void R_s_k_2::draw_edge(const Edge& edge)
{
int i = edge.second;
Face_handle face = edge.first;
Point a = face->vertex((i+1)%3)->point();
Point b = face->vertex((i+2)%3)->point();
draw_segment(a, b);
}
void Mesh::Vertex::computeNormal()
{
for(int i = 0; i < numFaces(); ++i)
{
Face_handle v = face(i);
m_normal += v->normal();
}
m_normal.unitize();
}
bool
emptyLatticeTriangle( const Delaunay & t, const Face_handle & f )
{
if ( t.is_infinite( f ) ) return false;
Z2i::Point a( toDGtal(f->vertex(0)->point())),
b(toDGtal(f->vertex(1)->point())),
c(toDGtal(f->vertex(2)->point()));
Z2i::Vector ab( b - a ), ac( c - a );
int d = ab[ 0 ] * ac[ 1 ] - ab[ 1 ] * ac[ 0 ];
return ( d == 1 ) || (d == -1 );
}
void Foam::CV2D::external_flip(Face_handle& f, int i)
{
Face_handle n = f->neighbor(i);
if
(
CGAL::ON_POSITIVE_SIDE
!= side_of_oriented_circle(n, f->vertex(i)->point())
) return;
flip(f, i);
i = n->index(f->vertex(i));
external_flip(n, i);
}
void Mesh::commitRemove()
{
// first go over all the points and tell them where they go
int count = 0;
for(int i = 0; i < numVtx(); ++i)
{
Vertex_handle v = find_vertex(i);
if (v->m_tran == -1)
v->m_index = count++;
else
v->m_index = -1; // to be removed
v->m_tran = -1;
}
// no go over the faces and transfer their point references
count = 0;
for(int i = 0; i < numFaces(); ++i)
{
Face_handle f = find_facet(i);
bool remove = false;
for(int ii = 0; ii < f->size(); ++ii)
{
int newvi = find_vertex(f->m_pi[ii])->m_index;
f->m_pi[ii] = newvi;
remove |= (newvi == -1);
}
if (!remove)
f->m_index = count++;
else
f->m_index = -1;
}
// actually remove the vertices
Vertex_iterator vit = vertices_begin();
while(vit != vertices_end())
{
if (vit->m_index == -1)
vit = m_vtx.erase(vit);
else
++vit;
}
// remove faces
Face_iterator fit = faces_begin();
while(fit != faces_end())
{
if (fit->m_index == -1)
fit = m_face.erase(fit);
else
++fit;
}
}
void Foam::CV2D::fast_restore_Delaunay(Vertex_handle vh)
{
int i;
Face_handle f = vh->face(), next, start(f);
do
{
i=f->index(vh);
if (!is_infinite(f))
{
if (!internal_flip(f, cw(i))) external_flip(f, i);
if (f->neighbor(i) == start) start = f;
}
f = f->neighbor(cw(i));
} while (f != start);
}
virtual void after_split_face (Face_handle /* old_face */,
Face_handle new_face, bool )
{
// Assign index to the new face.
new_face->set_data (n_faces);
n_faces++;
}
bool recurse(Face_handle current_face, long d, vector<Face_handle>& visited, Triangulation t) {
// Remember we visited this node
visited.push_back(current_face);
cout << "Recursion at: " << t.dual(current_face) << endl;
// Base of recursion: check if we are free
if(t.is_infinite(current_face)) {
cout << "Infinite face!" << endl;
return true;
}
for(int neighbor_num=0; neighbor_num<3; neighbor_num++) {
Face_handle neighbor_face = current_face->neighbor(neighbor_num);
//cout << (current_face == neighbor_face) << endl;
cout << "\tChecking neighbor of vertex " << current_face->vertex(neighbor_num)->point() << endl;
cout << "\tPoints: ";
for(int j=0; j<3; j++) {
cout << neighbor_face->vertex(j)->point() << ", ";
}
cout << endl;
// If we already visited
if(find(visited.begin(), visited.end(), current_face) != visited.end()) {
continue;
}
Vertex_handle border_endpoint1 = current_face->vertex((neighbor_num + 1) % 3);
Vertex_handle border_endpoint2 = current_face->vertex((neighbor_num + 2) % 3);
K::FT border_length_sq = CGAL::squared_distance(border_endpoint1->point(), border_endpoint2->point());
if(CGAL::to_double(border_length_sq) >= 4 * d) { // If we can fit through that edge
// cout << "can fit through edge " << neighbor_num << endl;
// New search starting from neighbor
if(recurse(neighbor_face, d, visited, t)) {
return true;
}
} else {
cout << "cannot fit through edge :S" << endl;
}
}
return false;
}
bool Foam::CV2D::internal_flip(Face_handle& f, int i)
{
Face_handle n = f->neighbor(i);
if
(
CGAL::ON_POSITIVE_SIDE
!= side_of_oriented_circle(n, f->vertex(i)->point())
)
{
return false;
}
flip(f, i);
return true;
}
void ApplyObjects(Pmwx& ioMap)
{
if (gFAAObs.empty()) return;
Point_2 sw, ne;
CalcBoundingBox(ioMap, sw, ne);
// ioMap.Index();
int placed = 0;
// CGAL::Arr_landmarks_point_location<Arrangement_2> locator(gMap);
CGAL::Arr_walk_along_line_point_location<Arrangement_2> locator(gMap);
for (FAAObsTable::iterator i = gFAAObs.begin(); i != gFAAObs.end(); ++i)
{
if (i->second.kind != NO_VALUE)
{
Point_2 loc = Point_2(i->second.lon, i->second.lat);
DebugAssert(CGAL::is_valid(gMap));
CGAL::Object obj = locator.locate(loc);
Face_const_handle ff;
if(CGAL::assign(ff,obj))
{
Face_handle f = ioMap.non_const_handle(ff);
GISPointFeature_t feat;
feat.mFeatType = i->second.kind;
feat.mLocation = loc;
if (i->second.agl != DEM_NO_DATA)
feat.mParams[pf_Height] = i->second.agl;
feat.mInstantiated = false;
f->data().mPointFeatures.push_back(feat);
++placed;
#if 0
printf("Placed %s at %lf, %lf\n",
FetchTokenString(i->second.kind), i->second.lon, i->second.lat);
#endif
// if (v.size() > 1)
// fprintf(stderr,"WARNING (%d,%d): Point feature %lf, %lf matches multiple areas.\n",gMapWest, gMapSouth, CGAL::to_double(loc.x()), CGAL::to_double(loc.y()));
}
}
}
printf("Placed %d objects.\n", placed);
}
void BuildCGALPolygon<HDS>::operator()( HDS& hds){
CGAL::Polyhedron_incremental_builder_3<HDS> B( hds, true);
B.begin_surface( this->pts->GetNumberOfPoints(), this->polys->GetNumberOfCells(), 0);
typedef typename HDS::Vertex Vertex;
typedef typename Vertex::Point Point;
vtkIdType npts = 0;
vtkIdType *indx;
double vertex[3];
for (int i = 0; i != this->pts->GetNumberOfPoints(); i++ ){
this->pts->GetPoint(i, vertex);
B.add_vertex( Point( vertex[0], vertex[1], vertex[2]));
}
int j = 0;
Face_handle face;
for (this->polys->InitTraversal(); this->polys->GetNextCell(npts,indx); ){
if(indx[0] != indx[1] & indx[0] != indx[2] & indx[1] != indx[2]){
//VTK polygons can contain lines where two vertexes are identical. Forget these
if (B.test_facet(indx, indx+3)){
face = B.begin_facet();
B.add_vertex_to_facet( indx[0]);
B.add_vertex_to_facet( indx[1]);
B.add_vertex_to_facet( indx[2]);
B.end_facet();
//cout << this->IoletIdArray->GetValue(j) << endl;
face->id() = IoletIdArray->GetValue(j) + 2;
//the face id is size_t i.e. unsigned so we shift this to positive. 1 is wall. 2,3 ... are
//the inlets and outlets.
}
else
cout << "Ignoring Non manifold facet between: " << indx[0] << " " << indx[1] << " " << indx[2] << endl;
}
else{
cout << "Eleminated degenerate vertex: " << indx[0] << " " << indx[1] << " " << indx[2] << endl;
}
++j;
}
B.end_surface();
//cout << B.check_unconnected_vertices () << endl;
B.remove_unconnected_vertices();
//cout << B.check_unconnected_vertices () << endl;
}
void R_s_k_2::draw_face(Face_handle face)
{
viewer->glBegin(GL_TRIANGLES);
for (int i = 0; i < 3; ++i)
{
Point p = face->vertex(i)->point();
viewer->glVertex2f(p.x(), p.y());
}
viewer->glEnd();
}
void findOutsideSegment( Triangulation &t, Face_handle fh, int currentSegment, int commingFromIndex, int &outsideSegment )
{
// if the face is an infinite face
// then we know the outside segment which is the
// current segment
if( t.is_infinite(fh) )
{
if( (outsideSegment != -1)&&(outsideSegment != currentSegment) )
printf( "error : different outsideSegments detected during triangulation (edgeloop not closed?)\n" );
outsideSegment = currentSegment;
return;
}
// if there is already a segment identifier, then we know that
// the face has already been visited
if( fh->info() != -1 )
return;
fh->info() = currentSegment;
for( int i=0; i<3; ++i )
{
// get edge associated with the index i
std::pair<Face_handle, int> edge = std::make_pair( fh, i );
if( i == commingFromIndex )
continue;
// if the edge is a constrained edge, then we know this is the border
if(t.is_constrained(edge))
{
//...and we have to pass a madified currentSegment value
findOutsideSegment( t, fh->neighbor(i), (currentSegment+1)%2, t.mirror_index( fh, i), outsideSegment );
}else
//...else we recurse and leave the currentSegment value untouched
findOutsideSegment( t, fh->neighbor(i), currentSegment, t.mirror_index( fh, i), outsideSegment );
}
}
void
discoverInfiniteComponent(const CDT & ct)
{
//when this function is called, all faces are set "in_domain"
Face_handle start = ct.infinite_face();
std::list<Face_handle> queue;
queue.push_back(start);
while(! queue.empty())
{
Face_handle fh = queue.front();
queue.pop_front();
fh->set_in_domain(false);
for(int i = 0; i < 3; i++)
{
Face_handle fi = fh->neighbor(i);
if(fi->is_in_domain()
&& !ct.is_constrained(CDT::Edge(fh,i)))
queue.push_back(fi);
}
}
}
void CriticalCurves::setParameters(double radius_1, double radius_2, Arrangements_2 insets_1, Arrangements_2 insets_2)
{
Arrangement_2_iterator inset_1 = insets_1.begin();
Arrangement_2_iterator inset_2 = insets_2.begin();
while (inset_1 != insets_1.end() && inset_2 != insets_2.end())
{
Arrangement_2 arrangement;
// Add the curves of the inset.
for (Edge_iterator edge = inset_1->edges_begin(); edge != inset_1->edges_end(); ++edge)
{
insert(arrangement, edge->curve());
}
// Add the critical curves of type I.
for (Edge_iterator edge = inset_2->edges_begin(); edge != inset_2->edges_end(); ++edge)
{
if (CGAL::COLLINEAR == edge->curve().orientation())
{
// Displaced a segment.
Nt_traits nt_traits;
Algebraic_ft factor = nt_traits.convert(Rational(radius_1) + Rational(radius_2));
Conic_point_2 source = edge->curve().source();
Conic_point_2 target = edge->curve().target();
Algebraic_ft delta_x = target.x() - source.x();
Algebraic_ft delta_y = target.y() - source.y();
Algebraic_ft length = nt_traits.sqrt(delta_x * delta_x + delta_y * delta_y);
Algebraic_ft translation_x = factor * delta_y / length;
Algebraic_ft translation_y = - factor * delta_x / length;
Conic_point_2 point_1(source.x() + translation_x, source.y() + translation_y);
Conic_point_2 point_2(target.x() + translation_x, target.y() + translation_y);
Algebraic_ft a = - delta_y;
Algebraic_ft b = delta_x;
Algebraic_ft c = factor * length - (source.y() * target.x() - source.x() * target.y());
X_monotone_curve_2 x_monotone_curve(a, b, c, point_1, point_2);
insert(arrangement, x_monotone_curve);
}
else
{
// Displaces an arc.
Rational two(2);
Rational four(4);
Rational r = edge->curve().r();
Rational s = edge->curve().s();
Rational t = edge->curve().t();
Rational u = edge->curve().u();
Rational v = edge->curve().v();
Rational w = edge->curve().w();
Nt_traits nt_traits;
Rational x_center = - u / (two * r);
Rational y_center = - v / (two * r);
Rat_point_2 rat_center(x_center, y_center);
Conic_point_2 center(nt_traits.convert(x_center), nt_traits.convert(y_center));
Rational radius = Rational(radius_1) + two * Rational(radius_2);
Algebraic_ft coefficient = nt_traits.convert(radius / Rational(radius_2));
Conic_point_2 source_1 = edge->curve().source();
Algebraic_ft x_source_2 = center.x() + coefficient * (source_1.x() - center.x());
Algebraic_ft y_source_2 = center.y() + coefficient * (source_1.y() - center.y());
Conic_point_2 source_2(x_source_2, y_source_2);
Conic_point_2 target_1 = edge->curve().target();
Algebraic_ft x_target_2 = center.x() + coefficient * (target_1.x() - center.x());
Algebraic_ft y_target_2 = center.y() + coefficient * (target_1.y() - center.y());
Conic_point_2 target_2(x_target_2, y_target_2);
Rat_circle_2 circle(rat_center, radius * radius);
Conic_arc_2 conic_arc(circle, CGAL::COUNTERCLOCKWISE, source_2, target_2);
insert(arrangement, conic_arc);
}
}
// Add the critical curves of type II.
for (Edge_iterator edge = inset_2->edges_begin(); edge != inset_2->edges_end(); ++edge)
{
double x = CGAL::to_double(edge->curve().source().x());
double y = CGAL::to_double(edge->curve().source().y());
double radius = radius_1 + radius_2;
Rat_point_2 center(x, y);
Rat_circle_2 circle(center, radius * radius);
Conic_arc_2 conic_arc(circle);
insert(arrangement, conic_arc);
}
// Remove the curves which are not include in the inset.
Objects objects;
Face_handle face;
for (Edge_iterator edge = arrangement.edges_begin(); edge != arrangement.edges_end(); ++edge)
{
CGAL::zone(*inset_1, edge->curve(), std::back_inserter(objects));
for (Object_iterator object = objects.begin(); object != objects.end(); ++object)
{
if (assign(face, *object))
{
if (face->is_unbounded())
{
remove_edge(arrangement, edge);
break;
}
}
}
objects.clear();
}
// Print essential information on the standard input.
std::cout << "Arrangement:" << std::endl;
std::cout << " Number of vertices: " << arrangement.number_of_vertices() << std::endl;
std::cout << " Number of edges : " << arrangement.number_of_edges() << std::endl;
std::cout << " Number of face : " << arrangement.number_of_faces() << std::endl;
this->critical_curves.push_back(arrangement);
++inset_1;
++inset_2;
}
// Commit changes.
emit(criticalCurvesChanged());
return;
}
/**
* Returns an alpha shape but as lines instead of only points.
*/
std::list<std::pair<Shared_Point,Shared_Point> > Hull::alphaHull2D(const std::list<Point> points,double alpha){
//iHt dt;
std::list<std::pair<Shared_Point,Shared_Point> > resultingEdges;
if(points.size() < 3) return resultingEdges;
#ifdef NO_HULL_CALCULATION
if(points.size() == 4){
std::list<Point>::const_iterator it = points.begin();
Shared_Point p0(new Point(it->p[0], 0, it->p[2]));
it++;
Shared_Point p1(new Point(it->p[0], 0, it->p[2]));
it++;
Shared_Point p2(new Point(it->p[0], 0, it->p[2]));
it++;
Shared_Point p3(new Point(it->p[0], 0, it->p[2]));
resultingEdges.push_back(std::pair<Shared_Point,Shared_Point>(p0,p1));
resultingEdges.push_back(std::pair<Shared_Point,Shared_Point>(p1,p2));
resultingEdges.push_back(std::pair<Shared_Point,Shared_Point>(p2,p3));
resultingEdges.push_back(std::pair<Shared_Point,Shared_Point>(p3,p0));
return resultingEdges;
}else{
fprintf(stderr,"Cannot Compute no hull\n");
}
#endif
std::vector<K::Point_2> dt;
dt.reserve(points.size());
for(std::list<Point>::const_iterator it=points.begin(); it!=points.end(); it++){
K::Point_2 p((*it).p[0],(*it).p[2]);
dt.push_back(p);
}
try{
Alpha_shape_2 as(dt.begin(),dt.end(),alpha);//Alpha_shape_2::REGULARIZED);
//Alpha_shape_2 as(dt.begin(),dt.end(),Alpha_shape_2::REGULARIZED);
//std::cout << "Alpha shape computed in REGULARIZED mode by defaut."<< std::endl;
//Alpha_iterator opt = as.find_optimal_alpha(1);
//as.set_alpha(*opt);
for(Alpha_shape_2::Alpha_shape_edges_iterator it = as.alpha_shape_edges_begin(); it != as.alpha_shape_edges_end(); it++){
Edge e = (*it);
Face_handle f = e.first;
int i = e.second;
Alpha_shape_2::Vertex_handle vh1 = f->vertex(f->cw(i));
Alpha_shape_2::Vertex_handle vh2 = f->vertex(f->ccw(i));
K::Point_2& p1 = vh1->point();
K::Point_2& p2 = vh2->point();
std::pair<Shared_Point,Shared_Point> pair(Shared_Point(new Point(p1.x(),0,p1.y())),Shared_Point(new Point(p2.x(),0,p2.y())));
resultingEdges.push_back(pair);
}
}catch( ...){
printf("Catched Unknown Cgal Exception adding plane without generatig shape\n");
}
return resultingEdges;
}
int main()
{
Triangulation t;
Face_handle fh;
// Check the empty triangulation
fh = test_point_location(t, Point(0.5, 0.5), Triangulation::EMPTY);
CGAL_assertion(fh == Face_handle());
// Insert the first point
Point p0(0.5, 0.5);
Vertex_handle vh0 = t.insert(p0);
CGAL_assertion(t.is_valid(true));
CGAL_USE(vh0);
fh = test_point_location(t, p0, Triangulation::VERTEX);
CGAL_assertion(fh->has_vertex(vh0));
fh = test_point_location(t, p0 + Vector(0.1, 0.1), Triangulation::EDGE);
CGAL_assertion(fh->has_vertex(vh0));
fh = test_point_location(t, p0 + Vector(-0.1, -0.1), Triangulation::EDGE);
CGAL_assertion(fh->has_vertex(vh0));
fh = test_point_location(t, p0 + Vector(-0.2, -0.3), Triangulation::FACE);
CGAL_assertion(fh->has_vertex(vh0));
CGAL_assertion(t.is_valid(true));
// Insert the second point on an edge
Point p1(0.7, 0.7);
Vertex_handle vh1 = t.insert(p1);
CGAL_USE(vh1);
CGAL_assertion(t.is_valid(true));
fh = test_point_location(t, p0, Triangulation::VERTEX);
CGAL_assertion(fh->has_vertex(vh0));
fh = test_point_location(t, p1, Triangulation::VERTEX);
CGAL_assertion(fh->has_vertex(vh1));
fh = test_point_location(t, p0 + Vector(0.1, 0.1), Triangulation::EDGE);
CGAL_assertion(fh->has_vertex(vh0));
CGAL_assertion(fh->has_vertex(vh1));
fh = test_point_location(t, p0 + Vector(-0.1, -0.1), Triangulation::EDGE);
CGAL_assertion(fh->has_vertex(vh0));
CGAL_assertion(!fh->has_vertex(vh1));
fh = test_point_location(t, p1 + Vector(0.1, 0.1), Triangulation::EDGE);
CGAL_assertion(!fh->has_vertex(vh0));
CGAL_assertion(fh->has_vertex(vh1));
fh = test_point_location(t, p0 + Vector(-0.02, -0.03), Triangulation::FACE);
CGAL_assertion(fh->has_vertex(vh0));
fh = test_point_location(t, p1 + Vector(-0.02, -0.03), Triangulation::FACE);
CGAL_assertion(fh->has_vertex(vh1));
CGAL_assertion(t.is_valid(true));
// Insert the third point in a face
Point p2(0.8, 0.6);
Vertex_handle vh2 = t.insert(p2);
CGAL_USE(vh2);
CGAL_assertion(t.is_valid(true));
fh = test_point_location(t, p0, Triangulation::VERTEX);
CGAL_assertion(fh->has_vertex(vh0));
fh = test_point_location(t, p1, Triangulation::VERTEX);
CGAL_assertion(fh->has_vertex(vh1));
fh = test_point_location(t, p2, Triangulation::VERTEX);
CGAL_assertion(fh->has_vertex(vh2));
fh = test_point_location(t, Point(0.6, 0.6), Triangulation::EDGE);
CGAL_assertion(fh->has_vertex(vh0));
CGAL_assertion(fh->has_vertex(vh1));
test_point_location(t, Point(0.7, 0.6), Triangulation::FACE);
test_point_location(t, p0 + Vector(-0.02, -0.03), Triangulation::FACE);
test_point_location(t, p0 + Vector(0.02, -0.03), Triangulation::FACE);
test_point_location(t, p0 + Vector(-0.02, 0.03), Triangulation::FACE);
test_point_location(t, p0 + Vector(0.02, 0.03), Triangulation::FACE);
return 0;
}
void Foam::CV2D::extractPatches
(
wordList& patchNames,
labelList& patchSizes,
EdgeMap<label>& mapEdgesRegion,
EdgeMap<label>& indirectPatchEdge
) const
{
label nPatches = qSurf_.patchNames().size() + 1;
label defaultPatchIndex = qSurf_.patchNames().size();
patchNames.setSize(nPatches);
patchSizes.setSize(nPatches, 0);
mapEdgesRegion.clear();
const wordList& existingPatches = qSurf_.patchNames();
forAll(existingPatches, sP)
{
patchNames[sP] = existingPatches[sP];
}
patchNames[defaultPatchIndex] = "CV2D_default_patch";
for
(
Triangulation::Finite_edges_iterator eit = finite_edges_begin();
eit != finite_edges_end();
++eit
)
{
Face_handle fOwner = eit->first;
Face_handle fNeighbor = fOwner->neighbor(eit->second);
Vertex_handle vA = fOwner->vertex(cw(eit->second));
Vertex_handle vB = fOwner->vertex(ccw(eit->second));
if
(
(vA->internalOrBoundaryPoint() && !vB->internalOrBoundaryPoint())
|| (vB->internalOrBoundaryPoint() && !vA->internalOrBoundaryPoint())
)
{
point ptA = toPoint3D(vA->point());
point ptB = toPoint3D(vB->point());
label patchIndex = qSurf_.findPatch(ptA, ptB);
if (patchIndex == -1)
{
patchIndex = defaultPatchIndex;
WarningInFunction
<< "Dual face found that is not on a surface "
<< "patch. Adding to CV2D_default_patch."
<< endl;
}
edge e(fOwner->faceIndex(), fNeighbor->faceIndex());
patchSizes[patchIndex]++;
mapEdgesRegion.insert(e, patchIndex);
if (!pointPair(*vA, *vB))
{
indirectPatchEdge.insert(e, 1);
}
}
}
}
int main()
{
Triangulation t;
Vector midpoint(0.5, 0.5);
Face_handle fh;
Triangulation::Locate_type lt;
int i;
fh = t.locate(Point(0, 0) + midpoint, lt, i);
CGAL_assertion(lt == Triangulation::EMPTY);
Vertex_handle vh_midpoint = t.insert(Point(0, 0) + midpoint);
fh = t.locate(Point(0, 0) + midpoint, lt, i);
CGAL_assertion(lt == Triangulation::VERTEX && fh->vertex(i) == vh_midpoint);
t.remove(vh_midpoint);
CGAL_assertion(t.empty());
// High degree vertex
for (int n = 3; n < 8; ++n)
{
vh_midpoint = t.insert(Point(0, 0) + midpoint);
for (int i = 0; i < n; ++i)
{
t.insert(Point(0.3 * sin(i * 1.0 / n * 2 * M_PI), 0.3 * cos(i * 1.0 / n * 2 * M_PI)) + midpoint);
}
t.remove(vh_midpoint);
CGAL_assertion(t.is_valid(true));
while (!t.empty())
{
t.remove(t.vertices_begin());
CGAL_assertion(t.is_valid(true));
}
}
Random random(1284141159);
std::cout << "Seed: " << random.get_seed () << std::endl;
Random_points_in_square g(0.495, random);
CGAL_assertion(t.is_valid());
std::cout << "Removing first point" << std::endl;
Vertex_handle vh0 = t.insert(Point(0.5, 0.5));
CGAL_assertion(t.is_valid());
t.remove(vh0);
CGAL_assertion(t.is_valid());
CGAL_assertion(t.empty());
{
Random random(1284141159);
std::cout << "Seed: " << random.get_seed () << std::endl;
Random_points_in_square g(0.495, random);
Vector midpoint(0.5, 0.5);
Triangulation t;
CGAL_assertion(t.is_valid());
std::cout << "Removing first point" << std::endl;
Vertex_handle vh0 = t.insert(Point(0.5, 0.5));
CGAL_assertion(t.is_valid());
t.remove(vh0);
CGAL_assertion(t.is_valid());
CGAL_assertion(t.empty());
std::cout << "Inserting random points and removing them." << std::endl;
for (int i = 0; i < N_PTS; ++i)
{
t.insert(*(++g) + midpoint);
}
CGAL_assertion(t.is_valid());
for (int i = 0; i < N_PTS; ++i)
{
// Find a random vertex
Vertex_handle vh = t.locate(*(++g) + midpoint)->vertex(0);
vh = t.get_original_vertex(vh);
t.remove(vh);
CGAL_assertion(t.is_valid());
}
}
return 0;
}
/*! Create a face f that matches the overlapping region between f1 and f2. */
virtual void create_face(Face_const_handle f1, Face_const_handle f2,
Face_handle f) const
{ f->set_data(f1->data() + f2->data()); }
void Mesh::computeCentricity(QWidget* guiParent)
{
// float maxCentricity = -FLT_MAX;
// float minCentricity = FLT_MAX;
QProgressDialog *prog = NULL;
if (guiParent)
prog = new QProgressDialog("Building centricity", "Stop", 0, numVtx(), guiParent);
int counter = 0;
int total = size_of_vertices();
for (Mesh::Vertex_iterator it = vertices_begin(); it != vertices_end(); ++it)
{
if (guiParent)
{
prog->setValue(counter);
QCoreApplication::processEvents();
if (prog->wasCanceled())
return;
}
counter++;
double distanceSum = 0.0;
int count = 0;
dijkstra(&*it);
for (Mesh::Vertex_iterator n = vertices_begin(); n != vertices_end(); ++n)
{
if (n->distance() != FLT_MAX)
{
count++;
distanceSum += n->distance();
}
}
it->centricity(distanceSum/(double)count);
// if (it->centricity() > maxCentricity) maxCentricity = it->centricity();
// if (it->centricity() < minCentricity) minCentricity = it->centricity();
// printf("%d = %f\n", counter, it->centricity());
}
delete prog;
//if (m_normalize )
//{
//report("normalizing values");
/*for (Mesh::Vertex_iterator it = m_mesh->vertices_begin();
it != m_mesh->vertices_end();
it++)
{
if (it->centricity() != FLT_MAX)
it->centricity() = (it->centricity() - minCentricity) / (maxCentricity - minCentricity);
}*/
//normalizeByComponents();
//}
// facet centricity is the average of the vertices.
float featureMin = FLT_MAX;
float featureMax = -FLT_MAX;
for (Mesh::Face_iterator fit = faces_begin(); fit != faces_end(); ++fit)
{
Face_handle fh = &*fit;
float val = 0.0;
for(int fii = 0; fii < fh->size(); ++fii)
{
Vertex_handle cv = fh->vertex(fii);
val += cv->centricity();
}
val /= fh->size();
fh->centricity() = val;
if (val < featureMin)
featureMin = val;
if (val > featureMax)
featureMax = val;
}
float divwith = 1.0 / (featureMax - featureMin);
for (Mesh::Face_iterator fit = faces_begin(); fit != faces_end(); ++fit)
{
Face_handle fh = &*fit;
fh->centricity() = (fh->centricity() - featureMin) * divwith;
}
m_hasCentricity = true;
}
int
twiceNbLatticePointsInTriangle( const Delaunay & t, const Face_handle & f )
{
return twiceNbLatticePointsInTriangle( t, f->vertex(0), f->vertex(1), f->vertex(2) );
}
//
// Retriangulates a hole within the mesh. The hole is specified through an edgeloop(closed sequence of edges).
// In addition an optional number of points can be specified which will be included in the triangulation.
//
void MeshEx::retriangulateHole( std::vector<MeshEx::Edge *> &boundaryEdges, std::map<MeshEx::Vertex *, math::Vec2f> &boundaryVertexProjections, std::vector<std::pair<math::Vec3f, math::Vec2f> > &interiorPoints )
{
std::map<Vertex_handle, MeshEx::Vertex*> vertexMap; // used to map cgal vertex_handles to vertices
std::vector<MeshEx::Edge *> edges; // this vector will hold all edges which were involved (for faster edge search)
// algorithm:
// - prepare data
// - find all boundary vertices
// - prepare CGAL constrained triangulation
// - insert boundary vertices into triangulation and build mapping from Triangulation vertices to MeshEx::Vertices
// - use the boundary edges as constrained edges
// - insert points into triangulation from interiorPoints and build mapping from Triangulation vertices to MeshEx::Vertices
// - extract triangulation results
// - ?
// prepare algorithm ----------------------------------------------------------
/*
// obsolete since we get the boundary vertices with the boundaryVertexProjections
// find boundary vertices
for( std::vector<MeshEx::Edge *>::iterator it = boundaryEdges.begin(); it != boundaryEdges.end(); ++it )
{
MeshEx::Edge *e = *it;
boundaryVertices.push_back( e->v1 );
boundaryVertices.push_back( e->v2 );
}
// remove duplicate entries
std::sort( boundaryVertices.begin(), boundaryVertices.end() );
boundaryVertices.erase( std::unique( boundaryVertices.begin(), boundaryVertices.end() ), boundaryVertices.end() );
*/
// algorithm ------------------------------------------------------------------
Triangulation t;
// constrain triangulation with the boundary edges
// iterate over all boundary vertices
for( std::map<MeshEx::Vertex *, math::Vec2f>::iterator it = boundaryVertexProjections.begin(); it != boundaryVertexProjections.end(); ++it )
{
MeshEx::Vertex *v = it->first;
// add boundary vertex to triangulation
Vertex_handle vh = t.insert( Point( it->second.x, it->second.y ) );
// we dont need to create the vertex
vertexMap[vh] = v;
}
// iterate over all boundary edges
for( std::vector<MeshEx::Edge *>::iterator it = boundaryEdges.begin(); it != boundaryEdges.end(); ++it )
{
MeshEx::Edge *e = *it;
Vertex_handle v1, v2;
bool v1_found = false;
bool v2_found = false;
// find vertex_handles for the given edge vertices
for( std::map<Vertex_handle, MeshEx::Vertex*>::iterator vmit = vertexMap.begin(); vmit != vertexMap.end(); ++vmit )
{
if( e->v1 == vmit->second )
{
v1 = vmit->first;
v1_found = true;
}
if( e->v2 == vmit->second )
{
v2 = vmit->first;
v2_found = true;
}
}
// add constrainedge to the triangulation
t.insert_constraint( v1, v2 );
// add edge to the list of created/existing edges
edges.push_back( e );
}
// add additional and optional interior points
for( std::vector<std::pair<math::Vec3f, math::Vec2f> >::iterator it = interiorPoints.begin(); it != interiorPoints.end(); ++it )
{
// update triangulation
Vertex_handle v = t.insert( Point( it->second.x, it->second.y ) );
// insertion may return a vertex which already exists (when the position is the same)
if( vertexMap.find( v ) == vertexMap.end() )
// create according MeshEx::Vertex and keep mapping to the CGAL vertices
vertexMap[v] = createVertex( it->first );
}
// extract results and create triangles ----------------------------------------
// now we have the triangulation of the convex hull of the whole problem, now we
// have to find the faces which are inside the polygon - we mark each face with a
// segment(inside or outside) property and by finding a face which is adjacent to
// a infinite face, we find the segment which is outside
// we employ some floodfilling scheme
for( Triangulation::Finite_faces_iterator it = t.finite_faces_begin(); it != t.finite_faces_end(); ++it )
// reset info to -1
it->info() = -1;
int outsideSegment = -1;
findOutsideSegment( t, t.finite_faces_begin(), 0, -1, outsideSegment );
if( outsideSegment == -1 )
printf( "error : outsideSegment not found during triangulation\n" );
for( Triangulation::Finite_faces_iterator it = t.finite_faces_begin(); it != t.finite_faces_end(); ++it )
if( (it->info() == -1) && (!t.is_infinite(it)) )
printf( "triangle not touched!\n" );
// iterate over all faces of the triangulation and create edges/triangles
for( Triangulation::Finite_faces_iterator it = t.finite_faces_begin(); it != t.finite_faces_end(); ++it )
{
Face_handle fh = it;
// we are only interested in interior triangles
if( fh->info() == outsideSegment )
continue;
MeshEx::Vertex *v0, *v1, *v2;
v0 = vertexMap[ fh->vertex(0) ];
v1 = vertexMap[ fh->vertex(1) ];
v2 = vertexMap[ fh->vertex(2) ];
MeshEx::Edge *e0, *e1, *e2;
e0 = e1 = e2 = 0;
// look for the edges in the edge vector
for( std::vector<MeshEx::Edge*>::iterator eit = edges.begin(); eit != edges.end(); ++eit )
{
MeshEx::Edge *e = *eit;
if( e->contains(v0) && e->contains(v1) )
e0 = e;
else
if( e->contains(v1) && e->contains(v2) )
e1 = e;
else
if( e->contains(v2) && e->contains(v0) )
e2 = e;
}
// create the edges which could not be found
if( !e0 )
{
e0 = createEdge( v0, v1 );
edges.push_back(e0);
}
if( !e1 )
{
e1 = createEdge( v1, v2 );
edges.push_back(e1);
}
if( !e2 )
{
e2 = createEdge( v2, v0 );
edges.push_back(e2);
}
// create triangle
MeshEx::Triangle *tri = createTriangle( v0, v1, v2, e0, e1, e2 );
}
}