private void DrawMeridians(List <List <NurbsPoint> > controlNet, decimal[] circleKnotVector)
{
var knotU = this.CurveKnotVector;
var knotV = circleKnotVector;
controlNet = controlNet.Transpose();
var stepV = 1M / (controlNet.Count * 10);
for (var v = 0M; v.LessThanOrEqualTo(1M); v += stepV)
{
var curvePoints = new List <Point3D>();
var stepU = 1M / (controlNet.First().Count * 10);
for (var u = 0M; u.LessThanOrEqualTo(1M); u += stepU)
{
var point = SpaceLogic.DeBoorSurface(controlNet, u, knotU, v, knotV).ToPoint3D();
curvePoints.Add(point);
curvePoints.Add(point);
}
curvePoints.RemoveAt(curvePoints.Count - 1);
curvePoints.RemoveAt(0);
var pts = new Point3DCollection(curvePoints);
var curve = new LinesVisual3D {
Color = Colors.Blue, Points = pts, Thickness = 1
};
this.HelixView.Children.Add(curve);
}
}
private void Render()
{
this.HelixView.Children.Clear();
var controlNet = new List <List <NurbsPoint> >();
var circleKnotVector = new decimal[1];
foreach (var cp in this.ControlPoints)
{
controlNet.Add(SpaceLogic.Arc(cp, this.Angle, out circleKnotVector));
}
if (this.MenuItemAxis.IsChecked)
{
var axis = new LinesVisual3D
{
Color = Colors.Red,
Points = new Point3DCollection(new List <Point3D>
{
new Point3D(0, -1000d, 0),
new Point3D(0, 1000d, 0)
}),
Thickness = 1
};
this.HelixView.Children.Add(axis);
}
if (this.MenuItemNet.IsChecked)
{
this.DrawControlNet(controlNet);
}
if (this.MenuItemCurve.IsChecked)
{
var points =
new Point3DCollection(NurbsLogic.GetCurvePoints(this.Degree, this.ControlPoints, CurveKnotVector));
var curve = new LinesVisual3D {
Color = Colors.BlueViolet, Points = points, Thickness = 1
};
this.HelixView.Children.Add(curve);
}
if (this.MenuItemPar.IsChecked)
{
this.DrawParallels(controlNet, circleKnotVector);
}
if (this.MenuItemMer.IsChecked)
{
this.DrawMeridians(controlNet, circleKnotVector);
}
}
public static List <NurbsPoint> Arc(NurbsPoint P0, int phi, out decimal[] knotVector)
{
var arcs = 0;
knotVector = new decimal[] { };
if (phi <= 90)
{
arcs = 1;
knotVector = new[] { 0M, 0, 0, 1, 1, 1 };
}
else if (phi <= 180)
{
arcs = 2;
knotVector = new[] { 0, 0, 0, 1M / 2, 1M / 2, 1, 1, 1 };
}
else if (phi <= 270)
{
arcs = 3;
knotVector = new[] { 0, 0, 0, 1M / 3, 1M / 3, 2M / 3, 2M / 3, 1, 1, 1 };
}
else if (phi <= 360)
{
arcs = 4;
knotVector = new[] { 0, 0, 0, 1M / 4, 1M / 4, 2M / 4, 2M / 4, 3M / 4, 3M / 4, 1, 1, 1 };
}
var theta = phi / (double)arcs;
var pointsList = new List <NurbsPoint> {
P0
};
if (arcs >= 1)
{
var P1 = SpaceLogic.MiddlePoint(pointsList.LastOrDefault(), theta);
var P2 = SpaceLogic.RotateY(pointsList.LastOrDefault(), theta);
pointsList.Add(P1);
pointsList.Add(P2);
}
if (arcs >= 2)
{
var P3 = SpaceLogic.MiddlePoint(pointsList.LastOrDefault(), theta);
var P4 = SpaceLogic.RotateY(pointsList.LastOrDefault(), theta);
pointsList.Add(P3);
pointsList.Add(P4);
}
if (arcs >= 3)
{
var P5 = SpaceLogic.MiddlePoint(pointsList.LastOrDefault(), theta);
var P6 = SpaceLogic.RotateY(pointsList.LastOrDefault(), theta);
pointsList.Add(P5);
pointsList.Add(P6);
}
if (arcs >= 4)
{
var P7 = SpaceLogic.MiddlePoint(pointsList.LastOrDefault(), theta);
var P8 = SpaceLogic.RotateY(pointsList.LastOrDefault(), theta);
pointsList.Add(P7);
pointsList.Add(P8);
}
return(pointsList);
}
