/// <summary> /// Will return the new root (unchanged except in start-up) /// </summary> public static VNode ProcessDataEvent(VDataEvent e, VNode root, VoronoiGraph vg, double ys, out VDataNode[] circleCheckList) { if (root == null) { root = new VDataNode(e.DataPoint); circleCheckList = new[] { (VDataNode)root }; return root; } //1. Find the node to be replaced VNode c = 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 = Fortune.VVUnkown; ve.VVertexB = Fortune.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)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)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; }
/// <summary> /// Calculates a list of edges and junction vertices by using the specified points. /// This defaults to not using any tolerance for determining if points are equal, /// and will not use the cleanup algorithm, which breaks the HandleBoundaries /// method in the Voronoi class. /// </summary> /// <param name="vertices">The original points to use during the calculation</param> /// <returns>A VoronoiGraph structure containing the output geometries</returns> public static VoronoiGraph ComputeVoronoiGraph(double[] vertices) { //BinaryPriorityQueue pq = new BinaryPriorityQueue(); SortedDictionary<VEvent, VEvent> pq = new SortedDictionary<VEvent, VEvent>(); Dictionary<VDataNode, VCircleEvent> currentCircles = new Dictionary<VDataNode, VCircleEvent>(); VoronoiGraph vg = new VoronoiGraph(); VNode rootNode = null; for(int i = 0; i < vertices.Length/2; i++) { //pq.Push(new VDataEvent(new Vector(vertex))); VDataEvent e = new VDataEvent(new Vector2(vertices, i*2)); if (pq.ContainsKey(e)) continue; pq.Add(e, e); } while (pq.Count > 0) { //VEvent ve = pq.Pop() as VEvent; VEvent ve = pq.First().Key; pq.Remove(ve); VDataNode[] circleCheckList = new VDataNode[] { }; 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, out circleCheckList); } else if (ve != null) throw new Exception("Got event of type " + ve.GetType() + "!"); foreach (VDataNode vd in circleCheckList) { if (currentCircles.ContainsKey(vd)) { currentCircles[vd].Valid = false; currentCircles.Remove(vd); } if (ve == null) continue; VCircleEvent vce = VNode.CircleCheckDataNode(vd, ve.Y); if (vce == null) continue; //pq.Push(vce); pq.Add(vce, vce); currentCircles[vd] = vce; } if (!(ve is VDataEvent)) continue; Vector2 dp = ((VDataEvent)ve).DataPoint; foreach (VCircleEvent vce in currentCircles.Values) { if (MathTools.Dist(dp.X, dp.Y, vce.Center.X, vce.Center.Y) < vce.Y - vce.Center.Y && Math.Abs(MathTools.Dist(dp.X, dp.Y, vce.Center.X, vce.Center.Y) - (vce.Y - vce.Center.Y)) > 1e-10) vce.Valid = false; } } // This is where the MapWindow version should exit since it uses the HandleBoundaries // function instead. The following code is needed for Benjamin Ditter's original process to work. if (!DoCleanup) return vg; VNode.CleanUpTree(rootNode); foreach (VoronoiEdge ve in vg.Edges) { if (ve.Done) continue; if (ve.VVertexB != VVUnkown) continue; 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; } } ArrayList minuteEdges = new ArrayList(); foreach (VoronoiEdge ve in vg.Edges) { if (ve.IsPartlyInfinite || !ve.VVertexA.Equals(ve.VVertexB)) continue; 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; }