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Dieses Beispiel zeigt die Verwendung von Surfaces. Sie bilden R² nach R³ ab und erzeugen auf diese Art eine Oberfläche. Es können alle vordefinierten Surfaces mit der ComboBox angewählt werden.
Zur Verfügung stehen:
ArrayExtruder,
BezierSurface,
BsplineSurface,
Cone,
Curve2DRotator,
Curve3dRotator,
CurveExtruder,
CustomSurface,
Cylinder,
NurbsSurface,
OffsetSurface,
PlaneSurface,
SmoothPlane,
Sphere,
Torus.
using System;
using System.Drawing;
using System.Windows.Forms;
using Drawing3d;
namespace SurfaceDocu
{
public partial class Form1 : Form
{
MyDevice Device = new MyDevice();
public Form1()
{
InitializeComponent();
Device.WinControl = this;
comboBox1.SelectedIndex = 4;
}
private void comboBox1_SelectedIndexChanged(object sender, EventArgs e)
{
Device.ActiveSurface = (MyDevice.SurfaceKind)comboBox1.SelectedIndex;
}
}
public class MyDevice : OpenGlDevice
{
public enum SurfaceKind
{
ArrayExtruder,
BezierSurface,
BsplineSurface,
Cone,
Curve2DRotator,
Curve3dRotator,
CurveExtruder,
CustomSurface,
Cylinder,
NurbsSurface,
OffsetSurface,
PlaneSurface,
SmoothPlane,
Sphere,
Torus,
};
CustomSurface CustomSurface = new CustomSurface();
public SurfaceKind ActiveSurface = SurfaceKind.Torus;
protected override void OnCreated()
{
base.OnCreated();
DefaultLightPos = Lights[0].Position;
BackColor = Color.White;
CustomSurface.OnGetUDerivation += CustomSurface_OnGetUDerivation;
CustomSurface.OnGetVDerivation += CustomSurface_OnGetVDerivation;
CustomSurface.OnGetValue += CustomSurface_OnGetValue;
}
private xyz CustomSurface_OnGetValue(object sender, double u, double v)
{
double x = 5 * System.Math.Cos(u * 2*Math.PI);
double y = 5 * System.Math.Sin(u * 2 * Math.PI);
double z = 4 * v;
return new xyz(x, y, z);
}
private xyz CustomSurface_OnGetUDerivation(object sender, double u, double v)
{
double x = -5 * System.Math.Sin(u * 2*Math.PI) ;
double y = 5 * System.Math.Cos(u * 2 * Math.PI) ;
double z = 4;
return new xyz(x, y, z);
}
private xyz CustomSurface_OnGetVDerivation(object sender, double u, double v)
{
return (new xyz(0, 0, 1));
}
xyzwf DefaultLightPos = new xyzwf(0, 0, 0, 0);
public override void OnPaint()
{
switch (ActiveSurface)
{
case SurfaceKind.ArrayExtruder:
xyArray A = new xyArray();
A.data = new xy[] { new xy(0, 0), new xy(0, 4), new xy(4, 4), new xy(4, 0),new xy(0,0) };
ArrayExtruder AE = new ArrayExtruder();
AE.Array = A;
AE.Height = 5;
AE.Paint(this);
break;
case SurfaceKind.BezierSurface:
Lights[0].Position = DefaultLightPos;
BezierSurface Bezs = new BezierSurface();
Bezs.ControlPoints = new xyz[,] { { new xyz(0,0,0), new xyz(2, 0, 0), new xyz(4, 0, 0), new xyz(6, 0, 0) },
{ new xyz(0,3,1), new xyz(2, 3, 3), new xyz(4, 3, 0), new xyz(6,3, 0) },
{ new xyz(0,6,1), new xyz(2,6, 3), new xyz(4,6, 0), new xyz(6, 6, 0) },
{ new xyz(0,9,0), new xyz(2,9, 0), new xyz(4, 9, 0), new xyz(6, 9, 0) },
};
Bezs.Paint(this);
break;
case SurfaceKind.BsplineSurface:
BSplineSurface BS = new BSplineSurface();
Lights[0].Position = DefaultLightPos;
BS.ControlPoints = new xyz[,] { { new xyz(0,0,0), new xyz(2, 0, 1), new xyz(4, 0, 1), new xyz(6, 0, 0) },
{ new xyz(0,3,0), new xyz(2, 3, 3), new xyz(4, 3, 3), new xyz(6,3, 0) },
{ new xyz(0,6,0), new xyz(2,6, 3), new xyz(4,6,3), new xyz(6, 6, 0) },
{ new xyz(0,9,0), new xyz(2,9, 0), new xyz(4, 9, 0), new xyz(6, 9, 0) },
};
BS.UDegree = 2;
BS.VDegree = 3;
BS.SetDefaultKnots();
BS.Paint(this);
break;
case SurfaceKind.Cone:
Lights[0].Position = new xyzwf(5, 0, (float)2.5,1);
Cone Cone = new Cone(new xyz(0,0,0),5,2,System.Math.PI/4);
Cone.Paint(this);
break;
case SurfaceKind.Curve2DRotator:
Lights[0].Position = DefaultLightPos;
Curve2dRotator C2d = new Curve2dRotator();
C2d.Curve = new Bezier(new xy(1, 0), new xy(2, 3), new xy(4, 3), new xy(6, 0)); ;
C2d.FromAngle = 0;
C2d.ToAngle = Math.PI / 2;
C2d.Paint(this);
break;
case SurfaceKind.Curve3dRotator:
Curve3dRotator C3d = new Curve3dRotator();
C3d.Curve = new Bezier3D(new xyz(1, 2,0), new xyz(2, 1,3), new xyz(4, 2,3), new xyz(5, 2,0));
C3d.Paint(this);
break;
case SurfaceKind.CurveExtruder:
Lights[0].Position = new xyzwf(3,6,3,1);
CurveExtruder CE = new CurveExtruder();
CE.Curve = new Bezier(new xy(1, 0), new xy(2, 3), new xy(4, 3), new xy(6, 0));
CE.UpPlane = new Plane(new xyz(0, 0, 4), new xyz(0, 0.3, 1));
CE.DownPlane = new Plane(new xyz(0, 0, 0), new xyz(0, -0.3, 1));
CE.Height = -5;
CE.Paint(this);
break;
case SurfaceKind.CustomSurface:
Lights[0].Position = new xyzwf(8, 1, 2, 1);
CustomSurface.Paint(this);
break;
case SurfaceKind.Cylinder:
Lights[0].Position = new xyzwf(8, 1, 2, 1);
Cylinder Cylinder = new Cylinder(3, 5);
drawSurface(Cylinder);
break;
case SurfaceKind.NurbsSurface:
NurbsSurface NS = new NurbsSurface();
Lights[0].Position = DefaultLightPos;
NS.ControlPoints = new xyz[,] {{ new xyz(0,0,0), new xyz(2, 0, 1), new xyz(4, 0, 1), new xyz(6, 0, 0) },
{ new xyz(0,3,0), new xyz(2, 3, 3), new xyz(4, 3, 3), new xyz(6,3, 0) },
{ new xyz(0,6,0), new xyz(2,6, 3), new xyz(4,6,3), new xyz(6, 6, 0) },
{ new xyz(0,9,0), new xyz(2,9, 0), new xyz(4, 9, 0), new xyz(6, 9, 0) },
};
NS.UDegree = 2;
NS.VDegree = 3;
NS.Weights = new double[,] { { 1, 1, 1, 1 },
{ 1, 3,3, 1 },
{ 1, 3, 3, 1 },
{ 1, 1, 1, 1 }
};
NS.SetDefaultKnots();
NS.Paint(this);
break;
case SurfaceKind.OffsetSurface:
Lights[0].Position = DefaultLightPos;
BSplineSurface _BS = new BSplineSurface();
_BS.ControlPoints =
new xyz[,] { { new xyz(0,0,0), new xyz(2, 0, 1), new xyz(4, 0, 1), new xyz(6, 0, 0) },
{ new xyz(0,3,0), new xyz(2, 3, 3), new xyz(4, 3, 3), new xyz(6,3, 0) },
{ new xyz(0,6,0), new xyz(2,6, 3), new xyz(4,6,3), new xyz(6, 6, 0) },
{ new xyz(0,9,0), new xyz(2,9, 0), new xyz(4, 9, 0), new xyz(6, 9, 0) },
};
_BS.UDegree = 2;
_BS.VDegree = 3;
_BS.SetDefaultKnots();
OffsetSurface OS = new OffsetSurface();
OS.BasisSurface = _BS;
OS.Distance = 0.5;
OS.Paint(this);
break;
case SurfaceKind.PlaneSurface:
Lights[0].Position = new xyzwf(2,2,4,1);
PlaneSurface PS = new PlaneSurface(new xyz(0, 0, 0), new xyz(4, 2, 2), new xyz(1, 5, 7));
PS.Width = 4;
PS.Length = 5;
PS.Paint(this);
break;
case SurfaceKind.SmoothPlane:
Lights[0].Position = new xyzwf(2, 2, 4, 1);
SmoothPlane SP = new SmoothPlane(new xyz(0, 0, 0), new xyz(0, 5, 0), new xyz(5, 5, 0), new xyz(5, 0, 0), new xyz(-1, -1, 1), new xyz(-1, 1, 1), new xyz(1, 1, 1), new xyz(1, 1, 1));
SP.Width = 5;
SP.Length = 6;
SP.Paint(this);
break;
case SurfaceKind.Sphere:
Lights[0].Position = DefaultLightPos;
Sphere Sphere = new Sphere(new xyz(2, 1, 1), 4);
drawSurface(Sphere);
break;
case SurfaceKind.Torus:
Lights[0].Position = DefaultLightPos;
Torus Torus = new Torus(1, 4);
drawSurface(Torus);
break;
default:
break;
}
base.OnPaint();
}
}
}
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