Remove spikes from glyph shape
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@ -67,24 +67,189 @@ void visualize_heal(const std::string& svg_filepath, const ExPolygons &expolygon
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const Points pts_2x2({Point(0, 0), Point(1, 0), Point(1, 1), Point(0, 1)});
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const Points pts_3x3({Point(-1, -1), Point(1, -1), Point(1, 1), Point(-1, 1)});
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// Reduce number of Points in polygons with respect to flatness
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// Flatness is area that could be modified
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void simplify(Polygon &polygon, float flatness);
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void simplify(Polygons &polygons, float flatness);
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struct SpikeDesc
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{
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// cosinus of max spike angle
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double cos_angle; // speed up to skip acos
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// Half of Wanted bevel size
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double half_bevel;
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SpikeDesc(double bevel_size) {
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// create min angle given by spike_length
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// Use it as minimal height of 1 pixel base spike
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double length = 6; // has to be smaller than count of heal iteration
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double angle = 2. * atan2(length, .5); // [rad]
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cos_angle = std::fabs(cos(angle));
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// When remove spike this angle is set.
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// Value must be grater than min_angle
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half_bevel = bevel_size / 2;
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}
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};
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void priv::simplify(Polygon &polygon, float flatness) {
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polygon.douglas_peucker(flatness);
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// Remove long sharp corners aka spikes
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// by adding points to bevel tip of spikes - Not printable parts
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// Try to not modify long sides of spike and add points on it's side
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void remove_spikes(Polygon &polygon, const SpikeDesc &spike_desc);
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void remove_spikes(Polygons &polygons, const SpikeDesc &spike_desc);
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void remove_spikes(ExPolygons &expolygons, const SpikeDesc &spike_desc);
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};
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#include <Geometry.hpp>
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void priv::remove_spikes(Polygon &polygon, const SpikeDesc &spike_desc)
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{
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enum class Type {
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add, // Move with point B on A-side and add new point on C-side
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move, // Only move with point B
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erase // left only points A and C without move
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};
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struct SpikeHeal
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{
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Type type;
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size_t index;
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Point b;
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Point add;
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};
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using SpikeHeals = std::vector<SpikeHeal>;
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SpikeHeals heals;
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size_t count = polygon.size();
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if (count < 3)
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return;
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const Point *ptr_a = &polygon[count - 2];
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const Point *ptr_b = &polygon[count - 1];
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for (const Point &c : polygon) {
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const Point &a = *ptr_a;
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const Point &b = *ptr_b;
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ScopeGuard sg([&ptr_a, &ptr_b, &c]() {
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// prepare for next loop
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ptr_a = ptr_b;
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ptr_b = &c;
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});
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// calc sides
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Point ba = a - b;
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Point bc = c - b;
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Vec2d ba_f = ba.cast<double>();
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Vec2d bc_f = bc.cast<double>();
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double dot_product = ba_f.dot(bc_f);
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// sqrt together after multiplication save one sqrt
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double ba_size_sq = ba_f.squaredNorm();
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double bc_size_sq = bc_f.squaredNorm();
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double norm = sqrt(ba_size_sq * bc_size_sq);
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double cos_angle = dot_product / norm;
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// small angle are around 1 --> cos(0) = 1
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if (cos_angle < spike_desc.cos_angle)
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continue;
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SpikeHeal heal;
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heal.index = &b - &polygon.points.front();
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// has to be in range <-1, 1>
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// Due to preccission of floating point number could be sligtly out of range
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if (cos_angle > 1.)
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cos_angle = 1.;
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if (cos_angle < -1.)
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cos_angle = -1.;
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// Current Spike angle
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double angle = acos(cos_angle);
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double wanted_size = spike_desc.half_bevel / cos(angle / 2.);
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double wanted_size_sq = wanted_size * wanted_size;
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bool is_ba_short = ba_size_sq < wanted_size_sq;
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bool is_bc_short = bc_size_sq < wanted_size_sq;
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auto a_side = [&b, &ba_f, &ba_size_sq, &wanted_size]() {
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Vec2d ab_norm = ba_f / sqrt(ba_size_sq);
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return b + (wanted_size * ab_norm).cast<coord_t>();
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};
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auto c_side = [&b, &bc_f, &bc_size_sq, &wanted_size]() {
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Vec2d bc_norm = bc_f / sqrt(bc_size_sq);
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return b + (wanted_size * bc_norm).cast<coord_t>();
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};
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if (is_ba_short && is_bc_short) {
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// remove short spike
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heal.type = Type::erase;
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} else if (is_ba_short){
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// move point B on C-side
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heal.type = Type::move;
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heal.b = c_side();
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} else if (is_bc_short) {
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// move point B on A-side
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heal.type = Type::move;
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heal.b = a_side();
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} else {
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// move point B on A-side and add point on C-side
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heal.type = Type::add;
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heal.b = a_side();
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heal.add = c_side();
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}
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heals.push_back(heal);
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}
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void priv::simplify(Polygons &polygons, float flatness) {
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if (heals.empty())
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return;
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// sort index from high to low
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if (heals.front().index == (count - 1))
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std::rotate(heals.begin(), heals.begin()+1, heals.end());
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std::reverse(heals.begin(), heals.end());
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int extend = 0;
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int curr_extend = 0;
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for (const SpikeHeal &h : heals)
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switch (h.type) {
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case Type::add:
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++curr_extend;
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if (extend < curr_extend)
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extend = curr_extend;
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break;
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case Type::erase:
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--curr_extend;
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}
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Points &pts = polygon.points;
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if (extend > 0)
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pts.reserve(pts.size() + extend);
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for (const SpikeHeal &h : heals) {
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switch (h.type) {
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case Type::add:
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pts[h.index] = h.b;
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pts.insert(pts.begin() + h.index+1, h.add);
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break;
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case Type::erase:
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pts.erase(pts.begin() + h.index);
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break;
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case Type::move:
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pts[h.index] = h.b;
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break;
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default: break;
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}
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}
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}
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void priv::remove_spikes(Polygons &polygons, const SpikeDesc &spike_desc)
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{
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for (Polygon &polygon : polygons)
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simplify(polygon, flatness);
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// simplification could ceate empty polygon
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remove_spikes(polygon, spike_desc);
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remove_bad(polygons);
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}
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void priv::remove_spikes(ExPolygons &expolygons, const SpikeDesc &spike_desc)
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{
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for (ExPolygon &expolygon : expolygons) {
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remove_spikes(expolygon.contour, spike_desc);
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remove_spikes(expolygon.holes, spike_desc);
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}
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remove_bad(expolygons);
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}
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bool priv::is_valid(const FontFile &font, unsigned int index) {
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if (font.data == nullptr) return false;
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if (font.data->empty()) return false;
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@ -380,7 +545,8 @@ bool priv::remove_self_intersections(ExPolygons &shape, unsigned max_iteration)
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return false;
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}
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ExPolygons Emboss::heal_shape(const Polygons &shape) {
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ExPolygons Emboss::heal_shape(const Polygons &shape, double precision)
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{
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// When edit this code check that font 'ALIENATE.TTF' and glyph 'i' still work
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// fix of self intersections
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// http://www.angusj.com/delphi/clipper/documentation/Docs/Units/ClipperLib/Functions/SimplifyPolygon.htm
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@ -388,6 +554,14 @@ ExPolygons Emboss::heal_shape(const Polygons &shape) {
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const double clean_distance = 1.415; // little grater than sqrt(2)
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ClipperLib::CleanPolygons(paths, clean_distance);
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Polygons polygons = to_polygons(paths);
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polygons.erase(std::remove_if(polygons.begin(), polygons.end(), [](const Polygon &p) { return p.size() < 3; }), polygons.end());
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// use douglas peucker to reduce amount of used points
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for (Polygon &polygon : polygons)
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polygon.douglas_peucker(precision);
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priv::SpikeDesc spike(precision);
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priv::remove_spikes(polygons, spike);
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// Do not remove all duplicits but do it better way
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// Overlap all duplicit points by rectangle 3x3
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@ -405,6 +579,12 @@ ExPolygons Emboss::heal_shape(const Polygons &shape) {
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// https://docs.microsoft.com/en-us/typography/opentype/spec/ttch01
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// https://developer.apple.com/fonts/TrueType-Reference-Manual/RM01/Chap1.html
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ExPolygons res = Slic3r::union_ex(polygons, ClipperLib::pftNonZero);
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priv::remove_spikes(polygons, spike);
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double min_area = precision * precision;
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priv::remove_small_islands(res, min_area);
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heal_shape(res);
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return res;
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}
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@ -438,6 +618,8 @@ bool priv::heal_dupl_inter(ExPolygons &shape, unsigned max_iteration)
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{
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if (shape.empty()) return true;
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//priv::visualize_heal("C:/data/temp/heal_prev.svg", shape);
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// create loop permanent memory
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Polygons holes;
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Points intersections;
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@ -622,18 +804,10 @@ std::optional<Glyph> priv::get_glyph(const stbtt_fontinfo &font_info, int unicod
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// change outer cw to ccw and inner ccw to cw order
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std::reverse(pts.begin(), pts.end());
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{ // use douglas peucker to reduce amount of used points
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pts.push_back(pts.front());
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pts = MultiPoint::_douglas_peucker(pts, flatness);
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pts.pop_back();
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if (pts.size() < 3)
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continue;
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}
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glyph_polygons.emplace_back(pts);
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}
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if (!glyph_polygons.empty())
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glyph.shape = Emboss::heal_shape(glyph_polygons);
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glyph.shape = Emboss::heal_shape(glyph_polygons, flatness / SHAPE_SCALE);
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return glyph;
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}
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@ -154,11 +154,13 @@ namespace Emboss
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ExPolygons text2shapes(FontFileWithCache &font, const char *text, const FontProp &font_prop, std::function<bool()> was_canceled = nullptr);
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/// <summary>
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/// Fix intersections and self intersections in polygons glyph shape
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/// Fix duplicit points and self intersections in polygons.
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/// Also try to reduce amount of points and remove useless polygon parts
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/// </summary>
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/// <param name="shape">Input shape to heal</param>
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/// <param name="precision">Define wanted precision of shape after heal</param>
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/// <returns>Healed shapes</returns>
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ExPolygons heal_shape(const Polygons &shape);
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ExPolygons heal_shape(const Polygons &shape, double precision);
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/// <summary>
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/// NOTE: call Slic3r::union_ex before this call
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@ -203,7 +203,7 @@ ExPolygons heal_and_check(const Polygons &polygons)
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Points polygons_points = to_points(polygons);
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Points duplicits_prev = collect_duplicates(polygons_points);
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ExPolygons shape = Emboss::heal_shape(polygons);
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ExPolygons shape = Emboss::heal_shape(polygons, 10);
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// Is default shape for unhealabled shape?
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bool is_default_shape =
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