Converting Polyhedron object to Nef_polyhedron object - cgal

I want to use the CGAL library to calculate the Boolean difference between two polyhedrons. Both polyhedrons are in the form of .off files. My idea is to first read these two files into two Polyhedron type variables p1 and p2, then initialize Nef_polyhedron type variables nef1 and nef2 with p1 and p2 respectively, and finally find the Boolean difference between nef1 and nef2.
My code is as follows:
#include<fstream>
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/Nef_polyhedron_3.h>
#include <CGAL/IO/Polyhedron_iostream.h>
#include <CGAL/draw_nef_3.h>
typedef CGAL::Exact_predicates_exact_constructions_kernel Kernel;
typedef CGAL::Polyhedron_3<Kernel> Polyhedron;
typedef CGAL::Nef_polyhedron_3<Kernel> Nef_polyhedron;
int main() {
Polyhedron p1, p2, res;
std::ifstream fin1("blank.off");
std::ifstream fin2("svreal.off");
fin1 >> p1;
fin2 >> p2;
fin1.close();
fin2.close();
Nef_polyhedron nef1(p1);
Nef_polyhedron nef2(p2);
Nef_polyhedron nef = nef1 - nef2;
nef.convert_to_polyhedron(res);
std::ofstream fout("res2.off");
fout << res;
return 0;
}
However, when the code executes to "Nef_polyhedron nef2(p2);", the following exception is thrown: boost::wrapexcept<boost::bad_any_cast>. This may mean an error in constructing Nef_polyhedron nef2 with Polyhedron object p2. But I really cant't figure out why such a mistake happened. The Polyhedron p1 and p2 are both valid. And it looks nice when I open file svreal.off which is the .off file form of Polyhedron object p2.
I would appreciate it if you could help me solve this problem.

Your input "svreal.off" contains some degenerate faces. You can remove them using CGAL::Polygon_mesh_processing::remove_degenerate_faces() from CGAL/Polygon_mesh_processing/repair_degeneracies.h or use the function OFF_to_nef_3() directly from the istream.

Related

How to copy a surface mesh in CGAL

I want to copy a mesh with the function copy_face_graph(source, target). But the target mesh is different (it has same number of vertices and faces, but the coordinates and the order are totally different).
The code:
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <CGAL/Surface_mesh.h>
#include <iostream>
#include <fstream>
#include <CGAL/boost/graph/copy_face_graph.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
typedef CGAL::Surface_mesh<Kernel::Point_3> Mesh;
namespace PMP = CGAL::Polygon_mesh_processing;
int main(int argc, char* argv[]) {
const char* filename1 = (argc > 1) ? argv[1] : "data/blobby.off";
std::cout << ".off loaded" << std::endl;
std::ifstream input(filename1);
Mesh mesh_orig;
if (!input || !(input >> mesh_orig))
{
std::cerr << "First mesh is not a valid off file." << std::endl;
return 1;
}
input.close();
// ========================================================
Mesh mesh_copy;
CGAL::copy_face_graph(mesh_orig, mesh_copy);
// ========================================================
std::ofstream mesh_cpy("CPY_ANYLYZE/mesh_copy.off");
mesh_cpy << mesh_copy;
mesh_cpy.close();
return 0;
}
Dose anyone knows how to get a complete same mesh from the original mesh? Do I need add the named parameters, or maybe using another function?
Thanks a lot
Except if you intend to write some code working with different data structures, you can use the copy constructor from the Surface_mesh class, Mesh mesh_copy(mesh_orig). copy_face_graph does not do a raw copy because it works also if the input and output are of different types. However the output should be the same up to the order of the simplices.

How to use write_ply_with_properties() with Point_set_3

I have a CGAL::Point_set_3 point set with point normal and color. I would like to save all properties to a PLY file, using write_ply_with_properties() function.
My goal is to make the full version work (see code below), but even the simple version doesn't compile, with the same error as the full version.
I work on Linux with CGAL release 4.14 and gcc 7.4.0.
Here is the code:
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Point_set_3.h>
#include <CGAL/Point_set_3/IO.h>
#include <tuple> // for std::tie
#include <fstream>
typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
typedef Kernel::Point_3 Point;
typedef Kernel::Vector_3 Vector;
typedef CGAL::Point_set_3<Point> Point_set;
int main(int argc, char*argv[])
{
Point_set points;
points.insert(Point(1., 2., 3.));
points.insert(Point(4., 5., 6.));
// add normal map
points.add_normal_map();
auto normal_map = points.normal_map();
// add color map
typedef Point_set::Property_map< Vector > ColorMap;
bool success = false;
ColorMap color_map;
std::tie(color_map, success) =
points.add_property_map< Vector >("color");
assert(success);
// populate normal and color map
for(auto it = points.begin(); it != points.end(); ++it)
{
normal_map[*it] = Vector(10., 11., 12.);
color_map[*it] = Vector(20., 21., 22.);
}
std::ofstream out("out.ply");
#if 1
// simple version
if(!out || !CGAL::write_ply_points_with_properties(
out,
points.points(), // const PointRange
CGAL::make_ply_point_writer(points.point_map())))
#else
// full version
if(!out || !CGAL::write_ply_points_with_properties(
out,
points.points(), // const PointRange
CGAL::make_ply_point_writer(points.point_map()),
CGAL::make_ply_normal_writer(points.normal_map()),
std::make_tuple(color_map,
CGAL::PLY_property< double >("red"),
CGAL::PLY_property< double >("green"),
CGAL::PLY_property< double >("blue"))))
#endif
{
return EXIT_FAILURE;
}
return EXIT_SUCCESS;
}
The compilation error is:
...
/usr/include/boost/property_map/property_map.hpp:303:54: error: no match for ‘operator[]’ (operand types are ‘const CGAL::Point_set_3<CGAL::Point_3<CGAL::Epick> >::Property_map<CGAL::Point_3<CGAL::Epick> >’ and ‘const CGAL::Point_3<CGAL::Epick>’)
Reference v = static_cast<const PropertyMap&>(pa)[k];
CGAL-4.14/include/CGAL/Surface_mesh/Properties.h:567:15: note: candidate: CGAL::Properties::Property_map_base<I, T, CRTP_derived_class>::reference CGAL::Properties::Property_map_base<I, T, CRTP_derived_class>::operator[](const I&) [with I = CGAL::Point_set_3<CGAL::Point_3<CGAL::Epick> >::Index; T = CGAL::Point_3<CGAL::Epick>; CRTP_derived_class = CGAL::Point_set_3<CGAL::Point_3<CGAL::Epick> >::Property_map<CGAL::Point_3<CGAL::Epick> >; CGAL::Properties::Property_map_base<I, T, CRTP_derived_class>::reference = CGAL::Point_3<CGAL::Epick>&]
reference operator[](const I& i)
^~~~~~~~
CGAL-4.14/include/CGAL/Surface_mesh/Properties.h:567:15: note: no known conversion for argument 1 from ‘const CGAL::Point_3<CGAL::Epick>’ to ‘const CGAL::Point_set_3<CGAL::Point_3<CGAL::Epick> >::Index&’
How can I fix it?
The problem in your code is that you are using the method points() of CGAL::Point_set_3 which returns a range of points of type CGAL::Point_set_3::Point_range, whereas the property maps that you use (points.point_map(), etc.) are directly applied to a type CGAL::Point_set_3.
So you should simply call the write_ply_points_with_properties() on points, not on points.points().
Note also that if you store your colors on simple types (for example, using three Point_set_3 properties typed unsigned char), you can take advantage of the function CGAL::write_ply_point_set() that will automatically write all the simply-typed properties it finds, which makes it quite straightforward to use (just do CGAL::write_ply_point_set(out, points) and you're done).
One last thing that is really a detail not related to your problem, but you should avoid using the CGAL::Vector_3 for storing anything else than an actual geometric 3D vector (like colors in your case). That makes your code harder to read and is also quite an ineffective way to store colors if they are encoded as integer values between 0 and 255 (which is what unsigned char is for).

Problem using Lloyd optimization and Mesh_domain::create_labeled_image_mesh_domain

I'm using CGAL 4.13 (Linux Fedora 29) to generate 3D meshes from segmented anathomical images. I would like to use Lloyd optimization, but I got in a reproductible way a runtime error.
In order to illustrate my problem, I modified the example mesh_3D_image.cpp by adding a Lloyd optimization step, as shown hereafter. The program compiles with no error/warning message.
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Mesh_triangulation_3.h>
#include <CGAL/Mesh_complex_3_in_triangulation_3.h>
#include <CGAL/Mesh_criteria_3.h>
#include <CGAL/Labeled_mesh_domain_3.h>
#include <CGAL/make_mesh_3.h>
#include <CGAL/Image_3.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Labeled_mesh_domain_3<K> Mesh_domain;
typedef CGAL::Sequential_tag Concurrency_tag;
typedef CGAL::Mesh_triangulation_3<Mesh_domain,CGAL::Default,Concurrency_tag>::type Tr;
typedef CGAL::Mesh_complex_3_in_triangulation_3<Tr> C3t3;
typedef CGAL::Mesh_criteria_3<Tr> Mesh_criteria;
using namespace CGAL::parameters;
int main(int argc, char* argv[])
{
const char* fname = (argc>1)?argv[1]:"data/liver.inr.gz";
CGAL::Image_3 image;
if(!image.read(fname)){
std::cerr << "Error: Cannot read file " << fname << std::endl;
return EXIT_FAILURE;
}
Mesh_domain domain = Mesh_domain::create_labeled_image_mesh_domain(image);
Mesh_criteria criteria(facet_angle=30, facet_size=6, facet_distance=4,
cell_radius_edge_ratio=3, cell_size=8);
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria);
// !!! THE FOLLOWING LINE MAKES THE PROGRAM CRASH !!!
CGAL::lloyd_optimize_mesh_3(c3t3, domain, time_limit=30);
std::ofstream medit_file("out.mesh");
c3t3.output_to_medit(medit_file);
return 0;
}
I compile it by using the following CMakeLists.txt file:
# Created by the script cgal_create_CMakeLists
project( executables )
cmake_minimum_required(VERSION 2.8.11)
find_package( CGAL QUIET COMPONENTS )
# !!! I had to add manually the following line !!!
find_package(CGAL COMPONENTS ImageIO)
include( ${CGAL_USE_FILE} )
find_package( Boost REQUIRED )
add_executable( executables lloyd.cpp )
add_to_cached_list( CGAL_EXECUTABLE_TARGETS executables )
target_link_libraries(executables ${CGAL_LIBRARIES} ${CGAL_3RD_PARTY_LIBRARIES} )
No mesh is generated. I obtain the following message:
$ ./build/mesh_3D_image
terminate called after throwing an instance of 'CGAL::Precondition_exception'
what(): CGAL ERROR: precondition violation!
Expr: std::distance(first,last) >= 3
File: /usr/include/CGAL/Mesh_3/Lloyd_move.h
Line: 419
Aborted (core dumped)
Where my code is wrong, and how can I trigger optimizations for meshes generated by 3D images?
actually, when CGAL::make_mesh_3() is called like this :
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria);
it internally launches CGAL::perturb_mesh_3() and CGAL::exude_mesh_3(). The latest changes the weights of vertices in the Regular triangulation, and should always be called last (see the Warning in the documentation of CGAL::exude_mesh_3().
The only limitation on the order is that exuder should be called last. So you can either call
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria, lloyd(time_limit=30));
or
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria, no_exude());
CGAL::lloyd_optimize_mesh_3(c3t3, domain, time_limit = 30);
CGAL::exude_mesh_3(c3t3);
You removed the part:
if(!image.read(fname)){
std::cerr << "Error: Cannot read file " << fname << std::endl;
return EXIT_FAILURE;
}
from the example, which is what actually reads the image from the file.

Do constrained refinement with CGAL isotropic_remeshing

I'd like to do refinement of eg a simple cube (from a .off); there are a few ways but the ones suitable for what I want to do next end up with 'wrinkles', ie the object shape gets distorted.
This way below promises to allow the boundaries (shape?) of the object to be preserved, permitting what you'd expect of refinement, to just add more edges and vertices:
http://doc.cgal.org/latest/Polygon_mesh_processing/Polygon_mesh_processing_2isotropic_remeshing_example_8cpp-example.html
I want an edge constraint map (and if that isn't sufficient then I'll want a vertex constraint map as well) but can't figure out the template abstractions well enough. I tried an OpenMesh Constrained_edge_map from a different CGAL example, but that's too different and won't compile. What I'm asking for is an edge map and maybe a vertex map that I can feed to the call:
PMP::isotropic_remeshing(
faces(mesh),
target_edge_length,
mesh,
PMP::parameters::number_of_iterations(nb_iter)
.protect_constraints(true)//i.e. protect border, here
);
I'm using CGAL 4.8.1, the latest at time of writing. Thanks.
Here is a minimal example to remesh a triangulated cube:
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/boost/graph/graph_traits_Surface_mesh.h>
#include <CGAL/Polygon_mesh_processing/remesh.h>
#include <CGAL/Mesh_3/dihedral_angle_3.h>
#include <boost/foreach.hpp>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Surface_mesh<K::Point_3> Mesh;
typedef boost::graph_traits<Mesh>::halfedge_descriptor halfedge_descriptor;
typedef boost::graph_traits<Mesh>::edge_descriptor edge_descriptor;
namespace PMP=CGAL::Polygon_mesh_processing;
int main(int, char* argv[])
{
std::ifstream input(argv[1]);
Mesh tmesh;
input >> tmesh;
double target_edge_length = 0.20;
unsigned int nb_iter = 10;
// give each vertex a name, the default is empty
Mesh::Property_map<edge_descriptor,bool> is_constrained =
tmesh.add_property_map<edge_descriptor,bool>("e:is_constrained",false).first;
//detect sharp features
BOOST_FOREACH(edge_descriptor e, edges(tmesh))
{
halfedge_descriptor hd = halfedge(e,tmesh);
if ( !is_border(e,tmesh) ){
double angle = CGAL::Mesh_3::dihedral_angle(tmesh.point(source(hd,tmesh)),
tmesh.point(target(hd,tmesh)),
tmesh.point(target(next(hd,tmesh),tmesh)),
tmesh.point(target(next(opposite(hd,tmesh),tmesh),tmesh)));
if ( CGAL::abs(angle)<100 )
is_constrained[e]=true;
}
}
//remesh
PMP::isotropic_remeshing(
faces(tmesh),
target_edge_length,
tmesh,
PMP::parameters::number_of_iterations(nb_iter)
.edge_is_constrained_map(is_constrained) );
std::ofstream out("out.off");
out << tmesh;
return 0;
}

Converting Surface_mesh to Nef_polyhedron_3

I'm trying to use CGAL to do some boolean operations on meshes.
How do I convert from Surface_mesh to Nef_polyhedron_3?
EDIT:
I've tried with this code, but I don't know how to continue...
#include <iostream>
#include <CGAL/Nef_polyhedron_3.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Surface_mesh.h>
using namespace std;
typedef CGAL::Simple_cartesian<double> K;
typedef CGAL::Surface_mesh<K::Point_3> Mesh;
int main()
{
Mesh m;
auto a = m.add_vertex(K::Point_3(0,0,0));
auto b = m.add_vertex(K::Point_3(0,0,0));
auto c = m.add_vertex(K::Point_3(0,0,0));
m.add_face(a,b,c);
Mesh::Halfedge_range range = m.halfedges();
for(Mesh::Halfedge_index hei : range)
{
// ??? <<--
std::cout << hei << std::endl;
}
return 0;
}
Thanks
I think the suggested way to do this is to use the 3d polyhedral surface package instead. The Nef 3 documentation describes the conversion between Polyhedron_3 and Nef_3. The only difference between the 3d polyhedral surface package and the surface mesh package is that, it is pointer based rather than index based.