PoissonRecon/Src/FEMTree.WeightedSamples.inl

/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.

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are permitted provided that the following conditions are met:

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the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution. 

Neither the name of the Johns Hopkins University nor the names of its contributors
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*/

template< class Real , unsigned int DataDegree , unsigned int ... DataDegrees > typename std::enable_if< sizeof ... ( DataDegrees )==0 >::type __SetBSplineComponentValues( const Real* position , const Real* start , Real width , double* values , unsigned int stride )
{
	Polynomial< DataDegree >::BSplineComponentValues( ( position[0] - start[0] ) / width , values );
}
template< class Real , unsigned int DataDegree , unsigned int ... DataDegrees > typename std::enable_if< sizeof ... ( DataDegrees )!=0 >::type __SetBSplineComponentValues( const Real* position , const Real* start , Real width , double* values , unsigned int stride )
{
	Polynomial< DataDegree >::BSplineComponentValues( ( position[0] - start[0] ) / width , values );
	__SetBSplineComponentValues< Real , DataDegrees ... >( position+1 , start+1 , width , values + stride , stride );
}


// evaluate the result of splatting along a plane and then evaluating at a point on the plane.
template< unsigned int Degree > double GetScaleValue( void )
{
	double centerValues[Degree+1];
	Polynomial< Degree >::BSplineComponentValues( 0.5 , centerValues );
	double scaleValue = 0;
	for( int i=0 ; i<=Degree ; i++ ) scaleValue += centerValues[i] * centerValues[i];
	return 1./ scaleValue;
}
template< unsigned int Dim , class Real >
template< unsigned int WeightDegree >
void FEMTree< Dim , Real >::_addWeightContribution( DensityEstimator< WeightDegree >& densityWeights , FEMTreeNode* node , Point< Real , Dim > position , PointSupportKey< IsotropicUIntPack< Dim , WeightDegree > >& weightKey , Real weight )
{
	static const double ScaleValue = GetScaleValue< WeightDegree >();
	double values[ Dim ][ BSplineSupportSizes< WeightDegree >::SupportSize ];
	typename FEMTreeNode::template Neighbors< IsotropicUIntPack< Dim , BSplineSupportSizes< WeightDegree >::SupportSize > >& neighbors = weightKey.template getNeighbors< true >( node , nodeAllocator , _NodeInitializer( *this ) );

	densityWeights.reserve( nodeCount() );

	Point< Real , Dim > start;
	Real w;
	_startAndWidth( node , start , w );

	for( int dim=0 ; dim<Dim ; dim++ ) Polynomial< WeightDegree >::BSplineComponentValues( ( position[dim]-start[dim] ) / w , values[dim] );

	weight *= (Real)ScaleValue;
	double scratch[Dim+1];
	scratch[0] = weight;
	WindowLoop< Dim >::Run
	(
		IsotropicUIntPack< Dim , 0 >() , IsotropicUIntPack< Dim , BSplineSupportSizes< WeightDegree >::SupportSize >() ,
		[&]( int d , int i ){ scratch[d+1] = scratch[d] * values[d][i]; } ,
		[&]( FEMTreeNode* node ){ if( node ) AddAtomic( densityWeights[ node ] , (Real)scratch[Dim] ); } ,
		neighbors.neighbors()
	);
}

template< unsigned int Dim , class Real >
template< unsigned int WeightDegree , class PointSupportKey >
Real FEMTree< Dim , Real >::_getSamplesPerNode( const DensityEstimator< WeightDegree >& densityWeights , const FEMTreeNode* node , Point< Real , Dim > position , PointSupportKey& weightKey ) const
{
	Real weight = 0;
	typedef typename PointSupportKey::NeighborType Neighbors;
	double values[ Dim ][ BSplineSupportSizes< WeightDegree >::SupportSize ];
	Neighbors neighbors = weightKey.getNeighbors( node );
	Point< Real , Dim > start;
	Real w;
	_startAndWidth( node , start , w );

	for( int dim=0 ; dim<Dim ; dim++ ) Polynomial< WeightDegree >::BSplineComponentValues( ( position[dim]-start[dim] ) / w , values[dim] );
	double scratch[Dim+1];
	scratch[0] = 1;
	WindowLoop< Dim >::Run
	(
		IsotropicUIntPack< Dim , 0 >() , IsotropicUIntPack< Dim , BSplineSupportSizes< WeightDegree >::SupportSize >() ,
		[&]( int d , int i ){ scratch[d+1] = scratch[d] * values[d][i]; } ,
		[&]( typename Neighbors::Window::data_type node ){ if( node ){ const Real* w = densityWeights( node ) ; if( w ) weight += (Real)( scratch[Dim] * (*w) ); } } ,
		neighbors.neighbors()
	);
	return weight;
}
template< unsigned int Dim , class Real >
template< unsigned int WeightDegree , class PointSupportKey >
void FEMTree< Dim , Real >::_getSampleDepthAndWeight( const DensityEstimator< WeightDegree >& densityWeights , const FEMTreeNode* node , Point< Real , Dim > position , PointSupportKey& weightKey , Real& depth , Real& weight ) const
{
	const FEMTreeNode* temp = node;
	while( _localDepth( temp )>densityWeights.kernelDepth() ) temp = temp->parent;
	weight = _getSamplesPerNode( densityWeights , temp , position , weightKey );
	if( weight>=(Real)1. ) depth = Real( _localDepth( temp ) + log( weight ) / log(double(1<<( Dim-densityWeights.coDimension() ))) );
	else
	{
		Real oldWeight , newWeight;
		oldWeight = newWeight = weight;
		while( newWeight<(Real)1. && temp->parent )
		{
			temp=temp->parent;
			oldWeight = newWeight;
			newWeight = _getSamplesPerNode( densityWeights , temp , position , weightKey );
		}
		depth = Real( _localDepth( temp ) + log( newWeight ) / log( newWeight / oldWeight ) );
	}
	weight = Real( pow( double(1<<( Dim-densityWeights.coDimension() )) , -double(depth) ) );
}
template< unsigned int Dim , class Real >
template< unsigned int WeightDegree , class PointSupportKey >
void FEMTree< Dim , Real >::_getSampleDepthAndWeight( const DensityEstimator< WeightDegree >& densityWeights , Point< Real , Dim > position , PointSupportKey& weightKey , Real& depth , Real& weight ) const
{
	FEMTreeNode* temp;
	Point< Real,  Dim > myCenter;
	for( int d=0 ; d<Dim ; d++ ) myCenter[d] = (Real)0.5;
	Real myWidth = Real( 1. );

	// Get the finest node with depth less than or equal to the splat depth that contains the point
	temp = _spaceRoot;
	while( _localDepth( temp )<densityWeights.kernelDepth() )
	{
		if( !IsActiveNode< Dim >( temp->children ) ) break; // ERROR_OUT( "" );
		int cIndex = FEMTreeNode::ChildIndex( myCenter , position );
		temp = temp->children + cIndex;
		myWidth /= 2;
		for( int d=0 ; d<Dim ; d++ )
			if( (cIndex>>d) & 1 ) myCenter[d] += myWidth/2;
			else                  myCenter[d] -= myWidth/2;
	}
	return _getSampleDepthAndWeight( densityWeights , temp , position , weightKey , depth , weight );
}

template< unsigned int Dim , class Real >
template< bool CreateNodes , class V , unsigned int ... DataSigs >
void FEMTree< Dim , Real >::_splatPointData( FEMTreeNode* node , Point< Real , Dim > position , V v , SparseNodeData< V , UIntPack< DataSigs ... > >& dataInfo , PointSupportKey< UIntPack< FEMSignature< DataSigs >::Degree ... > >& dataKey )
{
	typedef UIntPack< BSplineSupportSizes< FEMSignature< DataSigs >::Degree >::SupportSize ... > SupportSizes;
	double values[ Dim ][ SupportSizes::Max() ];
	typename FEMTreeNode::template Neighbors< UIntPack< BSplineSupportSizes< FEMSignature< DataSigs >::Degree >::SupportSize ... > >& neighbors = dataKey.template getNeighbors< CreateNodes >( node , nodeAllocator , _NodeInitializer( *this ) );

	Point< Real , Dim > start;
	Real w;
	_startAndWidth( node , start , w );

	__SetBSplineComponentValues< Real , FEMSignature< DataSigs >::Degree ... >( &position[0] , &start[0] , w , &values[0][0] , SupportSizes::Max() );
	double scratch[Dim+1];
	scratch[0] = 1;
	WindowLoop< Dim >::Run
	(
		ZeroUIntPack< Dim >() , UIntPack< BSplineSupportSizes< FEMSignature< DataSigs >::Degree >::SupportSize ... >() ,
		[&]( int d , int i ){ scratch[d+1] = scratch[d] * values[d][i]; } ,
		[&]( FEMTreeNode* node ){ if( IsActiveNode< Dim >( node ) )	AddAtomic( dataInfo[ node ] , v * (Real)scratch[Dim] ); } ,
		neighbors.neighbors()
	);
}
template< unsigned int Dim , class Real >
template< bool CreateNodes , unsigned int WeightDegree , class V , unsigned int ... DataSigs >
Real FEMTree< Dim , Real >::_splatPointData( const DensityEstimator< WeightDegree >& densityWeights , Point< Real , Dim > position , V v , SparseNodeData< V , UIntPack< DataSigs ... > >& dataInfo , PointSupportKey< IsotropicUIntPack< Dim , WeightDegree > >& weightKey , PointSupportKey< UIntPack< FEMSignature< DataSigs >::Degree ... > >& dataKey , LocalDepth minDepth , LocalDepth maxDepth , int dim , Real depthBias )
{
	double dx;
	V _v;
	FEMTreeNode* temp;
	int cnt=0;
	double width;
	Point< Real , Dim > myCenter;
	for( int d=0 ; d<Dim ; d++ ) myCenter[d] = (Real)0.5;
	Real myWidth = (Real)1.;

	temp = _spaceRoot;
	while( _localDepth( temp )<densityWeights.kernelDepth() )
	{
		if( !IsActiveNode< Dim >( temp->children ) ) break;
		int cIndex = FEMTreeNode::ChildIndex( myCenter , position );
		temp = temp->children + cIndex;
		myWidth /= 2;
		for( int d=0 ; d<Dim ; d++ )
			if( (cIndex>>d) & 1 ) myCenter[d] += myWidth/2;
			else                  myCenter[d] -= myWidth/2;
	}
	Real weight , depth;
	_getSampleDepthAndWeight( densityWeights , temp , position , weightKey , depth , weight );
	depth += depthBias;

	if( depth<minDepth ) depth = Real(minDepth);
	if( depth>maxDepth ) depth = Real(maxDepth);
	int topDepth = int(ceil(depth));

	dx = 1.0-(topDepth-depth);
	if     ( topDepth<=minDepth ) topDepth = minDepth , dx = 1;
	else if( topDepth> maxDepth ) topDepth = maxDepth , dx = 1;

	while( _localDepth( temp )>topDepth ) temp=temp->parent;
	while( _localDepth( temp )<topDepth )
	{
		if( !temp->children ) temp->initChildren( nodeAllocator , _NodeInitializer( *this ) );
		int cIndex = FEMTreeNode::ChildIndex( myCenter , position );
		temp = &temp->children[cIndex];
		myWidth/=2;
		for( int d=0 ; d<Dim ; d++ )
			if( (cIndex>>d) & 1 ) myCenter[d] += myWidth/2;
			else                  myCenter[d] -= myWidth/2;
	}
	width = 1.0 / ( 1<<_localDepth( temp ) );
	_v = v * weight / Real( pow( width , dim ) ) * Real( dx );
#if defined( __GNUC__ ) && __GNUC__ < 5
#warning "you've got me gcc version<5"
	_splatPointData< CreateNodes , V >( temp , position , _v , dataInfo , dataKey );
#else // !__GNUC__ || __GNUC__ >=5
	_splatPointData< CreateNodes , V ,  DataSigs ... >( temp , position , _v , dataInfo , dataKey );
#endif // __GNUC__ || __GNUC__ < 4
	if( fabs(1.0-dx) > 1e-6 )
	{
		dx = Real(1.0-dx);
		temp = temp->parent;
		width = 1.0 / ( 1<<_localDepth( temp ) );

		_v = v * weight / Real( pow( width , dim ) ) * Real( dx );
#if defined( __GNUC__ ) && __GNUC__ < 5
#warning "you've got me gcc version<5"
		_splatPointData< CreateNodes , V >( temp , position , _v , dataInfo , dataKey );
#else // !__GNUC__ || __GNUC__ >=5
		_splatPointData< CreateNodes , V , DataSigs ... >( temp , position , _v , dataInfo , dataKey );
#endif // __GNUC__ || __GNUC__ < 4
	}
	return weight;
}
template< unsigned int Dim , class Real >
template< bool CreateNodes , unsigned int WeightDegree , class V , unsigned int ... DataSigs >
Real FEMTree< Dim , Real >::_multiSplatPointData( const DensityEstimator< WeightDegree >* densityWeights , FEMTreeNode* node , Point< Real , Dim > position , V v , SparseNodeData< V , UIntPack< DataSigs ... > >& dataInfo , PointSupportKey< IsotropicUIntPack< Dim , WeightDegree > >& weightKey , PointSupportKey< UIntPack< FEMSignature< DataSigs >::Degree ... > >& dataKey , int dim )
{
	typedef UIntPack< BSplineSupportSizes< FEMSignature< DataSigs >::Degree >::SupportSize ... > SupportSizes;
	Real _depth , weight;
	if( densityWeights ) _getSampleDepthAndWeight( *densityWeights , position , weightKey , _depth , weight );
	else weight = (Real)1.;
	V _v = v * weight;

	double values[ Dim ][ SupportSizes::Max() ];
	dataKey.template getNeighbors< CreateNodes >( node , nodeAllocator , _NodeInitializer( *this ) );

	for( FEMTreeNode* _node=node ; _localDepth( _node )>=0 ; _node=_node->parent )
	{
		V __v = _v * (Real)pow( 1<<_localDepth( _node ) , dim );
		Point< Real , Dim > start;
		Real w;
		_startAndWidth( _node , start , w );
		__SetBSplineComponentValues< Real , FEMSignature< DataSigs >::Degree ... >( &position[0] , &start[0] , w , &values[0][0] , SupportSizes::Max() );
		typename FEMTreeNode::template Neighbors< UIntPack< BSplineSupportSizes< FEMSignature< DataSigs >::Degree >::SupportSize ... > >& neighbors = dataKey.neighbors[ _localToGlobal( _localDepth( _node ) ) ];
		double scratch[Dim+1];
		scratch[0] = 1.;
		WindowLoop< Dim >::Run
		(
			ZeroUIntPack< Dim >() , UIntPack< BSplineSupportSizes< FEMSignature< DataSigs >::Degree >::SupportSize ... >() ,
			[&]( int d , int i ){ scratch[d+1] = scratch[d] * values[d][i]; } ,
			[&]( FEMTreeNode* node ){ if( IsActiveNode< Dim >( node ) ) dataInfo[ node ] += __v * (Real)scratch[Dim];	} ,
			neighbors.neighbors()
		);
	}
	return weight;
}

template< unsigned int Dim , class Real >
template< unsigned int WeightDegree , class V , unsigned int ... DataSigs >
Real FEMTree< Dim , Real >::_nearestMultiSplatPointData( const DensityEstimator< WeightDegree >* densityWeights , FEMTreeNode* node , Point< Real , Dim > position , V v , SparseNodeData< V , UIntPack< DataSigs ... > >& dataInfo , PointSupportKey< IsotropicUIntPack< Dim , WeightDegree > >& weightKey , int dim )
{
	Real _depth , weight;
	if( densityWeights ) _getSampleDepthAndWeight( *densityWeights , position , weightKey , _depth , weight );
	else weight = (Real)1.;
	V _v = v * weight;

	for( FEMTreeNode* _node=node ; _localDepth( _node )>=0 ; _node=_node->parent ) if( IsActiveNode< Dim >( _node ) )  dataInfo[ _node ] += _v * (Real)pow( 1<<_localDepth( _node ) , dim );
	return weight;
}
//////////////////////////////////
// MultiThreadedWeightEvaluator //
//////////////////////////////////
template< unsigned int Dim , class Real >
template< unsigned int DensityDegree >
FEMTree< Dim , Real >::MultiThreadedWeightEvaluator< DensityDegree >::MultiThreadedWeightEvaluator( const FEMTree< Dim , Real >* tree , const DensityEstimator< DensityDegree >& density , int threads ) : _density( density ) , _tree( tree )
{
	_threads = std::max< int >( 1 , threads );
	_neighborKeys.resize( _threads );
	for( int t=0 ; t<_neighborKeys.size() ; t++ ) _neighborKeys[t].set( tree->_localToGlobal( density.kernelDepth() ) );
}
template< unsigned int Dim , class Real >
template< unsigned int DensityDegree >
Real FEMTree< Dim , Real >::MultiThreadedWeightEvaluator< DensityDegree >::weight( Point< Real , Dim > p , int thread )
{
	ConstPointSupportKey< IsotropicUIntPack< Dim , DensityDegree > >& nKey = _neighborKeys[thread];
	Real depth , weight;
	_tree->_getSampleDepthAndWeight( _density , p , nKey , depth , weight );
	return weight;
}