private static void ExportToSVG(DGraph2 input, DGraph2 minGraph, DGraph2 pathGraph)
{
SVGWriter writer = new SVGWriter();
writer.AddGraph(input, SVGWriter.Style.Outline("blue", 0.1f));
writer.AddGraph(minGraph, SVGWriter.Style.Outline("red", 0.1f));
foreach (int eid in minGraph.EdgeIndices())
{
if (minGraph.GetEdgeGroup(eid) >= 0)
{
writer.AddLine(minGraph.GetEdgeSegment(eid), SVGWriter.Style.Outline("green", 0.07f));
}
}
writer.AddGraph(pathGraph, SVGWriter.Style.Outline("black", 0.03f));
foreach (int vid in pathGraph.VertexIndices())
{
if (pathGraph.IsBoundaryVertex(vid))
{
writer.AddCircle(new Circle2d(pathGraph.GetVertex(vid), 0.5f), SVGWriter.Style.Outline("blue", 0.03f));
}
}
writer.Write("MIN_GRAPH.svg");
}
private static DGraph2 CreateMinGraph(DGraph2 input, int NV, out Dictionary <int, List <int> > minEdgePaths, out DVector <double> edgeWeights)
{
/*
* OK, as input we have a graph of our original polygon and a bunch of inserted
* segments ("spans"). Orig polygon segments have gid < 0, and span segments >= 0.
* However between polygon/span junctions, we have an arbitrary # of polygon edges.
* So first step is to simplify these to single-edge "connectors", in new graph MinGraph.
* the [connector-edge, path] mappings (if pathlen > 1) are stored in MinEdgePaths
* We also store a weight for each connector edge in EdgeWeights (just distance for now)
*/
var minGraph = new DGraph2();
minEdgePaths = new Dictionary <int, List <int> >();
edgeWeights = new DVector <double>();
edgeWeights.resize(NV);
BitArray done_edge = new BitArray(input.MaxEdgeID); // we should see each edge twice, this avoids repetition
// vertex map from input graph to MinGraph
int[] MapV = new int[NV];
for (int i = 0; i < NV; ++i)
{
MapV[i] = -1;
}
for (int a = 0; a < NV; ++a)
{
if (input.IsVertex(a) == false || input.IsJunctionVertex(a) == false)
{
continue;
}
if (MapV[a] == -1)
{
MapV[a] = minGraph.AppendVertex(input.GetVertex(a));
}
foreach (int eid in input.VtxEdgesItr(a))
{
if (done_edge[eid])
{
continue;
}
Index2i ev = input.GetEdgeV(eid);
int b = (ev.a == a) ? ev.b : ev.a;
if (input.IsJunctionVertex(b))
{
// if we have junction/juntion connection, we can just copy this edge to MinGraph
if (MapV[b] == -1)
{
MapV[b] = minGraph.AppendVertex(input.GetVertex(b));
}
int gid = input.GetEdgeGroup(eid);
int existing = minGraph.FindEdge(MapV[a], MapV[b]);
if (existing == DMesh3.InvalidID)
{
int new_eid = minGraph.AppendEdge(MapV[a], MapV[b], gid);
double path_len = input.GetEdgeSegment(eid).Length;
edgeWeights.insertAt(path_len, new_eid);
}
else
{
// we may have inserted this edge already in the simplify branch, this happens eg at the
// edge of a circle where the minimal path is between the same vertices as the segment.
// But if this is also a fill edge, we want to treat it that way (determind via positive gid)
if (gid >= 0)
{
minGraph.SetEdgeGroup(existing, gid);
}
}
}
else
{
// not a junction - walk until we find other vtx, and add single edge to MinGraph
List <int> path = DGraph2Util.WalkToNextNonRegularVtx(input, a, eid);
if (path == null || path.Count < 2)
{
throw new Exception("build_min_graph: invalid walk!");
}
int c = path[path.Count - 1];
// it is somehow possible to get loops...
if (c == a)
{
goto skip_this_edge;
}
if (MapV[c] == -1)
{
MapV[c] = minGraph.AppendVertex(input.GetVertex(c));
}
if (minGraph.FindEdge(MapV[a], MapV[c]) == DMesh3.InvalidID)
{
int new_eid = minGraph.AppendEdge(MapV[a], MapV[c], -2);
path.Add(MapV[a]); path.Add(MapV[c]);
minEdgePaths[new_eid] = path;
double path_len = DGraph2Util.PathLength(input, path);
edgeWeights.insertAt(path_len, new_eid);
}
}
skip_this_edge:
done_edge[eid] = true;
}
}
return(minGraph);
}
/// <summary>
/// Assumption is that input graph is a polygon with inserted ray-spans. We want to
/// find a set of paths (ie no junctions) that cover all the spans, and travel between
/// adjacent spans along edges of the input polygon.
/// </summary>
protected DGraph2 BuildPathGraph(DGraph2 input)
{
int NV = input.MaxVertexID;
/*
* OK, as input we have a graph of our original polygon and a bunch of inserted
* segments ("spans"). Orig polygon segments have gid < 0, and span segments >= 0.
* However between polygon/span junctions, we have an arbitrary # of polygon edges.
* So first step is to simplify these to single-edge "connectors", in new graph MinGraph.
* the [connector-edge, path] mappings (if pathlen > 1) are stored in MinEdgePaths
* We also store a weight for each connector edge in EdgeWeights (just distance for now)
*/
DGraph2 MinGraph = new DGraph2();
Dictionary <int, List <int> > MinEdgePaths = new Dictionary <int, List <int> >();
DVector <double> EdgeWeights = new DVector <double>(); EdgeWeights.resize(NV);
BitArray done_edge = new BitArray(input.MaxEdgeID); // we should see each edge twice, this avoids repetition
// vertex map from input graph to MinGraph
int[] MapV = new int[NV];
for (int i = 0; i < NV; ++i)
{
MapV[i] = -1;
}
for (int a = 0; a < NV; ++a)
{
if (input.IsVertex(a) == false || input.IsJunctionVertex(a) == false)
{
continue;
}
if (MapV[a] == -1)
{
MapV[a] = MinGraph.AppendVertex(input.GetVertex(a));
}
foreach (int eid in input.VtxEdgesItr(a))
{
if (done_edge[eid])
{
continue;
}
Index2i ev = input.GetEdgeV(eid);
int b = (ev.a == a) ? ev.b : ev.a;
if (input.IsJunctionVertex(b))
{
// if we have junction/juntion connection, we can just copy this edge to MinGraph
if (MapV[b] == -1)
{
MapV[b] = MinGraph.AppendVertex(input.GetVertex(b));
}
int gid = input.GetEdgeGroup(eid);
int existing = MinGraph.FindEdge(MapV[a], MapV[b]);
if (existing == DMesh3.InvalidID)
{
int new_eid = MinGraph.AppendEdge(MapV[a], MapV[b], gid);
double path_len = input.GetEdgeSegment(eid).Length;
EdgeWeights.insertAt(path_len, new_eid);
}
else
{
// we may have inserted this edge already in the simplify branch, this happens eg at the
// edge of a circle where the minimal path is between the same vertices as the segment.
// But if this is also a fill edge, we want to treat it that way (determind via positive gid)
if (gid >= 0)
{
MinGraph.SetEdgeGroup(existing, gid);
}
}
}
else
{
// not a junction - walk until we find other vtx, and add single edge to MinGraph
List <int> path = DGraph2Util.WalkToNextNonRegularVtx(input, a, eid);
if (path == null || path.Count < 2)
{
throw new Exception("build_min_graph: invalid walk!");
}
int c = path[path.Count - 1];
// it is somehow possible to get loops...
if (c == a)
{
goto skip_this_edge;
}
if (MapV[c] == -1)
{
MapV[c] = MinGraph.AppendVertex(input.GetVertex(c));
}
if (MinGraph.FindEdge(MapV[a], MapV[c]) == DMesh3.InvalidID)
{
int new_eid = MinGraph.AppendEdge(MapV[a], MapV[c], -2);
path.Add(MapV[a]); path.Add(MapV[c]);
MinEdgePaths[new_eid] = path;
double path_len = DGraph2Util.PathLength(input, path);
EdgeWeights.insertAt(path_len, new_eid);
}
}
skip_this_edge:
done_edge[eid] = true;
}
}
// [TODO] filter MinGraph to remove invalid connectors
// - can a connector between two connectors happen? that would be bad.
/// - connector that is too close to paths should be ignored (ie avoid collisions)
/*
* Now that we have MinGraph, we can easily walk between the spans because
* they are connected by at most one edge. To find a sequence of spans, we
* pick one to start, then walk along connectors, discarding as we go,
* so that we don't pass through these vertices again. Repeat until
* there are no remaining spans.
*/
// [TODO]
// do we actually have to delete from MinGraph? this prevents us from doing
// certain things, like trying different options. Maybe could use a hash for
// remaining vertices and edges instead?
DGraph2 PathGraph = new DGraph2();
Vector2d sortAxis = Vector2d.FromAngleDeg(AngleDeg).Perp;
while (true)
{
// find most extreme edge to start at
// [TODO] could use segment gid here as we set them based on insertion span!
// [TODO] could use a smarter metric? like, closest to previous last endpoint? Using
// extrema like this tends to produce longest spans, though...
double min_dot = double.MaxValue;
int start_eid = -1;
foreach (int eid in MinGraph.EdgeIndices())
{
Index3i evg = MinGraph.GetEdge(eid);
if (evg.c >= 0)
{
double dot = MinGraph.GetVertex(evg.a).Dot(sortAxis);
if (dot < min_dot)
{
min_dot = dot;
start_eid = eid;
}
}
}
if (start_eid == -1)
{
break; // if we could not find a start edge, we must be done!
}
// ok now walk forward through connectors and spans. We do this in
// connector/span pairs - we are always at an end-of-span point, and
// we pick a next-connector and then a next-span.
// We need to keep track of vertices in both the pathgraph and mingraph,
// these are the "new" and "old" vertices
Index3i start_evg = MinGraph.GetEdge(start_eid);
int new_start = PathGraph.AppendVertex(MinGraph.GetVertex(start_evg.a));
int new_prev = PathGraph.AppendVertex(MinGraph.GetVertex(start_evg.b));
int old_prev = start_evg.b;
PathGraph.AppendEdge(new_start, new_prev, start_evg.c);
MinGraph.RemoveVertex(start_evg.a, true);
while (true)
{
// choose next connector edge, outgoing from current vtx
int connector_e = -1;
foreach (int eid in MinGraph.VtxEdgesItr(old_prev))
{
Index3i evg = MinGraph.GetEdge(eid);
if (evg.c >= 0)
{
continue; // what??
}
if (connector_e == -1 || EdgeWeights[connector_e] > EdgeWeights[eid])
{
connector_e = eid;
}
}
if (connector_e == -1)
{
break;
}
// find the vertex at end of connector
Index3i conn_evg = MinGraph.GetEdge(connector_e);
int old_conn_v = (conn_evg.a == old_prev) ? conn_evg.b : conn_evg.a;
// can never look at prev vertex again, or any edges connected to it
// [TODO] are we sure none of these edges are unused spans?!?
MinGraph.RemoveVertex(old_prev, true);
// now find outgoing span edge
int span_e = -1;
foreach (int eid in MinGraph.VtxEdgesItr(old_conn_v))
{
Index3i evg = MinGraph.GetEdge(eid);
if (evg.c >= 0)
{
span_e = eid;
break;
}
}
if (span_e == -1)
{
break; // disaster!
}
// find vertex at far end of span
Index3i span_evg = MinGraph.GetEdge(span_e);
int old_span_v = (span_evg.a == old_conn_v) ? span_evg.b : span_evg.a;
// ok we want to insert the connectr to the path graph, however the
// connector might actually have come from a more complex path in the input graph.
int new_conn_next = -1;
if (MinEdgePaths.ContainsKey(connector_e))
{
// complex path case. Note that the order [old_prev, old_conn_v] may be the opposite
// of the order in the pathv. But above, we appended the [a,b] edge order to the pathv.
// So we can check if we need to flip, but this means we need to be a bit clever w/ indices...
List <int> pathv = MinEdgePaths[connector_e];
int N = pathv.Count;
int path_prev = new_prev;
int k = 1;
if (pathv[N - 2] != old_prev) // case where order flipped
{
pathv.Reverse();
k = 3;
}
else
{
N = N - 2;
}
while (k < N)
{
int path_next = PathGraph.AppendVertex(input.GetVertex(pathv[k]));
PathGraph.AppendEdge(path_prev, path_next);
path_prev = path_next;
k++;
}
new_conn_next = path_prev;
}
else
{
new_conn_next = PathGraph.AppendVertex(MinGraph.GetVertex(old_conn_v));
PathGraph.AppendEdge(new_prev, new_conn_next, conn_evg.c);
}
// add span to path
int new_fill_next = PathGraph.AppendVertex(MinGraph.GetVertex(old_span_v));
PathGraph.AppendEdge(new_conn_next, new_fill_next, span_evg.c);
// remove the connector vertex
MinGraph.RemoveVertex(old_conn_v, true);
// next iter starts at far end of span
new_prev = new_fill_next;
old_prev = old_span_v;
}
sortAxis = -sortAxis;
}
// for testing/debugging
//SVGWriter writer = new SVGWriter();
////writer.AddGraph(input, SVGWriter.Style.Outline("blue", 0.1f));
//writer.AddGraph(MinGraph, SVGWriter.Style.Outline("red", 0.1f));
////foreach ( int eid in MinGraph.EdgeIndices() ) {
//// if ( MinGraph.GetEdgeGroup(eid) >= 0 ) writer.AddLine(MinGraph.GetEdgeSegment(eid), SVGWriter.Style.Outline("green", 0.07f));
////}
////writer.AddGraph(MinGraph, SVGWriter.Style.Outline("black", 0.03f));
//writer.AddGraph(PathGraph, SVGWriter.Style.Outline("black", 0.03f));
//foreach (int vid in PathGraph.VertexIndices()) {
// if (PathGraph.IsBoundaryVertex(vid))
// writer.AddCircle(new Circle2d(PathGraph.GetVertex(vid), 0.5f), SVGWriter.Style.Outline("blue", 0.03f));
//}
////writer.AddGraph(IntervalGraph, SVGWriter.Style.Outline("black", 0.03f));
//writer.Write("c:\\scratch\\MIN_GRAPH.svg");
return(PathGraph);
}
private FillCurveSet2d WalkPathGraph(DGraph2 pathGraph)
{
var boundaries = IdentifyBoundaryHashSet(pathGraph);
var paths = new FillCurveSet2d();
// walk paths from boundary vertices
while (boundaries.Count > 0)
{
int start_vid = boundaries.First();
boundaries.Remove(start_vid);
int vid = start_vid;
int eid = pathGraph.GetVtxEdges(vid)[0];
var path = new FillCurve <FillSegment>()
{
FillType = this.FillType
};
path.BeginCurve(pathGraph.GetVertex(vid));
while (true)
{
Index2i next = DGraph2Util.NextEdgeAndVtx(eid, vid, pathGraph);
eid = next.a;
vid = next.b;
int gid = pathGraph.GetEdgeGroup(eid);
if (gid < 0)
{
path.AddToCurve(pathGraph.GetVertex(vid), new FillSegment(true));
}
else
{
path.AddToCurve(pathGraph.GetVertex(vid));
}
if (boundaries.Contains(vid))
{
boundaries.Remove(vid);
break;
}
}
// discard paths that are too short
if (path.TotalLength() < MinPathLengthMM)
{
continue;
}
// run polyline simplification to get rid of unneccesary detail in connectors
// [TODO] we could do this at graph level...)
// [TODO] maybe should be checking for collisions? we could end up creating
// non-trivial overlaps here...
if (SimplifyAmount != SimplificationLevel.None && path.Elements.Count > 1)
{
path = SimplifyPath(path);
}
paths.Append(path);
}
return(paths);
}
/// <summary>
/// fill poly w/ adjacent straight line segments, connected by connectors
/// </summary>
protected FillCurveSet2d ComputeFillPaths(GeneralPolygon2d poly)
{
FillCurveSet2d paths = new FillCurveSet2d();
// smooth the input poly a little bit, this simplifies the filling
// (simplify after?)
//GeneralPolygon2d smoothed = poly.Duplicate();
//CurveUtils2.LaplacianSmoothConstrained(smoothed, 0.5, 5, ToolWidth / 2, true, false);
//poly = smoothed;
// compute 2D non-manifold graph consisting of original polygon and
// inserted line segments
DGraph2 spanGraph = ComputeSpanGraph(poly);
if (spanGraph == null || spanGraph.VertexCount == poly.VertexCount)
{
return(paths);
}
DGraph2 pathGraph = BuildPathGraph(spanGraph);
// filter out self-overlaps from graph
if (FilterSelfOverlaps)
{
PathOverlapRepair repair = new PathOverlapRepair(pathGraph);
repair.OverlapRadius = ToolWidth * SelfOverlapToolWidthX;
repair.PreserveEdgeFilterF = (eid) => {
return(repair.Graph.GetEdgeGroup(eid) > 0);
};
repair.Compute();
pathGraph = repair.GetResultGraph();
}
HashSet <int> boundaries = new HashSet <int>();
foreach (int vid in pathGraph.VertexIndices())
{
if (pathGraph.IsBoundaryVertex(vid))
{
boundaries.Add(vid);
}
if (pathGraph.IsJunctionVertex(vid))
{
throw new Exception("DenseLinesFillPolygon: PathGraph has a junction???");
}
}
// walk paths from boundary vertices
while (boundaries.Count > 0)
{
int start_vid = boundaries.First();
boundaries.Remove(start_vid);
int vid = start_vid;
int eid = pathGraph.GetVtxEdges(vid)[0];
FillPolyline2d path = new FillPolyline2d()
{
TypeFlags = this.TypeFlags
};
path.AppendVertex(pathGraph.GetVertex(vid));
while (true)
{
Index2i next = DGraph2Util.NextEdgeAndVtx(eid, vid, pathGraph);
eid = next.a;
vid = next.b;
int gid = pathGraph.GetEdgeGroup(eid);
if (gid < 0)
{
path.AppendVertex(pathGraph.GetVertex(vid), TPVertexFlags.IsConnector);
}
else
{
path.AppendVertex(pathGraph.GetVertex(vid));
}
if (boundaries.Contains(vid))
{
boundaries.Remove(vid);
break;
}
}
// discard paths that are too short
if (path.ArcLength < MinPathLengthMM)
{
continue;
}
// run polyline simplification to get rid of unneccesary detail in connectors
// [TODO] we could do this at graph level...)
// [TODO] maybe should be checkign for collisions? we could end up creating
// non-trivial overlaps here...
if (SimplifyAmount != SimplificationLevel.None && path.VertexCount > 2)
{
PolySimplification2 simp = new PolySimplification2(path);
switch (SimplifyAmount)
{
default:
case SimplificationLevel.Minor:
simp.SimplifyDeviationThreshold = ToolWidth / 4; break;
case SimplificationLevel.Aggressive:
simp.SimplifyDeviationThreshold = ToolWidth; break;
case SimplificationLevel.Moderate:
simp.SimplifyDeviationThreshold = ToolWidth / 2; break;
}
simp.Simplify();
path = new FillPolyline2d(simp.Result.ToArray())
{
TypeFlags = this.TypeFlags
};
}
paths.Append(path);
}
// Check to make sure that we are not putting way too much material in the
// available volume. Computes extrusion volume from path length and if the
// ratio is too high, scales down the path thickness
// TODO: do we need to compute volume? If we just divide everything by
// height we get the same scaling, no? Then we don't need layer height.
if (MaxOverfillRatio > 0)
{
throw new NotImplementedException("this is not finished yet");
#if false
double LayerHeight = 0.2; // AAAHHH hardcoded nonono
double len = paths.TotalLength();
double extrude_vol = ExtrusionMath.PathLengthToVolume(LayerHeight, ToolWidth, len);
double polygon_vol = LayerHeight * Math.Abs(poly.Area);
double ratio = extrude_vol / polygon_vol;
if (ratio > MaxOverfillRatio && PathSpacing == ToolWidth)
{
double use_width = ExtrusionMath.WidthFromTargetVolume(LayerHeight, len, polygon_vol);
//System.Console.WriteLine("Extrusion volume: {0} PolyVolume: {1} % {2} ScaledWidth: {3}",
//extrude_vol, polygon_vol, extrude_vol / polygon_vol, use_width);
foreach (var path in paths.Curves)
{
path.CustomThickness = use_width;
}
}
#endif
}
return(paths);
}