area.hpp 6.27 KB
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/*******************************************************************************
 * CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps  *
 * version 0.1                                                                  *
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 * Copyright (C) 2009-2011, IGG Team, LSIIT, University of Strasbourg           *
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 *                                                                              *
 * This library 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 2.1 of the License, or (at your     *
 * option) any later version.                                                   *
 *                                                                              *
 * This library 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 Lesser General Public License     *
 * along with this library; if not, write to the Free Software Foundation,      *
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301 USA.           *
 *                                                                              *
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 * Web site: http://cgogn.u-strasbg.fr/                                         *
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 * Contact information: cgogn@unistra.fr                                        *
 *                                                                              *
 *******************************************************************************/

#include "Geometry/basic.h"
#include "Algo/Geometry/centroid.h"

namespace CGoGN
{

namespace Algo
{

namespace Geometry
{

template <typename PFP>
typename PFP::REAL triangleArea(typename PFP::MAP& map, Dart d, const typename PFP::TVEC3& position)
{
	typename PFP::VEC3 p1 = position[d];
	typename PFP::VEC3 p2 = position[map.phi1(d)];
	typename PFP::VEC3 p3 = position[map.phi_1(d)];

	return Geom::triangleArea(p1, p2, p3) ;
}

template <typename PFP>
typename PFP::REAL convexFaceArea(typename PFP::MAP& map, Dart d, const typename PFP::TVEC3& position)
{
	typedef typename PFP::VEC3 VEC3;

	if(map.isFaceTriangle(d))
		return triangleArea<PFP>(map, d, position) ;
	else
	{
		float area = 0.0f ;
		VEC3 centroid = Algo::Geometry::faceCentroid<PFP>(map, d, position) ;
		Dart it = d ;
		do
		{
			VEC3 p1 = position[it];
			VEC3 p2 = position[map.phi1(it)];
			area += Geom::triangleArea(p1, p2, centroid) ;
			it = map.phi1(it) ;
		} while (it != d) ;
		return area ;
	}
}

template <typename PFP>
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typename PFP::REAL totalArea(typename PFP::MAP& map, const typename PFP::TVEC3& position, const FunctorSelect& select, unsigned int th)
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{
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	typename PFP::REAL area(0) ;
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	DartMarker mark(map,th) ;
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	for(Dart d = map.begin(); d != map.end(); map.next(d))
	{
		if(select(d) && !mark.isMarked(d))
		{
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			mark.markOrbit(FACE, d) ;
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			area += convexFaceArea<PFP>(map, d, position) ;
		}
	}
	return area ;
}

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template <typename PFP>
typename PFP::REAL vertexOneRingArea(typename PFP::MAP& map, Dart d, const typename PFP::TVEC3& position)
{
	typename PFP::REAL area(0) ;
	Dart it = d ;
	do
	{
		area += convexFaceArea<PFP>(map, it, position) ;
		it = map.alpha1(it) ;
	} while(it != d) ;
	return area ;
}

template <typename PFP>
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typename PFP::REAL vertexBarycentricArea(typename PFP::MAP& map, Dart d, const typename PFP::TVEC3& position)
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{
	typename PFP::REAL area(0) ;
	Dart it = d ;
	do
	{
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		area += convexFaceArea<PFP>(map, it, position) / 3 ;
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		it = map.alpha1(it) ;
	} while(it != d) ;
	return area ;
}

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template <typename PFP>
typename PFP::REAL vertexVoronoiArea(typename PFP::MAP& map, Dart d, const typename PFP::TVEC3& position)
{
	typename PFP::REAL area(0) ;
	Dart it = d ;
	do
	{
		if(!isTriangleObtuse<PFP>(map, it, position))
		{
			typename PFP::REAL a = angle<PFP>(map, map.phi1(it), map.phi2(it), position) ;
			typename PFP::REAL b = angle<PFP>(map, map.phi_1(it), map.phi2(map.phi1(it)), position) ;
			area += (vectorOutOfDart<PFP>(map, it, position).norm2() / tan(a) + vectorOutOfDart<PFP>(map, map.phi_1(it), position).norm2() / tan(b)) / 8 ;
		}
		else
		{
			typename PFP::REAL tArea = convexFaceArea<PFP>(map, it, position) ;
			if(angle<PFP>(map, it, map.phi2(map.phi_1(it)), position) > M_PI / 2)
				area += tArea / 2 ;
			else
				area += tArea / 4 ;
		}
		it = map.alpha1(it) ;
	} while(it != d) ;
	return area ;
}

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template <typename PFP>
void computeAreaFaces(typename PFP::MAP& map, const typename PFP::TVEC3& position, typename PFP::TREAL& face_area, const FunctorSelect& select)
{
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	CellMarker marker(map, FACE);
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	for(Dart d = map.begin(); d != map.end(); map.next(d))
	{
		if(select(d) && !marker.isMarked(d))
		{
			marker.mark(d);
			face_area[d] = convexFaceArea<PFP>(map, d, position) ;
		}
	}
}

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template <typename PFP>
void computeOneRingAreaVertices(typename PFP::MAP& map, const typename PFP::TVEC3& position, typename PFP::TREAL& vertex_area, const FunctorSelect& select)
{
	CellMarker marker(map, VERTEX);
	for(Dart d = map.begin(); d != map.end(); map.next(d))
	{
		if(select(d) && !marker.isMarked(d))
		{
			marker.mark(d);
			vertex_area[d] = vertexOneRingArea<PFP>(map, d, position) ;
		}
	}
}

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template <typename PFP>
void computeBarycentricAreaVertices(typename PFP::MAP& map, const typename PFP::TVEC3& position, typename PFP::TREAL& vertex_area, const FunctorSelect& select)
{
	CellMarker marker(map, VERTEX);
	for(Dart d = map.begin(); d != map.end(); map.next(d))
	{
		if(select(d) && !marker.isMarked(d))
		{
			marker.mark(d);
			vertex_area[d] = vertexBarycentricArea<PFP>(map, d, position) ;
		}
	}
}

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template <typename PFP>
void computeVoronoiAreaVertices(typename PFP::MAP& map, const typename PFP::TVEC3& position, typename PFP::TREAL& vertex_area, const FunctorSelect& select)
{
	CellMarker marker(map, VERTEX);
	for(Dart d = map.begin(); d != map.end(); map.next(d))
	{
		if(select(d) && !marker.isMarked(d))
		{
			marker.mark(d);
			vertex_area[d] = vertexVoronoiArea<PFP>(map, d, position) ;
		}
	}
}

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} // namespace Geometry

} // namespace Algo

} // namespace CGoGN