public DotEdit(LPoint3D point)
{
_point = point;
InitializeComponent();
this.Loaded += DotEdit_Loaded;
}
/// <summary>
/// interpolation Qbezier
/// </summary>
public static LObject QBezierByStep(Point StartPoint, Point ControlPoint, Point EndPoint, double CRS)
{
LPoint3D LastPoint = new LPoint3D(StartPoint);
double Lenth = 0;
for (int t = 1; t < 100; t++)
{
LPoint3D tempPoint = GetPoint((double)t / 99);
Lenth += LPoint3D.Lenth2D(LastPoint, tempPoint);
LastPoint = tempPoint;
}
int CountStep = (int)(Lenth / (CRS)) >= 2 ? (int)(Lenth / CRS) : 2;
LObject tempObj = new LObject();
for (int t = 0; t < CountStep; t++)
{
tempObj.Add(GetPoint((double)t / (CountStep - 1)));
}
return(tempObj);
LPoint3D GetPoint(double t)
{
return(new LPoint3D(
(1 - t) * (1 - t) * StartPoint.X + 2 * (1 - t) * t * ControlPoint.X + t * t * EndPoint.X,
(1 - t) * (1 - t) * StartPoint.Y + 2 * (1 - t) * t * ControlPoint.Y + t * t * EndPoint.Y));
}
}
/// <summary>
/// interpolation bezier
/// </summary>
public static LObject BezieByStep(Point point0, Point point1, Point point2, Point point3, double CRS)
{
double Lenth = 0;
LPoint3D LastPoint = new LPoint3D(point1);
for (int t = 0; t < 100; t++)
{
LPoint3D tempPoint = GetPoint((double)t / 99);
Lenth += LPoint3D.Lenth2D(LastPoint, tempPoint);
LastPoint = tempPoint;
}
LObject tempObj = new LObject();
int CountStep = (int)(Lenth / CRS) >= 2 ? (int)(Lenth / CRS) : 2;
for (int t = 0; t < CountStep; t++)
{
tempObj.Add(GetPoint((double)t / (CountStep - 1)));
}
return(tempObj);
LPoint3D GetPoint(double t)
{
return(new LPoint3D(
((1 - t) * (1 - t) * (1 - t)) * point0.X
+ 3 * ((1 - t) * (1 - t)) * t * point1.X
+ 3 * (1 - t) * (t * t) * point2.X
+ (t * t * t) * point3.X,
((1 - t) * (1 - t) * (1 - t)) * point0.Y
+ 3 * ((1 - t) * (1 - t)) * t * point1.Y
+ 3 * (1 - t) * (t * t) * point2.Y
+ (t * t * t) * point3.Y, (byte)1));
}
}
