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PolyLineT.cc
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/*===========================================================================*\
* *
* OpenFlipper *
* Copyright (C) 2001-2009 by Computer Graphics Group, RWTH Aachen *
* www.openflipper.org *
* *
*---------------------------------------------------------------------------*
* This file is part of OpenFlipper. *
* *
* OpenFlipper 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, either version 3 of *
* the License, or (at your option) any later version with the *
* following exceptions: *
* *
* If other files instantiate templates or use macros *
* or inline functions from this file, or you compile this file and *
* link it with other files to produce an executable, this file does *
* not by itself cause the resulting executable to be covered by the *
* GNU Lesser General Public License. This exception does not however *
* invalidate any other reasons why the executable file might be *
* covered by the GNU Lesser General Public License. *
* *
* OpenFlipper 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 LesserGeneral Public *
* License along with OpenFlipper. If not, *
* see <http://www.gnu.org/licenses/>. *
* *
\*===========================================================================*/
/*===========================================================================*\
* *
* $Revision$ *
* $Author$ *
* $Date$ *
* *
\*===========================================================================*/
//=============================================================================
//
// CLASS PolyLineT - IMPLEMENTATION
//
//=============================================================================
#define ACG_POLYLINET_C
//== INCLUDES =================================================================
#include <OpenMesh/Core/Geometry/VectorT.hh>
#include <iostream>
#include <fstream>
#include <map>
#include "PolyLineT.hh"
#include <cfloat>
#include <ACG/Geometry/Algorithms.hh>
#ifndef WIN32
#include <cstdlib>
#endif
#ifdef USE_OPENMP
#include <omp.h>
#endif
//== NAMESPACES ===============================================================
namespace ACG {
//== IMPLEMENTATION ==========================================================
//-----------------------------------------------------------------------------
/// Constructor
template <class PointT>
PolyLineT<PointT>::
PolyLineT( bool _closed )
: closed_(_closed),
ref_count_vnormals_(0),
ref_count_vbinormals_(0),
ref_count_vcolors_(0),
ref_count_vscalars_(0),
ref_count_vselections_(0),
ref_count_vvhandles_(0),
ref_count_vehandles_(0),
ref_count_vfhandles_(0),
ref_count_enormals_(0),
ref_count_ecolors_(0),
ref_count_escalars_(0),
ref_count_eselections_(0)
{
}
//-----------------------------------------------------------------------------
/// Copy Constructor
template <class PointT>
PolyLineT<PointT>::
PolyLineT( const PolyLineT& _line )
{
closed_ = _line.closed_;
//copy points
points_ = _line.points_;
//copy vertex properties
vnormals_ = _line.vnormals_;
vbinormals_ = _line.vbinormals_;
vcolors_ = _line.vcolors_;
vscalars_ = _line.vscalars_;
vselections_ = _line.vselections_;
vvhandles_ = _line.vvhandles_;
vehandles_ = _line.vehandles_;
vfhandles_ = _line.vfhandles_;
//copy edge properties
enormals_ = _line.enormals_;
ecolors_ = _line.ecolors_;
escalars_ = _line.escalars_;
eselections_ = _line.eselections_;
// property reference counter
ref_count_vnormals_ = _line.ref_count_vnormals_;
ref_count_vbinormals_ = _line.ref_count_vbinormals_;
ref_count_vcolors_ = _line.ref_count_vcolors_;
ref_count_vscalars_ = _line.ref_count_vscalars_;
ref_count_vselections_ = _line.ref_count_vselections_;
ref_count_vvhandles_ = _line.ref_count_vvhandles_;
ref_count_vehandles_ = _line.ref_count_vehandles_;
ref_count_vfhandles_ = _line.ref_count_vfhandles_;
ref_count_enormals_ = _line.ref_count_enormals_;
ref_count_ecolors_ = _line.ref_count_ecolors_;
ref_count_escalars_ = _line.ref_count_escalars_;
ref_count_eselections_ = _line.ref_count_eselections_;
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
clear()
{
points_.clear();
// clear propertiy vectors
vnormals_.clear();
vbinormals_.clear();
vcolors_.clear();
vscalars_.clear();
vselections_.clear();
vvhandles_.clear();
vehandles_.clear();
vfhandles_.clear();
enormals_.clear();
ecolors_.clear();
escalars_.clear();
eselections_.clear();
}
//-----------------------------------------------------------------------------
template <class PointT>
size_t
PolyLineT<PointT>::n_edges() const
{
if (n_vertices() == 0)
return 0;
else
return points_.size() - 1 + (unsigned int) closed_;
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
resize( unsigned int _n)
{
if( _n < n_vertices())
{
points_.resize( _n);
// clear propertiy vectors
if( vertex_normals_available() )
vnormals_.resize( _n);
if( vertex_binormals_available() )
vbinormals_.resize( _n);
if( vertex_colors_available())
vcolors_.resize( _n);
if( vertex_scalars_available())
vscalars_.resize( _n);
if( vertex_selections_available())
vselections_.resize( _n);
if( vertex_vhandles_available())
vvhandles_.resize( _n);
if( vertex_ehandles_available())
vehandles_.resize( _n);
if( vertex_fhandles_available())
vfhandles_.resize( _n);
if( edge_normals_available())
enormals_.resize( _n);
if( edge_colors_available())
ecolors_.resize( _n);
if( edge_scalars_available())
escalars_.resize( _n);
if( edge_selections_available())
eselections_.resize( _n);
}
else
{
while( n_vertices() < _n)
add_point( Point());
}
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
add_point(const Point& _p)
{
// add new point
points_.push_back( _p );
// add available properties
if( vertex_normals_available() )
vnormals_.push_back( Point(0,0,0));
if( vertex_binormals_available() )
vbinormals_.push_back( Point(0,0,0));
if( vertex_colors_available())
vcolors_.push_back( Point(1,0,1));
if( vertex_scalars_available())
vscalars_.push_back( 0.0 );
if( vertex_selections_available())
vselections_.push_back( false);
if( vertex_vhandles_available())
vvhandles_.push_back(-1);
if( vertex_ehandles_available())
vehandles_.push_back(-1);
if( vertex_fhandles_available())
vfhandles_.push_back(-1);
if( edge_normals_available())
enormals_.push_back( Point(0,0,0));
if( edge_colors_available())
ecolors_.push_back( Point(1,0,1));
if( edge_scalars_available())
escalars_.push_back( 0.0);
if( edge_selections_available())
eselections_.push_back(false);
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
insert_point(int _idx, const Point& _p)
{
assert(_idx < (int)n_vertices() );
// insert new point
points_.insert(points_.begin()+_idx, _p);
// insert available properties
if( vertex_normals_available() )
vnormals_.insert(vnormals_.begin()+_idx, Point(0,0,0));
if( vertex_binormals_available() )
vbinormals_.insert(vbinormals_.begin()+_idx, Point(0,0,0));
if( vertex_colors_available())
vcolors_.insert(vcolors_.begin()+_idx, Point(1,0,1));
if( vertex_scalars_available())
vscalars_.insert(vscalars_.begin()+_idx, 0.0 );
if( vertex_selections_available())
vselections_.insert(vselections_.begin()+_idx, false);
if( vertex_vhandles_available())
vvhandles_.insert(vvhandles_.begin()+_idx, -1);
if( vertex_ehandles_available())
vehandles_.insert(vehandles_.begin()+_idx, -1);
if( vertex_fhandles_available())
vfhandles_.insert(vfhandles_.begin()+_idx, -1);
if( edge_normals_available())
enormals_.insert(enormals_.begin()+_idx, Point(0,0,0));
if( edge_colors_available())
ecolors_.insert(ecolors_.begin()+_idx, Point(1,0,1));
if( edge_scalars_available())
escalars_.insert(escalars_.begin()+_idx, 0.0);
if( edge_selections_available())
eselections_.insert(eselections_.begin()+_idx, false);
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
delete_point(int _idx)
{
assert(_idx < (int)n_vertices() );
// delete point at given index
points_.erase(points_.begin()+_idx);
// delete available properties
if( vertex_normals_available() )
vnormals_.erase(vnormals_.begin()+_idx);
if( vertex_binormals_available() )
vbinormals_.erase(vbinormals_.begin()+_idx);
if( vertex_colors_available())
vcolors_.erase(vcolors_.begin()+_idx);
if( vertex_scalars_available())
vscalars_.erase(vscalars_.begin()+_idx);
if( vertex_selections_available())
vselections_.erase(vselections_.begin()+_idx);
if( vertex_vhandles_available())
vvhandles_.erase(vvhandles_.begin()+_idx);
if( vertex_ehandles_available())
vehandles_.erase(vehandles_.begin()+_idx);
if( vertex_fhandles_available())
vfhandles_.erase(vfhandles_.begin()+_idx);
if( edge_normals_available())
enormals_.erase(enormals_.begin()+_idx);
if( edge_colors_available())
ecolors_.erase(ecolors_.begin()+_idx);
if( edge_scalars_available())
escalars_.erase(escalars_.begin()+_idx);
if( edge_selections_available())
eselections_.erase(eselections_.begin()+_idx);
}
//-----------------------------------------------------------------------------
template <class PointT>
typename PolyLineT<PointT>::Scalar
PolyLineT<PointT>::
length() const
{
Scalar l = 0;
unsigned int n = points_.size();
if(!closed_)
{
for(unsigned int i=0; i<n-1; ++i)
{
l += (points_[(i+1)]-points_[i]).norm();
}
}
else
{
for(unsigned int i=0; i<n; ++i)
{
l += (points_[(i+1)%n]-points_[i]).norm();
}
}
return l;
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
subdivide(Scalar _largest)
{
// check validity
if (!n_vertices())
return;
unsigned int n_subdivisions = 1;
while (n_subdivisions != 0) {
n_subdivisions = 0;
// add new polyline and add first point
PolyLineT<PointT> new_pl = *this;
new_pl.resize(1);
new_pl.copy_vertex_complete(*this, 0, 0);
// squared maximal length
Scalar l2 = _largest * _largest;
for (unsigned int i = 1; i < points_.size(); ++i) {
if ((new_pl.point(new_pl.n_vertices() - 1) - points_[i]).sqrnorm() > l2) {
Point mid_point = (new_pl.point(new_pl.n_vertices() - 1) + points_[i]) * 0.5;
new_pl.add_point(mid_point);
++n_subdivisions;
}
// copy vertex
new_pl.resize(new_pl.n_vertices() + 1);
new_pl.copy_vertex_complete(*this, i, new_pl.n_vertices() - 1);
}
// last interval for closed polyline
if (closed_) {
if ((new_pl.point(new_pl.n_vertices() - 1) - points_[0]).sqrnorm() > l2) {
Point mid_point = (new_pl.point(new_pl.n_vertices() - 1) + points_[0]) * 0.5;
new_pl.add_point(mid_point);
++n_subdivisions;
}
}
// update points
*this = new_pl;
}
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
collapse(Scalar _smallest)
{
// check validity
if(!n_vertices()) return;
unsigned int n_collapses = 1;
unsigned int n_iter = 0;
while( n_collapses != 0 && n_iter < 5)
{
++n_iter;
n_collapses = 0;
// create new PolyLine (with all properties) and insert first point
PolyLineT<PointT> new_pl = *this;
new_pl.resize(1);
new_pl.copy_vertex_complete( *this, 0, 0);
// squared maximal length
Scalar l2 = _smallest*_smallest;
for(unsigned int i=1; i<points_.size(); ++i)
{
// check whether vertex is selected
bool vertex_selected = false;
if( vertex_selections_available() && vertex_selection(i))
vertex_selected = true;
if( (new_pl.point(new_pl.n_vertices()-1) - points_[i]).sqrnorm() >= l2 ||
vertex_selected ||
(!closed_ && i==points_.size()-1) )
{
// copy next point
new_pl.resize( new_pl.n_vertices()+1);
new_pl.copy_vertex_complete( *this, i, new_pl.n_vertices()-1);
}
else ++n_collapses;
}
// last interval for closed polyline
if( closed_)
{
// check whether vertex is selected
bool vertex_selected = false;
if( vertex_selections_available() && vertex_selection(points_.size()-1))
vertex_selected = true;
if( (new_pl.point(new_pl.n_vertices()-1) - points_[0]).sqrnorm() < l2 && !vertex_selected)
{
new_pl.resize( new_pl.n_vertices()-1);
}
else ++n_collapses;
}
// update points
*this = new_pl;
}
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
smooth_uniform_laplace()
{
// copy point positions
std::vector<Point> points_old( points_ );
int n = points_.size();
int is = 0;
int ie = n;
if( !closed_ )
{
++is;
--ie;
}
if( vertex_selections_available())
{
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for( int i=is; i<ie; ++i)
{
// only smooth not selected vertices
if( !vertex_selection(i))
// laplace stencil 1,-2,1
points_[i] = (points_old[ (i-1+n)%n ] +
points_old[ (i+n )%n ]*2.0 +
points_old[ (i+1 )%n ] )*0.25;
}
}
else
{
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for( int i=is; i<ie; ++i)
{
// laplace stencil 1,-2,1
points_[i] = (points_old[ (i-1+n)%n ] +
points_old[ (i+n )%n ] * 2.0 +
points_old[ (i+1 )%n ] )*0.25;
}
}
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
smooth_uniform_laplace2()
{
// copy point positions
std::vector<Point> points_old( points_ );
int n = points_.size();
int is = 0;
int ie = n;
if( !closed_ )
{
is+=2;
ie-=2;
}
if( vertex_selections_available())
{
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for(int i=is; i<ie; ++i)
{
// only smooth not selected vertices
if( !vertex_selection(i))
// laplace^2 stencil 1,-4,6,-4,1
points_[i] -= (points_old[ (i-2+2*n)%n ] +
points_old[ (i-1+2*n)%n ]*-4.0 +
points_old[ (i )%n ]* 6.0 +
points_old[ (i+1 )%n ]*-4.0 +
points_old[ (i+2 )%n ] )/(16.0*2.0);
}
}
else
{
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for(int i=is; i<ie; ++i)
{
// laplace^2 stencil 1,-4,6,-4,1
points_[i] -= (points_old[ (i-2+2*n)%n ] +
points_old[ (i-1+2*n)%n ]*-4.0 +
points_old[ (i )%n ]* 6.0 +
points_old[ (i+1 )%n ]*-4.0 +
points_old[ (i+2 )%n ] )/(16.0*2.0);
}
}
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
smooth_uniform_laplace3()
{
// copy point positions
std::vector<Point> points_old( points_ );
int n = points_.size();
int is = 0;
int ie = n;
if( !closed_ )
{
is+=3;
ie-=3;
}
if( vertex_selections_available())
{
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for( int i=is; i<ie; ++i)
{
// only smooth not selected vertices
if( !vertex_selection(i))
// laplace^3 stencil 1,-6,15,-20,15,-6,1
points_[i] = (points_old[ (i-3+3*n)%n ] +
points_old[ (i-2+3*n)%n ]*(-6.0) +
points_old[ (i-1+3*n)%n ]*15.0 +
points_old[ (i ) ]*(44.0) +
points_old[ (i+1 )%n ]*15.0 +
points_old[ (i+2 )%n ]*(-6.0) +
points_old[ (i+3 )%n ] )/64.0;
}
}
else
{
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for( int i=is; i<ie; ++i)
{
// laplace^3 stencil 1,-6,15,-20,15,-6,1
points_[i] = (points_old[ (i-3+3*n)%n ] +
points_old[ (i-2+3*n)%n ]*(-6.0) +
points_old[ (i-1+3*n)%n ]*15.0 +
points_old[ (i ) ]*(44.0) +
points_old[ (i+1 )%n ]*15.0 +
points_old[ (i+2 )%n ]*(-6.0) +
points_old[ (i+3 )%n ] )/64.0;
}
}
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
set_to_circle(const PointT _center, const PointT _normal, double _radius, unsigned int _n_samples)
{
this->clear();
this->set_closed(true);
// get local basis vectors
PointT n = _normal; n.normalize();
PointT u = ACG::Geometry::perpendicular(_normal); u*=_radius/u.norm();
PointT v = n % u;
for(unsigned int i=0; i<_n_samples; ++i)
{
double alpha = double(i)*2.0*M_PI/double(_n_samples);
this->add_point(_center + u*cos(alpha) + v*sin(alpha));
}
}
//-----------------------------------------------------------------------------
template <class PointT>
template <class MeshT, class SpatialSearchT>
void
PolyLineT<PointT>::
project_to_mesh( const MeshT& _mesh, SpatialSearchT * _ssearch)
{
typename MeshT::FaceHandle fh;
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for(unsigned int i=0; i<points_.size(); ++i)
{
points_[i] = find_nearest_point( _mesh, points_[i], fh, _ssearch);
}
}
//-----------------------------------------------------------------------------
template <class PointT>
template <class MeshT, class SpatialSearchT>
void
PolyLineT<PointT>::
project_to_mesh( const std::vector<MeshT*> _mesh,
std::vector<SpatialSearchT*>* _ssearch)
{
typename MeshT::FaceHandle fh;
#ifdef USE_OPENMP
#pragma omp parallel for
#endif
for(int i=0; i< (int)points_.size(); ++i)
{
// init d_best
typename MeshT::Scalar d_best = -1;
// best point
Point p_best(0,0,0);
// iterate over all possible meshes
for(unsigned int j=0; j<_mesh.size(); ++j)
{
double d_new(-1);
Point p_new;
if(_ssearch != 0)
p_new = find_nearest_point( *(_mesh[j]), points_[i], fh, ((*_ssearch)[j]), &d_new);
else
p_new = find_nearest_point( *(_mesh[j]), points_[i], fh, (SpatialSearchT*)0, &d_new);
// store best result
if( d_new < d_best || d_best == -1)
{
p_best = p_new;
d_best = d_new;
}
}
if( d_best != -1)
points_[i] = p_best;
}
}
//-----------------------------------------------------------------------------
template <class PointT>
template <class MeshT, class SpatialSearchT>
typename PolyLineT<PointT>::Point
PolyLineT<PointT>::
find_nearest_point( const MeshT& _mesh,
const Point& _point,
typename MeshT::FaceHandle& _fh,
SpatialSearchT * _ssearch,
double* _dbest)
{
typename MeshT::Point p0 = (typename MeshT::Point) _point;
typename MeshT::Point p_best = _mesh.point(_mesh.vertex_handle(0));
typename MeshT::Scalar d_best = (p0 - p_best).sqrnorm();
typename MeshT::FaceHandle fh_best;
if (_ssearch == 0) {
// exhaustive search
typename MeshT::ConstFaceIter cf_it = _mesh.faces_begin();
typename MeshT::ConstFaceIter cf_end = _mesh.faces_end();
for (; cf_it != cf_end; ++cf_it) {
typename MeshT::ConstFaceVertexIter cfv_it = _mesh.cfv_iter(cf_it);
const typename MeshT::Point& pt0 = _mesh.point(cfv_it);
const typename MeshT::Point& pt1 = _mesh.point(++cfv_it);
const typename MeshT::Point& pt2 = _mesh.point(++cfv_it);
typename MeshT::Point ptn;
typename MeshT::Scalar d = Geometry::distPointTriangleSquared(p0, pt0, pt1, pt2, ptn);
if (d < d_best) {
d_best = d;
p_best = ptn;
fh_best = cf_it.handle();
}
}
// return face handle
_fh = fh_best;
// return distance
if (_dbest)
*_dbest = sqrt(d_best);
return (Point) p_best;
} else {
typename MeshT::FaceHandle fh = _ssearch->nearest(p0).handle;
typename MeshT::CFVIter fv_it = _mesh.cfv_iter(fh);
const typename MeshT::Point& pt0 = _mesh.point(fv_it);
const typename MeshT::Point& pt1 = _mesh.point(++fv_it);
const typename MeshT::Point& pt2 = _mesh.point(++fv_it);
// project
d_best = Geometry::distPointTriangleSquared(p0, pt0, pt1, pt2, p_best);
// return facehandle
_fh = fh;
// return distance
if (_dbest)
*_dbest = sqrt(d_best);
return (Point) p_best;
}
}
//-----------------------------------------------------------------------------
template <class PointT>
template <class LineNodeT>
LineNodeT*
PolyLineT<PointT>::
get_line_node(LineNodeT*& _line_node, int _mode)
{
typedef typename LineNodeT::value_type Vec3fL;
if (_mode == 0) {
// LineSegmentsMode
// create LineNode
_line_node = new LineNodeT(LineNodeT::LineSegmentsMode, 0, "PolyLine");
_line_node->set_line_width(5.0);
// _line_node->set_base_color(Vec4f(0,1,0,0));
_line_node->set_base_color(
OpenMesh::Vec4f(0.2 + double(rand()) / double(RAND_MAX) * 0.8, 0.2 + double(rand()) / double(RAND_MAX) * 0.8,
0.2 + double(rand()) / double(RAND_MAX) * 0.8, 1.0));
_line_node->show();
// add line node
for (unsigned int i = 0; i < this->points().size() - 1; ++i) {
_line_node->add_line((Vec3fL) this->points()[i], (Vec3fL) this->points()[i + 1]);
}
// close loop
if (closed_)
if (!this->points().empty()) {
_line_node->add_point((Vec3fL) this->points()[0]);
}
return _line_node;
} else {
// create LineNode
_line_node = new LineNodeT(LineNodeT::PolygonMode, 0, "PolyLine");
_line_node->set_line_width(5.0);
// _line_node->set_base_color(Vec4f(0,1,0,0));
_line_node->set_base_color(
OpenMesh::Vec4f(0.2 + double(rand()) / double(RAND_MAX) * 0.8, 0.2 + double(rand()) / double(RAND_MAX) * 0.8,
0.2 + double(rand()) / double(RAND_MAX) * 0.8, 1.0));
_line_node->show();
// add line node
for (unsigned int i = 0; i < this->points().size(); ++i) {
_line_node->add_point((Vec3fL) this->points()[i]);
}
// close loop
if (closed_)
if (!this->points().empty()) {
_line_node->add_point((Vec3fL) this->points()[0]);
}
return _line_node;
}
}
//-----------------------------------------------------------------------------
template <class PointT>
template <class LineNodeT>
void
PolyLineT<PointT>::
set_line_node(LineNodeT*& _line_node, int _mode)
{
// typedef typename LineNodeT::value_type Vec3fL;
// clear old values
clear();
if (_mode == 0) {
// assume LineSegmentsMode
const typename LineNodeT::PointVector& ln_points = _line_node->points();
for (unsigned int i = 0; i < ln_points.size();) {
if (i != ln_points.size() - 1)
add_point((Point) ln_points[i]);
else {
// last point
if ((ln_points[ln_points.size() - 1] - ln_points[0]).sqrnorm() == 0) {
closed_ = true;
} else {
closed_ = false;
add_point((Point) ln_points[i]);
}
}
// increase counter
if (i == 0)
i += 1;
else
i += 2;
}
} else {
// assume PolygonMode
closed_ = true;
const typename LineNodeT::PointVector& ln_points(_line_node->points());
for (unsigned int i = 0; i < ln_points.size(); ++i) {
add_point((Point) ln_points[i]);
}
}
}
//-----------------------------------------------------------------------------
template <class PointT>
void
PolyLineT<PointT>::
print() const
{
std::cerr << "****** PolyInfo ******\n";
std::cerr << "closed : " << closed_ << std::endl;