filters_Primal.h 13 KB
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/*******************************************************************************
* CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps  *
* version 0.1                                                                  *
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* Copyright (C) 2009-2012, 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.unistra.fr/                                           *
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* Contact information: cgogn@unistra.fr                                        *
*                                                                              *
*******************************************************************************/

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#ifndef __MR_FILTERS_PRIMAL__
#define __MR_FILTERS_PRIMAL__
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#include <cmath>
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namespace CGoGN
{

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namespace Multiresolution
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{
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class MRFilter
{
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public:
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	MRFilter() {}
	virtual ~MRFilter() {}
	virtual void operator() () = 0 ;
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} ;

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/*********************************************************************************
 *                           LOOP BASIC FUNCTIONS
 *********************************************************************************/

template <typename PFP>
typename PFP::VEC3 loopOddVertex(typename PFP::MAP& map, const typename PFP::TVEC3& position, Dart d1)
{
	Dart d2 = map.phi2(d1) ;
	Dart d3 = map.phi_1(d1) ;
	Dart d4 = map.phi_1(d2) ;

	typename PFP::VEC3 p1 = position[d1] ;
	typename PFP::VEC3 p2 = position[d2] ;
	typename PFP::VEC3 p3 = position[d3] ;
	typename PFP::VEC3 p4 = position[d4] ;

	p1 *= 3.0 / 8.0 ;
	p2 *= 3.0 / 8.0 ;
	p3 *= 1.0 / 8.0 ;
	p4 *= 1.0 / 8.0 ;

	return p1 + p2 + p3 + p4 ;
}

template <typename PFP>
typename PFP::VEC3 loopEvenVertex(typename PFP::MAP& map, const typename PFP::TVEC3& position, Dart d)
{
	map.incCurrentLevel() ;

	typename PFP::VEC3 np(0) ;
	unsigned int degree = 0 ;
	Traversor2VVaE<typename PFP::MAP> trav(map, d) ;
	for(Dart it = trav.begin(); it != trav.end(); it = trav.next())
	{
		++degree ;
		np += position[it] ;
	}

	map.decCurrentLevel() ;

	float mu = 3.0/8.0 + 1.0/4.0 * cos(2.0 * M_PI / degree) ;
	mu = (5.0/8.0 - (mu * mu)) / degree ;
	np *= 8.0/5.0 * mu ;

	return np ;
}

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/*********************************************************************************
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 *                           ANALYSIS FILTERS
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 *********************************************************************************/

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template <typename PFP>
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class LoopOddAnalysisFilter : public MRFilter
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{
protected:
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	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;
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public:
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	LoopOddAnalysisFilter(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
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	{}
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	void operator() ()
	{
		TraversorE<typename PFP::MAP> trav(m_map) ;
		for (Dart d = trav.begin(); d != trav.end(); d = trav.next())
		{
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			typename PFP::VEC3 p = loopOddVertex<PFP>(m_map, m_position, d) ;

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			m_map.incCurrentLevel() ;
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			Dart oddV = m_map.phi2(d) ;
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			m_position[oddV] -= p ;
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			m_map.decCurrentLevel() ;
		}
	}
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} ;

template <typename PFP>
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class LoopEvenAnalysisFilter : public MRFilter
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{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
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	LoopEvenAnalysisFilter(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
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	{}

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	void operator() ()
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	{
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		TraversorV<typename PFP::MAP> trav(m_map) ;
		for (Dart d = trav.begin(); d != trav.end(); d = trav.next())
		{
			typename PFP::VEC3 p = loopEvenVertex<PFP>(m_map, m_position, d) ;
			m_position[d] -= p ;
		}
	}
} ;

template <typename PFP>
class LoopNormalisationAnalysisFilter : public MRFilter
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	LoopNormalisationAnalysisFilter(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	void operator() ()
	{
		TraversorV<typename PFP::MAP> trav(m_map) ;
		for (Dart d = trav.begin(); d != trav.end(); d = trav.next())
		{
			unsigned int degree = m_map.vertexDegree(d) ;
			float n = 3.0/8.0 + 1.0/4.0 * cos(2.0 * M_PI / degree) ;
			n = 8.0/5.0 * (n * n) ;

			m_position[d] /= n ;
		}
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	}
} ;

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/*********************************************************************************
 *                           SYNTHESIS FILTERS
 *********************************************************************************/

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template <typename PFP>
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class LoopOddSynthesisFilter : public MRFilter
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{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
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	LoopOddSynthesisFilter(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
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	{}

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	void operator() ()
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	{
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		TraversorE<typename PFP::MAP> trav(m_map) ;
		for (Dart d = trav.begin(); d != trav.end(); d = trav.next())
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		{
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			typename PFP::VEC3 p = loopOddVertex<PFP>(m_map, m_position, d) ;
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			m_map.incCurrentLevel() ;
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			Dart oddV = m_map.phi2(d) ;
			m_position[oddV] += p ;
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			m_map.decCurrentLevel() ;
		}
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	}
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} ;
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template <typename PFP>
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class LoopEvenSynthesisFilter : public MRFilter
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{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
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	LoopEvenSynthesisFilter(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
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	{}

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	void operator() ()
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	{
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		TraversorV<typename PFP::MAP> trav(m_map) ;
		for (Dart d = trav.begin(); d != trav.end(); d = trav.next())
		{
			typename PFP::VEC3 p = loopEvenVertex<PFP>(m_map, m_position, d) ;
			m_position[d] += p ;
		}
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	}
} ;
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template <typename PFP>
class LoopNormalisationSynthesisFilter : public MRFilter
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	LoopNormalisationSynthesisFilter(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	void operator() ()
	{
		TraversorV<typename PFP::MAP> trav(m_map) ;
		for (Dart d = trav.begin(); d != trav.end(); d = trav.next())
		{
			unsigned int degree = m_map.vertexDegree(d) ;
			float n = 3.0/8.0 + 1.0/4.0 * cos(2.0 * M_PI / degree) ;
			n = 8.0/5.0 * (n * n) ;

			m_position[d] *= n ;
		}
	}
} ;


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/*********************************************************************************
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 *                           SUBDIVISION FUNCTORS
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 *********************************************************************************/

template <typename PFP>
class PipoVertexVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	PipoVertexVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		m_map.decCurrentLevel() ;
		typename PFP::VEC3 p = m_position[d] ;
		m_map.incCurrentLevel() ;

		m_position[d] = p ;

		return false ;
	}
} ;

template <typename PFP>
class PipoEdgeVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	PipoEdgeVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		Dart d1 = m_map.phi2(d) ;

		m_map.decCurrentLevel() ;
		Dart d2 = m_map.phi2(d1) ;
		typename PFP::VEC3 p = (m_position[d1] + m_position[d2]) / 2.0 ;
		m_map.incCurrentLevel() ;

		m_position[d] = p ;

		return false ;
	}
} ;

template <typename PFP>
class PipoFaceVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	PipoFaceVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		Dart df = m_map.phi1(m_map.phi1(d)) ;

		m_map.decCurrentLevel() ;

		typename PFP::VEC3 p(0) ;
		unsigned int degree = 0 ;
		Traversor2FV<typename PFP::MAP> trav(m_map, df) ;
		for(Dart it = trav.begin(); it != trav.end(); it = trav.next())
		{
			++degree ;
			p += m_position[it] ;
		}
		p /= degree ;

		m_map.incCurrentLevel() ;

		m_position[d] = p ;

		return false ;
	}
} ;

template <typename PFP>
class LoopVertexVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	LoopVertexVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		m_map.decCurrentLevel() ;

		typename PFP::VEC3 np(0) ;
		unsigned int degree = 0 ;
		Traversor2VVaE<typename PFP::MAP> trav(m_map, d) ;
		for(Dart it = trav.begin(); it != trav.end(); it = trav.next())
		{
			++degree ;
			np += m_position[it] ;
		}
		float tmp = 3.0 + 2.0 * cos(2.0 * M_PI / degree) ;
		float beta = (5.0 / 8.0) - ( tmp * tmp / 64.0 ) ;
		np *= beta / degree ;

		typename PFP::VEC3 vp = m_position[d] ;
		vp *= 1.0 - beta ;

		m_map.incCurrentLevel() ;

		m_position[d] = np + vp ;

		return false ;
	}
} ;

template <typename PFP>
class LoopEdgeVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	LoopEdgeVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		Dart d1 = m_map.phi2(d) ;

		m_map.decCurrentLevel() ;

		Dart d2 = m_map.phi2(d1) ;
		Dart d3 = m_map.phi_1(d1) ;
		Dart d4 = m_map.phi_1(d2) ;

		typename PFP::VEC3 p1 = m_position[d1] ;
		typename PFP::VEC3 p2 = m_position[d2] ;
		typename PFP::VEC3 p3 = m_position[d3] ;
		typename PFP::VEC3 p4 = m_position[d4] ;

		p1 *= 3.0 / 8.0 ;
		p2 *= 3.0 / 8.0 ;
		p3 *= 1.0 / 8.0 ;
		p4 *= 1.0 / 8.0 ;

		m_map.incCurrentLevel() ;

		m_position[d] = p1 + p2 + p3 + p4 ;

		return false ;
	}
} ;

template <typename PFP>
class CCVertexVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	CCVertexVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		m_map.decCurrentLevel() ;

		typename PFP::VEC3 np1(0) ;
		typename PFP::VEC3 np2(0) ;
		unsigned int degree1 = 0 ;
		unsigned int degree2 = 0 ;
		Dart it = d ;
		do
		{
			++degree1 ;
			Dart dd = m_map.phi1(it) ;
			np1 += m_position[dd] ;
			Dart end = m_map.phi_1(it) ;
			dd = m_map.phi1(dd) ;
			do
			{
				++degree2 ;
				np2 += m_position[dd] ;
				dd = m_map.phi1(dd) ;
			} while(dd != end) ;
			it = m_map.alpha1(it) ;
		} while(it != d) ;

		float beta = 3.0 / (2.0 * degree1) ;
		float gamma = 1.0 / (4.0 * degree2) ;
		np1 *= beta / degree1 ;
		np2 *= gamma / degree2 ;

		typename PFP::VEC3 vp = m_position[d] ;
		vp *= 1.0 - beta - gamma ;

		m_map.incCurrentLevel() ;

		m_position[d] = np1 + np2 + vp ;

		return false ;
	}
} ;

template <typename PFP>
class CCEdgeVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	CCEdgeVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		Dart d1 = m_map.phi2(d) ;

		m_map.decCurrentLevel() ;

		Dart d2 = m_map.phi2(d1) ;
		Dart d3 = m_map.phi_1(d1) ;
		Dart d4 = m_map.phi_1(d2) ;
		Dart d5 = m_map.phi1(m_map.phi1(d1)) ;
		Dart d6 = m_map.phi1(m_map.phi1(d2)) ;

		typename PFP::VEC3 p1 = m_position[d1] ;
		typename PFP::VEC3 p2 = m_position[d2] ;
		typename PFP::VEC3 p3 = m_position[d3] ;
		typename PFP::VEC3 p4 = m_position[d4] ;
		typename PFP::VEC3 p5 = m_position[d5] ;
		typename PFP::VEC3 p6 = m_position[d6] ;

		p1 *= 3.0 / 8.0 ;
		p2 *= 3.0 / 8.0 ;
		p3 *= 1.0 / 16.0 ;
		p4 *= 1.0 / 16.0 ;
		p5 *= 1.0 / 16.0 ;
		p6 *= 1.0 / 16.0 ;

		m_map.incCurrentLevel() ;

		m_position[d] = p1 + p2 + p3 + p4 + p5 + p6 ;

		return false ;
	}
} ;

template <typename PFP>
class CCFaceVertexFunctor : public FunctorType
{
protected:
	typename PFP::MAP& m_map ;
	typename PFP::TVEC3& m_position ;

public:
	CCFaceVertexFunctor(typename PFP::MAP& m, typename PFP::TVEC3& p) : m_map(m), m_position(p)
	{}

	bool operator() (Dart d)
	{
		Dart df = m_map.phi1(m_map.phi1(d)) ;

		m_map.decCurrentLevel() ;

		typename PFP::VEC3 p(0) ;
		unsigned int degree = 0 ;
		Traversor2FV<typename PFP::MAP> trav(m_map, df) ;
		for(Dart it = trav.begin(); it != trav.end(); it = trav.next())
		{
			++degree ;
			p += m_position[it] ;
		}
		p /= degree ;

		m_map.incCurrentLevel() ;

		m_position[d] = p ;

		return false ;
	}
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} ;

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} // namespace Multiresolution

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} // namespace CGoGN

#endif
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