bool boundaries_intersect(const Polygon_2& P, const Polygon_2& Q, bool proper)
{
std::list<Segment_2> segments0, segments1;
segments0.insert(segments0.end(), P.edges_begin(), P.edges_end());
segments1.insert(segments1.end(), Q.edges_begin(), Q.edges_end());
bool intersects = has_intersection(segments0.begin(), segments0.end(),
segments1.begin(), segments1.end(),
true, true);
if (!intersects || !proper)
return intersects;
if (has_intersection(segments0.begin(), segments0.end(),
segments1.begin(), segments1.end(),
false, false))
return true;
typedef Polygon_2::Vertex_const_iterator Iter;
for (Iter it = P.vertices_begin(); it != P.vertices_end(); ++it) {
if (Q.has_on_bounded_side(*it))
return true;
}
for (Iter it = Q.vertices_begin(); it != Q.vertices_end(); ++it) {
if (P.has_on_bounded_side(*it))
return true;
}
return false;
}
int main()
{
CGAL::set_pretty_mode(cout);
// build a random convex 20-gon p
{
Polygon_2 p;
random_convex_set_2(20, back_inserter(p), Point_generator(1.0));
cout << "------------------------------\nInput:\n" << p << endl;
compute(p.vertices_begin(), p.vertices_end());
}
// try identical points
{
Polygon_2 p;
for (int i = 1; i < 3; ++i) {
cout << "------------------------------\nInput:\n" << p << endl;
compute(p.vertices_begin(), p.vertices_end());
p.push_back(Point_2(0,0));
}
}
return 0;
}
void decomposePolygonCgal(geometry_msgs::Polygon& input, std::vector<geometry_msgs::Polygon>& output)
{
Polygon_list cgalOutputPolys;
Traits partitionTraits;
Validity_traits validityTraits;
// Convert from ROS-polygon to CGAL polygon
Polygon_2 cgalInput;
for (int i = 0; i < input.points.size(); i++)
{
cgalInput.push_back(Point_2(input.points[i].x, input.points[i].y));
}
// Make sure we have a COUNTERCLOCKWISE polygon
if (cgalInput.orientation() == CGAL::CLOCKWISE)
{
cgalInput.clear();
for (int i = input.points.size() - 1; i >= 0; i--)
{
cgalInput.push_back(Point_2(input.points[i].x, input.points[i].y));
}
}
// Do the decomposition using CGAL
CGAL::optimal_convex_partition_2(
cgalInput.vertices_begin(), cgalInput.vertices_end(), std::back_inserter(cgalOutputPolys), partitionTraits);
std::cout << "CHECK output data!" << std::endl;
assert(CGAL::partition_is_valid_2(cgalInput.vertices_begin(),
cgalInput.vertices_end(),
cgalOutputPolys.begin(),
cgalOutputPolys.end(),
validityTraits));
// Now walk through the result and convert to ROS
for (Polygon_iterator poly_it = cgalOutputPolys.begin(); poly_it != cgalOutputPolys.end(); poly_it++)
{
Polygon_2 p = *poly_it;
geometry_msgs::Polygon outputPoly;
// Iterate through the points for a polygon
for (Vertex_iterator vi = p.vertices_begin(); vi != p.vertices_end(); ++vi)
{
Point_2 v = *vi;
geometry_msgs::Point32 pt;
pt.x = v.x();
pt.y = v.y();
outputPoly.points.push_back(pt);
}
output.push_back(outputPoly);
}
}
void insert_polygon( CDT& cdt, const Polygon_2& polygon ) {
if (polygon.is_empty())
return;
CDT::Vertex_handle v_prev = cdt.insert( *CGAL::cpp0x::prev( polygon.vertices_end() ) );
for (Polygon_2::Vertex_iterator vit = polygon.vertices_begin(); vit != polygon.vertices_end(); ++vit) {
CDT::Vertex_handle vh = cdt.insert(*vit);
cdt.insert_constraint(vh, v_prev);
v_prev = vh;
}
}
void perturb(Polygon_2& p, Number_type epsilon) {
Polygon_2::Vertex_iterator vit;
for (vit = p.vertices_begin(); vit != p.vertices_end(); ++vit) {
Point_2 pnt = *vit;
// Make sure we get a consistent perturbation with each point across runs
const static Number_type prime = 827;
srand((int)(pnt.x() + prime*(pnt.y() + prime*pnt.z())));
pnt = Point_25_<Kernel>(perturb(pnt.x(), epsilon), perturb(pnt.y(), epsilon), pnt.z(), pnt.id());
p.set(vit, pnt);
}
p = Polygon_2(p.vertices_begin(), unique(p.vertices_begin(), p.vertices_end()));
}
/**
\brief Prints a polygon in its WKT form (p1,p2,p3,....)
\note Does not add POLYGON text. It is used inside other printing functions
*/
void print_WKT_polygon_2(Polygon_2 plg) {
std::cout << "(";
std::vector<Point>::iterator v;
for ( v = plg.vertices_begin();
v != plg.vertices_end()-1;
++v) {
std::cout << *v << ",";
}
v = plg.vertices_end()-1; //last one with no comma
std::cout << *v << ")";
}
Polygon_2 xz_swap_neg(const Polygon_2& p)
{
Polygon_2 ret;
for (Polygon_2::Vertex_iterator it = p.vertices_begin(); it != p.vertices_end(); ++it)
ret.push_back(xz_swap_neg(*it));
return ret;
}
int main()
{
Polygon_2 poly ;
poly.push_back( Point(-1,-1) ) ;
poly.push_back( Point(0,-12) ) ;
poly.push_back( Point(1,-1) ) ;
poly.push_back( Point(12,0) ) ;
poly.push_back( Point(1,1) ) ;
poly.push_back( Point(0,12) ) ;
poly.push_back( Point(-1,1) ) ;
poly.push_back( Point(-12,0) ) ;
// You can pass the polygon via an iterator pair
SsPtr iss = CGAL::create_interior_straight_skeleton_2(poly.vertices_begin(), poly.vertices_end());
// Or you can pass the polygon directly, as below.
// To create an exterior straight skeleton you need to specify a maximum offset.
double lMaxOffset = 5 ;
SsPtr oss = CGAL::create_exterior_straight_skeleton_2(lMaxOffset, poly);
print_straight_skeleton(*iss);
print_straight_skeleton(*oss);
return 0;
}
/*
* append gA+gB into the polygonSet
*/
void minkowskiSum( const Point& gA, const Polygon_2& gB, Polygon_set_2& polygonSet )
{
BOOST_ASSERT( gB.size() );
CGAL::Aff_transformation_2< Kernel > translate(
CGAL::TRANSLATION,
gA.toVector_2()
);
Polygon_2 sum ;
for ( Polygon_2::Vertex_const_iterator it = gB.vertices_begin();
it != gB.vertices_end(); ++it ) {
sum.push_back( translate.transform( *it ) );
}
if ( sum.is_clockwise_oriented() ) {
sum.reverse_orientation() ;
}
if ( polygonSet.is_empty() ) {
polygonSet.insert( sum );
}
else {
polygonSet.join( sum );
}
}
int main(int argc, char** argv)
{
//Reading polygon files
Polygon_2 poly;
QPolygonF poly_qt;
read_file("models/turtle_w.txt", poly, poly_qt);
//Compute straight skeleton
//*****This program now works for polygon WITHOUT HOLES.
SsPtr iss = CGAL::create_interior_straight_skeleton_2(poly.vertices_begin(), poly.vertices_end());
SsPtr ess = CGAL::create_exterior_straight_skeleton_2(EMaxOffset, poly);
//Constructing the graph combining the straight skeleton and polygon
std::vector<BridgingGraph> bg;
construct_bridging_graph(poly, *iss, *ess, bg);
//Compute perpendiculars
std::list<Perpendiculars> ppd;
generate_perpendiculars(*iss, *ess, bg, ppd);
deduplicate_perpendiculars<K>(ppd);
//Assign mountain and valley
std::list<Segment> mt;
std::list<Segment> vl;
MountainValley<K>(*iss, *ess, bg, ppd, mt, vl);
//Extracts skeleton from cgal and converts them to qt
std::list<QLineF> bis_qt;
convert_straight_skeleton(*iss, bis_qt);
convert_straight_skeleton(*ess, bis_qt);
std::list<QLineF> ppd_qt;
convert_perpendiculars<K>(ppd, ppd_qt);
std::list<QLineF> mt_qt, vl_qt;
convert_mountain_valley<K>(mt, mt_qt);
convert_mountain_valley<K>(vl, vl_qt);
//SETUP QT
//Create applicaiton
QApplication app(argc, argv);
//Create scene
QGraphicsScene scene;
createQTscene(scene, poly_qt, bis_qt, ppd_qt, mt_qt, vl_qt);
//Create view
QGraphicsView* view = new QGraphicsView(&scene);
CGAL::Qt::GraphicsViewNavigation nav;
view->installEventFilter(&nav);
view->viewport()->installEventFilter(&nav);
view->setRenderHint(QPainter::Antialiasing);
//view->keyPressEvent();
//Show view
view->show();
return app.exec();
}
Point_2 centroid(const Polygon_2& P)
{
Point_2 sum(0,0);
BOOST_FOREACH (const Point_2& p, make_pair(P.vertices_begin(), P.vertices_end())) {
sum = Point_2(sum.x() + p.x(), sum.y() + p.y());
}
return Point_2(sum.x()/P.size(), sum.y()/P.size());
}
// This class is mainly used for scaling all the polys to
// a certain bounding box!
void PreProcessor::process(double xmin_target, double ymin_target, double width_target, double height_target) {
auto it = ++tree->element_tree.begin();
auto it_end = tree->element_tree.end();
Bbox_2 bb_final;
Bbox_2 bb;
int i = 0;
for(; it != it_end; ++it) {
switch((*it)->get_type()) {
case EL_POLYGON: {
Polygon_2 * p = &(static_cast<PolygonElementPtr *>(*it)->element);
bb = CGAL::bounding_box(p->vertices_begin(), p->vertices_end()).bbox();
}
case EL_FILLED_POLYGON:{
Polygon_2 * p = &(static_cast<FilledPolygonElementPtr *>(*it)->element.outer_boundary());
bb = CGAL::bounding_box(p->vertices_begin(), p->vertices_end()).bbox();
}
case EL_POLYLINE: {
PolyLine_P * p = &(static_cast<PolyLineElementPtr *>(*it)->element);
bb = CGAL::bounding_box(p->begin(), p->end()).bbox();
}
}
if(i == 0) {
bb_final = bb;
} else {
bb_final = bb_final + bb;
}
i++;
}
double w = bb_final.xmax() - bb_final.xmin();
double h = bb_final.ymax() - bb_final.ymin();
cout << "BB: " << bb_final.xmax()<< " " << bb_final.xmin() << " " << bb_final.ymax() << " " << bb_final.ymin() << endl;
if(GlobalOptions::getInstance().field_offset) {
width_target -= 2 * GlobalOptions::getInstance().field_offset;
height_target -= 2 * GlobalOptions::getInstance().field_offset;
}
double ws = (double)width_target / (double)w;
double hs = (double)height_target / (double)h;
double s = (ws < hs) ? ws : hs;
cout << "Scale: " << s << endl;
this->process(s,
bb_final.xmin() - GlobalOptions::getInstance().field_offset * 1 / s,
bb_final.ymin() - GlobalOptions::getInstance().field_offset * 1 / s); // -bb_final.xmin() -bb_final.ymin();
}
void gnuplot_print_polygon(std::ostream& out, const Polygon_2& P)
{
int prec = out.precision();
out << std::setprecision(pp_precision);
Polygon_2::Vertex_const_iterator vit;
for (vit = P.vertices_begin(); vit != P.vertices_end(); ++vit)
vit->insert(out) << std::endl;//" " << vit->z() << std::endl;
P.vertices_begin()->insert(out) << std::endl;//" " << P.vertices_begin()->z() << std::endl;
out.precision(prec);
}
void gnuplot_print_polygon(std::ostream& out, const Polygon_2& P, int z)
{
int prec = out.precision();
out << std::setprecision(pp_precision);
Polygon_2::Vertex_const_iterator vit;
for (vit = P.vertices_begin(); vit != P.vertices_end(); ++vit)
out << *vit << " " << z << std::endl;
out << *(P.vertices_begin()) << " " << z << std::endl;
out.precision(prec);
}
VisiLibity::Polygon ConvertPolygonCGAL2Vis(Polygon_2 pgn)
{
VisiLibity::Polygon cPoly;
Polygon_2::Vertex_iterator cv ;
for (cv=pgn.vertices_begin();cv!=pgn.vertices_end();++cv)
{
cPoly.push_back(VisiLibity::Point(cv->x(),cv->y()));
};
return cPoly;
}
std::string pp(const Polygon_2& P)
{
Polygon_2::Vertex_const_iterator vit;
std::stringstream out;
out << std::setprecision(pp_precision);
out << "[ " << P.size() << " vertices:";
for (vit = P.vertices_begin(); vit != P.vertices_end(); ++vit)
out << pp(*vit);
out << " ]";
return out.str();
}
/**
* Checks if plg2 is inside plg1
*/
bool is_inside(Polygon_2 plg1, Polygon_2 plg2) {
bool ishole = true;
for (std::vector<Point>::iterator v2 = plg2.vertices_begin();
v2 != plg2.vertices_end();
++v2) {
if(! check_inside(*v2, plg1, K())) {
ishole = false;
break; //stop checking
}
}
return ishole;
}
int distance(const Point_2& p, const Point_2& q, const Polygon_2& P)
{
typedef Polygon_2::Vertex_const_iterator Iter;
typedef iterator_traits<Iter>::difference_type Diff;
Iter pit = find(P.vertices_begin(), P.vertices_end(), p);
Iter qit = find(P.vertices_begin(), P.vertices_end(), q);
if (pit == P.vertices_end() || qit == P.vertices_end()) {
return -1;
}
Diff pbeg = CGAL::iterator_distance(P.vertices_begin(), pit);
Diff qbeg = CGAL::iterator_distance(P.vertices_begin(), qit);
if (qbeg < pbeg) {
std::swap(pit, qit);
std::swap(pbeg, qbeg);
}
Diff pq = CGAL::iterator_distance(pit, qit);
Diff qend = CGAL::iterator_distance(qit, P.vertices_end());
return (int) min(pbeg+qend, pq);
}
void print_ser(std::ostream& out, const Polygon_2& polygon, const string& component)
{
out << "<Contour name=\"" << component << "\" hidden=\"true\" closed=\"true\" simplified=\"true\" border=\"0 1 0\" fill=\"0 1 0\" mode=\"9\"" << endl;
out << "points=\"";
// insert points here
Polygon_2::Vertex_const_iterator vit;
for (vit = polygon.vertices_begin(); vit != polygon.vertices_end(); ++vit) {
out << "\t" << vit->x() << " " << vit->y() << "," << std::endl;
}
out << "\t\"/>" << endl;
}
void printCgalPoly(Polygon_2 poly)
{
int i = 0;
std::cout <<"Printing polygon: size=" << poly.size();
for (Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi)
{
Point_2 v = *vi;
geometry_msgs::Point32 pt;
pt.x = v.x();
pt.y = v.y();
std::cout << i++ << " x=" <<pt.x << ", y=" << pt.y << std::endl;
}
}
void rosPolyFromCgal(Polygon_2& input, geometry_msgs::Polygon& output)
{
std::cout << "Converting to ROS polygon... " << std::endl;
// Iterate through the points for a polygon
for (Vertex_iterator vi = input.vertices_begin(); vi != input.vertices_end(); ++vi)
{
Point_2 v = *vi;
geometry_msgs::Point32 pt;
pt.x = v.x();
pt.y = v.y();
output.points.push_back(pt);
}
}
int main()
{
// build a random convex 20-gon p
Polygon_2 p;
CGAL::random_convex_set_2(20, std::back_inserter(p), Generator(1.0));
std::cout << p << std::endl;
// compute the minimal enclosing strip p_m of p
Line_2 p_m[2];
CGAL::min_strip_2(p.vertices_begin(), p.vertices_end(), p_m);
std::cout << p_m[0] << "\n" << p_m[1] << std::endl;
return 0;
}
void build_skeleton(const char* fname)
{
typedef typename Kernel::Point_2 Point_2;
typedef CGAL::Polygon_2<Kernel> Polygon_2;
typedef CGAL::Straight_skeleton_builder_traits_2<Kernel> SsBuilderTraits;
typedef CGAL::Straight_skeleton_2<Kernel> Ss;
typedef CGAL::Straight_skeleton_builder_2<SsBuilderTraits,Ss> SsBuilder;
Polygon_2 pgn;
std::ifstream input(fname);
FT x,y;
while(input)
{
input >> x;
if (!input) break;
input >> y;
if (!input) break;
pgn.push_back( Point_2( typename Kernel::FT(x), typename Kernel::FT(y) ) );
}
input.close();
std::cout << "Polygon has " << pgn.size() << " points\n";
if(!pgn.is_counterclockwise_oriented()) {
std::cerr << "Polygon is not CCW Oriented" << std::endl;
}
if(!pgn.is_simple()) {
std::cerr << "Polygon is not simple" << std::endl;
}
CGAL::Timer time;
time.start();
SsBuilder ssb;
ssb.enter_contour(pgn.vertices_begin(), pgn.vertices_end());
boost::shared_ptr<Ss> straight_ske = ssb.construct_skeleton();
time.stop();
std::cout << "Time spent to build skeleton " << time.time() << "\n";
if(!straight_ske->is_valid()) {
std::cerr << "Straight skeleton is not valid" << std::endl;
}
std::cerr.precision(60);
print_straight_skeleton(*straight_ske);
}
bool check_inside(Point pt, Polygon_2 pgn, K traits)
{
//std::cout << "The point " << pt;
switch(CGAL::bounded_side_2(pgn.vertices_begin(), pgn.vertices_end(), pt, traits)) {
case CGAL::ON_BOUNDED_SIDE :
//std::cout << " is inside the polygon.\n";
return true;
case CGAL::ON_BOUNDARY:
//std::cout << " is on the polygon boundary.\n";
return false;
case CGAL::ON_UNBOUNDED_SIDE:
//std::cout << " is outside the polygon.\n";
return false;
}
}
int main()
{
// build a random convex 20-gon p
Polygon_2 p;
CGAL::random_convex_set_2(20, std::back_inserter(p), Generator(1.0));
std::cout << p << std::endl;
// compute the minimal enclosing parallelogram p_m of p
Polygon_2 p_m;
CGAL::min_parallelogram_2(
p.vertices_begin(), p.vertices_end(), std::back_inserter(p_m));
std::cout << p_m << std::endl;
return 0;
}
void PreProcessor::process(double scale, double trans_x, double trans_y) {
Transformation trafo_scale(CGAL::SCALING, scale);
Transformation trafo_trans(CGAL::TRANSLATION, Vector_2(-trans_x, -trans_y));
Transformation trafo = trafo_scale * trafo_trans;
// GlobalOptions::getInstance().tree_trafo = trafo;
cout << "Transforming: " << trafo << endl;
auto it = tree->element_tree.begin();
auto it_end = tree->element_tree.end();
for(; it != it_end; ++it) {
switch((*it)->get_type()) {
case EL_POLYGON: {
Polygon_2 * p = &(static_cast<PolygonElementPtr *>(*it)->element);
for(auto poly_it = p->vertices_begin(); poly_it != p->vertices_end(); ++poly_it) {
*poly_it = poly_it->transform(trafo);
}
}
break;
case EL_FILLED_POLYGON: { // Todo transform holes!
FilledPolygonElementPtr * fp = static_cast<FilledPolygonElementPtr *>(*it);
Polygon_with_holes_2 scaled_pwh(transform(trafo, fp->element.outer_boundary()));
for(auto hit = fp->element.holes_begin(); hit != fp->element.holes_end(); ++hit) {
scaled_pwh.add_hole(transform(trafo, (*hit)));
}
cout << "Scaled PWH = " << scaled_pwh << endl;
fp->element = scaled_pwh;
}
break;
case EL_POLYLINE: {
PolyLine_P * p = &(static_cast<PolyLineElementPtr *>(*it)->element);
auto poly_it = p->begin();
auto poly_end = p->end();
for(; poly_it != poly_end; ++poly_it) {
*poly_it = poly_it->transform(trafo);
}
}
break;
}
}
if(tree->startpoint_elem) {
PolyLine_P * p = &(static_cast<PolyLineElementPtr *>(tree->startpoint_elem)->element);
auto poly_it = p->begin();
auto poly_end = p->end();
for(; poly_it != poly_end; ++poly_it) {
*poly_it = poly_it->transform(trafo);
}
}
}
int main() {
int n = 10;
int k = 5;
// generate random convex polygon:
Polygon_2 p;
CGAL::random_convex_set_2(n, std::back_inserter(p), Generator(1));
std::cout << "Generated Polygon:\n" << p << std::endl;
// compute maximum perimeter incribed k-gon of p:
Polygon_2 k_gon;
CGAL::maximum_perimeter_inscribed_k_gon_2(
p.vertices_begin(), p.vertices_end(), k, std::back_inserter(k_gon));
std::cout << "Maximum perimeter " << k << "-gon:\n"
<< k_gon << std::endl;
return 0;
}
Polygon_2 CollisionDetector::translate_polygon_to(const Polygon_2& poly, const Point_2& new_ref_pt) const
{
m_translate_helper.resize(0);
const Point_2 &ref = *poly.left_vertex();
std::pair<double,double> diff(
//Vector_2 diff(
CGAL::to_double(ref.x().exact()) - CGAL::to_double(new_ref_pt.x().exact()),
CGAL::to_double(ref.y().exact()) - CGAL::to_double(new_ref_pt.y().exact())
);
for (Polygon_2::Vertex_const_iterator it = poly.vertices_begin(), it_end = poly.vertices_end(); it != it_end; ++it)
{
m_translate_helper.push_back( Point_2(CGAL::to_double(it->x()) + diff.first, CGAL::to_double(it->y()) + diff.second ) );
//translated.push_back( (*it) + diff );
}
Polygon_2 new_poly(m_translate_helper.begin(),m_translate_helper.end());
return new_poly;
}
// This routine checks whether a poylgon can be inserted into a block such that the interior of the polygon does not at all overlap with used space
// in the block. We COULD do this using boolean operations (E.g. is the intersection of the used block space and our polygon empty?) but we do NOT want
// to. Why? Time to do a boolean op is a function of BOTH polygons, and in a lot of cases the block will be HUGELY complex (imagine a giant forest expanse
// with lots of crap already inserted into it) and our test block will be TINY (a quad). In this case, we get better performance by doing a piece-wise per-side
// test.
// Side note: using the bulk locator totally violates this principle...we will probably need to replace it with a walk location strategy.
// So we use the zone utility to see what we'll hit as we go along our edges.
bool can_insert_into_block(
Block_2& block,
const Polygon_2& bounds)
{
// Run a bulk location on the entire block...TBD: there may be blocks where sweeping is worse than marching.
// Anyway, we get a bunch of pairs of the locate point and the actual part of the arrangement we hit.
vector<pair<Point_2, CGAL::Object> > pts;
CGAL::locate(block, bounds.vertices_begin(), bounds.vertices_end(), back_inserter(pts));
// Quick check: if ANY of our points are inside a non empty face, we are by definition hosed.
// We can see this now just from the location data.
Block_2::Face_const_handle ff;
for(int n = 0; n < pts.size(); ++n)
if(CGAL::assign(ff,pts[n].second))
if(ff->data().usage != usage_Empty)
return false;
for(int n = 0; n < pts.size(); ++n)
{
// We are now going to go through each side and do a zone test. This will check whether it is
// either running along a full area or crashing through it.
int m = (n+1)%pts.size();
check_block_visitor v;
v.cv = Block_2::X_monotone_curve_2(Segment_2(pts[n].first, pts[m].first));
CGAL::Arrangement_zone_2<Block_2,check_block_visitor> zone(block, &v);
if(v.cv.is_directed_right())
zone.init_with_hint(v.cv,pts[n].second);
else
zone.init_with_hint(v.cv,pts[m].second);
zone.compute_zone();
if(!v.ok)
return false;
}
return true;
}
vector<ofVec3f> ofApp::offsetCell(list<int> & crv, AnisoPoint2f & pt) {
float scaling = 1000;
ClipperOffset co;
co.ArcTolerance = 1;
Path P;
Paths offsetP;
float offset = ofClamp(offsetPercent / sqrt(pt.jacobian->determinant()), minThick*0.5, maxThick*0.5);
if (doSmooth) {
for (auto index : crv) {
ofVec3f v = linesMesh.getVertex(index);
IntPoint iPt(v.x * scaling, v.y * scaling);
P.push_back(iPt);
}
co.AddPath(P, jtRound, etClosedPolygon);
co.Execute(offsetP, -offset*scaling);
if(offsetP.size() == 0) return vector<ofVec3f>();
P.clear();
ofVec2f center;
for (auto & v : offsetP[0]) {
//ofVec3f v = linesMesh.getVertex(index);
Vector2f p(v.X, v.Y);
p = (*pt.jacobian)*p;
IntPoint iPt(p.coeff(0), p.coeff(1));
P.push_back(iPt);
center += ofVec2f(iPt.X, iPt.Y);
}
center /= crv.size();
CleanPolygon(P);
co.Clear();
co.AddPath(P, jtRound, etClosedPolygon);
float radius = 9e20;
//get exact radius from straight skeleton
Polygon_2 poly;
for (auto & pt : P) {
poly.push_back(Point_2(pt.X, pt.Y));
}
boost::shared_ptr<Ss> iss = CGAL::create_interior_straight_skeleton_2(poly.vertices_begin(), poly.vertices_end());
radius = 0;
for (Ss::Vertex_handle vh = iss->vertices_begin(); vh != iss->vertices_end(); vh++) {
if (!vh->has_infinite_time()) {
radius = max(radius, (float)vh->time());
}
}
//estimate radius
//for (auto & iPt : P) {
// radius = min(radius, (iPt.X - center.x)*(iPt.X - center.x) + (iPt.Y - center.y)*(iPt.Y - center.y));
//}
//radius = sqrt(radius);
//co.Execute(offsetP, -radius);
//int tries = 0;
//while (offsetP.size() == 0 && tries < 50) {
// radius *= .95;
// co.Execute(offsetP, -radius);
// tries++;
//}
//cout << tries << endl;
radius *= filletPercent;
co.Execute(offsetP, -radius);
//radius = min(radius,(radius - offset*scaling)*filletPercent + offset*scaling);
//co.Execute(offsetP, -offset*scaling);
vector<ofVec3f> offsetPts;
if (offsetP.size() > 0) {
//visual offset for etching
co.Clear();
CleanPolygons(offsetP);
co.AddPaths(offsetP, jtRound, etClosedPolygon);
co.Execute(offsetP, radius);
CleanPolygons(offsetP);
Path longestP;
int pLen = 0;
for (auto & oP : offsetP) {
if (oP.size() > pLen) {
pLen = oP.size();
longestP = oP;
}
}
Matrix2f inverse = pt.jacobian->inverse();
if (doEtchOffset) {
co.Clear();
for (auto & lPt : longestP) {
Vector2f anisoPt(lPt.X, lPt.Y);
anisoPt = inverse*anisoPt;
lPt.X = anisoPt[0];
lPt.Y = anisoPt[1];
}
co.AddPath(longestP, jtRound, etClosedPolygon);
co.Execute(offsetP, etchOffset*scaling);
longestP = offsetP[0];
}
for (int i = 0; i < longestP.size(); i++) {
//ofVec3f pt3D(oP[i].X / scaling, oP[i].Y/ scaling);
Vector2f anisoPt(longestP[i].X / scaling, longestP[i].Y / scaling);
if(!doEtchOffset)anisoPt = inverse*anisoPt;
offsetPts.push_back(ofVec3f(anisoPt.coeff(0), anisoPt.coeff(1)));
}
}
return offsetPts;
}
else {
for (auto index : crv) {
ofVec3f v = linesMesh.getVertex(index);
IntPoint iPt(v.x * scaling, v.y * scaling);
P.push_back(iPt);
}
CleanPolygon(P);
//Paths simplerP;
//SimplifyPolygon(P, simplerP);
//CleanPolygons(simplerP);
//P = simplerP[0];
//CleanPolygon(P);
//Polygon_2 poly;
//for (auto & pt : P) {
// poly.push_back(Point_2(pt.X, pt.Y));
//}
//boost::shared_ptr<Ss> iss = CGAL::create_interior_straight_skeleton_2(poly.vertices_begin(), poly.vertices_end());
//float radius = 0;
//for (Ss::Vertex_handle vh = iss->vertices_begin(); vh != iss->vertices_end(); vh++) {
// if (!vh->has_infinite_time()) {
// radius = max(radius, (float)vh->time());
// }
//}
//Paths simplerP;
//SimplifyPolygon(P, simplerP);
//co.AddPaths(simplerP, jtRound, etClosedPolygon);
//radius = ofClamp(radius*offsetPercent, minThick*0.5*scaling, maxThick*0.5*scaling);
co.AddPath(P, jtRound, etClosedPolygon);
co.Execute(offsetP, -offset*scaling);
vector<ofVec3f> offsetPts;
if (offsetP.size() > 0) {
CleanPolygons(offsetP);
if (doEtchOffset) {
co.Clear();
co.AddPaths(offsetP, jtRound, etClosedPolygon);
co.Execute(offsetP, etchOffset*scaling);
}
else {
co.Clear();
co.AddPaths(offsetP, jtRound, etClosedPolygon);
co.Execute(offsetP, 1);
}
Path longestP;
int pLen = 0;
for (auto & oP : offsetP) {
if (oP.size() > pLen) {
pLen = oP.size();
longestP = oP;
}
}
Path & oP = longestP;
for (int i = 0; i < oP.size(); i++) {
ofVec3f pt3D(oP[i].X / scaling, oP[i].Y/ scaling);
offsetPts.push_back(pt3D);
}
}
return offsetPts;
}
}