예제 #1
0
        /// <summary>
        /// Scan part of the FlipScan algorithm
        /// When a triangle pair isn't flippable we will scan for the next
        /// point that is inside the flip triangle scan area. When found
        /// we generate a new flipEdgeEvent
        /// </summary>
        /// <param name="tcx"></param>
        /// <param name="ep">last point on the edge we are traversing</param>
        /// <param name="eq">first point on the edge we are traversing</param>
        /// <param name="flipTriangle">the current triangle sharing the point eq with edge</param>
        /// <param name="t"></param>
        /// <param name="p"></param>
        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)
            {
                // If we want to integrate the fillEdgeEvent do it here
                // With current implementation we should never get here
                throw new Exception("[BUG:FIXME] FLIP failed due to missing triangle");
            }

            inScanArea = TriangulationUtil.InScanArea(eq, flipTriangle.PointCCWFrom(eq), flipTriangle.PointCWFrom(eq), op);
            if (inScanArea)
            {
                // flip with new edge op->eq
                FlipEdgeEvent(tcx, eq, op, ot, op);
                // TODO: Actually I just figured out that it should be possible to
                //       improve this by getting the next ot and op before the the above
                //       flip and continue the flipScanEdgeEvent here
                // set new ot and op here and loop back to inScanArea test
                // also need to set a new flipTriangle first
                // Turns out at first glance that this is somewhat complicated
                // so it will have to wait.
            }
            else
            {
                if (NextFlipPoint(ep, eq, ot, op, out newP))
                {
                    FlipScanEdgeEvent(tcx, ep, eq, flipTriangle, ot, newP);
                }
                //newP = NextFlipPoint(ep, eq, ot, op);
            }
        }
예제 #2
0
 public override void AddTriangle(DelaunayTriangle t)
 {
     Triangles.Add(t);
 }
예제 #3
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        /// <summary>
        /// When we need to traverse from one triangle to the next we need
        /// the point in current triangle that is the opposite point to the next
        /// triangle.
        /// </summary>
        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:
                // TODO: implement support for point on constraint edge
                //throw new PointOnEdgeException("Point on constrained edge not supported yet", eq, op, ep);
                return(false);

            default:
                throw new NotImplementedException("Orientation not handled");
            }
        }
예제 #4
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        /// <summary>
        /// After a flip we have two triangles and know that only one will still be
        /// intersecting the edge. So decide which to contiune with and legalize the other
        /// </summary>
        /// <param name="tcx"></param>
        /// <param name="o">should be the result of an TriangulationUtil.orient2d( eq, op, ep )</param>
        /// <param name="t">triangle 1</param>
        /// <param name="ot">triangle 2</param>
        /// <param name="p">a point shared by both triangles</param>
        /// <param name="op">another point shared by both triangles</param>
        /// <returns>returns the triangle still intersecting the edge</returns>
        private static DelaunayTriangle NextFlipTriangle(DTSweepContext tcx, Orientation o, DelaunayTriangle t, DelaunayTriangle ot, TriangulationPoint p, TriangulationPoint op)
        {
            int edgeIndex;

            if (o == Orientation.CCW)
            {
                // ot is not crossing edge after flip
                edgeIndex = ot.EdgeIndex(p, op);
                ot.EdgeIsDelaunay [edgeIndex] = true;
                Legalize(tcx, ot);
                ot.EdgeIsDelaunay.Clear();
                return(t);
            }
            // t is not crossing edge after flip
            edgeIndex = t.EdgeIndex(p, op);
            t.EdgeIsDelaunay [edgeIndex] = true;
            Legalize(tcx, t);
            t.EdgeIsDelaunay.Clear();
            return(ot);
        }
예제 #5
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)
            {
                // If we want to integrate the fillEdgeEvent do it here
                // With current implementation we should never get here
                throw new InvalidOperationException("[BUG:FIXME] FLIP failed due to missing triangle");
            }

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

            if (inScanArea)
            {
                // Lets rotate shared edge one vertex CW
                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)
                    {
                        t.MarkConstrainedEdge(ep, eq);
                        ot.MarkConstrainedEdge(ep, eq);
                        Legalize(tcx, t);
                        Legalize(tcx, ot);
                    }
                    else
                    {
                        // XXX: I think one of the triangles should be legalized here?
                    }
                }
                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);
                }
            }
        }
예제 #6
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        private static void EdgeEvent(DTSweepContext tcx, TriangulationPoint ep, TriangulationPoint eq, DelaunayTriangle triangle, TriangulationPoint point)
        {
            TriangulationPoint p1, p2;


            if (triangle == null)
            {
                return;                 // TODO: Added by Kronnect Games
            }
            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);
                    // We are modifying the constraint maybe it would be better to
                    // not change the given constraint and just keep a variable for the new constraint
                    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);
                }
                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);
                    // We are modifying the constraint maybe it would be better to
                    // not change the given constraint and just keep a variable for the new constraint
                    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);
                }
                return;
            }

            if (o1 == o2)
            {
                // Need to decide if we are rotating CW or CCW to get to a triangle
                // that will cross edge
                if (o1 == Orientation.CW)
                {
                    triangle = triangle.NeighborCCWFrom(point);
                }
                else
                {
                    triangle = triangle.NeighborCWFrom(point);
                }
                EdgeEvent(tcx, ep, eq, triangle, point);
            }
            else
            {
                // This triangle crosses constraint so lets flippin start!
                FlipEdgeEvent(tcx, ep, eq, triangle, point);
            }
        }
예제 #7
0
        /// <summary>
        /// Rotates a triangle pair one vertex CW
        ///       n2                    n2
        ///  P +-----+             P +-----+
        ///    | t  /|               |\  t |
        ///    |   / |               | \   |
        ///  n1|  /  |n3           n1|  \  |n3
        ///    | /   |    after CW   |   \ |
        ///    |/ oT |               | oT \|
        ///    +-----+ oP            +-----+
        ///       n4                    n4
        /// </summary>
        private static void RotateTrianglePair(DelaunayTriangle t, TriangulationPoint p, DelaunayTriangle ot, TriangulationPoint op)
        {
            DelaunayTriangle n1, n2, n3, n4;

            n1 = t.NeighborCCWFrom(p);
            n2 = t.NeighborCWFrom(p);
            n3 = ot.NeighborCCWFrom(op);
            n4 = ot.NeighborCWFrom(op);

            bool ce1, ce2, ce3, ce4;

            ce1 = t.GetConstrainedEdgeCCW(p);
            ce2 = t.GetConstrainedEdgeCW(p);
            ce3 = ot.GetConstrainedEdgeCCW(op);
            ce4 = ot.GetConstrainedEdgeCW(op);

            bool de1, de2, de3, de4;

            de1 = t.GetDelaunayEdgeCCW(p);
            de2 = t.GetDelaunayEdgeCW(p);
            de3 = ot.GetDelaunayEdgeCCW(op);
            de4 = ot.GetDelaunayEdgeCW(op);

            t.Legalize(p, op);
            ot.Legalize(op, p);

            // Remap dEdge
            ot.SetDelaunayEdgeCCW(p, de1);
            t.SetDelaunayEdgeCW(p, de2);
            t.SetDelaunayEdgeCCW(op, de3);
            ot.SetDelaunayEdgeCW(op, de4);

            // Remap cEdge
            ot.SetConstrainedEdgeCCW(p, ce1);
            t.SetConstrainedEdgeCW(p, ce2);
            t.SetConstrainedEdgeCCW(op, ce3);
            ot.SetConstrainedEdgeCW(op, ce4);

            // Remap neighbors
            // XXX: might optimize the markNeighbor by keeping track of
            //      what side should be assigned to what neighbor after the
            //      rotation. Now mark neighbor does lots of testing to find
            //      the right side.
            t.Neighbors.Clear();
            ot.Neighbors.Clear();
            if (n1 != null)
            {
                ot.MarkNeighbor(n1);
            }
            if (n2 != null)
            {
                t.MarkNeighbor(n2);
            }
            if (n3 != null)
            {
                t.MarkNeighbor(n3);
            }
            if (n4 != null)
            {
                ot.MarkNeighbor(n4);
            }
            t.MarkNeighbor(ot);
        }
예제 #8
0
        /// <summary>
        /// Returns true if triangle was legalized
        /// </summary>
        private static bool Legalize(DTSweepContext tcx, DelaunayTriangle t)
        {
            // To legalize a triangle we start by finding if any of the three edges
            // violate the Delaunay condition
            for (int i = 0; i < 3; i++)
            {
                // TODO: fix so that cEdge is always valid when creating new triangles then we can check it here
                //       instead of below with ot
                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 this is a Constrained Edge or a Delaunay Edge(only during recursive legalization)
                // then we should not try to legalize
                if (ot.EdgeIsConstrained [oi] || ot.EdgeIsDelaunay [oi])
                {
                    t.SetConstrainedEdgeAcross(p, ot.EdgeIsConstrained [oi]);                      // XXX: have no good way of setting this property when creating new triangles so lets set it here
                    continue;
                }

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

                // Lets mark this shared edge as Delaunay
                t.EdgeIsDelaunay [i]   = true;
                ot.EdgeIsDelaunay [oi] = true;

                // Lets rotate shared edge one vertex CW to legalize it
                RotateTrianglePair(t, p, ot, op);

                // We now got one valid Delaunay Edge shared by two triangles
                // This gives us 4 new edges to check for Delaunay

                // Make sure that triangle to node mapping is done only one time for a specific triangle
                if (!Legalize(tcx, t))
                {
                    tcx.MapTriangleToNodes(t);
                }
                if (!Legalize(tcx, ot))
                {
                    tcx.MapTriangleToNodes(ot);
                }

                // Reset the Delaunay edges, since they only are valid Delaunay edges
                // until we add a new triangle or point.
                // XXX: need to think about this. Can these edges be tried after we
                //      return to previous recursive level?
                t.EdgeIsDelaunay [i]   = false;
                ot.EdgeIsDelaunay [oi] = false;

                // If triangle have been legalized no need to check the other edges since
                // the recursive legalization will handles those so we can end here.
                return(true);
            }
            return(false);
        }
예제 #9
0
 public void MeshClean(DelaunayTriangle triangle)
 {
     MeshCleanReq(triangle);
 }