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More refactoring to medial axis and gap fill, more robust
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parent
b068616366
commit
9e8022f6f6
13 changed files with 133 additions and 58 deletions
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@ -324,7 +324,7 @@ MedialAxis::build(ThickPolylines* polylines)
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if (edge->is_secondary() || edge->is_infinite()) continue;
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// don't re-validate twins
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if (seen_edges.find(&*edge) != seen_edges.end()) continue;
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if (seen_edges.find(&*edge) != seen_edges.end()) continue; // TODO: is this needed?
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seen_edges.insert(&*edge);
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seen_edges.insert(edge->twin());
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@ -445,49 +445,66 @@ MedialAxis::validate_edge(const VD::edge_type* edge)
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}
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// retrieve the original line segments which generated the edge we're checking
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const VD::cell_type* cell1 = edge->cell();
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const VD::cell_type* cell2 = edge->twin()->cell();
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const Line &segment1 = this->retrieve_segment(cell1);
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const Line &segment2 = this->retrieve_segment(cell2);
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const VD::cell_type* cell_l = edge->cell();
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const VD::cell_type* cell_r = edge->twin()->cell();
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const Line &segment_l = this->retrieve_segment(cell_l);
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const Line &segment_r = this->retrieve_segment(cell_r);
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/* Calculate thickness of the section at both the endpoints of this edge.
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Our Voronoi edge is part of a CCW sequence going around its Voronoi cell
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(segment1). This edge's twin goes around segment2. Thus, segment2 is
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oriented in the same direction as our main edge, and segment1 is oriented
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/*
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SVG svg("edge.svg");
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svg.draw(*this->expolygon);
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svg.draw(line);
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svg.draw(segment_l, "red");
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svg.draw(segment_r, "blue");
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svg.Close();
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*/
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/* Calculate thickness of the cross-section at both the endpoints of this edge.
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Our Voronoi edge is part of a CCW sequence going around its Voronoi cell
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located on the left side. (segment_l).
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This edge's twin goes around segment_r. Thus, segment_r is
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oriented in the same direction as our main edge, and segment_l is oriented
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in the same direction as our twin edge.
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We used to only consider the (half-)distances to segment2, and that works
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whenever segment1 and segment2 are almost specular and facing. However,
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We used to only consider the (half-)distances to segment_r, and that works
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whenever segment_l and segment_r are almost specular and facing. However,
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at curves they are staggered and they only face for a very little length
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(such visibility actually coincides with our very short edge). This is why
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we calculate w0 and w1 this way.
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When cell1 or cell2 don't refer to the segment but only to an endpoint, we
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(our very short edge represents such visibility).
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Both w0 and w1 can be calculated either towards cell_l or cell_r with equal
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results by Voronoi definition.
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When cell_l or cell_r don't refer to the segment but only to an endpoint, we
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calculate the distance to that endpoint instead. */
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coordf_t w0 = cell2->contains_segment()
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? line.a.perp_distance_to(segment2)*2
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: line.a.distance_to(this->retrieve_endpoint(cell2))*2;
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coordf_t w0 = cell_r->contains_segment()
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? line.a.distance_to(segment_r)*2
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: line.a.distance_to(this->retrieve_endpoint(cell_r))*2;
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coordf_t w1 = cell1->contains_segment()
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? line.b.perp_distance_to(segment1)*2
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: line.b.distance_to(this->retrieve_endpoint(cell1))*2;
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coordf_t w1 = cell_l->contains_segment()
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? line.b.distance_to(segment_l)*2
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: line.b.distance_to(this->retrieve_endpoint(cell_l))*2;
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// if this edge is the centerline for a very thin area, we might want to skip it
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// in case the area is too thin
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if (w0 < SCALED_EPSILON || w1 < SCALED_EPSILON) {
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if (cell1->contains_segment() && cell2->contains_segment()) {
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// calculate the relative angle between the two boundary segments
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double angle = fabs(segment2.orientation() - segment1.orientation());
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if (cell_l->contains_segment() && cell_r->contains_segment()) {
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// calculate the relative angle between the two boundary segments
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double angle = fabs(segment_r.orientation() - segment_l.orientation());
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if (angle > PI) angle = 2*PI - angle;
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assert(angle >= 0 && angle <= PI);
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// fabs(angle) ranges from 0 (collinear, same direction) to PI (collinear, opposite direction)
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// we're interested only in segments close to the second case (facing segments)
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// so we allow some tolerance.
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// this filter ensures that we're dealing with a narrow/oriented area (longer than thick)
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// we don't run it on edges not generated by two segments (thus generated by one segment
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// and the endpoint of another segment), since their orientation would not be meaningful
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if (PI - angle > PI/8) {
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// angle is not narrow enough
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// fabs(angle) ranges from 0 (collinear, same direction) to PI (collinear, opposite direction)
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// we're interested only in segments close to the second case (facing segments)
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// so we allow some tolerance.
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// this filter ensures that we're dealing with a narrow/oriented area (longer than thick)
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// we don't run it on edges not generated by two segments (thus generated by one segment
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// and the endpoint of another segment), since their orientation would not be meaningful
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if (fabs(angle - PI) > PI/5) return false;
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} else {
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return false;
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// only apply this filter to segments that are not too short otherwise their
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// angle could possibly be not meaningful
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if (w0 < SCALED_EPSILON || w1 < SCALED_EPSILON || line.length() >= this->min_width)
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return false;
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}
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} else {
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if (w0 < SCALED_EPSILON || w1 < SCALED_EPSILON)
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return false;
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}
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if (w0 < this->min_width && w1 < this->min_width)
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