First checkin for OpenMesh 2.0

git-svn-id: http://www.openmesh.org/svnrepo/OpenMesh/trunk@2 fdac6126-5c0c-442c-9429-916003d36597

Core/Geometry/LoopSchemeMaskT.hh

@@ -0,0 +1,172 @@
+/*===========================================================================*\
+ *                                                                           *
+ *                               OpenMesh                                    *
+ *        Copyright (C) 2003 by Computer Graphics Group, RWTH Aachen         *
+ *                           www.openmesh.org                                *
+ *                                                                           *
+ *---------------------------------------------------------------------------*
+ *                                                                           *
+ *                                License                                    *
+ *                                                                           *
+ *  This library is free software; you can redistribute it and/or modify it  *
+ *  under the terms of the GNU Lesser General Public License as published    *
+ *  by the Free Software Foundation, version 2.1.                            *
+ *                                                                           *
+ *  This library is distributed in the hope that it will be useful, but      *
+ *  WITHOUT ANY WARRANTY; without even the implied warranty of               *
+ *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU        *
+ *  Lesser General Public License for more details.                          *
+ *                                                                           *
+ *  You should have received a copy of the GNU Lesser General Public         *
+ *  License along with this library; if not, write to the Free Software      *
+ *  Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.                *
+ *                                                                           *
+\*===========================================================================*/
+
+#ifndef LOOPSCHEMEMASKT_HH
+#define LOOPSCHEMEMASKT_HH
+
+#include <math.h>
+#include <vector>
+
+#include <OpenMesh/Core/System/config.h>
+#include <OpenMesh/Core/Utils/SingletonT.hh>
+
+namespace OpenMesh
+{
+
+/** implements cache for the weights of the original Loop scheme
+    supported:
+      - vertex projection rule on the next level
+      - vertex projection rule on the limit surface
+      - vertex projection rule on the k-th (level) step (Barthe, Kobbelt'2003)
+      - vertex tangents on the limit surface
+*/
+
+template <class T_, unsigned int cache_size_ = 100>
+class LoopSchemeMaskT
+{
+public:
+  enum { cache_size = cache_size_ };
+  typedef T_                                Scalar;
+
+protected:
+
+  Scalar                                    proj_weights_[cache_size];
+  Scalar                                    limit_weights_[cache_size];
+  Scalar                                    step_weights_[cache_size];
+  std::vector<Scalar>                       tang0_weights_[cache_size];
+  std::vector<Scalar>                       tang1_weights_[cache_size];
+
+protected:
+
+  inline static Scalar                      compute_proj_weight(uint _valence)
+  {
+    //return pow(3.0 / 2.0 + cos(2.0 * M_PI / _valence), 2) / 2.0 - 1.0;
+    double denom = (3.0 + 2.0*cos(2.0*M_PI/(double)_valence));
+    double weight = (64.0*_valence)/(40.0 - denom*denom) - _valence;
+    return (Scalar) weight;
+  }
+
+  inline static Scalar                      compute_limit_weight(uint _valence)
+  {
+    double proj_weight = compute_proj_weight(_valence);
+    proj_weight = proj_weight/(proj_weight + _valence);//normalize the proj_weight
+    double weight = (3.0/8.0)/(1.0 - proj_weight + (3.0/8.0));
+    return (Scalar)weight;
+  }
+
+  inline static Scalar                      compute_step_weight(uint _valence)
+  {
+    double proj_weight = compute_proj_weight(_valence);
+    proj_weight = proj_weight/(proj_weight + _valence);//normalize the proj_weight
+    double weight = proj_weight - (3.0/8.0);
+    return (Scalar)weight;
+  }
+
+  inline static Scalar                      compute_tang0_weight(uint _valence, uint _ver_id)
+  {
+    return (Scalar)cos(2.0*M_PI*(double)_ver_id/(double)_valence);
+  }
+
+  inline static Scalar                      compute_tang1_weight(uint _valence, uint _ver_id)
+  {
+    return (Scalar)sin(2.0*M_PI*(double)_ver_id/(double)_valence);
+  }
+
+  void                                      cache_weights()
+  {
+    proj_weights_[0] = 1;
+    for (uint k = 1; k < cache_size; ++k)
+    {
+      proj_weights_[k] = compute_proj_weight(k);
+      limit_weights_[k] = compute_limit_weight(k);
+      step_weights_[k] = compute_step_weight(k);
+      tang0_weights_[k].resize(k);
+      tang1_weights_[k].resize(k);
+      for (uint i = 0; i < k; ++i)
+      {
+        tang0_weights_[k][i] = compute_tang0_weight(k,i);
+        tang1_weights_[k][i] = compute_tang1_weight(k,i);
+      }
+    }
+  }
+
+public:
+
+  LoopSchemeMaskT()
+  {
+    cache_weights();
+  }
+
+  inline Scalar                             proj_weight(uint _valence) const
+  {
+    assert(_valence < cache_size );
+    return proj_weights_[_valence];
+  }
+
+  inline Scalar                             limit_weight(uint _valence) const
+  {
+    assert(_valence < cache_size );
+    return limit_weights_[_valence];
+  }
+
+  inline Scalar                             step_weight(uint _valence, uint _step) const
+  {
+    assert(_valence < cache_size);
+    return pow(step_weights_[_valence], (int)_step);//can be precomputed
+  }
+
+  inline Scalar                             tang0_weight(uint _valence, uint _ver_id) const
+  {
+    assert(_valence < cache_size );
+    assert(_ver_id < _valence);
+    return tang0_weights_[_valence][_ver_id];
+  }
+
+  inline Scalar                             tang1_weight(uint _valence, uint _ver_id) const
+  {
+    assert(_valence < cache_size );
+    assert(_ver_id < _valence);
+    return tang1_weights_[_valence][_ver_id];
+  }
+
+  void                                      dump(uint _max_valency = cache_size - 1) const
+  {
+    assert(_max_valency <= cache_size - 1);
+    //CConsole::printf("(k : pw_k, lw_k): ");
+    for (uint i = 0;  i <= _max_valency; ++i)
+    {
+      //CConsole::stream() << "(" << i << " : " << proj_weight(i) << ", " << limit_weight(i) << ", " << step_weight(i,1) << "), ";
+    }
+    //CConsole::printf("\n");
+  }
+};
+
+typedef LoopSchemeMaskT<double, 100>        LoopSchemeMaskDouble;
+typedef SingletonT<LoopSchemeMaskDouble>    LoopSchemeMaskDoubleSingleton;
+
+};//namespace OpenMesh
+
+#endif//LOOPSCHEMEMASKT_HH
+