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// Copyright (c) 2005 INRIA (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you may redistribute it under
// the terms of the Q Public License version 1.0.
// See the file LICENSE.QPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.2-branch/Surface_mesh_parameterization/include/CGAL/Circular_border_parameterizer_3.h $
// $Id: Circular_border_parameterizer_3.h 29301 2006-03-09 17:15:04Z lsaboret $
//
//
// Author(s) : Laurent Saboret, Pierre Alliez, Bruno Levy
#ifndef CGAL_CIRCULARBORDERPARAMETERIZER_3_H
#define CGAL_CIRCULARBORDERPARAMETERIZER_3_H
#include <CGAL/surface_mesh_parameterization_assertions.h>
#include <CGAL/Parameterizer_traits_3.h>
CGAL_BEGIN_NAMESPACE
//
// Class Circular_border_parameterizer_3
//
/// This is the base class of strategies that parameterize the border
/// of a 3D surface onto a circle.
/// Circular_border_parameterizer_3 is a pure virtual class, thus
/// cannot be instantiated.
/// It implements most of the algorithm. Subclasses just
/// have to implement compute_edge_length() to compute a segment's length.
///
/// Implementation note:
/// To simplify the implementation, BorderParameterizer_3 models know only the
/// ParameterizationMesh_3 class. They do not know the parameterization algorithm
/// requirements or the kind of sparse linear system used.
///
/// Concept: Model of the BorderParameterizer_3 concept (although you cannot instantiate this class).
///
/// Design Pattern:
/// BorderParameterizer_3 models are Strategies [GHJV95]: they implement
/// a strategy of border parameterization for models of ParameterizationMesh_3.
template<class ParameterizationMesh_3> //< 3D surface
class Circular_border_parameterizer_3
{
// Public types
public:
/// Export ParameterizationMesh_3 template parameter
typedef ParameterizationMesh_3 Adaptor;
// Private types
private:
// Mesh_Adaptor_3 subtypes:
typedef typename Adaptor::NT NT;
typedef typename Adaptor::Point_2 Point_2;
typedef typename Adaptor::Point_3 Point_3;
typedef typename Adaptor::Vector_2 Vector_2;
typedef typename Adaptor::Vector_3 Vector_3;
typedef typename Adaptor::Facet Facet;
typedef typename Adaptor::Facet_handle Facet_handle;
typedef typename Adaptor::Facet_const_handle
Facet_const_handle;
typedef typename Adaptor::Facet_iterator Facet_iterator;
typedef typename Adaptor::Facet_const_iterator
Facet_const_iterator;
typedef typename Adaptor::Vertex Vertex;
typedef typename Adaptor::Vertex_handle Vertex_handle;
typedef typename Adaptor::Vertex_const_handle
Vertex_const_handle;
typedef typename Adaptor::Vertex_iterator Vertex_iterator;
typedef typename Adaptor::Vertex_const_iterator
Vertex_const_iterator;
typedef typename Adaptor::Border_vertex_iterator
Border_vertex_iterator;
typedef typename Adaptor::Border_vertex_const_iterator
Border_vertex_const_iterator;
typedef typename Adaptor::Vertex_around_facet_circulator
Vertex_around_facet_circulator;
typedef typename Adaptor::Vertex_around_facet_const_circulator
Vertex_around_facet_const_circulator;
typedef typename Adaptor::Vertex_around_vertex_circulator
Vertex_around_vertex_circulator;
typedef typename Adaptor::Vertex_around_vertex_const_circulator
Vertex_around_vertex_const_circulator;
// Public operations
public:
/// Destructor of base class should be virtual.
virtual ~Circular_border_parameterizer_3() {}
// Default constructor, copy constructor and operator =() are fine
/// Assign to mesh's border vertices a 2D position (ie a (u,v) pair)
/// on border's shape. Mark them as "parameterized".
typename Parameterizer_traits_3<Adaptor>::Error_code
parameterize_border(Adaptor& mesh);
/// Indicate if border's shape is convex.
bool is_border_convex () { return true; }
// Protected operations
protected:
/// Compute the length of an edge.
virtual double compute_edge_length(const Adaptor& mesh,
Vertex_const_handle source,
Vertex_const_handle target) = 0;
// Private operations
private:
/// Compute the total length of the border
double compute_border_length(const Adaptor& mesh);
};
/// Compute the total length of the border
template<class Adaptor>
inline
double Circular_border_parameterizer_3<Adaptor>::compute_border_length(
const Adaptor& mesh)
{
double len = 0.0;
for(Border_vertex_const_iterator it = mesh.mesh_main_border_vertices_begin();
it != mesh.mesh_main_border_vertices_end();
it++)
{
CGAL_surface_mesh_parameterization_assertion(mesh.is_vertex_on_main_border(it));
// Get next iterator (looping)
Border_vertex_const_iterator next = it;
next++;
if(next == mesh.mesh_main_border_vertices_end())
next = mesh.mesh_main_border_vertices_begin();
// Add 'length' of it -> next vector to 'len'
len += compute_edge_length(mesh, it, next);
}
return len;
}
/// Assign to mesh's border vertices a 2D position (ie a (u,v) pair)
/// on border's shape. Mark them as "parameterized".
template<class Adaptor>
inline
typename Parameterizer_traits_3<Adaptor>::Error_code
Circular_border_parameterizer_3<Adaptor>::parameterize_border(Adaptor& mesh)
{
#ifdef DEBUG_TRACE
std::cerr << " map on a circle" << std::endl;
#endif
// Nothing to do if no border
if (mesh.mesh_main_border_vertices_begin() == mesh.mesh_main_border_vertices_end())
return Parameterizer_traits_3<Adaptor>::ERROR_INVALID_BORDER;
// Compute the total border length
double total_len = compute_border_length(mesh);
if (total_len == 0)
return Parameterizer_traits_3<Adaptor>::ERROR_INVALID_BORDER;
const double PI = 3.14159265359;
const double tmp = 2*PI/total_len;
double len = 0.0; // current position on circle in [0, total_len]
for(Border_vertex_iterator it = mesh.mesh_main_border_vertices_begin();
it != mesh.mesh_main_border_vertices_end();
it++)
{
CGAL_surface_mesh_parameterization_assertion(mesh.is_vertex_on_main_border(it));
double angle = len*tmp; // current position on the circle in radians
// map vertex on unit circle
Point_2 uv;
uv = Point_2(0.5+0.5*CGAL_CLIB_STD::cos(-angle),0.5+0.5*CGAL_CLIB_STD::sin(-angle));
mesh.set_vertex_uv(it, uv);
// Mark vertex as "parameterized"
mesh.set_vertex_parameterized(it, true);
// Get next iterator (looping)
Border_vertex_iterator next = it;
next++;
if(next == mesh.mesh_main_border_vertices_end())
next = mesh.mesh_main_border_vertices_begin();
// Add 'length' of it -> next vector to 'len'
len += compute_edge_length(mesh, it, next);
}
return Parameterizer_traits_3<Adaptor>::OK;
}
//
// Class Circular_border_uniform_parameterizer_3
//
/// This class parameterizes the border of a 3D surface onto a circle
/// in a uniform manner: points are equally spaced.
/// Circular_border_parameterizer_3 implements most of the border parameterization
/// algorithm. This class implements only compute_edge_length() to compute a
/// segment's length.
///
/// Concept: Model of the BorderParameterizer_3 concept.
///
/// Design Pattern:
/// BorderParameterizer_3 models are Strategies [GHJV95]: they implement
/// a strategy of border parameterization for models of ParameterizationMesh_3
template<class ParameterizationMesh_3> //< 3D surface
class Circular_border_uniform_parameterizer_3
: public Circular_border_parameterizer_3<ParameterizationMesh_3>
{
// Public types
public:
// We have to repeat the types exported by superclass
/// @cond SKIP_IN_MANUAL
typedef ParameterizationMesh_3 Adaptor;
/// @endcond
// Private types
private:
// Mesh_Adaptor_3 subtypes:
typedef typename Adaptor::NT NT;
typedef typename Adaptor::Point_2 Point_2;
typedef typename Adaptor::Point_3 Point_3;
typedef typename Adaptor::Vector_2 Vector_2;
typedef typename Adaptor::Vector_3 Vector_3;
typedef typename Adaptor::Facet Facet;
typedef typename Adaptor::Facet_handle Facet_handle;
typedef typename Adaptor::Facet_const_handle
Facet_const_handle;
typedef typename Adaptor::Facet_iterator Facet_iterator;
typedef typename Adaptor::Facet_const_iterator
Facet_const_iterator;
typedef typename Adaptor::Vertex Vertex;
typedef typename Adaptor::Vertex_handle Vertex_handle;
typedef typename Adaptor::Vertex_const_handle
Vertex_const_handle;
typedef typename Adaptor::Vertex_iterator Vertex_iterator;
typedef typename Adaptor::Vertex_const_iterator
Vertex_const_iterator;
typedef typename Adaptor::Border_vertex_iterator
Border_vertex_iterator;
typedef typename Adaptor::Border_vertex_const_iterator
Border_vertex_const_iterator;
typedef typename Adaptor::Vertex_around_facet_circulator
Vertex_around_facet_circulator;
typedef typename Adaptor::Vertex_around_facet_const_circulator
Vertex_around_facet_const_circulator;
typedef typename Adaptor::Vertex_around_vertex_circulator
Vertex_around_vertex_circulator;
typedef typename Adaptor::Vertex_around_vertex_const_circulator
Vertex_around_vertex_const_circulator;
// Public operations
public:
// Default constructor, copy constructor and operator =() are fine
// Protected operations
protected:
/// Compute the length of an edge.
virtual double compute_edge_length(const Adaptor& mesh,
Vertex_const_handle source,
Vertex_const_handle target)
{
/// Uniform border parameterization: points are equally spaced.
return 1;
}
};
//
// Class Circular_border_arc_length_parameterizer_3
//
/// This class parameterizes the border of a 3D surface onto a circle,
/// with an arc-length parameterization: (u,v) values are
/// proportional to the length of border edges.
/// Circular_border_parameterizer_3 implements most of the border parameterization
/// algorithm. This class implements only compute_edge_length() to compute a
/// segment's length.
///
/// Concept: Model of the BorderParameterizer_3 concept.
///
/// Design Pattern:
/// BorderParameterizer_3 models are Strategies [GHJV95]: they implement
/// a strategy of border parameterization for models of ParameterizationMesh_3
template<class ParameterizationMesh_3> //< 3D surface
class Circular_border_arc_length_parameterizer_3
: public Circular_border_parameterizer_3<ParameterizationMesh_3>
{
// Public types
public:
// We have to repeat the types exported by superclass
/// @cond SKIP_IN_MANUAL
typedef ParameterizationMesh_3 Adaptor;
/// @endcond
// Private types
private:
// Mesh_Adaptor_3 subtypes:
typedef typename Adaptor::NT NT;
typedef typename Adaptor::Point_2 Point_2;
typedef typename Adaptor::Point_3 Point_3;
typedef typename Adaptor::Vector_2 Vector_2;
typedef typename Adaptor::Vector_3 Vector_3;
typedef typename Adaptor::Facet Facet;
typedef typename Adaptor::Facet_handle Facet_handle;
typedef typename Adaptor::Facet_const_handle
Facet_const_handle;
typedef typename Adaptor::Facet_iterator Facet_iterator;
typedef typename Adaptor::Facet_const_iterator
Facet_const_iterator;
typedef typename Adaptor::Vertex Vertex;
typedef typename Adaptor::Vertex_handle Vertex_handle;
typedef typename Adaptor::Vertex_const_handle
Vertex_const_handle;
typedef typename Adaptor::Vertex_iterator Vertex_iterator;
typedef typename Adaptor::Vertex_const_iterator
Vertex_const_iterator;
typedef typename Adaptor::Border_vertex_iterator
Border_vertex_iterator;
typedef typename Adaptor::Border_vertex_const_iterator
Border_vertex_const_iterator;
typedef typename Adaptor::Vertex_around_facet_circulator
Vertex_around_facet_circulator;
typedef typename Adaptor::Vertex_around_facet_const_circulator
Vertex_around_facet_const_circulator;
typedef typename Adaptor::Vertex_around_vertex_circulator
Vertex_around_vertex_circulator;
typedef typename Adaptor::Vertex_around_vertex_const_circulator
Vertex_around_vertex_const_circulator;
// Public operations
public:
// Default constructor, copy constructor and operator =() are fine
// Protected operations
protected:
/// Compute the length of an edge.
virtual double compute_edge_length(const Adaptor& mesh,
Vertex_const_handle source,
Vertex_const_handle target)
{
/// Arc-length border parameterization: (u,v) values are
/// proportional to the length of border edges.
Vector_3 v = mesh.get_vertex_position(target)
- mesh.get_vertex_position(source);
return std::sqrt(v*v);
}
};
CGAL_END_NAMESPACE
#endif //CGAL_CIRCULARBORDERPARAMETERIZER_3_H
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