AffineMatrix, Com.PointD3D IlluminationDirection, double Exposure, Views View, SizeF ImageSize)
{
//
// 获取立方体的投影。
//
double CubeDiag = Math.Min(ImageSize.Width, ImageSize.Height);
CubeSize = CubeSize.Normalize * CubeDiag;
Bitmap PrjBmp = new Bitmap(Math.Max(1, (int)ImageSize.Width), Math.Max(1, (int)ImageSize.Height));
//
Com.PointD3D CubeCenter = new Com.PointD3D(0, 0, 0);
Com.PointD3D P3D_000 = new Com.PointD3D(0, 0, 0);
Com.PointD3D P3D_100 = new Com.PointD3D(1, 0, 0);
Com.PointD3D P3D_010 = new Com.PointD3D(0, 1, 0);
Com.PointD3D P3D_110 = new Com.PointD3D(1, 1, 0);
Com.PointD3D P3D_001 = new Com.PointD3D(0, 0, 1);
Com.PointD3D P3D_101 = new Com.PointD3D(1, 0, 1);
Com.PointD3D P3D_011 = new Com.PointD3D(0, 1, 1);
Com.PointD3D P3D_111 = new Com.PointD3D(1, 1, 1);
P3D_000 = (P3D_000 - 0.5) * CubeSize + CubeCenter;
P3D_100 = (P3D_100 - 0.5) * CubeSize + CubeCenter;
P3D_010 = (P3D_010 - 0.5) * CubeSize + CubeCenter;
P3D_110 = (P3D_110 - 0.5) * CubeSize + CubeCenter;
P3D_001 = (P3D_001 - 0.5) * CubeSize + CubeCenter;
P3D_101 = (P3D_101 - 0.5) * CubeSize + CubeCenter;
P3D_011 = (P3D_011 - 0.5) * CubeSize + CubeCenter;
P3D_111 = (P3D_111 - 0.5) * CubeSize + CubeCenter;
Com.PointD3D RotateCenter3D = CubeCenter;
AffineTransform(ref P3D_000, RotateCenter3D, AffineMatrix);
AffineTransform(ref P3D_100, RotateCenter3D, AffineMatrix);
AffineTransform(ref P3D_010, RotateCenter3D, AffineMatrix);
AffineTransform(ref P3D_110, RotateCenter3D, AffineMatrix);
AffineTransform(ref P3D_001, RotateCenter3D, AffineMatrix);
AffineTransform(ref P3D_101, RotateCenter3D, AffineMatrix);
AffineTransform(ref P3D_011, RotateCenter3D, AffineMatrix);
AffineTransform(ref P3D_111, RotateCenter3D, AffineMatrix);
//
double TrueLenDist3D = new Com.PointD(Screen.PrimaryScreen.Bounds.Size).Module;
Com.PointD3D PrjCenter3D = CubeCenter;
switch (View)
{
case Views.XY: PrjCenter3D.Z -= (TrueLenDist3D + CubeDiag / 2); break;
case Views.YZ: PrjCenter3D.X -= (TrueLenDist3D + CubeDiag / 2); break;
case Views.ZX: PrjCenter3D.Y -= (TrueLenDist3D + CubeDiag / 2); break;
}
Func <Com.PointD3D, Com.PointD3D, double, Com.PointD> GetProject3D = (Pt, PrjCenter, TrueLenDist) =>
{
switch (View)
{
case Views.XY: return(Pt.ProjectToXY(PrjCenter, TrueLenDist));
case Views.YZ: return(Pt.ProjectToYZ(PrjCenter, TrueLenDist));
case Views.ZX: return(Pt.ProjectToZX(PrjCenter, TrueLenDist));
default: return(Com.PointD.NaN);
}
};
Com.PointD P2D_000 = GetProject3D(P3D_000, PrjCenter3D, TrueLenDist3D);
Com.PointD P2D_100 = GetProject3D(P3D_100, PrjCenter3D, TrueLenDist3D);
Com.PointD P2D_010 = GetProject3D(P3D_010, PrjCenter3D, TrueLenDist3D);
Com.PointD P2D_110 = GetProject3D(P3D_110, PrjCenter3D, TrueLenDist3D);
Com.PointD P2D_001 = GetProject3D(P3D_001, PrjCenter3D, TrueLenDist3D);
Com.PointD P2D_101 = GetProject3D(P3D_101, PrjCenter3D, TrueLenDist3D);
Com.PointD P2D_011 = GetProject3D(P3D_011, PrjCenter3D, TrueLenDist3D);
Com.PointD P2D_111 = GetProject3D(P3D_111, PrjCenter3D, TrueLenDist3D);
Com.PointD BitmapCenter = new Com.PointD(PrjBmp.Size) / 2;
PointF P_000 = (P2D_000 + BitmapCenter).ToPointF();
PointF P_100 = (P2D_100 + BitmapCenter).ToPointF();
PointF P_010 = (P2D_010 + BitmapCenter).ToPointF();
PointF P_110 = (P2D_110 + BitmapCenter).ToPointF();
PointF P_001 = (P2D_001 + BitmapCenter).ToPointF();
PointF P_101 = (P2D_101 + BitmapCenter).ToPointF();
PointF P_011 = (P2D_011 + BitmapCenter).ToPointF();
PointF P_111 = (P2D_111 + BitmapCenter).ToPointF();
//
List <Com.PointD3D[]> Element3D = new List <Com.PointD3D[]>(18)
{
// XY 面
new Com.PointD3D[] { P3D_000, P3D_010, P3D_110, P3D_100 },
new Com.PointD3D[] { P3D_001, P3D_011, P3D_111, P3D_101 },
// YZ 面
new Com.PointD3D[] { P3D_000, P3D_001, P3D_011, P3D_010 },
new Com.PointD3D[] { P3D_100, P3D_101, P3D_111, P3D_110 },
// ZX 面
new Com.PointD3D[] { P3D_000, P3D_001, P3D_101, P3D_100 },
new Com.PointD3D[] { P3D_010, P3D_011, P3D_111, P3D_110 },
// X 棱
new Com.PointD3D[] { P3D_000, P3D_100 },
new Com.PointD3D[] { P3D_010, P3D_110 },
new Com.PointD3D[] { P3D_001, P3D_101 },
new Com.PointD3D[] { P3D_011, P3D_111 },
// Y 棱
new Com.PointD3D[] { P3D_000, P3D_010 },
new Com.PointD3D[] { P3D_100, P3D_110 },
new Com.PointD3D[] { P3D_001, P3D_011 },
new Com.PointD3D[] { P3D_101, P3D_111 },
// Z 棱
new Com.PointD3D[] { P3D_000, P3D_001 },
new Com.PointD3D[] { P3D_100, P3D_101 },
new Com.PointD3D[] { P3D_010, P3D_011 },
new Com.PointD3D[] { P3D_110, P3D_111 }
};
List <PointF[]> Element2D = new List <PointF[]>(18)
{
// XY 面
new PointF[] { P_000, P_010, P_110, P_100 },
new PointF[] { P_001, P_011, P_111, P_101 },
// YZ 面
new PointF[] { P_000, P_001, P_011, P_010 },
new PointF[] { P_100, P_101, P_111, P_110 },
// ZX 面
new PointF[] { P_000, P_001, P_101, P_100 },
new PointF[] { P_010, P_011, P_111, P_110 },
// X 棱
new PointF[] { P_000, P_100 },
new PointF[] { P_010, P_110 },
new PointF[] { P_001, P_101 },
new PointF[] { P_011, P_111 },
// Y 棱
new PointF[] { P_000, P_010 },
new PointF[] { P_100, P_110 },
new PointF[] { P_001, P_011 },
new PointF[] { P_101, P_111 },
// Z 棱
new PointF[] { P_000, P_001 },
new PointF[] { P_100, P_101 },
new PointF[] { P_010, P_011 },
new PointF[] { P_110, P_111 }
};
//
List <double> IlluminationIntensity = new List <double>(Element3D.Count);
double Exp = Math.Max(-2, Math.Min(Exposure / 50, 2));
if (IlluminationDirection.IsZero)
{
for (int i = 0; i < 6; i++)
{
IlluminationIntensity.Add(Exp);
}
for (int i = 6; i < Element3D.Count; i++)
{
IlluminationIntensity.Add((Math.Sqrt(2) / 2) * (Exp + 1) + (Exp - 1));
}
}
else
{
List <Com.PointD3D> NormalVector = new List <Com.PointD3D>(6)
{
// XY 面
new Com.PointD3D(0, 0, -1),
new Com.PointD3D(0, 0, 1),
// YZ 面
new Com.PointD3D(-1, 0, 0),
new Com.PointD3D(1, 0, 0),
// ZX 面
new Com.PointD3D(0, -1, 0),
new Com.PointD3D(0, 1, 0),
};
Com.PointD3D NewOrigin = new Com.PointD3D(0, 0, 0).AffineTransformCopy(AffineMatrix);
for (int i = 0; i < NormalVector.Count; i++)
{
NormalVector[i] = NormalVector[i].AffineTransformCopy(AffineMatrix) - NewOrigin;
}
List <double> Angle = new List <double>(NormalVector.Count);
for (int i = 0; i < NormalVector.Count; i++)
{
Angle.Add(IlluminationDirection.AngleFrom(NormalVector[i]));
}
for (int i = 0; i < Angle.Count; i++)
{
double A = Angle[i];
double CosA = Math.Cos(A);
double CosSqrA = CosA * CosA;
double _IlluminationIntensity = (A < Math.PI / 2 ? -CosSqrA : (A > Math.PI / 2 ? CosSqrA : 0));
if (CubeColor.A < 255 && A != Math.PI / 2)
{
double Transmittance = 1 - (double)CubeColor.A / 255;
if (A < Math.PI / 2)
{
_IlluminationIntensity += (Transmittance * Math.Abs(CosA) * CosSqrA);
}
else
{
_IlluminationIntensity -= ((1 - Transmittance) * (1 - Math.Abs(CosA)) * CosSqrA);
}
}
_IlluminationIntensity += Exp;
IlluminationIntensity.Add(_IlluminationIntensity);
}
for (int i = 6; i < Element3D.Count; i++)
{
double _IlluminationIntensity = 0;
int Num = 0;
for (int j = 0; j < 6; j++)
{
bool Flag = true;
foreach (Com.PointD3D P in Element3D[i])
{
if (!Element3D[j].Contains(P))
{
Flag = false;
break;
}
}
if (Flag)
{
_IlluminationIntensity += IlluminationIntensity[j];
Num++;
}
}
_IlluminationIntensity = (Math.Sqrt(2) / 2) * (_IlluminationIntensity / Num + 1) + (Exp - 1);
IlluminationIntensity.Add(_IlluminationIntensity);
}
}
for (int i = 0; i < IlluminationIntensity.Count; i++)
{
IlluminationIntensity[i] = Math.Max(-1, Math.Min(IlluminationIntensity[i], 1));
}
//
List <Color> ElementColor = new List <Color>(IlluminationIntensity.Count);
for (int i = 0; i < IlluminationIntensity.Count; i++)
{
switch (i)
{
case 6:
ElementColor.Add(Colors.X);
break;
case 10:
ElementColor.Add(Colors.Y);
break;
case 14:
ElementColor.Add(Colors.Z);
break;
default:
{
double _IlluminationIntensity = IlluminationIntensity[i];
if (_IlluminationIntensity == 0)
{
ElementColor.Add(CubeColor);
}
else
{
Com.ColorX EColor = new Com.ColorX(CubeColor);
if (_IlluminationIntensity < 0)
{
EColor.Lightness_HSL += EColor.Lightness_HSL * _IlluminationIntensity;
}
else
{
EColor.Lightness_HSL += (100 - EColor.Lightness_HSL) * _IlluminationIntensity;
}
ElementColor.Add(EColor.ToColor());
}
}
break;
}
}
//
List <double> ElementZAvg = new List <double>(Element3D.Count);
for (int i = 0; i < Element3D.Count; i++)
{
Com.PointD3D[] Element = Element3D[i];
double ZAvg = 0;
foreach (Com.PointD3D P in Element)
{
switch (View)
{
case Views.XY: ZAvg += P.Z; break;
case Views.YZ: ZAvg += P.X; break;
case Views.ZX: ZAvg += P.Y; break;
}
}
ZAvg /= Element.Length;
ElementZAvg.Add(ZAvg);
}
List <int> ElementIndex = new List <int>(ElementZAvg.Count);
for (int i = 0; i < ElementZAvg.Count; i++)
{
ElementIndex.Add(i);
}
for (int i = 0; i < ElementZAvg.Count; i++)
{
for (int j = i + 1; j < ElementZAvg.Count; j++)
{
if (ElementZAvg[ElementIndex[i]] < ElementZAvg[ElementIndex[j]] || (ElementZAvg[ElementIndex[i]] <= ElementZAvg[ElementIndex[j]] + 2F && Element2D[ElementIndex[i]].Length < Element2D[ElementIndex[j]].Length))
{
int Temp = ElementIndex[i];
ElementIndex[i] = ElementIndex[j];
ElementIndex[j] = Temp;
}
}
}
//
using (Graphics Grph = Graphics.FromImage(PrjBmp))
{
Grph.SmoothingMode = SmoothingMode.AntiAlias;
//
for (int i = 0; i < ElementIndex.Count; i++)
{
int EIndex = ElementIndex[i];
Color EColor = ElementColor[EIndex];
if (!EColor.IsEmpty && EColor.A > 0)
{
PointF[] Element = Element2D[EIndex];
if (Element.Length >= 3)
{
try
{
using (SolidBrush Br = new SolidBrush(EColor))
{
Grph.FillPolygon(Br, Element);
}
}
catch { }
}
else if (Element.Length == 2)
{
double PrjZ = 0;
switch (View)
{
case Views.XY: PrjZ = PrjCenter3D.Z; break;
case Views.YZ: PrjZ = PrjCenter3D.X; break;
case Views.ZX: PrjZ = PrjCenter3D.Y; break;
}
float EdgeWidth = (TrueLenDist3D == 0 ? 2F : (float)(TrueLenDist3D / (ElementZAvg[EIndex] - PrjZ) * 2F));
try
{
Brush Br;
Func <Color, double, int> GetAlpha = (Cr, Z) =>
{
int Alpha;
if (TrueLenDist3D == 0)
{
Alpha = Cr.A;
}
else
{
if (Z - PrjZ <= TrueLenDist3D)
{
Alpha = Cr.A;
}
else
{
Alpha = (int)Math.Max(0, Math.Min(TrueLenDist3D / (Z - PrjZ) * Cr.A, 255));
}
}
if (EdgeWidth < 1)
{
Alpha = (int)(Alpha * EdgeWidth);
}
return(Alpha);
};
if (Com.PointD.DistanceBetween(new Com.PointD(Element[0]), new Com.PointD(Element[1])) > 1)
{
int Alpha0 = 0, Alpha1 = 0;
switch (View)
{
case Views.XY:
{
Alpha0 = GetAlpha(EColor, Element3D[EIndex][0].Z);
Alpha1 = GetAlpha(EColor, Element3D[EIndex][1].Z);
}
break;
case Views.YZ:
{
Alpha0 = GetAlpha(EColor, Element3D[EIndex][0].X);
Alpha1 = GetAlpha(EColor, Element3D[EIndex][1].X);
}
break;
case Views.ZX:
{
Alpha0 = GetAlpha(EColor, Element3D[EIndex][0].Y);
Alpha1 = GetAlpha(EColor, Element3D[EIndex][1].Y);
}
break;
}
Br = new LinearGradientBrush(Element[0], Element[1], Color.FromArgb(Alpha0, EColor), Color.FromArgb(Alpha1, EColor));
}
else
{
int Alpha = GetAlpha(EColor, ElementZAvg[EIndex]);
Br = new SolidBrush(Color.FromArgb(Alpha, EColor));
}
using (Pen Pn = new Pen(Br, EdgeWidth))
{
Grph.DrawLines(Pn, Element);
}
if (Br != null)
{
Br.Dispose();
}
}
catch { }
}
}
}
//
Func <Com.PointD3D, int, int, int> GetAlphaOfPoint = (Pt, MinAlpha, MaxAlpha) =>
{
switch (View)
{
case Views.XY: return((int)Math.Max(0, Math.Min(((Pt.Z - CubeCenter.Z) / CubeDiag + 0.5) * (MinAlpha - MaxAlpha) + MaxAlpha, 255)));
case Views.YZ: return((int)Math.Max(0, Math.Min(((Pt.X - CubeCenter.X) / CubeDiag + 0.5) * (MinAlpha - MaxAlpha) + MaxAlpha, 255)));
case Views.ZX: return((int)Math.Max(0, Math.Min(((Pt.Y - CubeCenter.Y) / CubeDiag + 0.5) * (MinAlpha - MaxAlpha) + MaxAlpha, 255)));
default: return(0);
}
};
Grph.DrawString("X", new Font("微软雅黑", 9F, FontStyle.Regular, GraphicsUnit.Point, 134), new SolidBrush(Color.FromArgb(GetAlphaOfPoint(P3D_100, 64, 192), Colors.X)), P_100);
Grph.DrawString("Y", new Font("微软雅黑", 9F, FontStyle.Regular, GraphicsUnit.Point, 134), new SolidBrush(Color.FromArgb(GetAlphaOfPoint(P3D_010, 64, 192), Colors.Y)), P_010);
Grph.DrawString("Z", new Font("微软雅黑", 9F, FontStyle.Regular, GraphicsUnit.Point, 134), new SolidBrush(Color.FromArgb(GetAlphaOfPoint(P3D_001, 64, 192), Colors.Z)), P_001);
//
string ViewName = string.Empty;
switch (View)
{
case Views.XY: ViewName = "XY 视图 (主视图)"; break;
case Views.YZ: ViewName = "YZ 视图"; break;
case Views.ZX: ViewName = "ZX 视图"; break;
}
Grph.DrawString(ViewName, new Font("微软雅黑", 10F, FontStyle.Regular, GraphicsUnit.Point, 134), new SolidBrush(Colors.Text), new PointF(Math.Max(0, (PrjBmp.Width - PrjBmp.Height) / 4), Math.Max(0, (PrjBmp.Height - PrjBmp.Width) / 4)));
//
Grph.DrawRectangle(new Pen(Color.FromArgb(64, Colors.Border), 1F), new Rectangle(new Point(-1, -1), PrjBmp.Size));
}
return(PrjBmp);
}
