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Rewritten half-edge traversal in a more robust way. Includes first medial axis unit test
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4 changed files with 82 additions and 71 deletions
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@ -6,7 +6,11 @@
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#include <map>
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#include <set>
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#include <vector>
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#include "voronoi_visual_utils.hpp"
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//#include "voronoi_visual_utils.hpp"
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#ifdef SLIC3R_DEBUG
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#include "SVG.hpp"
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#endif
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using namespace boost::polygon; // provides also high() and low()
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@ -91,83 +95,67 @@ template void chained_path_items(Points &points, ClipperLib::PolyNodes &items, C
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void
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MedialAxis::build(Polylines* polylines)
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{
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/*
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// build bounding box (we use it for clipping infinite segments)
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// --> we have no infinite segments
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this->bb = BoundingBox(this->lines);
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*/
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construct_voronoi(this->lines.begin(), this->lines.end(), &this->vd);
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// iterate through the diagram by starting from a random edge
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this->edge_cache.clear();
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for (VD::const_edge_iterator edge = this->vd.edges().begin(); edge != this->vd.edges().end(); ++edge)
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this->process_edge(*edge, polylines);
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}
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void
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MedialAxis::process_edge(const VD::edge_type& edge, Polylines* polylines)
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{
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// if we already visited this edge or its twin skip it
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if (this->edge_cache.count(&edge) > 0) return;
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// mark this as already visited
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(void)this->edge_cache.insert(&edge);
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(void)this->edge_cache.insert(edge.twin());
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if (this->is_valid_edge(edge)) {
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Line line = Line(
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Point( edge.vertex0()->x(), edge.vertex0()->y() ),
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Point( edge.vertex1()->x(), edge.vertex1()->y() )
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);
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bool appended = false;
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if (!polylines->empty()) {
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Polyline &last_p = polylines->back();
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if (line.a == last_p.points.back()) {
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// if this line starts where last polyline ends, just append the other point
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last_p.points.push_back(line.b);
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appended = true;
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} else if (line.b == last_p.points.back()) {
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// if this line ends where last polyline ends, just append the other point
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last_p.points.push_back(line.a);
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appended = true;
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}
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}
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if (polylines->empty() || !appended) {
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// start a new polyline
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polylines->push_back(Polyline());
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Polyline &p = polylines->back();
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p.points.push_back(line.a);
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p.points.push_back(line.b);
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}
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// collect valid edges (i.e. prune those not belonging to MAT)
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this->edges.clear();
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for (VD::const_edge_iterator edge = this->vd.edges().begin(); edge != this->vd.edges().end(); ++edge) {
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if (this->is_valid_edge(*edge)) this->edges.insert(&*edge);
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}
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// look for connected edges (on both sides)
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this->process_edge_neighbors(edge, polylines);
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this->process_edge_neighbors(*edge.twin(), polylines);
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// iterate through the valid edges to build polylines
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while (!this->edges.empty()) {
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const VD::edge_type& edge = **this->edges.begin();
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// start a polyline
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Polyline polyline;
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polyline.points.push_back(Point( edge.vertex0()->x(), edge.vertex0()->y() ));
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polyline.points.push_back(Point( edge.vertex1()->x(), edge.vertex1()->y() ));
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// remove this edge and its twin from the available edges
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(void)this->edges.erase(&edge);
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(void)this->edges.erase(edge.twin());
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// get next points
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this->process_edge_neighbors(edge, &polyline.points);
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// get previous points
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Points pp;
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this->process_edge_neighbors(*edge.twin(), &pp);
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polyline.points.insert(polyline.points.begin(), pp.rbegin(), pp.rend());
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// append polyline to result
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polylines->push_back(polyline);
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}
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}
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void
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MedialAxis::process_edge_neighbors(const VD::edge_type& edge, Polylines* polylines)
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MedialAxis::process_edge_neighbors(const VD::edge_type& edge, Points* points)
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{
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// Since rot_next() works on the edge starting point but we want
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// to find neighbors on the ending point, we just swap edge with
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// its twin.
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const VD::edge_type& twin = *edge.twin();
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// count neighbors for this edge
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std::vector<const VD::edge_type*> neighbors;
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for (const VD::edge_type* neighbor = edge.rot_next(); neighbor != &edge; neighbor = neighbor->rot_next()) {
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// skip already seen edges
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if (this->edge_cache.count(neighbor) > 0) continue;
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// skip edges that we wouldn't include in the MAT anyway
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if (!this->is_valid_edge(*neighbor)) continue;
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neighbors.push_back(neighbor);
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for (const VD::edge_type* neighbor = twin.rot_next(); neighbor != &twin; neighbor = neighbor->rot_next()) {
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if (this->edges.count(neighbor) > 0) neighbors.push_back(neighbor);
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}
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// process neighbors recursively
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// if we have a single neighbor then we can continue recursively
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if (neighbors.size() == 1) {
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this->process_edge(*neighbors.front(), polylines);
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} else if (neighbors.size() > 1) {
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// close current polyline and start a new one for each branch
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for (std::vector<const VD::edge_type*>::const_iterator neighbor = neighbors.begin(); neighbor != neighbors.end(); ++neighbor) {
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Polylines pp;
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this->process_edge(**neighbor, &pp);
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polylines->insert(polylines->end(), pp.begin(), pp.end());
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}
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const VD::edge_type& neighbor = *neighbors.front();
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points->push_back(Point( neighbor.vertex1()->x(), neighbor.vertex1()->y() ));
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(void)this->edges.erase(&neighbor);
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(void)this->edges.erase(neighbor.twin());
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this->process_edge_neighbors(neighbor, points);
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}
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}
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@ -199,6 +187,7 @@ MedialAxis::is_valid_edge(const VD::edge_type& edge) const
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return true;
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}
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/*
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void
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MedialAxis::clip_infinite_edge(const voronoi_diagram<double>::edge_type& edge, Points* clipped_edge)
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{
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@ -266,6 +255,7 @@ MedialAxis::sample_curved_edge(const voronoi_diagram<double>::edge_type& edge, P
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double max_dist = 1E-3 * this->bb.size().x;
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voronoi_visual_utils<double>::discretize<coord_t,coord_t,Point,Line>(point, segment, max_dist, sampled_edge);
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}
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*/
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Point
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MedialAxis::retrieve_point(const voronoi_diagram<double>::cell_type& cell)
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