cgal/Surface_mesher/include/CGAL/Implicit_surface_3.h

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// Copyright (c) 2006-2007 INRIA Sophia-Antipolis (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
// You can redistribute it and/or modify it under the terms of the GNU
// General Public License as published by the Free Software Foundation,
// either version 3 of the License, or (at your option) any later version.
//
// 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.
//
// $URL$
// $Id$
//
// Author(s) : Laurent RINEAU
#ifndef CGAL_IMPLICIT_SURFACE_3_H
#define CGAL_IMPLICIT_SURFACE_3_H
#include <CGAL/make_surface_mesh.h>
#include <CGAL/Surface_mesher/Implicit_surface_oracle_3.h>
#include <functional>
namespace CGAL {
template<
typename GT,
typename Function_
>
class Implicit_surface_3
{
public:
typedef GT Geom_traits;
typedef typename Geom_traits::Sphere_3 Sphere_3;
typedef typename Geom_traits::FT FT;
typedef typename Geom_traits::Point_3 Point;
typedef Function_ Function;
typedef Implicit_surface_3<Geom_traits, Function> Self;
Function& function() { return func; }
typedef Surface_mesher::Implicit_surface_oracle_3<
Geom_traits,
Self> Surface_mesher_traits_3;
Implicit_surface_3(Function f,
const Sphere_3 bounding_sphere,
const FT error_bound = FT(1e-3),
Geom_traits gt = Geom_traits())
: func(f),
sphere(bounding_sphere),
gt(gt)
{
squared_error = error_bound * error_bound;
squared_error = squared_error *
gt.compute_squared_radius_3_object()(bounding_sphere);
}
FT operator()(Point p) const
{
return func(p);
}
const FT& squared_error_bound() const
{
return squared_error;
}
const Sphere_3& bounding_sphere() const
{
return sphere;
}
const Sphere_3& bounding_sphere_squared_radius() const
{
return gt.compute_squared_radius_3_object()(sphere);
}
template <typename Vertex_handle>
bool vertices_not_on_same_surface_patch(const Vertex_handle& v1,
const Vertex_handle& v2,
const Vertex_handle& v3) const
{
return
v1->point().element_index() != v2->point().element_index() ||
v1->point().element_index() != v3->point().element_index();
}
const Function& function() const
{
return func;
}
private:
Function func;
Sphere_3 sphere;
FT squared_error;
Geom_traits gt;
}; // end Implicit_surface_3
template <typename GT, typename Function>
Implicit_surface_3<GT, Function>
make_implicit_surface_3(GT, Function f,
typename GT::Sphere_3 sphere,
typename GT::FT error_bound)
{
typedef Implicit_surface_3<GT, Function> surface;
return surface(f, sphere, error_bound);
}
// template <typename GT, typename Function>
// struct Surface_mesh_traits_generator_3<Implicit_surface_3<GT, Function> >
// {
// typedef Implicit_surface_3<GT, Function> Surface_type;
// typedef typename Surface_mesher::Implicit_surface_oracle_3<GT,
// Surface_type> Type;
// typedef Type type; // Boost meta-programming compatibility
// };
// non documented class
template <typename FT, typename Point>
class Implicit_function_wrapper : public std::unary_function<Point, FT>
{
typedef FT (*Implicit_function)(FT, FT, FT);
Implicit_function function;
public:
Implicit_function_wrapper(Implicit_function f) : function(f) {}
FT operator()(Point p) const
{
return function(p.x(), p.y(), p.z());
}
};
} // end namespace CGAL
#endif // CGAL_IMPLICIT_SURFACE_3_H