277 lines
8.6 KiB
Perl
277 lines
8.6 KiB
Perl
package Slic3r::ExPolygon;
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use strict;
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use warnings;
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# an ExPolygon is a polygon with holes
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use Boost::Geometry::Utils;
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use List::Util qw(first);
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use Math::Geometry::Voronoi;
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use Slic3r::Geometry qw(X Y A B point_in_polygon epsilon scaled_epsilon);
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use Slic3r::Geometry::Clipper qw(union_ex);
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sub wkt {
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my $self = shift;
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return sprintf "POLYGON(%s)",
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join ',', map "($_)", map { join ',', map "$_->[0] $_->[1]", @$_ } @$self;
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}
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sub dump_perl {
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my $self = shift;
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return sprintf "[%s]",
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join ',', map "[$_]", map { join ',', map "[$_->[0],$_->[1]]", @$_ } @$self;
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}
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sub offset {
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my $self = shift;
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return Slic3r::Geometry::Clipper::offset(\@$self, @_);
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}
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sub offset_ex {
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my $self = shift;
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return Slic3r::Geometry::Clipper::offset_ex(\@$self, @_);
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}
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sub noncollapsing_offset_ex {
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my $self = shift;
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my ($distance, @params) = @_;
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return $self->offset_ex($distance + 1, @params);
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}
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sub encloses_point {
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my $self = shift;
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my ($point) = @_;
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return Boost::Geometry::Utils::point_covered_by_polygon($point->pp, $self->pp);
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}
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# A version of encloses_point for use when hole borders do not matter.
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# Useful because point_on_segment is probably slower (this was true
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# before the switch to Boost.Geometry, not sure about now)
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sub encloses_point_quick {
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my $self = shift;
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my ($point) = @_;
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return Boost::Geometry::Utils::point_within_polygon($point->pp, $self->pp);
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}
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sub encloses_line {
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my $self = shift;
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my ($line, $tolerance) = @_;
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my $clip = $self->clip_line($line);
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if (!defined $tolerance) {
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# optimization
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return @$clip == 1 && $clip->[0]->coincides_with($line);
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} else {
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return @$clip == 1 && abs($clip->[0]->length - $line->length) < $tolerance;
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}
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}
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sub bounding_box {
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my $self = shift;
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return $self->contour->bounding_box;
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}
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sub clip_line {
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my $self = shift;
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my ($line) = @_; # line must be a Slic3r::Line object
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return [
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map Slic3r::Line->new(@$_),
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@{Boost::Geometry::Utils::polygon_multi_linestring_intersection($self->pp, [$line->pp])}
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];
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}
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sub simplify_as_polygons {
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my $self = shift;
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my ($tolerance) = @_;
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# it would be nice to have a multilinestring_simplify method in B::G::U
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return @{Slic3r::Geometry::Clipper::simplify_polygons(
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[ map Boost::Geometry::Utils::linestring_simplify($_, $tolerance), @{$self->pp} ],
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)};
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}
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sub simplify {
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my $self = shift;
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my ($tolerance) = @_;
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return @{ Slic3r::Geometry::Clipper::union_ex([ $self->simplify_as_polygons($tolerance) ]) };
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}
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# this method only works for expolygons having only a contour or
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# a contour and a hole, and not being thicker than the supplied
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# width. it returns a polyline or a polygon
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sub medial_axis {
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my ($self, $width) = @_;
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return $self->_medial_axis_voronoi($width);
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}
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sub _medial_axis_clip {
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my ($self, $width) = @_;
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my $grow = sub {
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my ($line, $distance) = @_;
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my $line_clone = $line->clone;
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$line_clone->clip_start(scaled_epsilon);
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return () if !$line_clone->is_valid;
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$line_clone->clip_end(scaled_epsilon);
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return () if !$line_clone->is_valid;
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my ($a, $b) = @$line_clone;
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my $dx = $a->x - $b->x;
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my $dy = $a->y - $b->y; #-
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my $dist = sqrt($dx*$dx + $dy*$dy);
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$dx /= $dist;
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$dy /= $dist;
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return Slic3r::Polygon->new(
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Slic3r::Point->new($a->x + $distance*$dy, $a->y - $distance*$dx), #--
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Slic3r::Point->new($b->x + $distance*$dy, $b->y - $distance*$dx), #--
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Slic3r::Point->new($b->x - $distance*$dy, $b->y + $distance*$dx), #++
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Slic3r::Point->new($a->x - $distance*$dy, $a->y + $distance*$dx), #++
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);
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};
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my @result = ();
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my $covered = [];
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foreach my $polygon (@$self) {
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my @polylines = ();
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foreach my $line (@{$polygon->lines}) {
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# remove the areas that are already covered from this line
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my $clipped = Boost::Geometry::Utils::multi_linestring_multi_polygon_difference([$line->pp], [ map $_->pp, @{union_ex($covered)} ]);
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# skip very short segments/dots
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@$clipped = grep $_->length > $width/10, map Slic3r::Polyline->new(@$_), @$clipped;
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# grow the remaining lines and add them to the covered areas
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push @$covered, map $grow->($_, $width*1.1), @$clipped;
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# if the first remaining segment is connected to the last polyline, append it
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# to that -- NOTE: this assumes that multi_linestring_multi_polygon_difference()
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# preserved the orientation of the input linestring
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if (@polylines && @$clipped && $clipped->[0]->first_point->distance_to($polylines[-1]->last_point) <= $width/10) {
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$polylines[-1]->append_polyline(shift @$clipped);
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}
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push @polylines, @$clipped;
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}
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foreach my $polyline (@polylines) {
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# if this polyline looks like a closed loop, return it as a polygon
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if ($polyline->first_point->coincides_with($polyline->last_point)) {
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next if @$polyline == 2;
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$polyline->pop_back;
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push @result, Slic3r::Polygon->new(@$polyline);
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} else {
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push @result, $polyline;
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}
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}
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}
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return @result;
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}
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my $voronoi_lock :shared;
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sub _medial_axis_voronoi {
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my ($self, $width) = @_;
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lock($voronoi_lock);
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my $voronoi;
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{
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my @points = ();
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foreach my $polygon (@$self) {
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{
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my $p = $polygon->pp;
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Slic3r::Geometry::polyline_remove_short_segments($p, $width / 2);
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$polygon = Slic3r::Polygon->new(@$p);
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}
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# subdivide polygon segments so that we don't have anyone of them
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# being longer than $width / 2
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$polygon = $polygon->subdivide($width/2);
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push @points, @{$polygon->pp};
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}
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$voronoi = Math::Geometry::Voronoi->new(points => \@points);
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}
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$voronoi->compute;
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my $vertices = $voronoi->vertices;
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my @skeleton_lines = ();
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foreach my $edge (@{ $voronoi->edges }) {
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# ignore lines going to infinite
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next if $edge->[1] == -1 || $edge->[2] == -1;
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next if !$self->encloses_point_quick(Slic3r::Point->new(@{$vertices->[$edge->[1]]}))
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|| !$self->encloses_point_quick(Slic3r::Point->new(@{$vertices->[$edge->[2]]}));
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push @skeleton_lines, [$edge->[1], $edge->[2]];
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}
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return () if !@skeleton_lines;
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# now walk along the medial axis and build continuos polylines or polygons
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my @polylines = ();
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{
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my @lines = @skeleton_lines;
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push @polylines, [ map @$_, shift @lines ];
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CYCLE: while (@lines) {
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for my $i (0..$#lines) {
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if ($lines[$i][0] == $polylines[-1][-1]) {
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push @{$polylines[-1]}, $lines[$i][1];
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} elsif ($lines[$i][1] == $polylines[-1][-1]) {
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push @{$polylines[-1]}, $lines[$i][0];
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} elsif ($lines[$i][1] == $polylines[-1][0]) {
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unshift @{$polylines[-1]}, $lines[$i][0];
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} elsif ($lines[$i][0] == $polylines[-1][0]) {
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unshift @{$polylines[-1]}, $lines[$i][1];
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} else {
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next;
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}
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splice @lines, $i, 1;
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next CYCLE;
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}
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push @polylines, [ map @$_, shift @lines ];
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}
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}
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my @result = ();
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foreach my $polyline (@polylines) {
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next unless @$polyline >= 2;
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# now replace point indexes with coordinates
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my @points = map Slic3r::Point->new(@{$vertices->[$_]}), @$polyline;
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if ($points[0]->coincides_with($points[-1])) {
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next if @points == 2;
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push @result, Slic3r::Polygon->new(@points[0..$#points-1]);
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} else {
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push @result, Slic3r::Polyline->new(@points);
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}
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}
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# apply Douglas-Peucker to straighten paths
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@result = map $_->simplify($width / 7), @result;
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return @result;
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}
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package Slic3r::ExPolygon::Collection;
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use Slic3r::Geometry qw(X1 Y1);
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sub align_to_origin {
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my $self = shift;
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my @bb = Slic3r::Geometry::bounding_box([ map @$_, map @$_, @$self ]);
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$self->translate(-$bb[X1], -$bb[Y1]);
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$self;
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}
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sub size {
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my $self = shift;
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return [ Slic3r::Geometry::size_2D([ map @$_, map @$_, @$self ]) ];
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}
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1;
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