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Sqrt3T.hh
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53 //=============================================================================
54 //
55 // CLASS Sqrt3T
56 //
57 //=============================================================================
58
59 #ifndef OPENMESH_SUBDIVIDER_UNIFORM_SQRT3T_HH
60 #define OPENMESH_SUBDIVIDER_UNIFORM_SQRT3T_HH
61
62
63 //== INCLUDES =================================================================
64
65 #include <OpenMesh/Core/Mesh/Handles.hh>
66 #include <OpenMesh/Core/System/config.hh>
67 #include <OpenMesh/Tools/Subdivider/Uniform/SubdividerT.hh>
68 #if defined(_DEBUG) || defined(DEBUG)
69 // Makes life lot easier, when playing/messing around with low-level topology
70 // changing methods of OpenMesh
71 # include <OpenMesh/Tools/Utils/MeshCheckerT.hh>
72 # define ASSERT_CONSISTENCY( T, m ) \
73 assert(OpenMesh::Utils::MeshCheckerT<T>(m).check())
74 #else
75 # define ASSERT_CONSISTENCY( T, m )
76 #endif
77 // -------------------- STL
78 #include <vector>
79 #if defined(OM_CC_MIPS)
80 # include <math.h>
81 #else
82 # include <cmath>
83 #endif
84
85
86 //== NAMESPACE ================================================================
87
88 namespace OpenMesh { // BEGIN_NS_OPENMESH
89 namespace Subdivider { // BEGIN_NS_DECIMATER
90 namespace Uniform { // BEGIN_NS_DECIMATER
91
92
93 //== CLASS DEFINITION =========================================================
94
95
102 template <typename MeshType, typename RealType = float>
103 class Sqrt3T : public SubdividerT< MeshType, RealType >
104 {
105 public:
106
107 typedef RealType real_t;
108 typedef MeshType mesh_t;
109 typedef SubdividerT< mesh_t, real_t > parent_t;
110
111 typedef std::pair< real_t, real_t > weight_t;
112 typedef std::vector< std::pair<real_t,real_t> > weights_t;
113
114 public:
115
116
117 Sqrt3T(void) : parent_t(), _1over3( real_t(1.0/3.0) ), _1over27( real_t(1.0/27.0) )
118 { init_weights(); }
119
120 Sqrt3T(MeshType &_m) : parent_t(_m), _1over3( real_t(1.0/3.0) ), _1over27( real_t(1.0/27.0) )
121 { init_weights(); }
122
123 virtual ~Sqrt3T() {}
124
125
126 public:
127
128
129 const char *name() const { return "Uniform Sqrt3"; }
130
131
133 void init_weights(size_t _max_valence=50)
134 {
135 weights_.resize(_max_valence);
136 std::generate(weights_.begin(), weights_.end(), compute_weight());
137 }
138
139
140 protected:
141
142
143 bool prepare( MeshType& _m )
144 {
145 _m.request_edge_status();
146 _m.add_property( vp_pos_ );
147 _m.add_property( ep_nv_ );
148 _m.add_property( mp_gen_ );
149 _m.property( mp_gen_ ) = 0;
150
151 return _m.has_edge_status() && vp_pos_.is_valid()
152 && ep_nv_.is_valid() && mp_gen_.is_valid();
153 }
154
155
156 bool cleanup( MeshType& _m )
157 {
158 _m.release_edge_status();
159 _m.remove_property( vp_pos_ );
160 _m.remove_property( ep_nv_ );
161 _m.remove_property( mp_gen_ );
162 return true;
163 }
164
165 bool subdivide( MeshType& _m, size_t _n , const bool _update_points = true)
166 {
167
169
170 typename MeshType::VertexIter vit;
171 typename MeshType::VertexVertexIter vvit;
172 typename MeshType::EdgeIter eit;
173 typename MeshType::FaceIter fit;
174 typename MeshType::FaceVertexIter fvit;
175 typename MeshType::VertexHandle vh;
176 typename MeshType::HalfedgeHandle heh;
177 typename MeshType::Point pos(0,0,0), zero(0,0,0);
178 size_t &gen = _m.property( mp_gen_ );
179
180 for (size_t l=0; l<_n; ++l)
181 {
182 // tag existing edges
183 for (eit=_m.edges_begin(); eit != _m.edges_end();++eit)
184 {
185 _m.status( *eit ).set_tagged( true );
186 if ( (gen%2) && _m.is_boundary(*eit) )
187 compute_new_boundary_points( _m, *eit ); // *) creates new vertices
188 }
189
190 // do relaxation of old vertices, but store new pos in property vp_pos_
191
192 for (vit=_m.vertices_begin(); vit!=_m.vertices_end(); ++vit)
193 {
194 if ( _m.is_boundary(*vit) )
195 {
196 if ( gen%2 )
197 {
198 heh = _m.halfedge_handle(*vit);
199 if (heh.is_valid()) // skip isolated newly inserted vertices *)
200 {
201 typename OpenMesh::HalfedgeHandle
202 prev_heh = _m.prev_halfedge_handle(heh);
203
204 assert( _m.is_boundary(heh ) );
205 assert( _m.is_boundary(prev_heh) );
206
207 pos = _m.point(_m.to_vertex_handle(heh));
208 pos += _m.point(_m.from_vertex_handle(prev_heh));
209 pos *= real_t(4.0);
210
211 pos += real_t(19.0) * _m.point( *vit );
212 pos *= _1over27;
213
214 _m.property( vp_pos_, *vit ) = pos;
215 }
216 }
217 else
218 _m.property( vp_pos_, *vit ) = _m.point( *vit );
219 }
220 else
221 {
222 size_t valence=0;
223
224 pos = zero;
225 for ( vvit = _m.vv_iter(*vit); vvit.is_valid(); ++vvit)
226 {
227 pos += _m.point( *vvit );
228 ++valence;
229 }
230 pos *= weights_[ valence ].second;
231 pos += weights_[ valence ].first * _m.point(*vit);
232 _m.property( vp_pos_, *vit ) = pos;
233 }
234 }
235
236 // insert new vertices, but store pos in vp_pos_
237 typename MeshType::FaceIter fend = _m.faces_end();
238 for (fit = _m.faces_begin();fit != fend; ++fit)
239 {
240 if ( (gen%2) && _m.is_boundary(*fit))
241 {
242 boundary_split( _m, *fit );
243 }
244 else
245 {
246 fvit = _m.fv_iter( *fit );
247 pos = _m.point( *fvit);
248 pos += _m.point(*(++fvit));
249 pos += _m.point(*(++fvit));
250 pos *= _1over3;
251 vh = _m.add_vertex( zero );
252 _m.property( vp_pos_, vh ) = pos;
253 _m.split( *fit, vh );
254 }
255 }
256
257 // commit new positions (now iterating over all vertices)
258 for (vit=_m.vertices_begin();vit != _m.vertices_end(); ++vit)
259 _m.set_point(*vit, _m.property( vp_pos_, *vit ) );
260
261 // flip old edges
262 for (eit=_m.edges_begin(); eit != _m.edges_end(); ++eit)
263 if ( _m.status( *eit ).tagged() && !_m.is_boundary( *eit ) )
264 _m.flip(*eit);
265
266 // Now we have an consistent mesh!
267 ASSERT_CONSISTENCY( MeshType, _m );
268
269 // increase generation by one
270 ++gen;
271 }
272 return true;
273 }
274
275 private:
276
279 struct compute_weight
280 {
281 compute_weight() : valence(-1) { }
282 weight_t operator() (void)
283 {
284 #if !defined(OM_CC_MIPS)
285 using std::cos;
286 #endif
287 if (++valence)
288 {
289 real_t alpha = real_t( (4.0-2.0*cos(2.0*M_PI / real_t(valence)) )/9.0 );
290 return weight_t( real_t(1)-alpha, alpha/real_t(valence) );
291 }
292 return weight_t(real_t(0.0), real_t(0.0) );
293 }
294 int valence;
295 };
296
297 private:
298
299 // Pre-compute location of new boundary points for odd generations
300 // and store them in the edge property ep_nv_;
301 void compute_new_boundary_points( MeshType& _m,
302 const typename MeshType::EdgeHandle& _eh)
303 {
304 assert( _m.is_boundary(_eh) );
305
306 typename MeshType::HalfedgeHandle heh;
307 typename MeshType::VertexHandle vh1, vh2, vh3, vh4, vhl, vhr;
308 typename MeshType::Point zero(0,0,0), P1, P2, P3, P4;
309
310 /*
311 // *---------*---------*
312 // / \ / \ / \
313 // / \ / \ / \
314 // / \ / \ / \
315 // / \ / \ / \
316 // *---------*--#---#--*---------*
317 //
318 // ^ ^ ^ ^ ^ ^
319 // P1 P2 pl pr P3 P4
320 */
321 // get halfedge pointing from P3 to P2 (outer boundary halfedge)
322
323 heh = _m.halfedge_handle(_eh,
324 _m.is_boundary(_m.halfedge_handle(_eh,1)));
325
326 assert( _m.is_boundary( _m.next_halfedge_handle( heh ) ) );
327 assert( _m.is_boundary( _m.prev_halfedge_handle( heh ) ) );
328
329 vh1 = _m.to_vertex_handle( _m.next_halfedge_handle( heh ) );
330 vh2 = _m.to_vertex_handle( heh );
331 vh3 = _m.from_vertex_handle( heh );
332 vh4 = _m.from_vertex_handle( _m.prev_halfedge_handle( heh ));
333
334 P1 = _m.point(vh1);
335 P2 = _m.point(vh2);
336 P3 = _m.point(vh3);
337 P4 = _m.point(vh4);
338
339 vhl = _m.add_vertex(zero);
340 vhr = _m.add_vertex(zero);
341
342 _m.property(vp_pos_, vhl ) = (P1 + real_t(16.0f) * P2 + real_t(10.0f) * P3) * _1over27;
343 _m.property(vp_pos_, vhr ) = ( real_t(10.0f) * P2 + real_t(16.0f) * P3 + P4) * _1over27;
344 _m.property(ep_nv_, _eh).first = vhl;
345 _m.property(ep_nv_, _eh).second = vhr;
346 }
347
348
349 void boundary_split( MeshType& _m, const typename MeshType::FaceHandle& _fh )
350 {
351 assert( _m.is_boundary(_fh) );
352
353 typename MeshType::VertexHandle vhl, vhr;
354 typename MeshType::FaceEdgeIter fe_it;
355 typename MeshType::HalfedgeHandle heh;
356
357 // find boundary edge
358 for( fe_it=_m.fe_iter( _fh ); fe_it.is_valid() && !_m.is_boundary( *fe_it ); ++fe_it ) {};
359
360 // use precomputed, already inserted but not linked vertices
361 vhl = _m.property(ep_nv_, *fe_it).first;
362 vhr = _m.property(ep_nv_, *fe_it).second;
363
364 /*
365 // *---------*---------*
366 // / \ / \ / \
367 // / \ / \ / \
368 // / \ / \ / \
369 // / \ / \ / \
370 // *---------*--#---#--*---------*
371 //
372 // ^ ^ ^ ^ ^ ^
373 // P1 P2 pl pr P3 P4
374 */
375 // get halfedge pointing from P2 to P3 (inner boundary halfedge)
376
377 heh = _m.halfedge_handle(*fe_it,
378 _m.is_boundary(_m.halfedge_handle(*fe_it,0)));
379
380 typename MeshType::HalfedgeHandle pl_P3;
381
382 // split P2->P3 (heh) in P2->pl (heh) and pl->P3
383 boundary_split( _m, heh, vhl ); // split edge
384 pl_P3 = _m.next_halfedge_handle( heh ); // store next halfedge handle
385 boundary_split( _m, heh ); // split face
386
387 // split pl->P3 in pl->pr and pr->P3
388 boundary_split( _m, pl_P3, vhr );
389 boundary_split( _m, pl_P3 );
390
391 assert( _m.is_boundary( vhl ) && _m.halfedge_handle(vhl).is_valid() );
392 assert( _m.is_boundary( vhr ) && _m.halfedge_handle(vhr).is_valid() );
393 }
394
395 void boundary_split(MeshType& _m,
396 const typename MeshType::HalfedgeHandle& _heh,
397 const typename MeshType::VertexHandle& _vh)
398 {
399 assert( _m.is_boundary( _m.edge_handle(_heh) ) );
400
401 typename MeshType::HalfedgeHandle
402 heh(_heh),
403 opp_heh( _m.opposite_halfedge_handle(_heh) ),
404 new_heh, opp_new_heh;
405 typename MeshType::VertexHandle to_vh(_m.to_vertex_handle(heh));
406 typename MeshType::HalfedgeHandle t_heh;
407
408 /*
409 * P5
410 * *
411 * /|\
412 * / \
413 * / \
414 * / \
415 * / \
416 * /_ heh new \
417 * *-----\*-----\*\-----*
418 * ^ ^ t_heh
419 * _vh to_vh
420 *
421 * P1 P2 P3 P4
422 */
423 // Re-Setting Handles
424
425 // find halfedge point from P4 to P3
426 for(t_heh = heh;
427 _m.next_halfedge_handle(t_heh) != opp_heh;
428 t_heh = _m.opposite_halfedge_handle(_m.next_halfedge_handle(t_heh)))
429 {}
430
431 assert( _m.is_boundary( t_heh ) );
432
433 new_heh = _m.new_edge( _vh, to_vh );
434 opp_new_heh = _m.opposite_halfedge_handle(new_heh);
435
436 // update halfedge connectivity
437
438 _m.set_next_halfedge_handle(t_heh, opp_new_heh); // P4-P3 -> P3-P2
439 // P2-P3 -> P3-P5
440 _m.set_next_halfedge_handle(new_heh, _m.next_halfedge_handle(heh));
441 _m.set_next_halfedge_handle(heh, new_heh); // P1-P2 -> P2-P3
442 _m.set_next_halfedge_handle(opp_new_heh, opp_heh); // P3-P2 -> P2-P1
443
444 // both opposite halfedges point to same face
445 _m.set_face_handle(opp_new_heh, _m.face_handle(opp_heh));
446
447 // let heh finally point to new inserted vertex
448 _m.set_vertex_handle(heh, _vh);
449
450 // let heh and new_heh point to same face
451 _m.set_face_handle(new_heh, _m.face_handle(heh));
452
453 // let opp_new_heh be the new outgoing halfedge for to_vh
454 // (replaces for opp_heh)
455 _m.set_halfedge_handle( to_vh, opp_new_heh );
456
457 // let opp_heh be the outgoing halfedge for _vh
458 _m.set_halfedge_handle( _vh, opp_heh );
459 }
460
461 void boundary_split( MeshType& _m,
462 const typename MeshType::HalfedgeHandle& _heh)
463 {
464 assert( _m.is_boundary( _m.opposite_halfedge_handle( _heh ) ) );
465
466 typename MeshType::HalfedgeHandle
467 heh(_heh),
468 n_heh(_m.next_halfedge_handle(heh));
469
470 typename MeshType::VertexHandle
471 to_vh(_m.to_vertex_handle(heh));
472
473 typename MeshType::HalfedgeHandle
474 heh2(_m.new_edge(to_vh,
475 _m.to_vertex_handle(_m.next_halfedge_handle(n_heh)))),
476 heh3(_m.opposite_halfedge_handle(heh2));
477
478 typename MeshType::FaceHandle
479 new_fh(_m.new_face()),
480 fh(_m.face_handle(heh));
481
482 // Relink (half)edges
483
484 #define set_next_heh set_next_halfedge_handle
485 #define next_heh next_halfedge_handle
486
487 _m.set_face_handle(heh, new_fh);
488 _m.set_face_handle(heh2, new_fh);
489 _m.set_next_heh(heh2, _m.next_heh(_m.next_heh(n_heh)));
490 _m.set_next_heh(heh, heh2);
491 _m.set_face_handle( _m.next_heh(heh2), new_fh);
492
493 // _m.set_face_handle( _m.next_heh(_m.next_heh(heh2)), new_fh);
494
495 _m.set_next_heh(heh3, n_heh);
496 _m.set_next_heh(_m.next_halfedge_handle(n_heh), heh3);
497 _m.set_face_handle(heh3, fh);
498 // _m.set_face_handle(n_heh, fh);
499
500 _m.set_halfedge_handle( fh, n_heh);
501 _m.set_halfedge_handle(new_fh, heh);
502
503 #undef set_next_halfedge_handle
504 #undef next_halfedge_handle
505
506 }
507
508 private:
509
510 weights_t weights_;
511 OpenMesh::VPropHandleT< typename MeshType::Point > vp_pos_;
512 OpenMesh::EPropHandleT< std::pair< typename MeshType::VertexHandle,
513 typename MeshType::VertexHandle> > ep_nv_;
514 OpenMesh::MPropHandleT< size_t > mp_gen_;
515
516 const real_t _1over3;
517 const real_t _1over27;
518 };
519
520
521 //=============================================================================
522 } // END_NS_UNIFORM
523 } // END_NS_SUBDIVIDER
524 } // END_NS_OPENMESH
525 //=============================================================================
526 #endif // OPENMESH_SUBDIVIDER_UNIFORM_SQRT3T_HH
527 //=============================================================================
OpenMesh::EPropHandleT
Handle representing an edge property.
Definition: Property.hh:515
SubdividerT.hh
OpenMesh::VPropHandleT< typename MeshType::Point >
OpenMesh::MPropHandleT< size_t >
OpenMesh::Subdivider::Uniform::Sqrt3T
Uniform Sqrt3 subdivision algorithm
Definition: Sqrt3T.hh:103
OpenMesh::Subdivider::Uniform::Sqrt3T::name
const char * name() const
Return name of subdivision algorithm.
Definition: Sqrt3T.hh:129
OpenMesh::Subdivider::Uniform::SubdividerT::operator()
bool operator()(MeshType &_m, size_t _n, const bool _update_points=true)
Subdivide the mesh _m _n times.
Definition: SubdividerT.hh:128
OpenMesh::BaseHandle::is_valid
bool is_valid() const
The handle is valid iff the index is not equal to -1.
Definition: Handles.hh:77
OpenMesh
Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...
Definition: MeshItems.hh:64
OpenMesh::Subdivider::Uniform::Sqrt3T::subdivide
bool subdivide(MeshType &_m, size_t _n, const bool _update_points=true)
Subdivide mesh _m _n times.
Definition: Sqrt3T.hh:165
OpenMesh::Subdivider::Uniform::Sqrt3T::init_weights
void init_weights(size_t _max_valence=50)
Pre-compute weights.
Definition: Sqrt3T.hh:133
OpenMesh::Subdivider::Uniform::Sqrt3T::cleanup
bool cleanup(MeshType &_m)
Cleanup mesh after usage, e.g. remove added properties.
Definition: Sqrt3T.hh:156
OpenMesh::Subdivider::Uniform::Sqrt3T::prepare
bool prepare(MeshType &_m)
Prepare mesh, e.g. add properties.
Definition: Sqrt3T.hh:143
OpenMesh::HalfedgeHandle
Handle for a halfedge entity.
Definition: Handles.hh:130
OpenMesh::Subdivider::Uniform::SubdividerT
Abstract base class for uniform subdivision algorithms.
Definition: SubdividerT.hh:94