Example #1
0
        private static bool Legalize(DTSweepContext tcx, DelaunayTriangle t)
        {
            for (int i = 0; i < 3; i++)
            {
                if (t.EdgeIsDelaunay[i])
                {
                    continue;
                }

                DelaunayTriangle ot = t.Neighbors[i];
                if (ot == null)
                {
                    continue;
                }

                TriangulationPoint p  = t.Points[i];
                TriangulationPoint op = ot.OppositePoint(t, p);
                int oi = ot.IndexOf(op);

                if (ot.EdgeIsConstrained[oi] || ot.EdgeIsDelaunay[oi])
                {
                    t.SetConstrainedEdgeAcross(p, ot.EdgeIsConstrained[oi]);
                    continue;
                }

                if (!TriangulationUtil.SmartIncircle(p, t.PointCCWFrom(p), t.PointCWFrom(p), op))
                {
                    continue;
                }


                t.EdgeIsDelaunay[i]   = true;
                ot.EdgeIsDelaunay[oi] = true;

                RotateTrianglePair(t, p, ot, op);

                if (!Legalize(tcx, t))
                {
                    tcx.MapTriangleToNodes(t);
                }
                if (!Legalize(tcx, ot))
                {
                    tcx.MapTriangleToNodes(ot);
                }

                t.EdgeIsDelaunay[i]   = false;
                ot.EdgeIsDelaunay[oi] = false;

                return(true);
            }
            return(false);
        }
Example #2
0
 public void MapTriangleToNodes(DelaunayTriangle t)
 {
     for (int i = 0; i < 3; i++)
     {
         if (t.Neighbors[i] == null)
         {
             AdvancingFrontNode n = Front.LocatePoint(t.PointCWFrom(t.Points[i]));
             if (n != null)
             {
                 n.Triangle = t;
             }
         }
     }
 }
Example #3
0
        private static bool NextFlipPoint(TriangulationPoint ep, TriangulationPoint eq, DelaunayTriangle ot, TriangulationPoint op, out TriangulationPoint newP)
        {
            newP = null;
            Orientation o2d = TriangulationUtil.Orient2d(eq, op, ep);

            switch (o2d)
            {
            case Orientation.CW:
                newP = ot.PointCCWFrom(op);
                return(true);

            case Orientation.CCW:
                newP = ot.PointCWFrom(op);
                return(true);

            case Orientation.Collinear:
                return(false);

            default:
                throw new NotImplementedException("Orientation not handled");
            }
        }
Example #4
0
 public TriangulationPoint OppositePoint(DelaunayTriangle t, TriangulationPoint p)
 {
     Debug.Assert(t != this, "self-pointer error");
     return(PointCWFrom(t.PointCWFrom(p)));
 }
Example #5
0
        private static void FlipScanEdgeEvent(DTSweepContext tcx, TriangulationPoint ep, TriangulationPoint eq, DelaunayTriangle flipTriangle, DelaunayTriangle t, TriangulationPoint p)
        {
            DelaunayTriangle   ot;
            TriangulationPoint op, newP;
            bool inScanArea;

            ot = t.NeighborAcrossFrom(p);
            op = ot.OppositePoint(t, p);

            if (ot == null)
            {
                throw new Exception("FLIP failed due to missing triangle");
            }

            if (tcx.IsDebugEnabled)
            {
                Console.WriteLine("scan next point");
                tcx.DTDebugContext.PrimaryTriangle   = t;
                tcx.DTDebugContext.SecondaryTriangle = ot;
            }

            inScanArea = TriangulationUtil.InScanArea(eq, flipTriangle.PointCCWFrom(eq), flipTriangle.PointCWFrom(eq), op);
            if (inScanArea)
            {
                FlipEdgeEvent(tcx, eq, op, ot, op);
            }
            else
            {
                if (NextFlipPoint(ep, eq, ot, op, out newP))
                {
                    FlipScanEdgeEvent(tcx, ep, eq, flipTriangle, ot, newP);
                }
            }
        }
Example #6
0
        private static void FlipEdgeEvent(DTSweepContext tcx, TriangulationPoint ep, TriangulationPoint eq, DelaunayTriangle t, TriangulationPoint p)
        {
            DelaunayTriangle   ot = t.NeighborAcrossFrom(p);
            TriangulationPoint op = ot.OppositePoint(t, p);

            if (ot == null)
            {
                throw new InvalidOperationException("[BUG:FIXME] FLIP failed due to missing triangle");
            }

            if (tcx.IsDebugEnabled)
            {
                tcx.DTDebugContext.PrimaryTriangle   = t;
                tcx.DTDebugContext.SecondaryTriangle = ot;
            }

            bool inScanArea = TriangulationUtil.InScanArea(p, t.PointCCWFrom(p), t.PointCWFrom(p), op);

            if (inScanArea)
            {
                RotateTrianglePair(t, p, ot, op);
                tcx.MapTriangleToNodes(t);
                tcx.MapTriangleToNodes(ot);

                if (p == eq && op == ep)
                {
                    if (eq == tcx.EdgeEvent.ConstrainedEdge.Q && ep == tcx.EdgeEvent.ConstrainedEdge.P)
                    {
                        if (tcx.IsDebugEnabled)
                        {
                            Console.WriteLine("[FLIP] - constrained edge done");
                        }
                        t.MarkConstrainedEdge(ep, eq);
                        ot.MarkConstrainedEdge(ep, eq);
                        Legalize(tcx, t);
                        Legalize(tcx, ot);
                    }
                    else
                    {
                        if (tcx.IsDebugEnabled)
                        {
                            Console.WriteLine("[FLIP] - subedge done");
                        }
                    }
                }
                else
                {
                    Orientation o = TriangulationUtil.Orient2d(eq, op, ep);
                    t = NextFlipTriangle(tcx, o, t, ot, p, op);
                    FlipEdgeEvent(tcx, ep, eq, t, p);
                }
            }
            else
            {
                TriangulationPoint newP = null;
                if (NextFlipPoint(ep, eq, ot, op, out newP))
                {
                    FlipScanEdgeEvent(tcx, ep, eq, t, ot, newP);
                    EdgeEvent(tcx, ep, eq, t, p);
                }
            }
        }
Example #7
0
        private static void EdgeEvent(DTSweepContext tcx, TriangulationPoint ep, TriangulationPoint eq, DelaunayTriangle triangle, TriangulationPoint point)
        {
            TriangulationPoint p1, p2;

            if (tcx.IsDebugEnabled)
            {
                tcx.DTDebugContext.PrimaryTriangle = triangle;
            }

            if (IsEdgeSideOfTriangle(triangle, ep, eq))
            {
                return;
            }

            p1 = triangle.PointCCWFrom(point);
            Orientation o1 = TriangulationUtil.Orient2d(eq, p1, ep);

            if (o1 == Orientation.Collinear)
            {
                if (triangle.Contains(eq) && triangle.Contains(p1))
                {
                    triangle.MarkConstrainedEdge(eq, p1);

                    tcx.EdgeEvent.ConstrainedEdge.Q = p1;
                    triangle = triangle.NeighborAcrossFrom(point);
                    EdgeEvent(tcx, ep, p1, triangle, p1);
                }
                else
                {
                    throw new PointOnEdgeException("EdgeEvent - Point on constrained edge not supported yet", ep, eq, p1);
                }
                if (tcx.IsDebugEnabled)
                {
                    Console.WriteLine("EdgeEvent - Point on constrained edge");
                }

                return;
            }

            p2 = triangle.PointCWFrom(point);
            Orientation o2 = TriangulationUtil.Orient2d(eq, p2, ep);

            if (o2 == Orientation.Collinear)
            {
                if (triangle.Contains(eq) && triangle.Contains(p2))
                {
                    triangle.MarkConstrainedEdge(eq, p2);

                    tcx.EdgeEvent.ConstrainedEdge.Q = p2;
                    triangle = triangle.NeighborAcrossFrom(point);
                    EdgeEvent(tcx, ep, p2, triangle, p2);
                }
                else
                {
                    throw new PointOnEdgeException("EdgeEvent - Point on constrained edge not supported yet", ep, eq, p2);
                }
                if (tcx.IsDebugEnabled)
                {
                    Console.WriteLine("EdgeEvent - Point on constrained edge");
                }

                return;
            }

            if (o1 == o2)
            {
                if (o1 == Orientation.CW)
                {
                    triangle = triangle.NeighborCCWFrom(point);
                }
                else
                {
                    triangle = triangle.NeighborCWFrom(point);
                }
                EdgeEvent(tcx, ep, eq, triangle, point);
            }
            else
            {
                FlipEdgeEvent(tcx, ep, eq, triangle, point);
            }
        }