mashbridge · November 22, 2013 04:53
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 0.00887626 0.257489 -0.248505 -0.0587438 0.357813 -0.931944
 0.0377567 -0.4189 -0.152034 0.851043 0.290693 -0.43729
 -0.199022 -0.0674076 -0.196009 0.866173 -0.489614 0.100112
 0.0582865 -0.439073 -0.139262 0.712174 0.440564 -0.546546
 -0.0583829 -0.49721 -0.152006 0.00464946 -0.999641 0.0263975
 -0.0924411 -0.496583 -0.13776 0.00737981 -0.998883 0.0466803
 -0.189632 0.113221 -0.192658 0.226201 0.440393 -0.868843
 -0.172205 0.274925 -0.155681 -0.174678 0.551802 -0.815477
 -0.199074 0.256063 -0.161549 -0.167539 0.362868 -0.916656
 -0.243399 -0.399732 -0.174718 -0.812524 -0.43094 -0.39255
 -0.044257 0.104339 -0.249867 -0.295433 -0.204199 -0.933286
 0.147664 0.422652 -0.0536227 -0.526449 0.812387 -0.250757
 0.205164 0.0281474 -0.152996 0.67474 -0.472368 -0.567093
 -0.053759 -0.0204801 -0.163842 -0.319585 -0.737659 -0.594747
 -0.0974451 -0.43002 -0.252193 0.0812612 -0.526384 -0.846355
 0.0164535 -0.0517295 -0.150427 -0.125594 -0.857428 -0.499042
 0.110265 -0.0196818 -0.181418 0.3102 -0.708336 -0.634063
 -0.227254 -0.0540106 -0.16077 0.0321127 -0.43958 0.897629
 0.0404513 -0.328405 -0.164002 0.994017 0.104546 -0.0316278
 0.011263 -0.220389 -0.162599 0.795404 0.499252 -0.343627
 -0.0492696 -0.415674 -0.247699 0.36638 -0.520883 -0.771003
 0.0692192 0.0408144 -0.236805 0.150467 -0.450258 -0.880129
 -0.142762 -0.371845 -0.276005 -0.24393 -0.321831 -0.914835
 -0.233755 0.163172 -0.154983 -0.613681 -0.20932 -0.761302
 0.0900012 -0.0435234 -0.158492 0.212802 -0.822637 -0.527241
 -0.288779 -0.288114 -0.16185 -0.966395 -0.189253 -0.173966
 0.0169467 0.0266541 -0.230123 -0.110042 -0.52835 -0.841865
 -0.254893 -0.391553 -0.156972 -0.855297 -0.412339 -0.313758
 -0.0356627 -0.00585337 -0.189105 -0.296143 -0.678526 -0.672236
 -0.145336 0.0586512 -0.188236 0.0309563 -0.256593 -0.966024
 -0.250374 -0.0603217 -0.16631 -0.397064 -0.181168 0.899733
 0.0339169 0.370544 -0.158896 0.0151185 0.824893 -0.565087
 0.149551 0.307885 -0.178631 0.446505 0.53221 -0.719296
 0.15522 0.317705 -0.167673 0.440897 0.541754 -0.71562
 0.169088 0.301239 -0.170697 0.499109 0.490592 -0.71429
 -0.134325 -0.198269 -0.264351 0.139752 0.636589 -0.758435
 -0.215734 -0.372533 -0.234229 -0.622428 -0.395273 -0.675532
 -0.207238 0.241374 -0.164938 -0.224494 0.265859 -0.937508
diff --git a/Makefile b/Makefile
 #
 # Assumes headers and libs in /usr/local/. You'll need eigen3 or another
 # solver library. On OS X you can maybe do:
 # brew install eigen
 # brew install cgal --imaging --with-eigen3 --with-lapack
 #
 IDIRS = /usr/local/include /usr/local/include/eigen3
 LDIRS = /usr/local/lib

 INCS = $(foreach d, $(IDIRS), -I$d)
 LIBS = $(foreach d, $(LDIRS), -L$d)

 all: poisson_reconstruction_example

 clean:
 	rm -f poisson_reconstruction_example poisson_reconstruction_example.o

 poisson_reconstruction_example.o: poisson_reconstruction_example.cc
 	g++ -DCGAL_EIGEN3_ENABLED $(INCS) -c $<

 poisson_reconstruction_example: poisson_reconstruction_example.o
 	g++ -o $@ poisson_reconstruction_example.o $(LIBS) \
 		-lboost_system-mt \
 		-lboost_thread-mt \
 		-lgmp \
 		-lmpfr \
 		-lCGAL
diff --git a/poisson_reconstruction_example.cc b/poisson_reconstruction_example.cc
 // A slightly modified version of the example code from
 // http://doc.cgal.org/latest/Surface_reconstruction_points_3/

 #include <CGAL/trace.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Polyhedron_3.h>
 #include <CGAL/IO/Polyhedron_iostream.h>
 #include <CGAL/Surface_mesh_default_triangulation_3.h>
 #include <CGAL/make_surface_mesh.h>
 #include <CGAL/Implicit_surface_3.h>
 #include <CGAL/IO/output_surface_facets_to_polyhedron.h>
 #include <CGAL/Poisson_reconstruction_function.h>
 #include <CGAL/Point_with_normal_3.h>
 #include <CGAL/property_map.h>
 #include <CGAL/IO/read_xyz_points.h>
 #include <CGAL/compute_average_spacing.h>
 #include <vector>
 #include <fstream>

 // Types
 typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
 typedef Kernel::FT FT;
 typedef Kernel::Point_3 Point;
 typedef CGAL::Point_with_normal_3<Kernel> Point_with_normal;
 typedef Kernel::Sphere_3 Sphere;
 typedef std::vector<Point_with_normal> PointList;
 typedef CGAL::Polyhedron_3<Kernel> Polyhedron;
 typedef CGAL::Poisson_reconstruction_function<Kernel> Poisson_reconstruction_function;
 typedef CGAL::Surface_mesh_default_triangulation_3 STr;
 typedef CGAL::Surface_mesh_complex_2_in_triangulation_3<STr> C2t3;
 typedef CGAL::Implicit_surface_3<Kernel, Poisson_reconstruction_function> Surface_3;

 int main(void)
 {
    // Poisson options
    FT sm_angle = 20.0; // Min triangle angle in degrees.
    FT sm_radius = 30; // Max triangle size w.r.t. point set average spacing.
    FT sm_distance = 0.375; // Surface Approximation error w.r.t. point set average spacing.
    // Reads the point set file in points[].
    // Note: read_xyz_points_and_normals() requires an iterator over points
    // + property maps to access each point's position and normal.
    // The position property map can be omitted here as we use iterators over Point_3 elements.
    PointList points;
    std::ifstream stream("kitten.xyz");
    if (!stream ||
        !CGAL::read_xyz_points_and_normals(
                              stream,
                              std::back_inserter(points),
                              CGAL::make_normal_of_point_with_normal_pmap(PointList::value_type())))
    {
      std::cerr << "Error: cannot read file kitten.xyz" << std::endl;
      return EXIT_FAILURE;
    }
    // Creates implicit function from the read points using the default solver.
    // Note: this method requires an iterator over points
    // + property maps to access each point's position and normal.
    // The position property map can be omitted here as we use iterators over Point_3 elements.
    Poisson_reconstruction_function function(points.begin(), points.end(),
                                             CGAL::make_normal_of_point_with_normal_pmap(PointList::value_type()) );
    // Computes the Poisson indicator function f()
    // at each vertex of the triangulation.
    if ( ! function.compute_implicit_function() ) 
      return EXIT_FAILURE;
    // Computes average spacing
    FT average_spacing = CGAL::compute_average_spacing(points.begin(), points.end(),
                                                       6 /* knn = 1 ring */);
    // Gets one point inside the implicit surface
    // and computes implicit function bounding sphere radius.
    Point inner_point = function.get_inner_point();
    Sphere bsphere = function.bounding_sphere();
    FT radius = std::sqrt(bsphere.squared_radius());
    // Defines the implicit surface: requires defining a
    // conservative bounding sphere centered at inner point.
    FT sm_sphere_radius = 5.0 * radius;
    FT sm_dichotomy_error = sm_distance*average_spacing/1000.0; // Dichotomy error must be << sm_distance
    Surface_3 surface(function,
                      Sphere(inner_point,sm_sphere_radius*sm_sphere_radius),
                      sm_dichotomy_error/sm_sphere_radius);
    // Defines surface mesh generation criteria
    CGAL::Surface_mesh_default_criteria_3<STr> criteria(sm_angle,  // Min triangle angle (degrees)
                                                        sm_radius*average_spacing,  // Max triangle size
                                                        sm_distance*average_spacing); // Approximation error
    // Generates surface mesh with manifold option
    STr tr; // 3D Delaunay triangulation for surface mesh generation
    C2t3 c2t3(tr); // 2D complex in 3D Delaunay triangulation
    CGAL::make_surface_mesh(c2t3,                                 // reconstructed mesh
                            surface,                              // implicit surface
                            criteria,                             // meshing criteria
                            CGAL::Manifold_with_boundary_tag());  // require manifold mesh
    if(tr.number_of_vertices() == 0)
      return EXIT_FAILURE;
    // saves reconstructed surface mesh
    std::ofstream out("kitten_poisson-20-30-0.375.off");
    Polyhedron output_mesh;
    CGAL::output_surface_facets_to_polyhedron(c2t3, output_mesh);
    out << output_mesh;
    return EXIT_SUCCESS;
 }
	#
	# Assumes headers and libs in /usr/local/. You'll need eigen3 or another
	# solver library. On OS X you can maybe do:
	# brew install eigen
	# brew install cgal --imaging --with-eigen3 --with-lapack
	#
	IDIRS = /usr/local/include /usr/local/include/eigen3
	LDIRS = /usr/local/lib

	INCS = $(foreach d, $(IDIRS), -I$d)
	LIBS = $(foreach d, $(LDIRS), -L$d)

	all: poisson_reconstruction_example

	clean:
	rm -f poisson_reconstruction_example poisson_reconstruction_example.o

	poisson_reconstruction_example.o: poisson_reconstruction_example.cc
	g++ -DCGAL_EIGEN3_ENABLED $(INCS) -c $<

	poisson_reconstruction_example: poisson_reconstruction_example.o
	g++ -o $@ poisson_reconstruction_example.o $(LIBS) \
	-lboost_system-mt \
	-lboost_thread-mt \
	-lgmp \
	-lmpfr \
	-lCGAL
	// A slightly modified version of the example code from
	// http://doc.cgal.org/latest/Surface_reconstruction_points_3/

	#include <CGAL/trace.h>
	#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
	#include <CGAL/Polyhedron_3.h>
	#include <CGAL/IO/Polyhedron_iostream.h>
	#include <CGAL/Surface_mesh_default_triangulation_3.h>
	#include <CGAL/make_surface_mesh.h>
	#include <CGAL/Implicit_surface_3.h>
	#include <CGAL/IO/output_surface_facets_to_polyhedron.h>
	#include <CGAL/Poisson_reconstruction_function.h>
	#include <CGAL/Point_with_normal_3.h>
	#include <CGAL/property_map.h>
	#include <CGAL/IO/read_xyz_points.h>
	#include <CGAL/compute_average_spacing.h>
	#include <vector>
	#include <fstream>

	// Types
	typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
	typedef Kernel::FT FT;
	typedef Kernel::Point_3 Point;
	typedef CGAL::Point_with_normal_3<Kernel> Point_with_normal;
	typedef Kernel::Sphere_3 Sphere;
	typedef std::vector<Point_with_normal> PointList;
	typedef CGAL::Polyhedron_3<Kernel> Polyhedron;
	typedef CGAL::Poisson_reconstruction_function<Kernel> Poisson_reconstruction_function;
	typedef CGAL::Surface_mesh_default_triangulation_3 STr;
	typedef CGAL::Surface_mesh_complex_2_in_triangulation_3<STr> C2t3;
	typedef CGAL::Implicit_surface_3<Kernel, Poisson_reconstruction_function> Surface_3;

	int main(void)
	{
	// Poisson options
	FT sm_angle = 20.0; // Min triangle angle in degrees.
	FT sm_radius = 30; // Max triangle size w.r.t. point set average spacing.
	FT sm_distance = 0.375; // Surface Approximation error w.r.t. point set average spacing.
	// Reads the point set file in points[].
	// Note: read_xyz_points_and_normals() requires an iterator over points
	// + property maps to access each point's position and normal.
	// The position property map can be omitted here as we use iterators over Point_3 elements.
	PointList points;
	std::ifstream stream("kitten.xyz");
	if (!stream \|\|
	!CGAL::read_xyz_points_and_normals(
	stream,
	std::back_inserter(points),
	CGAL::make_normal_of_point_with_normal_pmap(PointList::value_type())))
	{
	std::cerr << "Error: cannot read file kitten.xyz" << std::endl;
	return EXIT_FAILURE;
	}
	// Creates implicit function from the read points using the default solver.
	// Note: this method requires an iterator over points
	// + property maps to access each point's position and normal.
	// The position property map can be omitted here as we use iterators over Point_3 elements.
	Poisson_reconstruction_function function(points.begin(), points.end(),
	CGAL::make_normal_of_point_with_normal_pmap(PointList::value_type()) );
	// Computes the Poisson indicator function f()
	// at each vertex of the triangulation.
	if ( ! function.compute_implicit_function() )
	return EXIT_FAILURE;
	// Computes average spacing
	FT average_spacing = CGAL::compute_average_spacing(points.begin(), points.end(),
	6 /* knn = 1 ring */);
	// Gets one point inside the implicit surface
	// and computes implicit function bounding sphere radius.
	Point inner_point = function.get_inner_point();
	Sphere bsphere = function.bounding_sphere();
	FT radius = std::sqrt(bsphere.squared_radius());
	// Defines the implicit surface: requires defining a
	// conservative bounding sphere centered at inner point.
	FT sm_sphere_radius = 5.0 * radius;
	FT sm_dichotomy_error = sm_distance*average_spacing/1000.0; // Dichotomy error must be << sm_distance
	Surface_3 surface(function,
	Sphere(inner_point,sm_sphere_radius*sm_sphere_radius),
	sm_dichotomy_error/sm_sphere_radius);
	// Defines surface mesh generation criteria
	CGAL::Surface_mesh_default_criteria_3<STr> criteria(sm_angle, // Min triangle angle (degrees)
	sm_radius*average_spacing, // Max triangle size
	sm_distance*average_spacing); // Approximation error
	// Generates surface mesh with manifold option
	STr tr; // 3D Delaunay triangulation for surface mesh generation
	C2t3 c2t3(tr); // 2D complex in 3D Delaunay triangulation
	CGAL::make_surface_mesh(c2t3, // reconstructed mesh
	surface, // implicit surface
	criteria, // meshing criteria
	CGAL::Manifold_with_boundary_tag()); // require manifold mesh
	if(tr.number_of_vertices() == 0)
	return EXIT_FAILURE;
	// saves reconstructed surface mesh
	std::ofstream out("kitten_poisson-20-30-0.375.off");
	Polyhedron output_mesh;
	CGAL::output_surface_facets_to_polyhedron(c2t3, output_mesh);
	out << output_mesh;
	return EXIT_SUCCESS;
	}