//Generate the voronoi diagram using an external library
public VoronoiDiagram GetVoronoi(List<Point> points)
{
_siteCells = new Dictionary<Point, Cell>();
var nrPoints = points.Count;
var dataPoints = new Vector[nrPoints];
for (int i = 0; i < nrPoints; i++)
{
var point = points[i];
if (_siteCells.ContainsKey(point))
continue;
dataPoints[i] = new Vector(point.X,point.Y);
var cell = new Cell {SitePoint = point};
_siteCells.Add(point, cell);
}
//Create Voronoi Data using library
var data = Fortune.ComputeVoronoiGraph(dataPoints);
//data = BenTools.Mathematics.Fortune.FilterVG(data, 15);
//Create Diagram
_voronoi = new VoronoiDiagram();
_voronoi.HalfEdges = GenerateLines(data);
_voronoi.VoronoiCells = GenerateCells(data);
_voronoi.Sites = points;
return _voronoi;
}
/// <summary>
/// Build a new vector as a copy of an existing one
/// </summary>
/// <param name="O">The existing vector</param>
public Vector(Vector O)
: this(O.data)
{
}
/// <summary>
/// Reset all elements with ransom values from the given range
/// </summary>
/// <param name="MinMax">MinMax[0] - Min
/// MinMax[1] - Max</param>
public void Randomize(Vector[] MinMax)
{
int i;
for(i=0;i<data.Length;i++)
{
this[i] = MinMax[0][i] + (MinMax[1][i]-MinMax[0][i])*MathTools.R.NextDouble();
}
}
/// <summary>
/// Add another vector
/// </summary>
/// <param name="V">V</param>
public void Add(Vector V)
{
int i;
for(i=0;i<data.Length;i++)
{
this[i] += V[i];
}
}
/// <summary>
/// Get the distance of two vectors
/// </summary>
public static double Dist(Vector V1, Vector V2)
{
if(V1.Dim != V2.Dim)
return -1;
int i;
double E = 0,D;
for(i=0;i<V1.Dim;i++)
{
D=(V1[i]-V2[i]);
E+=D*D;
}
return E;
}
/// <summary>
/// Subtract two vectors
/// </summary>
public static Vector operator -(Vector A, Vector B)
{
if(A.Dim!=B.Dim)
throw new Exception("Vectors of different dimension!");
Vector Erg = new Vector(A.Dim);
int i;
for(i=0;i<A.Dim;i++)
Erg[i]=A[i]-B[i];
return Erg;
}
/// <summary>
/// Scale one vector
/// </summary>
public static Vector operator *(Vector A, double B)
{
Vector Erg = new Vector(A.Dim);
int i;
for(i=0;i<A.Dim;i++)
Erg[i]=A[i]*B;
return Erg;
}
public static VNode ProcessCircleEvent(VCircleEvent e, VNode Root, VoronoiGraph 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
Vector VNew = new Vector(e.Center[0],e.Center[1]);
// 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)
//{
// Vector 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 VDataNode(Vector DP)
{
this.DataPoint = DP;
}
public VDataEvent(Vector DP)
{
this.DataPoint = DP;
}
public void AddVertex(Vector V)
{
if(VVertexA==Fortune.VVUnkown)
VVertexA = V;
else if(VVertexB==Fortune.VVUnkown)
VVertexB = V;
else throw new Exception("Tried to add third vertex!");
}
internal static Vector CircumCircleCenter(Vector A, Vector B, Vector C)
{
if(A==B || B==C || A==C)
throw new Exception("Need three different points!");
double tx = (A[0] + C[0])/2;
double ty = (A[1] + C[1])/2;
double vx = (B[0] + C[0])/2;
double vy = (B[1] + C[1])/2;
double ux,uy,wx,wy;
if(A[0] == C[0])
{
ux = 1;
uy = 0;
}
else
{
ux = (C[1] - A[1])/(A[0] - C[0]);
uy = 1;
}
if(B[0] == C[0])
{
wx = -1;
wy = 0;
}
else
{
wx = (B[1] - C[1])/(B[0] - C[0]);
wy = -1;
}
double alpha = (wy*(vx-tx)-wx*(vy - ty))/(ux*wy-wx*uy);
return new Vector(tx+alpha*ux,ty+alpha*uy);
}