git-svn-id: http://www.openflipper.org/svnrepo/OpenFlipper/branches/Free@5495 383ad7c9-94d9-4d36-a494-682f7c89f535

Plugin-Info/ACGMakefile

+#==  SYSTEM PART -- DON'T TOUCH  ==============================================
+include $(ACGMAKE)/Config
+#==============================================================================
+
+
+SUBDIRS = $(call find-subdirs)
+
+CXX_LDFLAGS =	$(ACGDEV)/taucs-2.2.new/lib/libtaucs.a \
+        	/usr/lib/libmetis.so \
+                /usr/lib/liblapack.so \
+                /usr/lib/libsuperlu.so 
+
+
+PACKAGES := qt4 glut glew opengl x11 math ACG2 openmesh2 openflipper
+
+PROJ_LIBS =
+
+MODULES := uic4 moc4 cxx
+
+#==  SYSTEM PART -- DON'T TOUCH  ==============================================
+include $(ACGMAKE)/Rules
+#==============================================================================

Plugin-Info/InfoPlugin.cc

+//=============================================================================
+//
+//  CLASS InfoPlugin - IMPLEMENTATION
+//
+//=============================================================================
+
+
+//== INCLUDES =================================================================
+
+#include <QtGui>
+
+#include "InfoPlugin.hh"
+
+#include <iostream>
+#include <ACG/GL/GLState.hh>
+#include <QStringList>
+
+#include <OpenFlipper/BasePlugin/PluginFunctions.hh>
+#include <MeshTools/MeshInfoT.hh>
+#include <OpenFlipper/common/BaseObject.hh>
+#include <ACG/Geometry/Algorithms.hh>
+
+#include <Math_Tools/Math_Tools.hh>
+
+#include <float.h>
+
+//== IMPLEMENTATION ==========================================================
+
+/// initialize the plugin
+void InfoPlugin::pluginsInitialized() {
+
+  //set the slot descriptions
+  setDescriptions();
+  
+  // Initialize hit point
+  hit_point_ = ACG::Vec3d(0.0, 0.0, 0.0);
+}
+
+//-----------------------------------------------------------------------------
+
+template< class MeshT >
+void InfoPlugin::printMeshInfo( MeshT* _mesh , int _id, unsigned int _face ) {
+  
+  if (info_ == 0){
+    info_ = new InfoDialog();
+  }
+  
+  int closest_v_idx = getClosestVertex(_mesh, _face);
+  int closest_e_idx = getClosestEdge(_mesh, _face);
+ 
+  // ID
+  info_->id->setText( "<B>Object ID:</B> " + QString::number(_id) );
+  // Vertices
+  info_->vertices->setText( "<B>Vertices:</B> " + QString::number( _mesh->n_vertices() ) );
+  // Faces
+  info_->faces->setText( "<B>Faces:</B> " + QString::number( _mesh->n_faces() ) );
+  // Edges
+  info_->edges->setText( "<B>Edges:</B> " + QString::number( _mesh->n_edges() ) );
+  // Closest Vertex
+  info_->closestv->setText( "<B>Closest vertex:</B> " + QString::number( closest_v_idx ) );
+  // Closest Edge
+  info_->closeste->setText( "<B>Closest edge:</B> " + QString::number( closest_e_idx ) );
+  // Components
+  info_->components->setText( "<B>Components:</B> " + QString::number(MeshInfo::componentCount(_mesh)));
+  // Boundaries
+  info_->boundaries->setText( "<B>Boundaries:</B> " + QString::number(MeshInfo::boundaryCount(_mesh)) );
+  // Genus
+  int genus = 1 - (_mesh->n_vertices() - _mesh->n_edges() + _mesh->n_faces() ) / 2;
+  info_->genus->setText( "<B>Genus:</B> " + QString::number(genus) );
+
+  info_->table->clear();
+
+  info_->table->setColumnCount ( 3 );
+  info_->table->setRowCount ( 8 );
+
+
+  QStringList headerdata;
+  headerdata << "Min" << "Mean" << "Max";
+
+  info_->table->setHorizontalHeaderLabels(headerdata);
+
+  headerdata.clear();
+  headerdata << "X Coordinate" << "Y Coordinate" << "Z Coordinate" << "Vertex Valence" << "Edge Length" << "Aspect Ratio";
+  headerdata << "Inner Face Angles" << "Dihedral Angles";
+
+  info_->table->setVerticalHeaderLabels(headerdata);
+
+  //set tooltips
+  info_->table->verticalHeaderItem(0)->setToolTip("minimum, maximum and arithmetic mean of the vertex x-coordinates");
+  info_->table->verticalHeaderItem(1)->setToolTip("minimum, maximum and arithmetic mean of the vertex y-coordinates");
+  info_->table->verticalHeaderItem(2)->setToolTip("minimum, maximum and arithmetic mean of the vertex z-coordinates");
+  info_->table->verticalHeaderItem(3)->setToolTip("minimum, maximum and arithmetic mean of the vertex valences");
+  info_->table->verticalHeaderItem(4)->setToolTip("minimum, maximum and arithmetic mean of the edge lengthes");
+  info_->table->verticalHeaderItem(5)->setToolTip("minimum, maximum and arithmetic mean of the aspect ratio."
+                                                  " i.e. the ratio between longest and shortest edge in a triangle.");
+  info_->table->verticalHeaderItem(6)->setToolTip("minimum, maximum and arithmetic mean of the inner angles in a face.");
+  info_->table->verticalHeaderItem(7)->setToolTip("minimum, maximum and arithmetic mean of the dihedral angles"
+                                                  " i.e. the angles between neighboring faces.");
+
+  // Coordinates
+  typename MeshT::VertexIter v_it;
+  typename MeshT::VertexIter v_end = _mesh->vertices_end();
+  
+  float maxX = FLT_MIN;
+  float minX = FLT_MAX;
+  float sumX = 0.0;
+  float maxY = FLT_MIN;
+  float minY = FLT_MAX;
+  float sumY = 0.0;
+  float maxZ = FLT_MIN;
+  float minZ = FLT_MAX;
+  float sumZ = 0.0;
+  int minV = 999;
+  int maxV = 0;
+  int sumV = 0;
+  float maxE = FLT_MIN;
+  float minE = FLT_MAX;
+  float sumE = 0.0;
+  
+  //iterate over all vertices
+  for (v_it = _mesh->vertices_begin(); v_it != v_end; ++v_it){
+    typename MeshT::Point p = _mesh->point( v_it.handle() );
+    if (p[0] < minX) minX = p[0];
+    if (p[0] > maxX) maxX = p[0];
+    sumX += p[0];
+    if (p[1] < minY) minY = p[1];
+    if (p[1] > maxY) maxY = p[1];
+    sumY += p[1];
+    if (p[2] < minZ) minZ = p[2];
+    if (p[2] > maxZ) maxZ = p[2];
+    sumZ += p[2];
+    
+
+    
+    //check valence + edge length
+    int valence = 0;
+    typename MeshT::VertexVertexIter vv_it;
+  
+    for (vv_it=_mesh->vv_iter( v_it ); vv_it; ++vv_it){
+      valence++;
+      
+      typename MeshT::Point p2 = _mesh->point( vv_it.handle() );
+      typename MeshT::Scalar len = (p2 - p).norm();
+
+      if (len < minE) minE = len;
+      if (len > maxE) maxE = len;
+      sumE += len;
+    }
+
+    if (valence < minV) minV = valence;
+    if (valence > maxV) maxV = valence;
+    sumV += valence;
+  }
+  
+  int row=0;
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minX,'f') ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( QString::number( sumX / _mesh->n_vertices(),'f' )) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxX,'f') ) );
+  row++;
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minY,'f') ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( QString::number( sumY / _mesh->n_vertices(),'f' )) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxY,'f') ) );
+  row++;
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minZ,'f') ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( QString::number( sumZ / _mesh->n_vertices(),'f' )) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxZ,'f') ) );
+  row++;
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minV) ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( QString::number( sumV / (float)_mesh->n_vertices(),'f' )) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxV) ) );
+  row++;
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minE,'f') ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( QString::number( sumE / (_mesh->n_edges()*2),'f' )) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxE,'f') ) );
+
+  //get aspect ratio
+
+  typename MeshT::FaceIter f_it;
+  typename MeshT::FaceIter f_end = _mesh->faces_end();
+
+  float maxA = FLT_MIN;
+  float minA = FLT_MAX;
+  float sumA = 0.0;
+  float maxI = FLT_MIN;
+  float minI = FLT_MAX;
+  float sumI = 0.0;
+  float maxD = FLT_MIN;
+  float minD = FLT_MAX;
+  float sumD = 0.0;
+
+  //iterate over all faces
+  for (f_it = _mesh->faces_begin(); f_it != f_end; ++f_it){
+    typename MeshT::ConstFaceVertexIter cfv_it = _mesh->cfv_iter(f_it);
+
+    typename MeshT::Point v0 = _mesh->point( cfv_it.handle() );
+    ++cfv_it;
+    typename MeshT::Point v1 = _mesh->point( cfv_it.handle() );
+    ++cfv_it;
+    typename MeshT::Point v2 = _mesh->point( cfv_it.handle() );
+
+    float aspect = ACG::Geometry::aspectRatio(v0, v1, v2);
+
+    if (aspect < minA) minA = aspect;
+    if (aspect > maxA) maxA = aspect;
+    sumA += aspect;
+
+    //inner triangle angles
+
+    double angle = OpenMesh::rad_to_deg(acos(OpenMesh::sane_aarg( MathTools::sane_normalized(v2 - v0) | MathTools::sane_normalized(v1 - v0) )));
+
+    if (angle < minI) minI = angle;
+    if (angle > maxI) maxI = angle;
+    sumI += angle;
+
+    angle = OpenMesh::rad_to_deg(acos(OpenMesh::sane_aarg( MathTools::sane_normalized(v2 - v1) | MathTools::sane_normalized(v0 - v1) )));
+
+    if (angle < minI) minI = angle;
+    if (angle > maxI) maxI = angle;
+    sumI += angle;
+
+    angle = OpenMesh::rad_to_deg(acos(OpenMesh::sane_aarg( MathTools::sane_normalized(v1 - v2) | MathTools::sane_normalized(v0 - v2) )));
+
+    if (angle < minI) minI = angle;
+    if (angle > maxI) maxI = angle;
+    sumI += angle;
+
+    //compute dihedral angles
+    typename MeshT::FaceFaceIter ff_it;
+    typename MeshT::Normal n1 = _mesh->normal(f_it);
+
+    for (ff_it = _mesh->ff_iter(f_it); ff_it; ++ff_it){
+
+      typename MeshT::Normal n2 = _mesh->normal(ff_it);  
+
+      angle = OpenMesh::rad_to_deg(acos(OpenMesh::sane_aarg( MathTools::sane_normalized(n1) | MathTools::sane_normalized(n2) )));
+
+      if (angle < minD) minD = angle;
+      if (angle > maxD) maxD = angle;
+      sumD += angle;
+
+    }
+  }
+
+  row++;
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minA,'f') ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( QString::number( sumA / _mesh->n_faces(),'f' )) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxA,'f') ) );
+  row++;
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minI,'f') ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( "-" ) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxI,'f') ) );
+  row++;
+  
+  info_->table->setItem(row,0, new QTableWidgetItem( QString::number(minD,'f') ) );
+  info_->table->setItem(row,1, new QTableWidgetItem( QString::number( sumD / (_mesh->n_faces()*3),'f' )) );
+  info_->table->setItem(row,2, new QTableWidgetItem( QString::number(maxD,'f') ) );
+
+  info_->table->resizeColumnsToContents();
+
+
+  info_->table3->clear();
+
+  info_->table3->setColumnCount ( 3 );
+
+
+  headerdata.clear();
+  headerdata << "X" << "Y" << "Z";
+
+  info_->table3->setHorizontalHeaderLabels(headerdata);
+
+  typename MeshT::FaceHandle fh = _mesh->face_handle(_face);
+
+  headerdata.clear();
+  headerdata << "Bounding Box (Minimum)" << "Bounding Box (Maximum)" << "BoundingBox (Size)" << "Center of Gravity";
+  headerdata << "Picked Face Normal (Handle "+ QString::number(fh.idx()) +")";
+
+  typename MeshT::FaceVertexIter fv_it = _mesh->fv_iter(fh);
+  int vertexCount = 0;
+  while( fv_it ){
+    headerdata << "Adjacent Vertex (Handle " + QString::number(fv_it.handle().idx()) + ")";
+    ++fv_it;
+    vertexCount++;
+  }
+
+  info_->table3->setRowCount ( 5 + vertexCount );
+  info_->table3->setVerticalHeaderLabels(headerdata);
+
+  //set tooltips
+  info_->table3->verticalHeaderItem(0)->setToolTip("minimum corner coordinates of the bounding box");
+  info_->table3->verticalHeaderItem(1)->setToolTip("maximum corner coordinates of the bounding box"); 
+  info_->table3->verticalHeaderItem(2)->setToolTip("diagonal size of the bounding box");
+  info_->table3->verticalHeaderItem(3)->setToolTip("coordinates of the center of gravity");
+  info_->table3->verticalHeaderItem(4)->setToolTip("direction of the face normal that was picked");
+  for (int i=0; i < vertexCount; i++)
+    info_->table3->verticalHeaderItem(5 + i)->setToolTip("Coordinates of a vertex which is adjacent to the picked face");
+
+  //Calculate Bounding Box(min,max,cog)
+  ACG::Vec3d min;
+  ACG::Vec3d max;
+  MeshInfo::getBoundingBox(*_mesh, min, max);
+  
+  //Bounding Box Size
+  ACG::Vec3d diff = max-min;
+  
+  row=0;
+  info_->table3->setItem(row,0, new QTableWidgetItem( QString::number(min[0],'f') ) );
+  info_->table3->setItem(row,1, new QTableWidgetItem( QString::number(min[1],'f') ) );
+  info_->table3->setItem(row,2, new QTableWidgetItem( QString::number(min[2],'f') ) );
+  row++;
+  info_->table3->setItem(row,0, new QTableWidgetItem( QString::number(max[0],'f') ) );
+  info_->table3->setItem(row,1, new QTableWidgetItem( QString::number(max[1],'f') ) );
+  info_->table3->setItem(row,2, new QTableWidgetItem( QString::number(max[2],'f') ) );
+  row++;
+  info_->table3->setItem(row,0, new QTableWidgetItem( QString::number(diff[0],'f') ) );
+  info_->table3->setItem(row,1, new QTableWidgetItem( QString::number(diff[1],'f') ) );
+  info_->table3->setItem(row,2, new QTableWidgetItem( QString::number(diff[2],'f') ) );
+
+  //COG  
+  ACG::Vec3d cog = MeshInfo::cog(*_mesh);
+
+  row++;
+  info_->table3->setItem(row,0, new QTableWidgetItem( QString::number(cog[0],'f') ) );
+  info_->table3->setItem(row,1, new QTableWidgetItem( QString::number(cog[1],'f') ) );
+  info_->table3->setItem(row,2, new QTableWidgetItem( QString::number(cog[2],'f') ) );
+
+  row++;
+  info_->table3->setItem(row,0, new QTableWidgetItem( QString::number(cog[0],'f') ) );
+  info_->table3->setItem(row,1, new QTableWidgetItem( QString::number(cog[1],'f') ) );
+  info_->table3->setItem(row,2, new QTableWidgetItem( QString::number(cog[2],'f') ) );  
+
+  //face-normal
+  row++;
+  info_->table3->setItem(row,0, new QTableWidgetItem( QString::number( _mesh->normal(fh)[0],'f' ) ) );
+  info_->table3->setItem(row,1, new QTableWidgetItem( QString::number( _mesh->normal(fh)[1],'f' ) ) );
+  info_->table3->setItem(row,2, new QTableWidgetItem( QString::number( _mesh->normal(fh)[2],'f' ) ) );  
+ 
+  fv_it = _mesh->fv_iter(fh);
+  while( fv_it )
+  {
+    row++;
+    info_->table3->setItem(row,0, new QTableWidgetItem( QString::number( _mesh->point(fv_it)[0],'f' ) ) );
+    info_->table3->setItem(row,1, new QTableWidgetItem( QString::number( _mesh->point(fv_it)[1],'f' ) ) );
+    info_->table3->setItem(row,2, new QTableWidgetItem( QString::number( _mesh->point(fv_it)[2],'f' ) ) );  
+
+    ++fv_it;
+  }
+
+  info_->table3->resizeColumnsToContents();
+
+  info_->setWindowFlags(info_->windowFlags() | Qt::WindowStaysOnTopHint);
+
+  info_->show();
+}
+
+//----------------------------------------------------------------------------------------------
+
+/** \brief Find closest vertex to selection
+ *
+ * @param _mesh Refernce to the mesh
+ * @param _face_idx Index of the face that has been clicked on
+ */
+
+template <class MeshT>
+int InfoPlugin::getClosestVertex(MeshT* _mesh, int _face_idx) {
+    
+    typename MeshT::FaceVertexIter fv_it;
+    
+    int closest_v_idx = 0;
+    double dist = DBL_MAX;
+    double temp_dist = 0.0;
+    
+    ACG::Vec3d vTemp = ACG::Vec3d(0.0, 0.0, 0.0);
+    typename MeshT::Point p;
+    
+    for (fv_it = _mesh->fv_iter(_mesh->face_handle(_face_idx)); fv_it; ++fv_it){
+	
+	p = _mesh->point( fv_it.handle() );
+	
+	// Find closest vertex to selection
+	vTemp = ACG::Vec3d(p[0], p[1], p[2]);
+	temp_dist = (vTemp - hit_point_).length();
+
+	if (temp_dist < dist) {
+	    dist = temp_dist;
+	    closest_v_idx = fv_it.handle().idx();
+	}
+
+    }
+    return closest_v_idx;
+}
+
+//-------------------------------------------------------------------------------------------
+
+/** \brief Find closest edge to selection
+ *
+ * @param _mesh Reference to the mesh
+ * @param _face_idx Index of the face that has been clicked on
+ */
+
+template <class MeshT>
+int InfoPlugin::getClosestEdge(MeshT* _mesh, int _face_idx) {
+    
+    typename MeshT::ConstFaceHalfedgeIter fh_it;
+    typename MeshT::VertexHandle v1, v2;
+    typename MeshT::Point p1, p2;
+    
+    ACG::Vec3d vp1, vp2, click, e, g, h;
+    double x, temp_dist, dist = DBL_MAX;
+    int closest_e_handle = 0;
+    click = ACG::Vec3d(hit_point_[0], hit_point_[1], hit_point_[2]);
+    
+    for (fh_it = _mesh->fh_iter(_mesh->face_handle(_face_idx)); fh_it; ++fh_it){
+	
+	v1 = _mesh->from_vertex_handle(fh_it);
+	v2 = _mesh->to_vertex_handle(fh_it);
+	
+	p1 = _mesh->point(v1);
+	p2 = _mesh->point(v2);
+	
+	vp1 = ACG::Vec3d(p1[0], p1[1], p1[2]);
+	vp2 = ACG::Vec3d(p2[0], p2[1], p2[2]);
+		
+	e = vp2 - vp1;
+	e.normalize();
+	g = click - vp1;
+	x = g | e;
+		
+	temp_dist = (click - (vp1 + x * e)).length();
+			
+	if (temp_dist < dist) {
+	    dist = temp_dist;
+	    closest_e_handle = _mesh->edge_handle(fh_it.handle()).idx();
+	}
+    }
+    
+    return closest_e_handle;
+}	
+	
+//----------------------------------------------------------------------------------------------
+
+void 
+InfoPlugin::
+  slotMouseEventIdentify( QMouseEvent* _event ) {   
+  if (_event->type() == QEvent::MouseButtonPress)
+  {
+    unsigned int   node_idx, target_idx;
+    ACG::Vec3d     hit_point;
+    
+    if (PluginFunctions::scenegraphPick(ACG::SceneGraph::PICK_FACE, _event->pos(),node_idx, target_idx, &hit_point)) {
+      BaseObjectData* object;
+
+//     BaseObject* obj = dynamic_cast< BaseObject* > (object);
+        
+      if ( PluginFunctions::getPickedObject(node_idx, object) ) {
+        
+         emit log( LOGINFO , object->getObjectinfo() );
+	 
+	 // Set hit point
+	 hit_point_ = ACG::Vec3d(hit_point[0], hit_point[1], hit_point[2]);
+        
+         if ( object->picked(node_idx) && object->dataType(DATA_TRIANGLE_MESH) ) 
+            printMeshInfo( PluginFunctions::triMesh(object) , object->id(), target_idx );
+         
+         if ( object->picked(node_idx) && object->dataType(DATA_POLY_MESH) ) 
+            printMeshInfo( PluginFunctions::polyMesh(object) , object->id(), target_idx );
+         
+      } else return;
+    }
+  }
+}
+
+//------------------------------------------------------------------------------
+
+Q_EXPORT_PLUGIN2( InfoPlugin , InfoPlugin );
+
+ 

Plugin-Info/InfoPlugin.hh

+//=============================================================================
+//
+// CLASS InfoPlugin
+//
+// Author:  David Bommes <bommes@cs.rwth-aachen.de>
+//
+// Version: $Revision: 1$
+// Date:    $Author$
+//   $Date: 03-10-2007$
+//
+//
+//=============================================================================
+
+#ifndef INFOPLUGIN_HH
+#define INFOPLUGIN_HH
+
+//== INCLUDES =================================================================
+
+#include <QObject>
+
+#include <OpenFlipper/BasePlugin/BaseInterface.hh>
+#include <OpenFlipper/BasePlugin/MouseInterface.hh>
+
+#include <OpenFlipper/BasePlugin/LoggingInterface.hh>
+#include <OpenFlipper/common/Types.hh>
+#include <ObjectTypes/PolyMesh/PolyMesh.hh>
+#include <ObjectTypes/TriangleMesh/TriangleMesh.hh>
+
+#include "infoDialog.hh"
+
+//== CLASS DEFINITION =========================================================
+
+
+/** Plugin for Info Support
+ */
+class InfoPlugin : public QObject, BaseInterface, MouseInterface, LoggingInterface
+{
+  Q_OBJECT
+      Q_INTERFACES(BaseInterface)
+      Q_INTERFACES(MouseInterface)
+      Q_INTERFACES(LoggingInterface)
+
+
+  signals:
+    // BaseInterface
+    void setSlotDescription(QString     _slotName,   QString     _slotDescription,
+                            QStringList _parameters, QStringList _descriptions);
+
+    // LoggingInterface
+    void log(Logtype _type, QString _message);
+    void log(QString _message);
+
+
+  private slots :
+    // BaseInterface
+    void pluginsInitialized();
+
+    // MouseInterface
+    void slotMouseEventIdentify( QMouseEvent* _event );
+
+  public :
+
+  // default constructor
+      InfoPlugin(): info_(0) {};
+
+  // default destructor
+      ~InfoPlugin() {};
+
+      /// Name of the Plugin
+      QString name(){ return (QString("Info")); };
+
+      /// Description of the Plugin
+      QString description() { return (QString("Providing Information about Objects")); };
+
+  private :
+    InfoDialog* info_;
+
+    template< class MeshT >
+    void printMeshInfo( MeshT* _mesh, int _id, unsigned int _face );
+
+
+//===========================================================================
+/** @name Scripting Functions
+  * @{ */
+//===========================================================================
+
+  public slots:
+
+    /// get total number of vertices for a given object
+    int vertexCount(int _id);
+    /// get total number of edges for a given object
+    int edgeCount(int _id);
+    /// get total number of faces for a given object
+    int faceCount(int _id);
+    /// get the number of boundaries for a given object
+    int boundaryCount(int _id);