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Torus visualization of base line.
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@ -89,6 +89,8 @@ indexed_triangle_set its_create_belt(const Slic3r::Polygon &polygon, float width
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return model;
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}
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// Be careful it is not water tide and contain self intersection
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// For visualization purposes it doesnt matter
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indexed_triangle_set its_create_torus(const Slic3r::Polygon &polygon, float radius, size_t steps = 20)
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{
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assert(!polygon.empty());
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@ -117,12 +119,7 @@ indexed_triangle_set its_create_torus(const Slic3r::Polygon &polygon, float radi
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Vec2f dir = prev + next;
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return Vec2f(-dir.x(), dir.y());
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};
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std::vector<Vec2f> points_norm(points_d.size());
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points_norm.front() = calc_norm(line_norm.back(), line_norm[1]);
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for (size_t i = 1; i < points_d.size() - 1; ++i)
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points_norm[i] = calc_norm(line_norm[i - 1], line_norm[i + 1]);
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points_norm.back() = calc_norm(line_norm[points_d.size() - 2], line_norm.front());
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// precalculate sinus and cosinus
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double angle_step = 2 * M_PI / steps;
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std::vector<std::pair<double, float>> sin_cos;
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@ -135,38 +132,73 @@ indexed_triangle_set its_create_torus(const Slic3r::Polygon &polygon, float radi
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);
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}
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indexed_triangle_set sphere = its_make_sphere(radius, 2 * PI / steps);
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// create torus model along polygon path
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indexed_triangle_set model;
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model.vertices.reserve(steps * count);
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model.indices.reserve(2 * steps * count);
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model.vertices.reserve(2 * steps * count + sphere.vertices.size()*count);
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model.indices.reserve(2 * steps * count + sphere.indices.size()*count);
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const Vec2f *prev_prev_point_d = &points_d[count-2]; // one before back
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const Vec2f *prev_point_d = &points_d.back();
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auto calc_angle = [](const Vec2f &d0, const Vec2f &d1) {
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double dot = d0.dot(d1);
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double det = d0.x() * d1.y() - d0.y() * d1.x(); // Determinant
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return std::atan2(det, dot); // atan2(y, x) or atan2(sin, cos)
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};
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// opposit previos direction of line - for calculate angle
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Vec2f opposit_prev_dir = (*prev_prev_point_d) - (*prev_point_d);
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for (size_t i = 0; i < count; ++i) {
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const Vec2f point_d = points_d[i];
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const Vec2f norm = points_norm[i];
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const Vec2f & point_d = points_d[i];
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// line segment direction
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Vec2f dir = point_d - (*prev_point_d);
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double angle = calc_angle(opposit_prev_dir, dir);
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double allowed_preccission = 1e-6;
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if (angle >= (PI - allowed_preccission) ||
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angle <= (-PI + allowed_preccission))
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continue; // it is almost line
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// perpendicular direction to line
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Vec2d p_dir(dir.y(), -dir.x());
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p_dir.normalize(); // Should done with double preccission
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// p_dir is tube unit side vector
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// tube unit top vector is z direction
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// Tube
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int prev_index = model.vertices.size() + 2 * sin_cos.size() - 2;
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for (const auto &[s, c] : sin_cos) {
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Vec2f xy = s * norm + point_d;
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model.vertices.emplace_back(xy.x(), xy.y(), c);
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Vec2f side = (s * p_dir).cast<float>();
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Vec2f xy0 = side + (*prev_point_d);
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Vec2f xy1 = side + point_d;
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model.vertices.emplace_back(xy0.x(), xy0.y(), c); // pointing of prev index
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model.vertices.emplace_back(xy1.x(), xy1.y(), c);
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// create triangle indices
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int f0 = prev_index;
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int s0 = f0 + 1;
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int f1 = model.vertices.size() - 2;
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int s1 = f1 + 1;
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prev_index = f1;
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model.indices.emplace_back(s0, f0, s1);
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model.indices.emplace_back(f1, s1, f0);
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}
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prev_prev_point_d = prev_point_d;
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prev_point_d = &point_d;
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opposit_prev_dir = -dir;
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}
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unsigned int prev_i = count - 1;
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for (unsigned int i = 0; i < count; ++i) {
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// TODO: solve <180, =180 and >180 angle
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// to not create self intersection
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// t .. top
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// b .. bottom
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unsigned int prev_t = (prev_i+1) * steps - 1;
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unsigned int t = (i+1) * steps - 1;
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for (size_t s = 0; s < steps; ++s) {
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unsigned int prev_b = prev_i * steps + s;
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unsigned int b = i * steps + s;
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model.indices.emplace_back(prev_t, prev_b, t);
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model.indices.emplace_back(b, t, prev_b);
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prev_t = prev_b;
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t = b;
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}
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prev_i = i;
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// sphere on each point
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for (Vec2f& p: points_d){
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indexed_triangle_set sphere_copy = sphere;
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its_translate(sphere_copy, Vec3f(p.x(), p.y(), 0.f));
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its_merge(model, sphere_copy);
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}
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return model;
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}
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@ -222,8 +254,8 @@ indexed_triangle_set create_its(const TextLines &lines)
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for (const TextLine &line : lines) {
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const Slic3r::Polygon &polygon = line.polygon;
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if (polygon.empty()) continue;
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indexed_triangle_set line_its = its_create_belt(polygon, model_half_width);
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//indexed_triangle_set line_its = its_create_torus(polygon, model_half_width);
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//indexed_triangle_set line_its = its_create_belt(polygon, model_half_width);
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indexed_triangle_set line_its = its_create_torus(polygon, model_half_width);
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auto transl = Eigen::Translation3d(0., line.y, 0.);
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Transform3d tr = transl * get_rotation();
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its_transform(line_its, tr);
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