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/*
* ***** BEGIN GPL LICENSE BLOCK *****
*
* This program is free software; 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 2
* of the License, or (at your option) any later version.
*
* This program 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software Foundation,
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
* The Original Code is:
* OGF/Graphite: Geometry and Graphics Programming Library + Utilities
* Copyright (C) 2000 Bruno Levy
* Contact: Bruno Levy
* levy@loria.fr
* ISA Project
* LORIA, INRIA Lorraine,
* Campus Scientifique, BP 239
* 54506 VANDOEUVRE LES NANCY CEDEX
* FRANCE
*
* Contributor(s): none yet.
*
* ***** END GPL LICENSE BLOCK *****
*/
#ifndef __MESH_TOOLS_MATH_NORMAL_CYCLE__
#define __MESH_TOOLS_MATH_NORMAL_CYCLE__
/** \file blender/freestyle/intern/geometry/normal_cycle.h
* \ingroup freestyle
* \author Bruno Levy
*/
#include "Geom.h"
#include "../system/FreestyleConfig.h"
namespace Freestyle {
using namespace Geometry;
namespace OGF {
template <class T> inline void ogf_swap(T& x, T& y)
{
T z = x ;
x = y ;
y = z ;
}
//_________________________________________________________
/**
* NormalCycle evaluates the curvature tensor in function
* of a set of dihedral angles and associated vectors.
* Reference:
* Restricted Delaunay Triangulation and Normal Cycle,
* D. Cohen-Steiner and J.M. Morvan,
* SOCG 2003
*/
class LIB_GEOMETRY_EXPORT NormalCycle {
public:
NormalCycle();
void begin();
void end();
/**
* Note: the specified edge vector needs to be pre-clipped by the neighborhood.
*/
void accumulate_dihedral_angle(const Vec3r& edge, real angle, real neigh_area = 1.0);
const Vec3r& eigen_vector(int i) const
{
return axis_[i_[i]];
}
real eigen_value(int i) const
{
return eigen_value_[i_[i]];
}
const Vec3r& N() const
{
return eigen_vector(2);
}
const Vec3r& Kmax() const
{
return eigen_vector(1);
}
const Vec3r& Kmin() const
{
return eigen_vector(0);
}
real n() const
{
return eigen_value(2);
}
real kmax() const
{
return eigen_value(1);
}
real kmin() const
{
return eigen_value(0);
}
private:
/* UNUSED */
// real center_[3];
Vec3r axis_[3];
real eigen_value_[3];
real M_[6];
int i_[3];
};
inline void NormalCycle::accumulate_dihedral_angle(const Vec3r& edge, const double beta, double neigh_area)
{
double s = beta * neigh_area / edge.norm();
M_[0] += s * edge.x() * edge.x();
M_[1] += s * edge.x() * edge.y();
M_[2] += s * edge.y() * edge.y();
M_[3] += s * edge.x() * edge.z();
M_[4] += s * edge.y() * edge.z();
M_[5] += s * edge.z() * edge.z();
}
//_________________________________________________________
} // OGF namespace
} /* namespace Freestyle */
#endif // __MESH_TOOLS_MATH_NORMAL_CYCLE__
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