/// <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.EdgeIsConstrained[i] = 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); }