More refactoring to medial axis and gap fill, more robust
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parent
b068616366
commit
9e8022f6f6
19
t/thin.t
19
t/thin.t
@ -1,4 +1,4 @@
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use Test::More tests => 21;
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use Test::More tests => 23;
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use strict;
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use warnings;
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@ -8,7 +8,7 @@ BEGIN {
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}
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use Slic3r;
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use List::Util qw(first sum);
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use List::Util qw(first sum none);
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use Slic3r::Geometry qw(epsilon scale unscale scaled_epsilon Y);
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use Slic3r::Test;
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@ -91,7 +91,20 @@ if (0) {
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is scalar(@$res), 1, 'medial axis of a narrow rectangle with an extra vertex is still a single line';
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ok unscale($res->[0]->length) >= (200-100 - (120-100)) - epsilon, 'medial axis has still a reasonable length';
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ok !(grep { abs($_ - scale 150) < scaled_epsilon } map $_->[Y], map @$_, @$res2), "extra vertices don't influence medial axis";
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}
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{
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my $expolygon = Slic3r::ExPolygon->new(
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Slic3r::Polygon->new([1185881,829367],[1421988,1578184],[1722442,2303558],[2084981,2999998],[2506843,3662186],[2984809,4285086],[3515250,4863959],[4094122,5394400],[4717018,5872368],[5379210,6294226],[6075653,6656769],[6801033,6957229],[7549842,7193328],[8316383,7363266],[9094809,7465751],[9879211,7500000],[10663611,7465750],[11442038,7363265],[12208580,7193327],[12957389,6957228],[13682769,6656768],[14379209,6294227],[15041405,5872366],[15664297,5394401],[16243171,4863960],[16758641,4301424],[17251579,3662185],[17673439,3000000],[18035980,2303556],[18336441,1578177],[18572539,829368],[18750748,0],[19758422,0],[19727293,236479],[19538467,1088188],[19276136,1920196],[18942292,2726179],[18539460,3499999],[18070731,4235755],[17539650,4927877],[16950279,5571067],[16307090,6160437],[15614974,6691519],[14879209,7160248],[14105392,7563079],[13299407,7896927],[12467399,8159255],[11615691,8348082],[10750769,8461952],[9879211,8500000],[9007652,8461952],[8142729,8348082],[7291022,8159255],[6459015,7896927],[5653029,7563079],[4879210,7160247],[4143447,6691519],[3451331,6160437],[2808141,5571066],[2218773,4927878],[1687689,4235755],[1218962,3499999],[827499,2748020],[482284,1920196],[219954,1088186],[31126,236479],[0,0],[1005754,0]),
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);
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my $res = $expolygon->medial_axis(scale 1.324888, scale 0.25);
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is scalar(@$res), 1, 'medial axis of a semicircumference is a single line';
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# check whether turns are all CCW or all CW
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my @lines = @{$res->[0]->lines};
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my @angles = map { $lines[$_-1]->ccw($lines[$_]->b) } 1..$#lines;
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ok !!(none { $_ < 0 } @angles) || (none { $_ > 0 } @angles),
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'all medial axis segments of a semicircumference have the same orientation';
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}
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{
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@ -136,7 +149,7 @@ if (0) {
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{
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my $expolygon = Slic3r::ExPolygon->new(Slic3r::Polygon->new_scale(
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[50, 100],
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[300, 102],
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[1000, 102],
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[50, 104],
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));
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my $res = $expolygon->medial_axis(scale 4, scale 0.5);
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@ -174,17 +174,10 @@ void
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ExPolygon::medial_axis(double max_width, double min_width, ThickPolylines* polylines) const
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{
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// init helper object
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Slic3r::Geometry::MedialAxis ma(max_width, min_width);
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ma.expolygon = this;
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Slic3r::Geometry::MedialAxis ma(max_width, min_width, this);
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ma.lines = this->lines();
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// populate list of segments for the Voronoi diagram
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ma.lines = this->contour.lines();
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for (Polygons::const_iterator hole = this->holes.begin(); hole != this->holes.end(); ++hole) {
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Lines lines = hole->lines();
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ma.lines.insert(ma.lines.end(), lines.begin(), lines.end());
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}
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// compute the Voronoi diagram
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// compute the Voronoi diagram and extract medial axis polylines
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ThickPolylines pp;
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ma.build(&pp);
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@ -195,15 +188,14 @@ ExPolygon::medial_axis(double max_width, double min_width, ThickPolylines* polyl
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svg.Close();
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*/
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// find the maximum width returned
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/* Find the maximum width returned; we're going to use this for validating and
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filtering the output segments. */
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double max_w = 0;
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if (!pp.empty()) {
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std::vector<double> widths;
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for (ThickPolylines::const_iterator it = pp.begin(); it != pp.end(); ++it)
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widths.insert(widths.end(), it->width.begin(), it->width.end());
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max_w = *std::max_element(widths.begin(), widths.end());
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}
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for (ThickPolylines::const_iterator it = pp.begin(); it != pp.end(); ++it)
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max_w = fmaxf(max_w, *std::max_element(it->width.begin(), it->width.end()));
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/* Loop through all returned polylines in order to extend their endpoints to the
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expolygon boundaries */
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bool removed = false;
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for (size_t i = 0; i < pp.size(); ++i) {
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ThickPolyline& polyline = pp[i];
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@ -502,4 +494,15 @@ ExPolygon::lines() const
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return lines;
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}
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std::string
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ExPolygon::dump_perl() const
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{
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std::ostringstream ret;
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ret << "[" << this->contour.dump_perl();
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for (Polygons::const_iterator h = this->holes.begin(); h != this->holes.end(); ++h)
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ret << "," << h->dump_perl();
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ret << "]";
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return ret.str();
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}
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}
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@ -42,6 +42,7 @@ class ExPolygon
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void triangulate_pp(Polygons* polygons) const;
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void triangulate_p2t(Polygons* polygons) const;
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Lines lines() const;
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std::string dump_perl() const;
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};
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}
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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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@ -46,8 +46,8 @@ class MedialAxis {
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const ExPolygon* expolygon;
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double max_width;
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double min_width;
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MedialAxis(double _max_width, double _min_width)
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: max_width(_max_width), min_width(_min_width), expolygon(NULL) {};
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MedialAxis(double _max_width, double _min_width, const ExPolygon* _expolygon = NULL)
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: max_width(_max_width), min_width(_min_width), expolygon(_expolygon) {};
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void build(ThickPolylines* polylines);
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void build(Polylines* polylines);
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@ -212,6 +212,12 @@ Line::intersection(const Line& line, Point* intersection) const
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return false; // not intersecting
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}
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double
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Line::ccw(const Point& point) const
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{
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return point.ccw(*this);
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}
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Pointf3
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Linef3::intersect_plane(double z) const
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{
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@ -44,6 +44,7 @@ class Line
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void extend_end(double distance);
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void extend_start(double distance);
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bool intersection(const Line& line, Point* intersection) const;
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double ccw(const Point& point) const;
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};
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class ThickLine : public Line
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@ -128,6 +128,19 @@ MultiPoint::intersection(const Line& line, Point* intersection) const
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return false;
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}
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std::string
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MultiPoint::dump_perl() const
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{
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std::ostringstream ret;
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ret << "[";
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for (Points::const_iterator p = this->points.begin(); p != this->points.end(); ++p) {
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ret << p->dump_perl();
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if (p != this->points.end()-1) ret << ",";
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}
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ret << "]";
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return ret.str();
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}
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Points
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MultiPoint::_douglas_peucker(const Points &points, const double tolerance)
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{
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@ -37,6 +37,7 @@ class MultiPoint
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void append(const Points &points);
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void append(const Points::const_iterator &begin, const Points::const_iterator &end);
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bool intersection(const Line& line, Point* intersection) const;
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std::string dump_perl() const;
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static Points _douglas_peucker(const Points &points, const double tolerance);
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};
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@ -92,7 +92,7 @@ PerimeterGenerator::process()
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// the following offset2 ensures almost nothing in @thin_walls is narrower than $min_width
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// (actually, something larger than that still may exist due to mitering or other causes)
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coord_t min_width = scale_(this->ext_perimeter_flow.nozzle_diameter / 2);
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coord_t min_width = scale_(this->ext_perimeter_flow.nozzle_diameter / 3);
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ExPolygons expp = offset2_ex(diffpp, -min_width/2, +min_width/2);
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// the maximum thickness of our thin wall area is equal to the minimum thickness of a single loop
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@ -26,6 +26,14 @@ Point::wkt() const
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return ss.str();
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}
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std::string
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Point::dump_perl() const
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{
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std::ostringstream ss;
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ss << "[" << this->x << "," << this->y << "]";
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return ss.str();
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}
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void
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Point::scale(double factor)
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{
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@ -313,6 +321,14 @@ Pointf::wkt() const
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return ss.str();
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}
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std::string
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Pointf::dump_perl() const
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{
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std::ostringstream ss;
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ss << "[" << this->x << "," << this->y << "]";
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return ss.str();
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}
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void
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Pointf::scale(double factor)
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{
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@ -38,6 +38,7 @@ class Point
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};
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bool operator==(const Point& rhs) const;
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std::string wkt() const;
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std::string dump_perl() const;
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void scale(double factor);
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void translate(double x, double y);
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void translate(const Vector &vector);
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@ -87,6 +88,7 @@ class Pointf
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return Pointf(unscale(p.x), unscale(p.y));
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};
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std::string wkt() const;
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std::string dump_perl() const;
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void scale(double factor);
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void translate(double x, double y);
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void translate(const Vectorf &vector);
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@ -41,6 +41,8 @@
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%code{% RETVAL = Polyline(*THIS); %};
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Clone<Point> normal();
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Clone<Point> vector();
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double ccw(Point* point)
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%code{% RETVAL = THIS->ccw(*point); %};
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%{
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Line*
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