public VoronoiDiagram Filter(double minLeftRightDist)
{
VoronoiDiagram VGErg = new VoronoiDiagram();
foreach (VoronoiEdge VE in this.Edges)
{
if (Vector2.DistanceBetweenPoints(VE.LeftData, VE.RightData) >= minLeftRightDist)
{
VGErg.Edges.Add(VE);
}
}
foreach (VoronoiEdge VE in VGErg.Edges)
{
VGErg.Vertizes.Add(VE.VVertexA);
VGErg.Vertizes.Add(VE.VVertexB);
if (!VE.VVertexA.IsNaN && !double.IsInfinity(VE.VVertexA.X))
{
AddToList(VGErg.Vertices, VE.VVertexA, VE.LeftData);
AddToList(VGErg.Vertices, VE.VVertexA, VE.RightData);
}
if (!VE.VVertexB.IsNaN && !double.IsInfinity(VE.VVertexB.X))
{
AddToList(VGErg.Vertices, VE.VVertexB, VE.LeftData);
AddToList(VGErg.Vertices, VE.VVertexB, VE.RightData);
}
}
return(VGErg);
}
/// <summary>
/// Will return the new root (unchanged except in start-up)
/// </summary>
public static VNode ProcessDataEvent(VDataEvent e, VNode Root, VoronoiDiagram VG, double ys, out VDataNode[] CircleCheckList)
{
if (Root == null)
{
Root = new VDataNode(e.DataPoint);
CircleCheckList = new VDataNode[] { (VDataNode)Root };
return(Root);
}
//1. Find the node to be replaced
VNode C = VNode.FindDataNode(Root, ys, e.DataPoint.X);
//2. Create the subtree (ONE Edge, but two VEdgeNodes)
VoronoiEdge VE = new VoronoiEdge();
VE.LeftData = ((VDataNode)C).DataPoint;
VE.RightData = e.DataPoint;
VE.VVertexA = VVUnkown;
VE.VVertexB = VVUnkown;
VG.Edges.Add(VE);
VNode SubRoot;
if (Math.Abs(VE.LeftData.Y - VE.RightData.Y) < 1e-10)
{
if (VE.LeftData.X < VE.RightData.X)
{
SubRoot = new VEdgeNode(VE, false);
SubRoot.Left = new VDataNode(VE.LeftData);
SubRoot.Right = new VDataNode(VE.RightData);
}
else
{
SubRoot = new VEdgeNode(VE, true);
SubRoot.Left = new VDataNode(VE.RightData);
SubRoot.Right = new VDataNode(VE.LeftData);
}
CircleCheckList = new VDataNode[] { (VDataNode)SubRoot.Left, (VDataNode)SubRoot.Right };
}
else
{
SubRoot = new VEdgeNode(VE, false);
SubRoot.Left = new VDataNode(VE.LeftData);
SubRoot.Right = new VEdgeNode(VE, true);
SubRoot.Right.Left = new VDataNode(VE.RightData);
SubRoot.Right.Right = new VDataNode(VE.LeftData);
CircleCheckList = new VDataNode[] { (VDataNode)SubRoot.Left, (VDataNode)SubRoot.Right.Left, (VDataNode)SubRoot.Right.Right };
}
//3. Apply subtree
if (C.Parent == null)
{
return(SubRoot);
}
C.Parent.Replace(C, SubRoot);
return(Root);
}
public static VNode ProcessCircleEvent(VCircleEvent e, VNode Root, VoronoiDiagram VG, double ys, out VDataNode[] CircleCheckList)
{
VDataNode a, b, c;
VEdgeNode eu, eo;
b = e.NodeN;
a = VNode.LeftDataNode(b);
c = VNode.RightDataNode(b);
if (a == null || b.Parent == null || c == null || !a.DataPoint.Equals(e.NodeL.DataPoint) || !c.DataPoint.Equals(e.NodeR.DataPoint))
{
CircleCheckList = new VDataNode[] { };
return(Root); // Abbruch da sich der Graph verändert hat
}
eu = (VEdgeNode)b.Parent;
CircleCheckList = new VDataNode[] { a, c };
//1. Create the new Vertex
Vector2 VNew = new Vector2(e.Center.X, e.Center.Y);
// VNew[0] = Fortune.ParabolicCut(a.DataPoint[0],a.DataPoint[1],c.DataPoint[0],c.DataPoint[1],ys);
// VNew[1] = (ys + a.DataPoint[1])/2 - 1/(2*(ys-a.DataPoint[1]))*(VNew[0]-a.DataPoint[0])*(VNew[0]-a.DataPoint[0]);
VG.Vertizes.Add(VNew);
//2. Find out if a or c are in a distand part of the tree (the other is then b's sibling) and assign the new vertex
if (eu.Left == b) // c is sibling
{
eo = VNode.EdgeToRightDataNode(a);
// replace eu by eu's Right
eu.Parent.Replace(eu, eu.Right);
}
else // a is sibling
{
eo = VNode.EdgeToRightDataNode(b);
// replace eu by eu's Left
eu.Parent.Replace(eu, eu.Left);
}
eu.Edge.AddVertex(VNew);
// ///////////////////// uncertain
// if(eo==eu)
// return Root;
// /////////////////////
//complete & cleanup eo
eo.Edge.AddVertex(VNew);
//while(eo.Edge.VVertexB == Fortune.VVUnkown)
//{
// eo.Flipped = !eo.Flipped;
// eo.Edge.AddVertex(Fortune.VVInfinite);
//}
//if(eo.Flipped)
//{
// Vector2 T = eo.Edge.LeftData;
// eo.Edge.LeftData = eo.Edge.RightData;
// eo.Edge.RightData = T;
//}
//2. Replace eo by new Edge
VoronoiEdge VE = new VoronoiEdge();
VE.LeftData = a.DataPoint;
VE.RightData = c.DataPoint;
VE.AddVertex(VNew);
VG.Edges.Add(VE);
VEdgeNode VEN = new VEdgeNode(VE, false);
VEN.Left = eo.Left;
VEN.Right = eo.Right;
if (eo.Parent == null)
{
return(VEN);
}
eo.Parent.Replace(eo, VEN);
return(Root);
}
public static VoronoiDiagram ComputeForPoints(IEnumerable <Vector2> Datapoints)
{
var PQ = new MinHeap <VEvent>();
var CurrentCircles = new Dictionary <VDataNode, VCircleEvent>();
VoronoiDiagram VG = new VoronoiDiagram();
VNode RootNode = null;
foreach (Vector2 V in Datapoints)
{
PQ.Add(new VDataEvent(V));
}
while (PQ.Count > 0)
{
VEvent VE = PQ.ExtractDominating() as VEvent;
VDataNode[] CircleCheckList;
if (VE is VDataEvent)
{
RootNode = VNode.ProcessDataEvent(VE as VDataEvent, RootNode, VG, VE.Y, out CircleCheckList);
}
else if (VE is VCircleEvent)
{
CurrentCircles.Remove(((VCircleEvent)VE).NodeN);
if (!((VCircleEvent)VE).Valid)
{
continue;
}
RootNode = VNode.ProcessCircleEvent(VE as VCircleEvent, RootNode, VG, VE.Y, out CircleCheckList);
}
else
{
throw new Exception("Got event of type " + VE.GetType().ToString() + "!");
}
foreach (VDataNode VD in CircleCheckList)
{
if (CurrentCircles.ContainsKey(VD))
{
((VCircleEvent)CurrentCircles[VD]).Valid = false;
CurrentCircles.Remove(VD);
}
VCircleEvent VCE = VNode.CircleCheckDataNode(VD, VE.Y);
if (VCE != null)
{
PQ.Add(VCE);
CurrentCircles[VD] = VCE;
}
}
if (VE is VDataEvent)
{
Vector2 DP = ((VDataEvent)VE).DataPoint;
foreach (VCircleEvent VCE in CurrentCircles.Values)
{
if (Vector2.DistanceBetweenPoints(DP, VCE.Center) < VCE.Y - VCE.Center.Y && Math.Abs(Vector2.DistanceBetweenPoints(DP, VCE.Center) - (VCE.Y - VCE.Center.Y)) > 1e-10)
{
VCE.Valid = false;
}
}
}
}
VNode.CleanUpTree(RootNode);
foreach (VoronoiEdge VE in VG.Edges)
{
if (VE.Done)
{
continue;
}
if (VE.VVertexB.IsNaN)
{
VE.AddVertex(VVInfinite);
if (Math.Abs(VE.LeftData.Y - VE.RightData.Y) < 1e-10 && VE.LeftData.X < VE.RightData.X)
{
Vector2 T = VE.LeftData;
VE.LeftData = VE.RightData;
VE.RightData = T;
}
}
}
var MinuteEdges = new List <VoronoiEdge>();
foreach (VoronoiEdge VE in VG.Edges)
{
if (!VE.IsPartlyInfinite && VE.VVertexA.Equals(VE.VVertexB))
{
MinuteEdges.Add(VE);
// prevent rounding errors from expanding to holes
foreach (VoronoiEdge VE2 in VG.Edges)
{
if (VE2.VVertexA.Equals(VE.VVertexA))
{
VE2.VVertexA = VE.VVertexA;
}
if (VE2.VVertexB.Equals(VE.VVertexA))
{
VE2.VVertexB = VE.VVertexA;
}
}
}
}
foreach (VoronoiEdge VE in MinuteEdges)
{
VG.Edges.Remove(VE);
}
return(VG);
}
