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CGAL::make_mesh_3 initialization bug
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# Created by the script cgal_create_cmake_script | |
# This is the CMake script for compiling a CGAL application. | |
project( failing_example_ ) | |
cmake_minimum_required(VERSION 2.8.10) | |
find_package(CGAL QUIET COMPONENTS Core ) | |
if ( CGAL_FOUND ) | |
include( ${CGAL_USE_FILE} ) | |
find_package(Eigen3 REQUIRED) | |
include( CGAL_CreateSingleSourceCGALProgram ) | |
create_single_source_cgal_program( "failing_example.cc" ) | |
target_include_directories(failing_example SYSTEM PRIVATE ${EIGEN3_INCLUDE_DIR}) | |
target_compile_definitions(failing_example PRIVATE CGAL_MESH_3_VERBOSE) | |
set_target_properties(failing_example PROPERTIES CXX_STANDARD 11) | |
set_target_properties(failing_example PROPERTIES CXX_STANDARD_REQUIRED ON) | |
else() | |
message(STATUS "This program requires the CGAL library, and will not be compiled.") | |
endif() |
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#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/Implicit_mesh_domain_3.h> | |
#include <CGAL/Mesh_domain_with_polyline_features_3.h> | |
#include <CGAL/make_mesh_3.h> | |
#include <CGAL/Mesh_3/Dump_c3t3.h> | |
#include <Eigen/Dense> | |
#include <vector> | |
#include <string> | |
#include <utility> | |
#include <sstream> | |
// Kernel | |
typedef CGAL::Exact_predicates_inexact_constructions_kernel K; | |
using Point = K::Point_3; | |
using Polylines = std::vector<std::vector<Point>>; | |
using Vec3d = Eigen::Vector3d; | |
using namespace CGAL::parameters; | |
struct Box { | |
Box(const Vec3d &minCorner, const Vec3d &maxCorner) | |
: m_minCorner(minCorner), m_maxCorner(maxCorner) { } | |
double signedDistance(const Vec3d &p) const { | |
auto d = (m_minCorner - p).cwiseMax(p - m_maxCorner).eval(); | |
return std::min(d.maxCoeff(), 0.0) + d.cwiseMax(Vec3d::Zero()).norm(); | |
} | |
private: | |
Vec3d m_minCorner, m_maxCorner; | |
}; | |
struct SphereCappedCylinder { | |
SphereCappedCylinder(const Vec3d &p1, const Vec3d &p2, double r) : m_c1(p1), m_r(r) { | |
if (p2 == p1) throw std::runtime_error("Degenerate inflated edge"); | |
m_axisUnit = p2 - p1; | |
m_len = m_axisUnit.norm(); | |
m_axisUnit /= m_len; | |
} | |
double signedDistance(const Vec3d &p) const { | |
Vec3d v(p - m_c1); | |
// Use coordinates aligned with medial axis, centered on left endpoint | |
double x = v.dot(m_axisUnit); | |
double y = (v - x * m_axisUnit).norm(); | |
if (x < 0) { return v.norm() - m_r; } // endpoint sphere 1 closest | |
if (x < m_len) { return y - m_r; } // cylinder surface closest | |
// endpoint sphere 2 closest | |
x -= m_len; | |
return sqrt(x * x + y * y) - m_r; | |
} | |
private: | |
Vec3d m_c1, m_axisUnit; | |
double m_len, m_r; | |
}; | |
double exp_smin(const std::vector<double> &values, double k) { | |
double res = 0; | |
for (double v : values) res += exp(-k * v); | |
return -log(res) / k; | |
} | |
struct CylinderArrangement { | |
std::vector<SphereCappedCylinder> cylinders; | |
CylinderArrangement() { | |
std::ifstream cylinderGraph("../bad_igraph.obj"); | |
if (!cylinderGraph) throw std::runtime_error("Couldn't open ../bad_igraph.obj"); | |
std::string line, type; | |
std::vector<Vec3d> V; | |
std::vector<std::pair<size_t, size_t>> E; | |
while (std::getline(cylinderGraph, line)) { | |
std::istringstream ls(line); | |
ls >> type; | |
if (type == "v") { V.emplace_back(); ls >> V.back()[0] >> V.back()[1] >> V.back()[2]; } | |
if (type == "l") { E.emplace_back(); ls >> E.back().first >> E.back().second; } | |
} | |
for (const auto &e : E) | |
cylinders.emplace_back(V.at(e.first - 1), V.at(e.second - 1), 0.04); | |
} | |
double signedDistance(const Vec3d &p) const { | |
std::vector<double> dists; | |
for (const auto &c : cylinders) | |
dists.push_back(c.signedDistance(p)); | |
return exp_smin(dists, 1 / 0.02); | |
} | |
}; | |
template<class SDFunc> | |
struct ClippedSDFunc : public SDFunc { | |
using SDFunc::SDFunc; | |
K::FT operator()(const Point &p) const { | |
static const Box clipBox = Box({0, 0, 0}, {1, 1, 1}); | |
Vec3d pp{p[0], p[1], p[2]}; | |
return std::max(SDFunc::signedDistance(pp), clipBox.signedDistance(pp)); | |
} | |
}; | |
using SDFunc = ClippedSDFunc<CylinderArrangement>; | |
// Domain | |
using Mesh_domain = CGAL::Mesh_domain_with_polyline_features_3<CGAL::Implicit_mesh_domain_3<SDFunc,K>>; | |
// Triangulation | |
using Tr = typename CGAL::Mesh_triangulation_3<Mesh_domain>::type; | |
using C3t3 = CGAL::Mesh_complex_3_in_triangulation_3<Tr, typename Mesh_domain::Corner_index, typename Mesh_domain::Curve_segment_index>; | |
using Mesh_criteria = CGAL::Mesh_criteria_3<Tr>; | |
int main(int argc, const char *argv[]) { | |
// Read the feature curve polylines | |
Polylines polylines; | |
if (auto features_in = std::ifstream("../feature_polylines.txt")) { | |
size_t size; | |
features_in >> size; | |
polylines.resize(size); | |
for (auto &pl : polylines) { | |
features_in >> size; | |
pl.resize(size); | |
for (Point &p : pl) features_in >> p; | |
} | |
} | |
else throw std::runtime_error("Couldn't open ../feature_polylines.txt"); | |
// Bounding sphere enclosing geometry with center inside the domain. | |
Point center(0.19478, 0.376757, 0.732335); | |
double r = 1.26424; | |
SDFunc sdf; | |
Mesh_domain domain(sdf, K::Sphere_3(center, r * r), 1e-4); | |
domain.add_features(polylines.begin(), polylines.end()); | |
// Mesh criteria | |
Mesh_criteria criteria(facet_angle = 30.0, | |
facet_size = 0.02, | |
facet_distance = 1e-3, | |
cell_radius_edge_ratio = 2.0, | |
cell_size = 0.30, | |
edge_size = 0.015); | |
C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria); | |
dump_c3t3(c3t3, "cgal_dump"); | |
} |
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6 | |
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