void smoothMesh( Polyhedron & poly, unsigned int nTimes )
{
int nV = poly.size_of_vertices();
const double lambda = SMOOTHING_LAMBDA;
const double mu = SMOOTHING_MU;
vector< Point3 > shrink ( nV );
vector< Point3 > expand ( nV );
for ( unsigned int k = 0; k < nTimes; ++k ) {
// copy the vertex coordinates
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
shrink [ vi->id() ] = vi->point();
}
// shrinking stage
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
moveVertex( vi, shrink[ vi->id() ], lambda );
}
// copy back the vertex coordinates
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
vi->point() = shrink[ vi->id() ];
expand[ vi->id() ] = shrink[ vi->id() ];
}
// expanding stage
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
moveVertex( vi, expand[ vi->id() ], mu );
}
// copy back the vertex coordinates
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
vi->point() = expand[ vi->id() ];
}
}
}
//------------------------------------------------------------------------------
// Initialize the dual center
//------------------------------------------------------------------------------
void initAttrs( Polyhedron & poly )
{
// assign IDs to vertices
int vID = 0;
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
vi->id() = vID++;
vi->label() = DEFAULT_LABEL;
vi->nCuts() = 0;
}
cerr << "Total number of vertices = " << vID << endl;
// assign IDs to faces: the dual vertex and the dual coordinates-the center coordinates
int fID = 0;
for ( Facet_iterator fi = poly.facets_begin(); fi != poly.facets_end(); ++fi ) {
fi->id() = fID++;
// fi->label() = DEFAULT_LABEL;
fi->piece() = NO_INDEX;
Vector3 sum( 0.0, 0.0, 0.0 );
Halfedge_facet_circulator hfc = fi->facet_begin();
do {
sum = sum + ( hfc->vertex()->point() - CGAL::ORIGIN );
} while ( ++hfc != fi->facet_begin() );
sum = sum / ( double )CGAL::circulator_size( hfc );
fi->center() = CGAL::ORIGIN + sum;
// cerr << " Barycenter No. " << fid-1 << " : " << bary[ fid-1 ] << endl;
}
cerr << "Total number of facets = " << fID << endl;
// initialize the halfedge IDs
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->id() = NO_INDEX;
}
// assign the same IDs to the identical/ opposite halfedges
int eID = 0;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
if ( hi->id() == NO_INDEX ) {
assert( hi->opposite()->id() == NO_INDEX );
hi->id() = eID;
hi->opposite()->id() = eID;
eID++;
hi->label() = hi->opposite()->label() = DEFAULT_LABEL;
hi->match() = hi->opposite()->match() = DEFAULT_LABEL;
hi->cycle() = hi->opposite()->cycle() = NO_INDEX;
hi->weight() = hi->opposite()->weight() = 0.0;
hi->connect() = hi->opposite()->connect() = true;
hi->visit() = hi->opposite()->visit() = false;
// We individually handle hi->fixed
}
}
cerr << "Total number of edges = " << eID << endl;
}
