Merge pull request #1476 from imiordanov/Triangulation_data_structure_2-insert_in_hole-IIordanov

Triangulation data structure 2 insert in hole i iordanov
This commit is contained in:
Laurent Rineau 2016-09-23 16:56:26 +02:00 committed by GitHub
commit 54782db38f
4 changed files with 249 additions and 2 deletions

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@ -128,7 +128,6 @@ and <code>src/</code> directories).
</table>
<HR>
<h2 id="release4.10">Release 4.10 </h2>
<div>
<p>Release date: March 2017 </p>
@ -143,7 +142,15 @@ and <code>src/</code> directories).
<!-- Polygons -->
<!-- Cell Complexes and Polyhedra -->
<!-- Arrangements -->
<!-- Triangulations and Delaunay Triangulations -->
<h3> 2D Triangulation data structure </h3>
<ul>
<li>
Add function <code>insert_in_hole</code>.
</li>
</ul>
<!-- Voronoi Diagrams -->
<!-- Mesh Generation -->
<!-- Surface Reconstruction -->

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@ -550,6 +550,32 @@ void dim_down(Face_handle f, int i);
/// @{
/*!
\cgalModifBegin
creates a new vertex `v` and uses it to star a hole.
Given a set of faces 'F' describing a simply connected hole (i.e., a topological disk),
the function deletes all the faces in `F`, creates a new vertex `v` and for each edge on
the boundary of the hole creates a new face with `v` as a vertex. The input is an iterator
range `[face_begin, face_end[` of `Face_handle`s over the connected faces in `F`. The handle
to the new vertex `v` is returned.
\pre `tds.dimension() = 2` and the set of faces has the topology of a disk.
\cgalModifEnd
*/
template< class FaceIt >
Vertex_handle insert_in_hole(FaceIt face_begin, FaceIt face_end);
/*!
\cgalModifBegin
same as above, except that `new_v` will be used as the new vertex, which must have been
allocated previously with e.g. `create_vertex`.
\cgalModifEnd
*/
template< class FaceIt >
void insert_in_hole(Vertex_handle new_v, FaceIt face_begin, FaceIt face_end);
/*!
creates a new vertex `v` and use it to star the hole
whose boundary is described by the sequence of edges `[edge_begin, edge_end)`. Returns a handle to the vertex.

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@ -428,6 +428,106 @@ public:
// template members definition
public:
/************* START OF MODIFICATIONS ***************/
template< class FaceIt >
Vertex_handle insert_in_hole(FaceIt face_begin, FaceIt face_end)
{
Vertex_handle newv = create_vertex();
insert_in_hole(newv, face_begin, face_end);
return newv;
}
template< class FaceIt >
void insert_in_hole(Vertex_handle v, FaceIt face_begin, FaceIt face_end)
{
CGAL_triangulation_precondition(dimension() == 2);
std::vector<Face_handle> new_faces;
std::vector<Edge> bdry_edges;
Face_handle fh = *face_begin;
int ii = 0;
bool found_boundary = false;
do {
if (std::find(face_begin, face_end, fh->neighbor(ii)) == face_end) {
bdry_edges.push_back(Edge(fh, ii));
found_boundary = true;
} else {
int newi = fh->neighbor(ii)->index(fh->vertex(ccw(ii)));
fh = fh->neighbor(ii);
ii = newi;
}
} while(!found_boundary);
// Now we have found ONE edge on the boundary.
// From that one edge we must walk on the boundary
// of the hole until we've covered the whole thing.
bool complete_walk = false;
do {
Face_handle nh = fh->neighbor(ccw(ii));
if (std::find(face_begin, face_end, nh) == face_end) {
ii = ccw(ii);
Edge new_edge(fh, ii);
if (std::find(bdry_edges.begin(), bdry_edges.end(), new_edge) == bdry_edges.end()) {
bdry_edges.push_back(Edge(fh, ii));
} else {
complete_walk = true;
}
} else {
int newi = cw(nh->index(fh->vertex(ii)));
fh = nh;
ii = newi;
}
} while (!complete_walk);
// At this point, bdry_edges contains the edges that define
// the boundary of the hole with a specific ordering: for any
// two consecutive edges in the vector e1 = (f1, i1),
// e2 = (f2, i2) it holds that
// f1->vertex(cw(i1)) == f2->vertex(ccw(i2))
for (unsigned int jj = 0; jj < bdry_edges.size(); jj++) {
Face_handle fh = bdry_edges[jj].first;
int idx = bdry_edges[jj].second;
Vertex_handle v1 = fh->vertex(ccw(idx));
Vertex_handle v2 = fh->vertex(cw(idx));
Face_handle nf = fh->neighbor(idx);
int jdx = mirror_index(fh, idx);
Face_handle new_f = create_face(v, v1, v2);
v1->set_face(new_f);
set_adjacency(new_f, 0, nf, jdx);
new_faces.push_back(new_f);
}
// At this point we have created all the new faces of the triangulation,
// and we have set adjacency relationships with the faces on the border
// of the hole.
for (unsigned int i = 0; i < new_faces.size() - 1; i++) {
set_adjacency(new_faces[i], 1, new_faces[i+1], 2);
}
set_adjacency(new_faces[0], 2, new_faces[new_faces.size()-1], 1);
// Now we have also set adjacency relationships between the new faces.
for (FaceIt it = face_begin; it != face_end; it++) {
delete_face(*it);
}
// The old faces that were in conflict are now deleted.
v->set_face(new_faces[0]);
// Set the pointer of the new vertex to one of the new faces.
}
/************* END OF MODIFICATIONS ***************/
template< class EdgeIt>
Vertex_handle star_hole(EdgeIt edge_begin, EdgeIt edge_end)
// creates a new vertex

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@ -128,7 +128,6 @@ _test_cls_tds_2( const Tds &)
assert(tds3.dimension()== 1);
assert(tds3.number_of_vertices() == 4);
assert(tds3.is_valid() );
Vertex_handle w4 = tds4.insert_first();
Vertex_handle v4_1 = tds4.insert_second();
@ -187,6 +186,121 @@ _test_cls_tds_2( const Tds &)
u4 = tds4.star_hole(hole);
tds4.remove_degree_3(u4);
// insert_in_hole
// Count also the faces with the vertex at infinity!
//
// 1 |------| 3 1 |------| 3
// |\ | |\ /|
// | \ | | \ 4/ |
// | \ | --> | \/ |
// | \ | | /\ |
// | \ | | / \ |
// | \| |/ \|
// 2 |------| 0 2 |------| 0
//
//
std::cout << " insert_in_hole" << std::endl;
Tds td45;
Vertex_handle v045 = td45.insert_first();
Vertex_handle v145 = td45.insert_second();
Vertex_handle v245 = td45.insert_dim_up(v045, true);
Vertex_handle v345 = td45.insert_dim_up(v045, true);
assert(td45.is_valid() && td45.number_of_vertices() == 4 && td45.number_of_faces() == 4);
Face_handle f0_0 = td45.faces_begin();
Face_handle f0_1 = f0_0++;
Vertex_handle v445 = td45.insert_in_face(f0_0);
Vertex_handle v545 = td45.insert_in_face(f0_1);
Face_handle f1_0, f1_1, f1_2, f1_3, fcf_0, fcf_1;
Face_circulator fc1 = td45.incident_faces(v445), fc1e(fc1);
do {
int i = fc1->index(v445);
if (fc1->vertex((i+1)%3) == v345) {
f1_0 = fc1;
}
if (fc1->vertex((i+1)%3) == v145) {
f1_1 = fc1;
}
if (fc1->vertex((i+1)%3) == v245) {
fcf_0 = fc1;
}
} while(++fc1 != fc1e);
Face_circulator fc2 = td45.incident_faces(v545), fc2e(fc2);
do {
int i = fc2->index(v545);
if (fc2->vertex((i+1)%3) == v045) {
f1_2 = fc2;
}
if (fc2->vertex((i+1)%3) == v245) {
f1_3 = fc2;
}
if (fc2->vertex((i+1)%3) == v345) {
fcf_1 = fc2;
}
} while(++fc2 != fc2e);
Vertex_handle v645 = td45.insert_in_face(f1_0);
Vertex_handle v745 = td45.insert_in_face(f1_1);
Vertex_handle v845 = td45.insert_in_face(f1_2);
Vertex_handle v945 = td45.insert_in_face(f1_3);
Face_handle fcf_2, fcf_3, fcf_4, fcf_5;
Face_circulator fc6 = td45.incident_faces(v645), fc6e(fc6);
do {
int i = fc6->index(v645);
if (fc6->vertex((i+1)%3) == v445) {
fcf_2 = fc6;
break;
}
} while(++fc6 != fc6e);
Face_circulator fc7 = td45.incident_faces(v745), fc7e(fc7);
do {
int i = fc7->index(v745);
if (fc7->vertex((i+1)%3) == v245) {
fcf_3 = fc7;
break;
}
} while(++fc7 != fc7e);
Face_circulator fc8 = td45.incident_faces(v845), fc8e(fc8);
do {
int i = fc8->index(v845);
if (fc8->vertex((i+1)%3) == v345) {
fcf_4 = fc8;
break;
}
} while(++fc8 != fc8e);
Face_circulator fc9 = td45.incident_faces(v945), fc9e(fc9);
do {
int i = fc9->index(v945);
if (fc9->vertex((i+1)%3) == v545) {
fcf_5 = fc9;
break;
}
} while(++fc9 != fc9e);
std::vector<Face_handle> vhole;
vhole.push_back( fcf_0 );
vhole.push_back( fcf_1 );
vhole.push_back( fcf_2 );
vhole.push_back( fcf_3 );
vhole.push_back( fcf_4 );
vhole.push_back( fcf_5 );
assert(td45.is_valid() && td45.number_of_vertices() == 10 && td45.number_of_faces() == 16);
Vertex_handle nv45 = td45.insert_in_hole(vhole.begin(), vhole.end());
assert(nv45 != Vertex_handle() && td45.is_valid() && td45.number_of_vertices() == 11 && td45.number_of_faces() == 18);
// dim_down
std::cout << " dim_down" << std::endl;
Tds td5;