gyroid & 3Dhoneycomb: now 'connected lines' follow the perimeters

This commit is contained in:
supermerill 2019-01-23 10:08:42 +01:00 committed by Yuri D'Elia
parent 8e4f777bd3
commit 86fbb9a095
5 changed files with 377 additions and 77 deletions

View file

@ -161,43 +161,38 @@ void Fill3DHoneycomb::_fill_surface_single(
for (Polylines::iterator it = polylines.begin(); it != polylines.end(); ++ it)
it->translate(bb.min(0), bb.min(1));
// clip pattern to boundaries
polylines = intersection_pl(polylines, (Polygons)expolygon);
// connect lines
if (! params.dont_connect && ! polylines.empty()) { // prevent calling leftmost_point() on empty collections
ExPolygon expolygon_off;
{
ExPolygons expolygons_off = offset_ex(expolygon, SCALED_EPSILON);
if (! expolygons_off.empty()) {
// When expanding a polygon, the number of islands could only shrink. Therefore the offset_ex shall generate exactly one expanded island for one input island.
assert(expolygons_off.size() == 1);
std::swap(expolygon_off, expolygons_off.front());
// clip pattern to boundaries, keeping the polyline order & ordering the fragment to be able to join them easily
Polylines polylines_chained;
for (size_t idx_polyline = 0; idx_polyline < polylines.size(); ++idx_polyline) {
Polyline &poly_to_cut = polylines[idx_polyline];
Polylines polylines_to_sort = intersection_pl(Polylines() = { poly_to_cut }, (Polygons)expolygon);
for (Polyline &polyline : polylines_to_sort) {
//TODO: replace by closest_index_point()
if (poly_to_cut.points.front().distance_to_square(polyline.points.front()) > poly_to_cut.points.front().distance_to_square(polyline.points.back())) {
polyline.reverse();
}
}
Polylines chained = PolylineCollection::chained_path_from(
std::move(polylines),
PolylineCollection::leftmost_point(polylines), false); // reverse allowed
bool first = true;
for (Polylines::iterator it_polyline = chained.begin(); it_polyline != chained.end(); ++ it_polyline) {
if (! first) {
// Try to connect the lines.
Points &pts_end = polylines_out.back().points;
const Point &first_point = it_polyline->points.front();
const Point &last_point = pts_end.back();
// TODO: we should also check that both points are on a fill_boundary to avoid
// connecting paths on the boundaries of internal regions
if ((last_point - first_point).cast<double>().norm() <= 1.5 * distance &&
expolygon_off.contains(Line(last_point, first_point))) {
// Append the polyline.
pts_end.insert(pts_end.end(), it_polyline->points.begin(), it_polyline->points.end());
continue;
if (polylines_to_sort.size() > 1) {
Point nearest = poly_to_cut.points.front();
//Bubble sort
for (size_t idx_sort = polylines_to_sort.size() - 1; idx_sort > 0; idx_sort--) {
for (size_t idx_bubble = 0; idx_bubble < idx_sort; idx_bubble++) {
if (polylines_to_sort[idx_bubble + 1].points.front().distance_to_square(nearest) < polylines_to_sort[idx_bubble].points.front().distance_to_square(nearest)) {
iter_swap(polylines_to_sort.begin() + idx_bubble, polylines_to_sort.begin() + idx_bubble + 1);
}
}
}
// The lines cannot be connected.
polylines_out.emplace_back(std::move(*it_polyline));
first = false;
}
polylines_chained.insert(polylines_chained.end(), polylines_to_sort.begin(), polylines_to_sort.end());
}
// connect lines if needed
if (!polylines_chained.empty()) {
if (params.dont_connect) {
polylines_out.insert(polylines_out.end(), polylines_chained.begin(), polylines_chained.end());
} else {
this->connect_infill(polylines_chained, expolygon, polylines_out);
}
}
}

View file

@ -130,4 +130,291 @@ std::pair<float, Point> Fill::_infill_direction(const Surface *surface) const
return std::pair<float, Point>(out_angle, out_shift);
}
/// cut poly between poly.point[idx_1] & poly.point[idx_1+1]
/// add p1+-width to one part and p2+-width to the other one.
/// add the "new" polyline to polylines (to part cut from poly)
/// p1 & p2 have to be between poly.point[idx_1] & poly.point[idx_1+1]
/// if idx_1 is ==0 or == size-1, then we don't need to create a new polyline.
void cut_polyline(Polyline &poly, Polylines &polylines, size_t idx_1, Point p1, Point p2) {
//reorder points
if (p1.distance_to_square(poly.points[idx_1]) > p2.distance_to_square(poly.points[idx_1])) {
Point temp = p2;
p2 = p1;
p1 = temp;
}
if (idx_1 == 0) {
poly.points.insert(poly.points.begin(), p2);
} else if (idx_1 == poly.points.size() - 1) {
poly.points.push_back(p1);
} else {
// create new polyline
Polyline new_poly;
//put points in new_poly
new_poly.points.push_back(p2);
new_poly.points.insert(new_poly.points.end(), poly.points.begin() + idx_1 + 1, poly.points.end());
//erase&put points in poly
poly.points.erase(poly.points.begin() + idx_1 + 1, poly.points.end());
poly.points.push_back(p1);
polylines.emplace_back(new_poly);
}
}
/// the poly is like a polygon but with first_point != last_point (already removed)
void cut_polygon(Polyline &poly, size_t idx_1, Point p1, Point p2) {
//reorder points
if (p1.distance_to_square(poly.points[idx_1]) > p2.distance_to_square(poly.points[idx_1])) {
Point temp = p2;
p2 = p1;
p1 = temp;
}
//check if we need to rotate before cutting
if (idx_1 != poly.size() - 1) {
//put points in new_poly
poly.points.insert(poly.points.end(), poly.points.begin(), poly.points.begin() + idx_1 + 1);
poly.points.erase(poly.points.begin(), poly.points.begin() + idx_1 + 1);
}
//put points in poly
poly.points.push_back(p1);
poly.points.insert(poly.points.begin(), p2);
}
/// check if the polyline from pts_to_check may be at 'width' distance of a point in polylines_blocker
/// it use equally_spaced_points with width/2 precision, so don't worry with pts_to_check number of points.
/// it use the given polylines_blocker points, be sure to put enough of them to be reliable.
/// complexity : N(pts_to_check.equally_spaced_points(width / 2)) x N(polylines_blocker.points)
bool collision(const Points &pts_to_check, const Polylines &polylines_blocker, const coordf_t width) {
//check if it's not too close to a polyline
coordf_t min_dist = width * width * 0.9 - SCALED_EPSILON;
Polyline better_polylines(pts_to_check);
Points better_pts = better_polylines.equally_spaced_points(width / 2);
for (const Point &p : better_pts) {
for (const Polyline &poly2 : polylines_blocker) {
for (const Point &p2 : poly2.points) {
if (p.distance_to_square(p2) < min_dist) {
return true;
}
}
}
}
return false;
}
/// Try to find a path inside polylines that allow to go from p1 to p2.
/// width if the width of the extrusion
/// polylines_blockers are the array of polylines to check if the path isn't blocked by something.
/// complexity: N(polylines.points) + a collision check after that if we finded a path: N(2(p2-p1)/width) x N(polylines_blocker.points)
Points getFrontier(Polylines &polylines, const Point& p1, const Point& p2, const coord_t width, const Polylines &polylines_blockers) {
for (size_t idx_poly = 0; idx_poly < polylines.size(); ++idx_poly) {
Polyline &poly = polylines[idx_poly];
if (poly.size() <= 1) continue;
//loop?
if (poly.first_point() == poly.last_point()) {
//polygon : try to find a line for p1 & p2.
size_t idx_11, idx_12, idx_21, idx_22;
idx_11 = poly.closest_point_index(p1);
idx_12 = idx_11;
if (Line(poly.points[idx_11], poly.points[(idx_11 + 1) % (poly.points.size() - 1)]).distance_to(p1) < SCALED_EPSILON) {
idx_12 = (idx_11 + 1) % (poly.points.size() - 1);
} else if (Line(poly.points[(idx_11 > 0) ? (idx_11 - 1) : (poly.points.size() - 2)], poly.points[idx_11]).distance_to(p1) < SCALED_EPSILON) {
idx_11 = (idx_11 > 0) ? (idx_11 - 1) : (poly.points.size() - 2);
} else {
continue;
}
idx_21 = poly.closest_point_index(p2);
idx_22 = idx_21;
if (Line(poly.points[idx_21], poly.points[(idx_21 + 1) % (poly.points.size() - 1)]).distance_to(p2) < SCALED_EPSILON) {
idx_22 = (idx_21 + 1) % (poly.points.size() - 1);
} else if (Line(poly.points[(idx_21 > 0) ? (idx_21 - 1) : (poly.points.size() - 2)], poly.points[idx_21]).distance_to(p2) < SCALED_EPSILON) {
idx_21 = (idx_21 > 0) ? (idx_21 - 1) : (poly.points.size() - 2);
} else {
continue;
}
//edge case: on the same line
if (idx_11 == idx_21 && idx_12 == idx_22) {
if (collision(Points() = { p1, p2 }, polylines_blockers, width)) return Points();
//break loop
poly.points.erase(poly.points.end() - 1);
cut_polygon(poly, idx_11, p1, p2);
return Points() = { Line(p1, p2).midpoint() };
}
//compute distance & array for the ++ path
Points ret_1_to_2;
double dist_1_to_2 = p1.distance_to(poly.points[idx_12]);
ret_1_to_2.push_back(poly.points[idx_12]);
size_t max = idx_12 <= idx_21 ? idx_21 : poly.points.size() - 2;
for (size_t i = idx_12 + 1; i < max; i++) {
dist_1_to_2 += poly.points[i - 1].distance_to(poly.points[i]);
ret_1_to_2.push_back(poly.points[i]);
}
if (idx_12 > idx_21) {
dist_1_to_2 += poly.points.back().distance_to(poly.points.front());
ret_1_to_2.push_back(poly.points[0]);
for (size_t i = 1; i <= idx_21; i++) {
dist_1_to_2 += poly.points[i - 1].distance_to(poly.points[i]);
ret_1_to_2.push_back(poly.points[i]);
}
}
dist_1_to_2 += p2.distance_to(poly.points[idx_21]);
//compute distance & array for the -- path
Points ret_2_to_1;
double dist_2_to_1 = p1.distance_to(poly.points[idx_11]);
ret_2_to_1.push_back(poly.points[idx_11]);
size_t min = idx_22 <= idx_11 ? idx_22 : 0;
for (size_t i = idx_11; i > min; i--) {
dist_2_to_1 += poly.points[i - 1].distance_to(poly.points[i]);
ret_2_to_1.push_back(poly.points[i - 1]);
}
if (idx_22 > idx_11) {
dist_2_to_1 += poly.points.back().distance_to(poly.points.front());
ret_2_to_1.push_back(poly.points[poly.points.size() - 1]);
for (size_t i = poly.points.size() - 2; i > idx_22; i--) {
dist_2_to_1 += poly.points[i - 1].distance_to(poly.points[i]);
ret_2_to_1.push_back(poly.points[i - 1]);
}
}
dist_2_to_1 += p2.distance_to(poly.points[idx_22]);
//choose between the two direction (keep the short one)
if (dist_1_to_2 < dist_2_to_1) {
if (collision(ret_1_to_2, polylines_blockers, width)) return Points();
//break loop
poly.points.erase(poly.points.end() - 1);
//remove points
if (idx_12 <= idx_21) {
poly.points.erase(poly.points.begin() + idx_12, poly.points.begin() + idx_21 + 1);
cut_polygon(poly, idx_11, p1, p2);
} else {
poly.points.erase(poly.points.begin() + idx_12, poly.points.end());
poly.points.erase(poly.points.begin(), poly.points.begin() + idx_21);
cut_polygon(poly, poly.points.size() - 1, p1, p2);
}
return ret_1_to_2;
} else {
if (collision(ret_2_to_1, polylines_blockers, width)) return Points();
//break loop
poly.points.erase(poly.points.end() - 1);
//remove points
if (idx_22 <= idx_11) {
poly.points.erase(poly.points.begin() + idx_22, poly.points.begin() + idx_11 + 1);
cut_polygon(poly, idx_21, p1, p2);
} else {
poly.points.erase(poly.points.begin() + idx_22, poly.points.end());
poly.points.erase(poly.points.begin(), poly.points.begin() + idx_11);
cut_polygon(poly, poly.points.size() - 1, p1, p2);
}
return ret_2_to_1;
}
} else {
//polyline : try to find a line for p1 & p2.
size_t idx_1, idx_2;
idx_1 = poly.closest_point_index(p1);
if (idx_1 < poly.points.size() - 1 && Line(poly.points[idx_1], poly.points[idx_1 + 1]).distance_to(p1) < SCALED_EPSILON) {
} else if (idx_1 > 0 && Line(poly.points[idx_1 - 1], poly.points[idx_1]).distance_to(p1) < SCALED_EPSILON) {
idx_1 = idx_1 - 1;
} else {
continue;
}
idx_2 = poly.closest_point_index(p2);
if (idx_2 < poly.points.size() - 1 && Line(poly.points[idx_2], poly.points[idx_2 + 1]).distance_to(p2) < SCALED_EPSILON) {
} else if (idx_2 > 0 && Line(poly.points[idx_2 - 1], poly.points[idx_2]).distance_to(p2) < SCALED_EPSILON) {
idx_2 = idx_2 - 1;
} else {
continue;
}
//edge case: on the same line
if (idx_1 == idx_2) {
if (collision(Points() = { p1, p2 }, polylines_blockers, width)) return Points();
cut_polyline(poly, polylines, idx_1, p1, p2);
return Points() = { Line(p1, p2).midpoint() };
}
//create ret array
size_t first_idx = idx_1;
size_t last_idx = idx_2 + 1;
if (idx_1 > idx_2) {
first_idx = idx_2;
last_idx = idx_1 + 1;
}
Points p_ret;
p_ret.insert(p_ret.end(), poly.points.begin() + first_idx + 1, poly.points.begin() + last_idx);
if (collision(p_ret, polylines_blockers, width)) return Points();
//cut polyline
poly.points.erase(poly.points.begin() + first_idx + 1, poly.points.begin() + last_idx);
cut_polyline(poly, polylines, first_idx, p1, p2);
//order the returned array to be p1->p2
if (idx_1 > idx_2) {
std::reverse(p_ret.begin(), p_ret.end());
}
return p_ret;
}
}
return Points();
}
/// Connect the infill_ordered polylines, in this order, from the back point to the next front point.
/// It uses only the boundary polygons to do so, and can't pass two times at the same place.
/// It avoid passing over the infill_ordered's polylines (preventing local over-extrusion).
/// return the connected polylines in polylines_out. Can output polygons (stored as polylines with first_point = last_point).
/// complexity: worst: N(infill_ordered.points) x N(boundary.points)
/// typical: N(infill_ordered) x ( N(boundary.points) + N(infill_ordered.points) )
void Fill::connect_infill(const Polylines &infill_ordered, const ExPolygon &boundary, Polylines &polylines_out) {
//TODO: fallback to the quick & dirty old algorithm when n(points) is too high.
Polylines polylines_frontier = to_polylines(((Polygons)boundary));
Polylines polylines_blocker;
coord_t clip_size = scale_(this->spacing) * 2;
for (const Polyline &polyline : infill_ordered) {
if (polyline.length() > 1.8 * clip_size) {
polylines_blocker.push_back(polyline);
polylines_blocker.back().clip_end(clip_size);
polylines_blocker.back().clip_start(clip_size);
}
}
Polylines polylines_connected;
bool first = true;
for (const Polyline &polyline : infill_ordered) {
if (!first) {
// Try to connect the lines.
Points &pts_end = polylines_connected.back().points;
const Point &first_point = polyline.points.front();
const Point &last_point = pts_end.back();
Points pts = getFrontier(polylines_frontier, last_point, first_point, scale_(this->spacing), polylines_blocker);
if (!pts.empty()) {
pts_end.insert(pts_end.end(), pts.begin(), pts.end());
pts_end.insert(pts_end.end(), polyline.points.begin(), polyline.points.end());
continue;
}
}
// The lines cannot be connected.
polylines_connected.emplace_back(std::move(polyline));
first = false;
}
//try to create some loops if possible
for (Polyline &polyline : polylines_connected) {
Points pts = getFrontier(polylines_frontier, polyline.last_point(), polyline.first_point(), scale_(this->spacing), polylines_blocker);
if (!pts.empty()) {
polyline.points.insert(polyline.points.end(), pts.begin(), pts.end());
polyline.points.insert(polyline.points.begin(), polyline.points.back());
}
polylines_out.emplace_back(polyline);
}
}
} // namespace Slic3r

View file

@ -109,6 +109,8 @@ protected:
virtual std::pair<float, Point> _infill_direction(const Surface *surface) const;
void connect_infill(const Polylines &infill_ordered, const ExPolygon &boundary, Polylines &polylines_out);
public:
static coord_t _adjust_solid_spacing(const coord_t width, const coord_t distance);

View file

@ -109,16 +109,20 @@ static Polylines make_gyroid_waves(double gridZ, double density_adjusted, double
std::swap(width,height);
}
std::vector<Vec2d> one_period = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // creates one period of the waves, so it doesn't have to be recalculated all the time
std::vector<Vec2d> one_period_odd = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // creates one period of the waves, so it doesn't have to be recalculated all the time
flip = !flip; // even polylines are a bit shifted
std::vector<Vec2d> one_period_even = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip);
Polylines result;
for (double y0 = lower_bound; y0 < upper_bound+EPSILON; y0 += 2*M_PI) // creates odd polylines
result.emplace_back(make_wave(one_period, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
flip = !flip; // even polylines are a bit shifted
one_period = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // updates the one period sample
for (double y0 = lower_bound + M_PI; y0 < upper_bound+EPSILON; y0 += 2*M_PI) // creates even polylines
result.emplace_back(make_wave(one_period, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
for (double y0 = lower_bound; y0 < upper_bound + EPSILON; y0 += M_PI) {
// creates odd polylines
result.emplace_back(make_wave(one_period_odd, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
// creates even polylines
y0 += M_PI;
if (y0 < upper_bound + EPSILON) {
result.emplace_back(make_wave(one_period_even, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
}
}
return result;
}
@ -141,7 +145,7 @@ void FillGyroid::_fill_surface_single(
bb.merge(_align_to_grid(bb.min, Point(2.*M_PI*distance, 2.*M_PI*distance)));
// generate pattern
Polylines polylines = make_gyroid_waves(
Polylines polylines_square = make_gyroid_waves(
scale_(this->z),
density_adjusted,
this->spacing,
@ -149,46 +153,51 @@ void FillGyroid::_fill_surface_single(
ceil(bb.size()(1) / distance) + 1.);
// move pattern in place
for (Polyline &polyline : polylines)
for (Polyline &polyline : polylines_square)
polyline.translate(bb.min(0), bb.min(1));
// clip pattern to boundaries
polylines = intersection_pl(polylines, (Polygons)expolygon);
// connect lines
if (! params.dont_connect && ! polylines.empty()) { // prevent calling leftmost_point() on empty collections
ExPolygon expolygon_off;
{
ExPolygons expolygons_off = offset_ex(expolygon, (float)SCALED_EPSILON);
if (! expolygons_off.empty()) {
// When expanding a polygon, the number of islands could only shrink. Therefore the offset_ex shall generate exactly one expanded island for one input island.
assert(expolygons_off.size() == 1);
std::swap(expolygon_off, expolygons_off.front());
}
}
Polylines chained = PolylineCollection::chained_path_from(
std::move(polylines),
PolylineCollection::leftmost_point(polylines), false); // reverse allowed
bool first = true;
for (Polyline &polyline : chained) {
if (! first) {
// Try to connect the lines.
Points &pts_end = polylines_out.back().points;
const Point &first_point = polyline.points.front();
const Point &last_point = pts_end.back();
// TODO: we should also check that both points are on a fill_boundary to avoid
// connecting paths on the boundaries of internal regions
// TODO: avoid crossing current infill path
if ((last_point - first_point).cast<double>().norm() <= 5 * distance &&
expolygon_off.contains(Line(last_point, first_point))) {
// Append the polyline.
pts_end.insert(pts_end.end(), polyline.points.begin(), polyline.points.end());
continue;
// clip pattern to boundaries, keeping the polyline order & ordering the fragment to be able to join them easily
//Polylines polylines = intersection_pl(polylines_square, (Polygons)expolygon);
Polylines polylines_chained;
for (size_t idx_polyline = 0; idx_polyline < polylines_square.size(); ++idx_polyline) {
Polyline &poly_to_cut = polylines_square[idx_polyline];
Polylines polylines_to_sort = intersection_pl(Polylines() = { poly_to_cut }, (Polygons)expolygon);
for (Polyline &polyline : polylines_to_sort) {
//TODO: replace by closest_index_point()
if (idx_polyline % 2 == 0) {
if (poly_to_cut.points.front().distance_to_square(polyline.points.front()) > poly_to_cut.points.front().distance_to_square(polyline.points.back())) {
polyline.reverse();
}
} else {
if (poly_to_cut.points.back().distance_to_square(polyline.points.front()) > poly_to_cut.points.back().distance_to_square(polyline.points.back())) {
polyline.reverse();
}
}
// The lines cannot be connected.
polylines_out.emplace_back(std::move(polyline));
first = false;
}
if (polylines_to_sort.size() > 1) {
Point nearest = poly_to_cut.points.front();
if (idx_polyline % 2 != 0) {
nearest = poly_to_cut.points.back();
}
//Bubble sort
for (size_t idx_sort = polylines_to_sort.size() - 1; idx_sort > 0; idx_sort--) {
for (size_t idx_bubble = 0; idx_bubble < idx_sort; idx_bubble++) {
if (polylines_to_sort[idx_bubble + 1].points.front().distance_to_square(nearest) < polylines_to_sort[idx_bubble].points.front().distance_to_square(nearest)) {
iter_swap(polylines_to_sort.begin() + idx_bubble, polylines_to_sort.begin() + idx_bubble + 1);
}
}
}
}
polylines_chained.insert(polylines_chained.end(), polylines_to_sort.begin(), polylines_to_sort.end());
}
if (!polylines_chained.empty()) {
// connect lines
if (params.dont_connect) {
polylines_out.insert(polylines_out.end(), polylines_chained.begin(), polylines_chained.end());
} else {
this->connect_infill(polylines_chained, expolygon, polylines_out);
}
}
}

View file

@ -124,6 +124,13 @@ public:
double ccw_angle(const Point &p1, const Point &p2) const;
Point projection_onto(const MultiPoint &poly) const;
Point projection_onto(const Line &line) const;
double distance_to(const Point &point) const { return (point - *this).cast<double>().norm(); }
double distance_to_square(const Point &point) const {
double dx = (point.x() - this->x());
double dy = (point.y() - this->y());
return dx*dx + dy*dy;
}
};
namespace int128 {