OpenMesh
PolyMeshT.hh
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49 
50 //=============================================================================
51 //
52 // CLASS PolyMeshT
53 //
54 //=============================================================================
55 
56 
57 #ifndef OPENMESH_POLYMESHT_HH
58 #define OPENMESH_POLYMESHT_HH
59 
60 
61 //== INCLUDES =================================================================
62 
63 
64 #include <OpenMesh/Core/System/config.h>
65 #include <OpenMesh/Core/Geometry/MathDefs.hh>
66 #include <OpenMesh/Core/Mesh/PolyConnectivity.hh>
67 #include <OpenMesh/Core/Mesh/FinalMeshItemsT.hh>
68 #include <vector>
69 
70 
71 //== NAMESPACES ===============================================================
72 
73 
74 namespace OpenMesh {
75 
76 //== CLASS DEFINITION =========================================================
77 
78 
93 template <class Kernel>
94 class PolyMeshT : public Kernel
95 {
96 public:
97 
100  //--- item types ---
101 
103  enum { IsPolyMesh = 1 };
105  enum { IsTriMesh = 0 };
106  static bool is_polymesh() { return true; }
107  static bool is_trimesh() { return false; }
109 
111 
112  typedef typename Kernel::Scalar Scalar;
115  typedef typename Kernel::Point Point;
117  typedef typename Kernel::Normal Normal;
119  typedef typename Kernel::Color Color;
121  typedef typename Kernel::TexCoord1D TexCoord1D;
123  typedef typename Kernel::TexCoord2D TexCoord2D;
125  typedef typename Kernel::TexCoord3D TexCoord3D;
127  typedef typename Kernel::Vertex Vertex;
129  typedef typename Kernel::Halfedge Halfedge;
131  typedef typename Kernel::Edge Edge;
133  typedef typename Kernel::Face Face;
135 
136  //--- handle types ---
137 
139  typedef typename Kernel::VertexHandle VertexHandle;
140  typedef typename Kernel::HalfedgeHandle HalfedgeHandle;
141  typedef typename Kernel::EdgeHandle EdgeHandle;
142  typedef typename Kernel::FaceHandle FaceHandle;
143 
144 
145 
146  typedef typename Kernel::VertexIter VertexIter;
147  typedef typename Kernel::HalfedgeIter HalfedgeIter;
148  typedef typename Kernel::EdgeIter EdgeIter;
149  typedef typename Kernel::FaceIter FaceIter;
150 
151  typedef typename Kernel::ConstVertexIter ConstVertexIter;
152  typedef typename Kernel::ConstHalfedgeIter ConstHalfedgeIter;
153  typedef typename Kernel::ConstEdgeIter ConstEdgeIter;
154  typedef typename Kernel::ConstFaceIter ConstFaceIter;
156 
157  //--- circulators ---
158 
164  typedef typename Kernel::VertexVertexIter VertexVertexIter;
166  typedef typename Kernel::VertexOHalfedgeIter VertexOHalfedgeIter;
167  typedef typename Kernel::VertexIHalfedgeIter VertexIHalfedgeIter;
168  typedef typename Kernel::VertexEdgeIter VertexEdgeIter;
169  typedef typename Kernel::VertexFaceIter VertexFaceIter;
170  typedef typename Kernel::FaceVertexIter FaceVertexIter;
171  typedef typename Kernel::FaceHalfedgeIter FaceHalfedgeIter;
172  typedef typename Kernel::FaceEdgeIter FaceEdgeIter;
173  typedef typename Kernel::FaceFaceIter FaceFaceIter;
174 
175  typedef typename Kernel::ConstVertexVertexIter ConstVertexVertexIter;
176  typedef typename Kernel::ConstVertexOHalfedgeIter ConstVertexOHalfedgeIter;
177  typedef typename Kernel::ConstVertexIHalfedgeIter ConstVertexIHalfedgeIter;
178  typedef typename Kernel::ConstVertexEdgeIter ConstVertexEdgeIter;
179  typedef typename Kernel::ConstVertexFaceIter ConstVertexFaceIter;
180  typedef typename Kernel::ConstFaceVertexIter ConstFaceVertexIter;
181  typedef typename Kernel::ConstFaceHalfedgeIter ConstFaceHalfedgeIter;
182  typedef typename Kernel::ConstFaceEdgeIter ConstFaceEdgeIter;
183  typedef typename Kernel::ConstFaceFaceIter ConstFaceFaceIter;
185 
186 
187  // --- constructor/destructor
188  PolyMeshT() {}
189  virtual ~PolyMeshT() {}
190 
195  // --- creation ---
196 
202  inline VertexHandle new_vertex()
203  { return Kernel::new_vertex(); }
204 
210  inline VertexHandle new_vertex(const Point& _p)
211  {
212  VertexHandle vh(Kernel::new_vertex());
213  this->set_point(vh, _p);
214  return vh;
215  }
216 
228  inline VertexHandle new_vertex_dirty(const Point& _p)
229  {
230  VertexHandle vh(Kernel::new_vertex_dirty());
231  this->set_point(vh, _p);
232  return vh;
233  }
234 
236  inline VertexHandle add_vertex(const Point& _p)
237  { return new_vertex(_p); }
238 
240  inline VertexHandle add_vertex_dirty(const Point& _p)
241  { return new_vertex_dirty(_p); }
242 
243  // --- normal vectors ---
244 
248 
256  void update_normals();
257 
259  void update_normal(FaceHandle _fh)
260  { this->set_normal(_fh, calc_face_normal(_fh)); }
261 
267  void update_face_normals();
268 
270  virtual Normal calc_face_normal(FaceHandle _fh) const;
271 
273  Normal calc_face_normal(const Point& _p0, const Point& _p1,
274  const Point& _p2) const;
276  void calc_face_centroid(FaceHandle _fh, Point& _pt) const {
277  _pt = calc_face_centroid(_fh);
278  }
279 
281  Point calc_face_centroid(FaceHandle _fh) const;
282 
284  void update_normal(HalfedgeHandle _heh, const double _feature_angle = 0.8)
285  { this->set_normal(_heh, calc_halfedge_normal(_heh,_feature_angle)); }
286 
296  void update_halfedge_normals(const double _feature_angle = 0.8);
297 
310  virtual Normal calc_halfedge_normal(HalfedgeHandle _heh, const double _feature_angle = 0.8) const;
311 
312 
315  bool is_estimated_feature_edge(HalfedgeHandle _heh, const double _feature_angle) const;
316 
318  void update_normal(VertexHandle _vh)
319  { this->set_normal(_vh, calc_vertex_normal(_vh)); }
320 
330  void update_vertex_normals();
331 
344  Normal calc_vertex_normal(VertexHandle _vh) const;
345 
353  void calc_vertex_normal_fast(VertexHandle _vh, Normal& _n) const;
354  void calc_vertex_normal_correct(VertexHandle _vh, Normal& _n) const;
355  void calc_vertex_normal_loop(VertexHandle _vh, Normal& _n) const;
356 
357 
359 
360  // --- Geometry API - still in development ---
361 
364  void calc_edge_vector(EdgeHandle _eh, Normal& _edge_vec) const
365  {
366  _edge_vec = calc_edge_vector(_eh);
367  }
368 
371  Normal calc_edge_vector(EdgeHandle _eh) const
372  {
373  return calc_edge_vector(this->halfedge_handle(_eh,0));
374  }
375 
378  void calc_edge_vector(HalfedgeHandle _heh, Normal& _edge_vec) const
379  {
380  _edge_vec = calc_edge_vector(_heh);
381  }
382 
385  Normal calc_edge_vector(HalfedgeHandle _heh) const
386  {
387  return this->point(this->to_vertex_handle(_heh)) -
388  this->point(this->from_vertex_handle(_heh));
389  }
390 
391  // Calculates the length of the edge _eh
392  Scalar calc_edge_length(EdgeHandle _eh) const
393  { return calc_edge_length(this->halfedge_handle(_eh,0)); }
394 
397  Scalar calc_edge_length(HalfedgeHandle _heh) const
398  { return (Scalar)sqrt(calc_edge_sqr_length(_heh)); }
399 
400  Scalar calc_edge_sqr_length(EdgeHandle _eh) const
401  { return calc_edge_sqr_length(this->halfedge_handle(_eh,0)); }
402 
403  Scalar calc_edge_sqr_length(HalfedgeHandle _heh) const
404  {
405  Normal edge_vec;
406  calc_edge_vector(_heh, edge_vec);
407  return edge_vec.sqrnorm();
408  }
409 
414  void calc_sector_vectors(HalfedgeHandle _in_heh, Normal& _vec0, Normal& _vec1) const
415  {
416  calc_edge_vector(this->next_halfedge_handle(_in_heh), _vec0);//p2 - p1
417  calc_edge_vector(this->opposite_halfedge_handle(_in_heh), _vec1);//p0 - p1
418  }
419 
425  Scalar calc_sector_angle(HalfedgeHandle _in_heh) const
426  {
427  Normal v0, v1;
428  calc_sector_vectors(_in_heh, v0, v1);
429  Scalar denom = v0.norm()*v1.norm();
430  if (is_zero(denom))
431  {
432  return 0;
433  }
434  Scalar cos_a = dot(v0 , v1) / denom;
435  if (this->is_boundary(_in_heh))
436  {//determine if the boundary sector is concave or convex
437  FaceHandle fh(this->face_handle(this->opposite_halfedge_handle(_in_heh)));
438  Normal f_n(calc_face_normal(fh));//this normal is (for convex fh) OK
439  Scalar sign_a = dot(cross(v0, v1), f_n);
440  return angle(cos_a, sign_a);
441  }
442  else
443  {
444  return acos(sane_aarg(cos_a));
445  }
446  }
447 
448  // calculate the cos and the sin of angle <(_in_heh,next_halfedge(_in_heh))
449  /*
450  void calc_sector_angle_cos_sin(HalfedgeHandle _in_heh, Scalar& _cos_a, Scalar& _sin_a) const
451  {
452  Normal in_vec, out_vec;
453  calc_edge_vector(_in_heh, in_vec);
454  calc_edge_vector(next_halfedge_handle(_in_heh), out_vec);
455  Scalar denom = in_vec.norm()*out_vec.norm();
456  if (is_zero(denom))
457  {
458  _cos_a = 1;
459  _sin_a = 0;
460  }
461  else
462  {
463  _cos_a = dot(in_vec, out_vec)/denom;
464  _sin_a = cross(in_vec, out_vec).norm()/denom;
465  }
466  }
467  */
470  void calc_sector_normal(HalfedgeHandle _in_heh, Normal& _sector_normal) const
471  {
472  Normal vec0, vec1;
473  calc_sector_vectors(_in_heh, vec0, vec1);
474  _sector_normal = cross(vec0, vec1);//(p2-p1)^(p0-p1)
475  }
476 
480  Scalar calc_sector_area(HalfedgeHandle _in_heh) const
481  {
482  Normal sector_normal;
483  calc_sector_normal(_in_heh, sector_normal);
484  return sector_normal.norm()/2;
485  }
486 
489  Scalar calc_dihedral_angle_fast(HalfedgeHandle _heh) const
490  {
491  // Make sure that we have face normals on the mesh
492  assert(Kernel::has_face_normals());
493 
494  if (this->is_boundary(this->edge_handle(_heh)))
495  {//the dihedral angle at a boundary edge is 0
496  return 0;
497  }
498  const Normal& n0 = this->normal(this->face_handle(_heh));
499  const Normal& n1 = this->normal(this->face_handle(this->opposite_halfedge_handle(_heh)));
500  Normal he;
501  calc_edge_vector(_heh, he);
502  Scalar da_cos = dot(n0, n1);
503  //should be normalized, but we need only the sign
504  Scalar da_sin_sign = dot(cross(n0, n1), he);
505  return angle(da_cos, da_sin_sign);
506  }
507 
510  Scalar calc_dihedral_angle_fast(EdgeHandle _eh) const
511  { return calc_dihedral_angle_fast(this->halfedge_handle(_eh,0)); }
512 
513  // calculates the dihedral angle on the halfedge _heh
514  Scalar calc_dihedral_angle(HalfedgeHandle _heh) const
515  {
516  if (this->is_boundary(this->edge_handle(_heh)))
517  {//the dihedral angle at a boundary edge is 0
518  return 0;
519  }
520  Normal n0, n1, he;
521  calc_sector_normal(_heh, n0);
522  calc_sector_normal(this->opposite_halfedge_handle(_heh), n1);
523  calc_edge_vector(_heh, he);
524  Scalar denom = n0.norm()*n1.norm();
525  if (denom == Scalar(0))
526  {
527  return 0;
528  }
529  Scalar da_cos = dot(n0, n1)/denom;
530  //should be normalized, but we need only the sign
531  Scalar da_sin_sign = dot(cross(n0, n1), he);
532  return angle(da_cos, da_sin_sign);
533  }
534 
535  // calculates the dihedral angle on the edge _eh
536  Scalar calc_dihedral_angle(EdgeHandle _eh) const
537  { return calc_dihedral_angle(this->halfedge_handle(_eh,0)); }
538 
541  unsigned int find_feature_edges(Scalar _angle_tresh = OpenMesh::deg_to_rad(44.0));
542  // --- misc ---
543 
545  inline void split(FaceHandle _fh, const Point& _p)
546  { Kernel::split(_fh, add_vertex(_p)); }
547 
548  inline void split(FaceHandle _fh, VertexHandle _vh)
549  { Kernel::split(_fh, _vh); }
550 
551  inline void split(EdgeHandle _eh, const Point& _p)
552  { Kernel::split_edge(_eh, add_vertex(_p)); }
553 
554  inline void split(EdgeHandle _eh, VertexHandle _vh)
555  { Kernel::split_edge(_eh, _vh); }
556 
557 private:
558  struct PointIs3DTag {};
559  struct PointIsNot3DTag {};
560  Normal calc_face_normal_impl(FaceHandle, PointIs3DTag) const;
561  Normal calc_face_normal_impl(FaceHandle, PointIsNot3DTag) const;
562  Normal calc_face_normal_impl(const Point&, const Point&, const Point&, PointIs3DTag) const;
563  Normal calc_face_normal_impl(const Point&, const Point&, const Point&, PointIsNot3DTag) const;
564 };
565 
591 template<typename LHS, typename KERNEL>
593  return MeshCast<LHS, PolyMeshT<KERNEL>&>::cast(rhs);
594 }
595 
596 template<typename LHS, typename KERNEL>
597 LHS mesh_cast(PolyMeshT<KERNEL> *rhs) {
598  return MeshCast<LHS, PolyMeshT<KERNEL>*>::cast(rhs);
599 }
600 
601 template<typename LHS, typename KERNEL>
602 const LHS mesh_cast(const PolyMeshT<KERNEL> &rhs) {
603  return MeshCast<LHS, const PolyMeshT<KERNEL>&>::cast(rhs);
604 }
605 
606 template<typename LHS, typename KERNEL>
607 const LHS mesh_cast(const PolyMeshT<KERNEL> *rhs) {
608  return MeshCast<LHS, const PolyMeshT<KERNEL>*>::cast(rhs);
609 }
610 
611 //=============================================================================
612 } // namespace OpenMesh
613 //=============================================================================
614 #if defined(OM_INCLUDE_TEMPLATES) && !defined(OPENMESH_POLYMESH_C)
615 # define OPENMESH_POLYMESH_TEMPLATES
616 # include "PolyMeshT.cc"
617 #endif
618 //=============================================================================
619 #endif // OPENMESH_POLYMESHT_HH defined
620 //=============================================================================
PolyMeshT< Kernel > This
Self type. Used to specify iterators/circulators.
Definition: PolyMeshT.hh:99
void update_normals()
Compute normals for all primitives.
Definition: PolyMeshT.cc:241
Kernel::VertexFaceIter VertexFaceIter
Circulator.
Definition: PolyMeshT.hh:169
static bool is_trimesh()
Determine whether this is a PolyMeshT or TriMeshT ( This function does not check the per face vertex ...
Definition: PolyMeshT.hh:107
Kernel::ConstFaceFaceIter ConstFaceFaceIter
Circulator.
Definition: PolyMeshT.hh:183
VertexHandle new_vertex()
Uses default copy and assignment operator.
Definition: PolyMeshT.hh:202
Kernel::ConstVertexIHalfedgeIter ConstVertexIHalfedgeIter
Circulator.
Definition: PolyMeshT.hh:177
void update_normal(HalfedgeHandle _heh, const double _feature_angle=0.8)
Update normal for halfedge _heh.
Definition: PolyMeshT.hh:284
osg::Vec3f cross(const osg::Vec3f &_v1, const osg::Vec3f &_v2)
Adapter for osg vector member computing a scalar product.
Definition: VectorAdapter.hh:196
Kernel::Scalar Scalar
Scalar type.
Definition: PolyMeshT.hh:113
Scalar calc_dihedral_angle_fast(HalfedgeHandle _heh) const
calculates the dihedral angle on the halfedge _heh
Definition: PolyMeshT.hh:489
Kernel::FaceFaceIter FaceFaceIter
Circulator.
Definition: PolyMeshT.hh:173
Kernel::ConstFaceEdgeIter ConstFaceEdgeIter
Circulator.
Definition: PolyMeshT.hh:182
virtual Normal calc_face_normal(FaceHandle _fh) const
Calculate normal vector for face _fh.
Definition: PolyMeshT.cc:102
Kernel::ConstVertexVertexIter ConstVertexVertexIter
Circulator.
Definition: PolyMeshT.hh:175
Kernel::Edge Edge
Edge type.
Definition: PolyMeshT.hh:131
Add 1D texture coordinates (vertices, halfedges)
Definition: Attributes.hh:91
Kernel::TexCoord1D TexCoord1D
TexCoord1D type.
Definition: PolyMeshT.hh:121
Kernel::FaceEdgeIter FaceEdgeIter
Circulator.
Definition: PolyMeshT.hh:172
Kernel::FaceVertexIter FaceVertexIter
Circulator.
Definition: PolyMeshT.hh:170
Normal calc_edge_vector(EdgeHandle _eh) const
Calculates the edge vector as the vector defined by the halfedge with id #0 (see below) ...
Definition: PolyMeshT.hh:371
Kernel::TexCoord2D TexCoord2D
TexCoord2D type.
Definition: PolyMeshT.hh:123
Kernel::VertexHandle VertexHandle
Handle for referencing the corresponding item.
Definition: PolyMeshT.hh:139
unsigned int find_feature_edges(Scalar _angle_tresh=OpenMesh::deg_to_rad(44.0))
tags an edge as a feature if its dihedral angle is larger than _angle_tresh returns the number of the...
Definition: PolyMeshT.cc:79
void calc_vertex_normal_fast(VertexHandle _vh, Normal &_n) const
Different methods for calculation of the normal at _vh:
Definition: PolyMeshT.cc:387
Base type for a polygonal mesh.
Definition: PolyMeshT.hh:94
virtual Normal calc_halfedge_normal(HalfedgeHandle _heh, const double _feature_angle=0.8) const
Calculate halfedge normal for one specific halfedge.
Definition: PolyMeshT.cc:289
Kernel::VertexIHalfedgeIter VertexIHalfedgeIter
Circulator.
Definition: PolyMeshT.hh:167
VertexHandle new_vertex_dirty(const Point &_p)
Same as new_vertex(const Point&) but never shrinks, only enlarges the vertex property vectors...
Definition: PolyMeshT.hh:228
void calc_sector_normal(HalfedgeHandle _in_heh, Normal &_sector_normal) const
calculates the normal (non-normalized) of the face sector defined by the angle <(_in_heh,next_halfedge(_in_heh))
Definition: PolyMeshT.hh:470
Kernel::ConstFaceVertexIter ConstFaceVertexIter
Circulator.
Definition: PolyMeshT.hh:180
Kernel::FaceHalfedgeIter FaceHalfedgeIter
Circulator.
Definition: PolyMeshT.hh:171
Kernel::Vertex Vertex
Vertex type.
Definition: PolyMeshT.hh:127
static bool is_polymesh()
Determine whether this is a PolyMeshT or TriMeshT ( This function does not check the per face vertex ...
Definition: PolyMeshT.hh:106
Scalar calc_edge_length(HalfedgeHandle _heh) const
Calculates the length of the edge _heh.
Definition: PolyMeshT.hh:397
bool is_estimated_feature_edge(HalfedgeHandle _heh, const double _feature_angle) const
identifies feature edges w.r.t.
Definition: PolyMeshT.cc:342
Kernel::ConstVertexOHalfedgeIter ConstVertexOHalfedgeIter
Circulator.
Definition: PolyMeshT.hh:176
VertexHandle add_vertex_dirty(const Point &_p)
Alias for new_vertex_dirty().
Definition: PolyMeshT.hh:240
void calc_vertex_normal_loop(VertexHandle _vh, Normal &_n) const
Compute normals for all primitives.
Definition: PolyMeshT.cc:425
Add 2D texture coordinates (vertices, halfedges)
Definition: Attributes.hh:92
Normal calc_edge_vector(HalfedgeHandle _heh) const
Calculates the edge vector as the difference of the the points defined by to_vertex_handle() and from...
Definition: PolyMeshT.hh:385
Kernel::ConstFaceHalfedgeIter ConstFaceHalfedgeIter
Circulator.
Definition: PolyMeshT.hh:181
Kernel::Normal Normal
Normal type.
Definition: PolyMeshT.hh:117
void update_face_normals()
Update normal vectors for all faces.
Definition: PolyMeshT.cc:259
osg::Vec3f::ValueType dot(const osg::Vec3f &_v1, const osg::Vec3f &_v2)
Adapter for osg vector member computing a scalar product.
Definition: VectorAdapter.hh:181
Kernel::Color Color
Color type.
Definition: PolyMeshT.hh:119
Kernel::ConstVertexFaceIter ConstVertexFaceIter
Circulator.
Definition: PolyMeshT.hh:179
void update_halfedge_normals(const double _feature_angle=0.8)
Update normal vectors for all halfedges.
Definition: PolyMeshT.cc:274
Kernel::TexCoord3D TexCoord3D
TexCoord3D type.
Definition: PolyMeshT.hh:125
Normal calc_vertex_normal(VertexHandle _vh) const
Calculate vertex normal for one specific vertex.
Definition: PolyMeshT.cc:373
Kernel::VertexVertexIter VertexVertexIter
Circulator.
Definition: PolyMeshT.hh:165
T angle(T _cos_angle, T _sin_angle)
returns the angle determined by its cos and the sign of its sin result is positive if the angle is in...
Definition: MathDefs.hh:145
Add 3D texture coordinates (vertices, halfedges)
Definition: Attributes.hh:93
LHS mesh_cast(PolyMeshT< KERNEL > &rhs)
Cast a mesh with different but identical traits into each other.
Definition: PolyMeshT.hh:592
VertexHandle new_vertex(const Point &_p)
Adds a new vertex initialized to a custom position.
Definition: PolyMeshT.hh:210
bool is_zero(const T &_a, Real _eps)
comparison operators with user-selected precision control
Definition: MathDefs.hh:66
Kernel::Point Point
Coordinate type.
Definition: PolyMeshT.hh:115
Kernel::ConstVertexEdgeIter ConstVertexEdgeIter
Circulator.
Definition: PolyMeshT.hh:178
void calc_face_centroid(FaceHandle _fh, Point &_pt) const
calculates the average of the vertices defining _fh
Definition: PolyMeshT.hh:276
void update_normal(VertexHandle _vh)
Update normal for vertex _vh.
Definition: PolyMeshT.hh:318
T sane_aarg(T _aarg)
Trigonometry/angles - related.
Definition: MathDefs.hh:127
void calc_sector_vectors(HalfedgeHandle _in_heh, Normal &_vec0, Normal &_vec1) const
defines a consistent representation of a sector geometry: the halfedge _in_heh defines the sector ori...
Definition: PolyMeshT.hh:414
Scalar calc_sector_angle(HalfedgeHandle _in_heh) const
calculates the sector angle.
Definition: PolyMeshT.hh:425
void split(FaceHandle _fh, const Point &_p)
Face split (= 1-to-n split)
Definition: PolyMeshT.hh:545
void calc_vertex_normal_correct(VertexHandle _vh, Normal &_n) const
Compute normals for all primitives.
Definition: PolyMeshT.cc:397
void update_normal(FaceHandle _fh)
Update normal for face _fh.
Definition: PolyMeshT.hh:259
Scalar calc_sector_area(HalfedgeHandle _in_heh) const
calculates the area of the face sector defined by the angle <(_in_heh,next_halfedge(_in_heh)) NOTE: s...
Definition: PolyMeshT.hh:480
void calc_edge_vector(HalfedgeHandle _heh, Normal &_edge_vec) const
Calculates the edge vector as the difference of the the points defined by to_vertex_handle() and from...
Definition: PolyMeshT.hh:378
void update_vertex_normals()
Update normal vectors for all vertices.
Definition: PolyMeshT.cc:448
void calc_edge_vector(EdgeHandle _eh, Normal &_edge_vec) const
Calculates the edge vector as the vector defined by the halfedge with id #0 (see below) ...
Definition: PolyMeshT.hh:364
Kernel::VertexOHalfedgeIter VertexOHalfedgeIter
Circulator.
Definition: PolyMeshT.hh:166
VertexHandle add_vertex(const Point &_p)
Alias for new_vertex(const Point&).
Definition: PolyMeshT.hh:236
Kernel::VertexEdgeIter VertexEdgeIter
Circulator.
Definition: PolyMeshT.hh:168
Add normals to mesh item (vertices/faces)
Definition: Attributes.hh:87
Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...
Definition: MeshItems.hh:64
Kernel::Halfedge Halfedge
Halfedge type.
Definition: PolyMeshT.hh:129
Kernel::Face Face
Face type.
Definition: PolyMeshT.hh:133
Scalar calc_dihedral_angle_fast(EdgeHandle _eh) const
calculates the dihedral angle on the edge _eh
Definition: PolyMeshT.hh:510
Add colors to mesh item (vertices/faces/edges)
Definition: Attributes.hh:88
Cast a mesh with different but identical traits into each other.
Definition: FinalMeshItemsT.hh:183

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