CGAL 6.0.2 - 3D Mesh Generation

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CGAL/Mesh_3/initialize_triangulation_from_labeled_image.h
// Copyright (c) 2015,2016 GeometryFactory
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v6.0.2-I-400/Mesh_3/include/CGAL/Mesh_3/initialize_triangulation_from_labeled_image.h $
// $Id: include/CGAL/Mesh_3/initialize_triangulation_from_labeled_image.h e13ef800cb7 $
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Laurent Rineau
#ifndef CGAL_MESH_3_INITIALIZE_TRIANGULATION_FROM_LABELED_IMAGE_H
#define CGAL_MESH_3_INITIALIZE_TRIANGULATION_FROM_LABELED_IMAGE_H
#include <CGAL/license/Mesh_3.h>
#include <CGAL/Mesh_3/search_for_connected_components_in_labeled_image.h>
#include <CGAL/Distance_3/Point_3_Triangle_3.h>
#include <CGAL/Labeled_mesh_domain_3.h>
#include <CGAL/make_mesh_3.h>
#include <CGAL/enum.h>
#include <CGAL/iterator.h>
#include <CGAL/point_generators_3.h>
#include <CGAL/Image_3.h>
#include <iostream>
#include <queue>
template <typename Point>
struct Get_point
{
const double vx, vy, vz;
const double tx, ty, tz;
const std::size_t xdim, ydim, zdim;
Get_point(const CGAL::Image_3* image)
: vx(image->vx())
, vy(image->vy())
, vz(image->vz())
, tx(image->tx())
, ty(image->ty())
, tz(image->tz())
, xdim(image->xdim())
, ydim(image->ydim())
, zdim(image->zdim())
{}
Point operator()(const std::size_t i,
const std::size_t j,
const std::size_t k) const
{
double x = double(i) * vx + tx;
double y = double(j) * vy + ty;
double z = double(k) * vz + tz;
if (i == 0) x += 1. / 6. * vx;
else if (i == xdim - 1) x -= 1. / 6. * vx;
if (j == 0) y += 1. / 6. * vy;
else if (j == ydim - 1) y -= 1. / 6. * vy;
if (k == 0) z += 1. / 6. * vz;
else if (k == zdim - 1) z -= 1. / 6. * vz;
return Point(x, y, z);
}
};
template<class C3T3, class MeshDomain, class MeshCriteria>
void init_tr_from_labeled_image_call_init_features(C3T3&,
const MeshDomain&,
const MeshCriteria&,
CGAL::Tag_false)
{
}
template<class C3T3, class MeshDomain, class MeshCriteria>
void init_tr_from_labeled_image_call_init_features(C3T3& c3t3,
const MeshDomain& domain,
const MeshCriteria& criteria,
CGAL::Tag_true)
{
CGAL::Mesh_3::internal::init_c3t3_with_features(c3t3,
domain,
criteria);
std::cout << c3t3.triangulation().number_of_vertices()
<< " initial points on 1D-features" << std::endl;
}
template<class C3T3, class MeshDomain, class MeshCriteria,
typename Image_word_type,
typename TransformOperator = CGAL::Identity<Image_word_type> >
void initialize_triangulation_from_labeled_image(C3T3& c3t3,
const MeshDomain& domain,
const CGAL::Image_3& image,
const MeshCriteria& criteria,
Image_word_type,
bool protect_features = false,
TransformOperator transform = CGAL::Identity<Image_word_type>())
{
typedef typename C3T3::Triangulation Tr;
typedef typename Tr::Geom_traits GT;
typedef typename GT::FT FT;
typedef typename Tr::Weighted_point Weighted_point;
typedef typename Tr::Bare_point Bare_point;
typedef typename Tr::Segment Segment_3;
typedef typename Tr::Vertex_handle Vertex_handle;
typedef typename Tr::Cell_handle Cell_handle;
typedef typename GT::Vector_3 Vector_3;
typedef MeshDomain Mesh_domain;
Tr& tr = c3t3.triangulation();
typename GT::Compare_weighted_squared_radius_3 cwsr =
tr.geom_traits().compare_weighted_squared_radius_3_object();
typename GT::Construct_point_3 cp =
tr.geom_traits().construct_point_3_object();
typename GT::Construct_weighted_point_3 cwp =
tr.geom_traits().construct_weighted_point_3_object();
if(protect_features) {
init_tr_from_labeled_image_call_init_features
(c3t3, domain, criteria,
CGAL::internal::Has_features<Mesh_domain>());
}
const double max_v = (std::max)((std::max)(image.vx(),
image.vy()),
image.vz());
struct Seed {
std::size_t i, j, k;
std::size_t radius;
};
using Seeds = std::vector<Seed>;
using Subdomain = typename Mesh_domain::Subdomain;
Seeds seeds;
Get_point<Bare_point> get_point(&image);
std::cout << "Searching for connected components..." << std::endl;
search_for_connected_components_in_labeled_image(image,
std::back_inserter(seeds),
CGAL::Emptyset_iterator(),
transform,
Image_word_type());
std::cout << " " << seeds.size() << " components were found." << std::endl;
std::cout << "Construct initial points..." << std::endl;
for(const Seed seed : seeds)
{
const Bare_point seed_point = get_point(seed.i, seed.j, seed.k);
Cell_handle seed_cell = tr.locate(cwp(seed_point));
const Subdomain seed_label
= domain.is_in_domain_object()(seed_point);
const Subdomain seed_cell_label
= ( tr.dimension() < 3
|| seed_cell == Cell_handle()
|| tr.is_infinite(seed_cell))
? Subdomain() //seed_point is OUTSIDE_AFFINE_HULL
: domain.is_in_domain_object()(
seed_cell->weighted_circumcenter(tr.geom_traits()));
if ( seed_label != std::nullopt
&& seed_cell_label != std::nullopt
&& *seed_label == *seed_cell_label)
continue; //this means the connected component has already been initialized
const double radius = double(seed.radius + 1)* max_v;
CGAL::Random_points_on_sphere_3<Bare_point> points_on_sphere_3(radius);
typename Mesh_domain::Construct_intersection construct_intersection =
domain.construct_intersection_object();
std::vector<Vector_3> directions;
if(seed.radius < 2) {
// shoot in six directions
directions.push_back(Vector_3(-radius, 0, 0));
directions.push_back(Vector_3(+radius, 0, 0));
directions.push_back(Vector_3(0, -radius, 0));
directions.push_back(Vector_3(0, +radius, 0));
directions.push_back(Vector_3(0, 0, -radius));
directions.push_back(Vector_3(0, 0, +radius));
} else {
for(int i = 0; i < 20; ++i)
{
// shoot 20 random directions
directions.push_back(*points_on_sphere_3++ - CGAL::ORIGIN);
}
}
for(const Vector_3& v : directions)
{
const Bare_point test = seed_point + v;
const typename Mesh_domain::Intersection intersect =
construct_intersection(Segment_3(seed_point, test));
if (std::get<2>(intersect) != 0)
{
const Bare_point& bpi = std::get<0>(intersect);
Weighted_point pi = cwp(bpi);
// This would cause trouble to optimizers
// check pi will not be hidden
typename Tr::Locate_type lt;
int li, lj;
Cell_handle pi_cell = tr.locate(pi, lt, li, lj);
if(lt != Tr::OUTSIDE_AFFINE_HULL) {
switch (tr.dimension())
{ //skip dimension 0
case 1:
if (tr.side_of_power_segment(pi_cell, pi, true) != CGAL::ON_BOUNDED_SIDE)
continue;
break;
case 2:
if (tr.side_of_power_circle(pi_cell, 3, pi, true) != CGAL::ON_BOUNDED_SIDE)
continue;
break;
case 3:
if (tr.side_of_power_sphere(pi_cell, pi, true) != CGAL::ON_BOUNDED_SIDE)
continue;
}
}
//check pi is not inside a protecting ball
std::vector<Vertex_handle> conflict_vertices;
if (tr.dimension() == 3)
{
tr.vertices_on_conflict_zone_boundary(pi, pi_cell
, std::back_inserter(conflict_vertices));
}
else
{
for (typename Tr::Finite_vertices_iterator vit = tr.finite_vertices_begin();
vit != tr.finite_vertices_end(); ++vit)
{
const Weighted_point& wp = tr.point(vit);
if (cwsr(wp, FT(0)) == CGAL::SMALLER) // 0 < wp's weight
conflict_vertices.push_back(vit);
}
}
bool pi_inside_protecting_sphere = false;
for(Vertex_handle cv : conflict_vertices)
{
if(tr.is_infinite(cv))
continue;
const Weighted_point& cv_wp = tr.point(cv);
if (cwsr(cv_wp, FT(0)) == CGAL::EQUAL) // 0 == wp's weight
continue;
// if the (squared) distance between bpi and cv is smaller or equal than cv's weight
if (cwsr(cv_wp, - tr.min_squared_distance(bpi, cp(cv_wp))) != CGAL::LARGER)
{
pi_inside_protecting_sphere = true;
break;
}
}
if (pi_inside_protecting_sphere)
continue;
const typename Mesh_domain::Index index = std::get<1>(intersect);
Vertex_handle v = tr.insert(pi);
// `v` could be null if `pi` is hidden by other vertices of `tr`.
CGAL_assertion(v != Vertex_handle());
c3t3.set_dimension(v, 2); // by construction, points are on surface
c3t3.set_index(v, index);
}
// else
// {
// std::cerr <<
// boost::format("Error. Segment (%1%, %2%) does not intersect the surface!\n")
// % it->first % test;
// }
}
}
std::cout << " " << tr.number_of_vertices() << " initial points." << std::endl;
if ( c3t3.triangulation().dimension() != 3 )
{
std::cout << " not enough points: triangulation.dimension() == "
<< c3t3.triangulation().dimension() << std::endl;
CGAL::Mesh_3::internal::init_c3t3(c3t3, domain, criteria, 20);
std::cout << " -> " << tr.number_of_vertices() << " initial points." << std::endl;
}
}
#endif // CGAL_MESH_3_INITIALIZE_TRIANGULATION_FROM_LABELED_IMAGE_H
CGAL::Image_3
The class Image_3 is a C++ wrapper around the InrImage library.
Definition: Image_3.h:11
CGAL::ORIGIN
const CGAL::Origin ORIGIN
CGAL::EQUAL
EQUAL
CGAL::LARGER
LARGER
CGAL::SMALLER
SMALLER
CGAL::ON_BOUNDED_SIDE
ON_BOUNDED_SIDE
CGAL::Boolean_tag
CGAL::Emptyset_iterator
CGAL::Identity