我正在使用CGAL（第4.14-2版），使用Simple_polygon_visibility_2类从其一个顶点计算一个简单多边形内的可见区域（多边形）。 在多边形/顶点的特定组合上，出现以下断言错误：
terminate called after throwing an instance of 'CGAL::Assertion_exception'
what(): CGAL ERROR: assertion violation!
Expr: k+1<vertices.size()
File: /usr/include/CGAL/Simple_polygon_visibility_2.h
Line: 678
这发生在类Simple_polygon_visibility_2的scan_edges方法中，似乎与给定的线段/射线应该有一些交点，但没有找到。
当我使用Triangular_expansion_visibility_2类运行相同的代码时，它似乎可以正常工作，并提供输出：
Regularized visibility region of q has 8 edges:
[7968 492 -> 7938 428]
[7884 408 -> 7968 492]
[8040 428 -> 7884 408]
[8090.99 428 -> 8040 428]
[8105.55 458.865 -> 8090.99 428]
[8090 456 -> 8105.55 458.865]
[7968 446 -> 8090 456]
[7938 428 -> 7968 446]
这是一个最小的工作示例：
#include <CGAL/Arr_naive_point_location.h>
#include <CGAL/Arr_segment_traits_2.h>
#include <CGAL/Arrangement_2.h>
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <CGAL/Polygon_2.h>
#include <CGAL/Simple_polygon_visibility_2.h>
#include <CGAL/Triangular_expansion_visibility_2.h>
#include <fstream>
#include <iostream>
#include <string>
#include <list>
#include <vector>
typedef CGAL::Exact_predicates_exact_constructions_kernel Kernel;
typedef Kernel::Point_2 Point_2;
typedef Kernel::Segment_2 Segment_2;
typedef CGAL::Polygon_2<Kernel, std::list<Point_2>> Polygon_2;
typedef CGAL::Arr_segment_traits_2<Kernel> Traits_2;
typedef CGAL::Arrangement_2<Traits_2> Arrangement_2;
typedef Arrangement_2::Face_handle Face_handle;
typedef Arrangement_2::Vertex_handle ArrVertex_handle;
typedef Arrangement_2::Edge_const_iterator Edge_const_iterator;
typedef Arrangement_2::Ccb_halfedge_circulator Ccb_halfedge_circulator;
using namespace std;
vector<Point_2> readInput() {
vector<Point_2> Points;
ifstream File;
File.open("polygon");
string Line;
long int Idx, XCoord, YCoord;
while (getline(File, Line)) {
istringstream Iss(Line);
Iss >> Idx >> XCoord >> YCoord;
Points.push_back({XCoord, YCoord});
}
return Points;
}
int main() {
// create environment
std::vector<Segment_2> segments;
Arrangement_2 env;
Segment_2 CurrSegment;
Polygon_2 AuxPoly;
auto Points = readInput();
auto QueryPt = Points[0];
ArrVertex_handle CurrPtHandle =
env.insert_in_face_interior(QueryPt, env.unbounded_face());
AuxPoly.push_back(Points[0]);
ArrVertex_handle NextPtHandle = CurrPtHandle;
ArrVertex_handle QueryPtHandle = CurrPtHandle;
for (auto i = 1; i < Points.size(); ++i) {
NextPtHandle = env.insert_in_face_interior(Points[i], env.unbounded_face());
CurrSegment = Segment_2(CurrPtHandle->point(), NextPtHandle->point());
env.insert_at_vertices(CurrSegment, CurrPtHandle, NextPtHandle);
CurrPtHandle = NextPtHandle;
AuxPoly.push_back(Points[i]);
}
assert(AuxPoly.is_simple());
CurrSegment = Segment_2(CurrPtHandle->point(), QueryPtHandle->point());
auto HalfEHandle =
env.insert_at_vertices(CurrSegment, CurrPtHandle, QueryPtHandle);
if (HalfEHandle->face()->is_unbounded()) {
// there are exactly two incident halfedges in the query point
auto FirstHalfE = HalfEHandle->target()->incident_halfedges();
HalfEHandle = (FirstHalfE != HalfEHandle) ? FirstHalfE : next(FirstHalfE, 1);
}
// compute non regularized visibility area
// Define visibiliy object type that computes regularized visibility area
typedef CGAL::Simple_polygon_visibility_2<Arrangement_2, CGAL::Tag_true> RSPV;
// typedef CGAL::Triangular_expansion_visibility_2<Arrangement_2, CGAL::Tag_true> RSPV;
Arrangement_2 regular_output;
RSPV regular_visibility(env);
regular_visibility.compute_visibility(QueryPtHandle->point(), HalfEHandle, regular_output);
std::cout << "Regularized visibility region of q has "
<< regular_output.number_of_edges() << " edges:" << std::endl;
for (Edge_const_iterator eit = regular_output.edges_begin();
eit != regular_output.edges_end(); ++eit)
std::cout << "[" << eit->source()->point() << " -> "
<< eit->target()->point() << "]" << std::endl;
return 0;
}
辅助文件arr_print.h用于打印排列：
#ifndef _PRINT_ARR_H_
#define _PRINT_ARR_H_
#include <iostream>
//-----------------------------------------------------------------------------
// Print all neighboring vertices to a given arrangement vertex.
//
template<class Arrangement>
void print_neighboring_vertices (typename Arrangement::Vertex_const_handle v)
{
if (v->is_isolated())
{
std::cout << "The vertex (" << v->point() << ") is isolated" << std::endl;
return;
}
typename Arrangement::Halfedge_around_vertex_const_circulator first, curr;
typename Arrangement::Vertex_const_handle u;
std::cout << "The neighbors of the vertex (" << v->point() << ") are:";
first = curr = v->incident_halfedges();
do
{
// Note that the current halfedge is (u -> v):
u = curr->source();
std::cout << " (" << u->point() << ")";
++curr;
} while (curr != first);
std::cout << std::endl;
return;
}
//-----------------------------------------------------------------------------
// Print all vertices (points) and edges (curves) along a connected component
// boundary.
//
template<class Arrangement>
void print_ccb (typename Arrangement::Ccb_halfedge_const_circulator circ)
{
typename Arrangement::Ccb_halfedge_const_circulator curr = circ;
typename Arrangement::Halfedge_const_handle he;
std::cout << "(" << curr->source()->point() << ")";
do
{
he = curr;
std::cout << " [" << he->curve() << "] "
<< "(" << he->target()->point() << ")";
++curr;
} while (curr != circ);
std::cout << std::endl;
return;
}
//-----------------------------------------------------------------------------
// Print the boundary description of an arrangement face.
//
template<class Arrangement>
void print_face (typename Arrangement::Face_const_handle f)
{
// Print the outer boundary.
if (f->is_unbounded())
{
std::cout << "Unbounded face. " << std::endl;
}
else
{
std::cout << "Outer boundary: ";
print_ccb<Arrangement> (f->outer_ccb());
}
// Print the boundary of each of the holes.
typename Arrangement::Hole_const_iterator hole;
int index = 1;
for (hole = f->holes_begin(); hole != f->holes_end(); ++hole, ++index)
{
std::cout << " Hole #" << index << ": ";
print_ccb<Arrangement> (*hole);
}
// Print the isolated vertices.
typename Arrangement::Isolated_vertex_const_iterator iv;
for (iv = f->isolated_vertices_begin(), index = 1;
iv != f->isolated_vertices_end(); ++iv, ++index)
{
std::cout << " Isolated vertex #" << index << ": "
<< "(" << iv->point() << ")" << std::endl;
}
return;
}
//-----------------------------------------------------------------------------
// Print the given arrangement.
//
template<class Arrangement>
void print_arrangement (const Arrangement& arr)
{
// CGAL_precondition (arr.is_valid());
// Print the arrangement vertices.
typename Arrangement::Vertex_const_iterator vit;
std::cout << arr.number_of_vertices() << " vertices:" << std::endl;
for (vit = arr.vertices_begin(); vit != arr.vertices_end(); ++vit)
{
std::cout << "(" << vit->point() << ")";
if (vit->is_isolated())
std::cout << " - Isolated." << std::endl;
else
std::cout << " - degree " << vit->degree() << std::endl;
}
// Print the arrangement edges.
typename Arrangement::Edge_const_iterator eit;
std::cout << arr.number_of_edges() << " edges:" << std::endl;
for (eit = arr.edges_begin(); eit != arr.edges_end(); ++eit)
std::cout << "[" << eit->curve() << "]" << std::endl;
// Print the arrangement faces.
typename Arrangement::Face_const_iterator fit;
std::cout << arr.number_of_faces() << " faces:" << std::endl;
for (fit = arr.faces_begin(); fit != arr.faces_end(); ++fit)
print_face<Arrangement> (fit);
return;
}
#endif
输入多边形：
输入文件的每一行都有多边形顶点ID，后跟其x坐标。查询点是ID为1716的查询点。
有人可以帮我解决这个问题吗？
谢谢大家。