#include <itkFastMarchingQuadEdgeMeshFilterBase.h>

Inheritance diagram for itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >:

Collaboration diagram for itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >:

Detailed Description

template<class TInput, class TOutput>
class itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >

Fast Marching Method on QuadEdgeMesh.

The speed function is specified by the input mesh. Data associated to each point is considered as the speed function. The speed function is set using the method SetInput().

If the speed function is contant and of value one, fast marching results is an approximate geodesic function from the initial alive points.

Implementation of this class is based on "Fast Marching Methods on Triangulated Domains", Kimmel, R., and Sethian, J.A., Proc. Nat. Acad. Sci., 95, pp. 8341-8435, 1998.

Definition at line 44 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::InputDomainPointer	InputMeshPointer

typedef Superclass::InputDomainType	InputMeshType

typedef Superclass::InputPixelType	InputPixelType

typedef InputMeshType::PointIdentifier	InputPointIdentifierType

typedef InputMeshType::PointType	InputPointType

typedef Superclass::LabelType	LabelType

typedef NodeLabelMapType::const_iterator	NodeLabelMapConstIterator

typedef NodeLabelMapType::iterator	NodeLabelMapIterator

typedef std::map< NodeType, LabelType >	NodeLabelMapType

typedef Traits::NodePairContainerConstIterator	NodePairContainerConstIterator

typedef Traits::NodePairContainerPointer	NodePairContainerPointer

typedef Traits::NodePairContainerType	NodePairContainerType

typedef Traits::NodePairType	NodePairType

typedef Traits::NodeType	NodeType

typedef OutputMeshType::CellsContainer	OutputCellsContainer

typedef OutputCellsContainer::ConstIterator	OutputCellsContainerConstIterator

typedef OutputCellsContainer::Pointer	OutputCellsContainerPointer

typedef OutputMeshType::CellType	OutputCellType

typedef Superclass::OutputDomainPointer	OutputMeshPointer

typedef Superclass::OutputDomainType	OutputMeshType

typedef Superclass::OutputPixelType	OutputPixelType

typedef OutputMeshType::PointDataContainer	OutputPointDataContainer

typedef OutputPointDataContainer::Pointer	OutputPointDataContainerPointer

typedef OutputMeshType::PointIdentifier	OutputPointIdentifierType

typedef OutputMeshType::PointsContainer	OutputPointsContainer

typedef OutputPointsContainer::Iterator	OutputPointsContainerIterator

typedef OutputPointsContainer::Pointer	OutputPointsContainerPointer

typedef OutputMeshType::PointType	OutputPointType

typedef OutputMeshType::QEType	OutputQEType

typedef OutputVectorType::RealValueType	OutputVectorRealType

typedef OutputPointType::VectorType	OutputVectorType

typedef SmartPointer< Self >	Pointer

typedef FastMarchingQuadEdgeMeshFilterBase	Self

typedef FastMarchingBase < TInput, TOutput >	Superclass

typedef Superclass::Traits	Traits

Public Types inherited from itk::FastMarchingBase< TInput, TOutput >
typedef SmartPointer< const Self >	ConstPointer

typedef Traits::InputDomainPointer	InputDomainPointer

typedef Traits::InputDomainType	InputDomainType

typedef Traits::InputPixelType	InputPixelType

typedef Traits::LabelType	LabelType

typedef Traits::NodePairContainerConstIterator	NodePairContainerConstIterator

typedef Traits::NodePairContainerPointer	NodePairContainerPointer

typedef Traits::NodePairContainerType	NodePairContainerType

typedef Traits::NodePairType	NodePairType

typedef Traits::NodeType	NodeType

typedef Traits::OutputDomainPointer	OutputDomainPointer

typedef Traits::OutputDomainType	OutputDomainType

typedef Traits::OutputPixelType	OutputPixelType

typedef SmartPointer< Self >	Pointer

typedef FastMarchingBase	Self

typedef StoppingCriterionType::Pointer	StoppingCriterionPointer

typedef FastMarchingStoppingCriterionBase < TInput, TOutput >	StoppingCriterionType

typedef SuperclassType	Superclass

typedef Traits::SuperclassType	SuperclassType

enum	TopologyCheckType { Nothing = 0, NoHandles, Strict }

typedef FastMarchingTraits < TInput, TOutput >	Traits

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const

virtual const char *	GetNameOfClass () const

Public Member Functions inherited from itk::FastMarchingBase< TInput, TOutput >
virtual double	GetNormalizationFactor ()

virtual double	GetSpeedConstant ()

virtual StoppingCriterionType *	GetStoppingCriterion ()

virtual OutputPixelType	GetTargetReachedValue ()

virtual void	SetCollectPoints (bool _arg)

virtual void	SetNormalizationFactor (double _arg)

virtual void	SetSpeedConstant (double _arg)

virtual void	SetStoppingCriterion (StoppingCriterionType *_arg)

virtual void	SetTopologyCheck (TopologyCheckType _arg)

virtual const TopologyCheckType &	GetTopologyCheck ()

virtual void	SetTrialPoints (NodePairContainerType *_arg)

virtual NodePairContainerType *	GetTrialPoints ()

virtual void	SetAlivePoints (NodePairContainerType *_arg)

virtual NodePairContainerType *	GetAlivePoints ()

virtual void	SetProcessedPoints (NodePairContainerType *_arg)

virtual NodePairContainerType *	GetProcessedPoints ()

virtual void	SetForbiddenPoints (NodePairContainerType *_arg)

virtual NodePairContainerType *	GetForbiddenPoints ()

virtual const bool &	GetCollectPoints ()

virtual void	CollectPointsOn ()

virtual void	CollectPointsOff ()

Static Public Member Functions
static Pointer	New ()

Protected Member Functions
bool	CheckTopology (OutputMeshType *oMesh, const NodeType &iNode)

const OutputVectorRealType	ComputeUpdate (const OutputVectorRealType &iVal1, const OutputVectorRealType &iVal2, const OutputVectorRealType &iNorm1, const OutputVectorRealType &iSqNorm1, const OutputVectorRealType &iNorm2, const OutputVectorRealType &iSqNorm2, const OutputVectorRealType &iDot, const OutputVectorRealType &iF) const

	FastMarchingQuadEdgeMeshFilterBase ()

unsigned char	GetLabelValueForGivenNode (const NodeType &iNode) const

const OutputPixelType	GetOutputValue (OutputMeshType *oMesh, const NodeType &iNode) const

IdentifierType	GetTotalNumberOfNodes () const

void	InitializeOutput (OutputMeshType *oMesh)

void	SetLabelValueForGivenNode (const NodeType &iNode, const LabelType &iLabel)

void	SetOutputValue (OutputMeshType *oMesh, const NodeType &iNode, const OutputPixelType &iValue)

const OutputVectorRealType	Solve (OutputMeshType *oMesh, const NodeType &iId, const OutputPointType &iCurrentPoint, const OutputVectorRealType &iF, const NodeType &iId1, const OutputPointType &iP1, const bool &iIsFar1, const OutputVectorRealType iVal1, const NodeType &iId2, const OutputPointType &iP2, const bool &iIsFar2, const OutputVectorRealType &iVal2) const

bool	UnfoldTriangle (OutputMeshType *oMesh, const OutputPointIdentifierType &iId, const OutputPointType &iP, const OutputPointIdentifierType &iId1, const OutputPointType &iP1, const OutputPointIdentifierType &iId2, const OutputPointType &iP2, OutputVectorRealType &oNorm, OutputVectorRealType &oSqNorm, OutputVectorRealType &oDot1, OutputVectorRealType &oDot2, OutputPointIdentifierType &oId) const

void	UpdateNeighbors (OutputMeshType *oMesh, const NodeType &iNode)

void	UpdateValue (OutputMeshType *oMesh, const NodeType &iNode)

virtual	~FastMarchingQuadEdgeMeshFilterBase ()

Protected Member Functions inherited from itk::FastMarchingBase< TInput, TOutput >
virtual bool	CheckTopology (OutputDomainType *oDomain, const NodeType &iNode)=0

	FastMarchingBase ()

void	GenerateData ()

virtual const OutputPixelType	GetOutputValue (OutputDomainType *oDomain, const NodeType &iNode) const =0

void	Initialize (OutputDomainType *oDomain)

virtual void	InitializeOutput (OutputDomainType *oDomain)=0

void	PrintSelf (std::ostream &os, Indent indent) const

virtual void	SetOutputValue (OutputDomainType *oDomain, const NodeType &iNode, const OutputPixelType &iValue)=0

virtual void	UpdateNeighbors (OutputDomainType *oDomain, const NodeType &iNode)=0

virtual void	UpdateValue (OutputDomainType *oDomain, const NodeType &iNode)=0

virtual	~FastMarchingBase ()

Protected Attributes
NodeLabelMapType	m_Label

Protected Attributes inherited from itk::FastMarchingBase< TInput, TOutput >
NodePairContainerPointer	m_AlivePoints

bool	m_CollectPoints

NodePairContainerPointer	m_ForbiddenPoints

PriorityQueueType	m_Heap

double	m_InverseSpeed

OutputPixelType	m_LargeValue

double	m_NormalizationFactor

NodePairContainerPointer	m_ProcessedPoints

double	m_SpeedConstant

StoppingCriterionPointer	m_StoppingCriterion

OutputPixelType	m_TargetReachedValue

TopologyCheckType	m_TopologyCheck

OutputPixelType	m_TopologyValue

NodePairContainerPointer	m_TrialPoints

Private Member Functions
	FastMarchingQuadEdgeMeshFilterBase (const Self &)

void	operator= (const Self &)

Private Attributes
const InputMeshType *	m_InputMesh

Additional Inherited Members
Protected Types inherited from itk::FastMarchingBase< TInput, TOutput >
typedef std::vector< NodePairType >	HeapContainerType

typedef std::greater < NodePairType >	NodeComparerType

typedef std::priority_queue < NodeType, HeapContainerType, NodeComparerType >	PriorityQueueType

Member Typedef Documentation

template<class TInput , class TOutput >

typedef SmartPointer< const Self > itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::ConstPointer

Definition at line 51 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::InputDomainPointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::InputMeshPointer

Definition at line 61 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::InputDomainType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::InputMeshType

Definition at line 58 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::InputPixelType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::InputPixelType

Definition at line 62 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef InputMeshType::PointIdentifier itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::InputPointIdentifierType

Definition at line 64 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef InputMeshType::PointType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::InputPointType

Definition at line 63 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::LabelType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::LabelType

Definition at line 101 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef NodeLabelMapType::const_iterator itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodeLabelMapConstIterator

Definition at line 105 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef NodeLabelMapType::iterator itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodeLabelMapIterator

Definition at line 104 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef std::map< NodeType, LabelType > itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodeLabelMapType

Definition at line 103 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Traits::NodePairContainerConstIterator itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodePairContainerConstIterator

Definition at line 94 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Traits::NodePairContainerPointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodePairContainerPointer

Definition at line 92 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Traits::NodePairContainerType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodePairContainerType

Definition at line 91 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Traits::NodePairType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodePairType

Definition at line 90 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Traits::NodeType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::NodeType

Definition at line 89 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputMeshType::CellsContainer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputCellsContainer

Definition at line 82 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputCellsContainer::ConstIterator itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputCellsContainerConstIterator

Definition at line 85 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputCellsContainer::Pointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputCellsContainerPointer

Definition at line 83 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputMeshType::CellType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputCellType

Definition at line 86 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::OutputDomainPointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputMeshPointer

Definition at line 67 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::OutputDomainType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputMeshType

Definition at line 66 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::OutputPixelType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPixelType

Definition at line 68 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputMeshType::PointDataContainer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPointDataContainer

Definition at line 78 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputPointDataContainer::Pointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPointDataContainerPointer

Definition at line 80 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputMeshType::PointIdentifier itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPointIdentifierType

Definition at line 73 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputMeshType::PointsContainer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPointsContainer

Definition at line 74 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputPointsContainer::Iterator itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPointsContainerIterator

Definition at line 76 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputPointsContainer::Pointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPointsContainerPointer

Definition at line 75 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputMeshType::PointType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputPointType

Definition at line 69 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputMeshType::QEType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputQEType

Definition at line 72 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputVectorType::RealValueType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputVectorRealType

Definition at line 71 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef OutputPointType::VectorType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::OutputVectorType

Definition at line 70 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef SmartPointer< Self > itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::Pointer

Definition at line 50 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef FastMarchingQuadEdgeMeshFilterBase itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::Self

Definition at line 48 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef FastMarchingBase< TInput, TOutput > itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::Superclass

Definition at line 49 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

template<class TInput , class TOutput >

typedef Superclass::Traits itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::Traits

Definition at line 52 of file itkFastMarchingQuadEdgeMeshFilterBase.h.

Constructor & Destructor Documentation

template<class TInput , class TOutput >

itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::FastMarchingQuadEdgeMeshFilterBase ( )

protected

template<class TInput , class TOutput >

virtual itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::~FastMarchingQuadEdgeMeshFilterBase ( )

protectedvirtual

template<class TInput , class TOutput >

itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::FastMarchingQuadEdgeMeshFilterBase ( const Self & )

private

Member Function Documentation

template<class TInput , class TOutput >

bool itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::CheckTopology	(	OutputMeshType *	oMesh,
		const NodeType &	iNode
	)

protected

template<class TInput , class TOutput >

const OutputVectorRealType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::ComputeUpdate	(	const OutputVectorRealType &	iVal1,
		const OutputVectorRealType &	iVal2,
		const OutputVectorRealType &	iNorm1,
		const OutputVectorRealType &	iSqNorm1,
		const OutputVectorRealType &	iNorm2,
		const OutputVectorRealType &	iSqNorm2,
		const OutputVectorRealType &	iDot,
		const OutputVectorRealType &	iF
	)		const

protected

template<class TInput , class TOutput >

virtual::itk::LightObject::Pointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::CreateAnother ( void ) const

template<class TInput , class TOutput >

unsigned char itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::GetLabelValueForGivenNode ( const NodeType & iNode ) const

protectedvirtual

Get the LabelType Value for a given node.

Parameters

[in] iNode

Returns: its label value

Implements itk::FastMarchingBase< TInput, TOutput >.

template<class TInput , class TOutput >

virtual const char* itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

template<class TInput , class TOutput >

const OutputPixelType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::GetOutputValue	(	OutputMeshType *	oMesh,
		const NodeType &	iNode
	)		const

protected

template<class TInput , class TOutput >

IdentifierType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::GetTotalNumberOfNodes ( ) const

protectedvirtual

Get the total number of nodes in the domain.

Implements itk::FastMarchingBase< TInput, TOutput >.

template<class TInput , class TOutput >

void itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::InitializeOutput ( OutputMeshType * oMesh )

protected

template<class TInput , class TOutput >

static Pointer itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::New ( )

static

Method for creation through the object factory.

template<class TInput , class TOutput >

void itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::operator= ( const Self & )

private

template<class TInput , class TOutput >

void itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::SetLabelValueForGivenNode	(	const NodeType &	iNode,
		const LabelType &	iLabel
	)

protectedvirtual

Set the Label Value for a given node.

Parameters

[in]	iNode
[in]	iLabel

Implements itk::FastMarchingBase< TInput, TOutput >.

template<class TInput , class TOutput >

void itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::SetOutputValue	(	OutputMeshType *	oMesh,
		const NodeType &	iNode,
		const OutputPixelType &	iValue
	)

protected

template<class TInput , class TOutput >

const OutputVectorRealType itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::Solve	(	OutputMeshType *	oMesh,
		const NodeType &	iId,
		const OutputPointType &	iCurrentPoint,
		const OutputVectorRealType &	iF,
		const NodeType &	iId1,
		const OutputPointType &	iP1,
		const bool &	iIsFar1,
		const OutputVectorRealType	iVal1,
		const NodeType &	iId2,
		const OutputPointType &	iP2,
		const bool &	iIsFar2,
		const OutputVectorRealType &	iVal2
	)		const

protected

template<class TInput , class TOutput >

bool itk::FastMarchingQuadEdgeMeshFilterBase< TInput, TOutput >::UnfoldTriangle	(	OutputMeshType *	oMesh,
		const OutputPointIdentifierType &	iId,
		const OutputPointType &	iP,
		const OutputPointIdentifierType &	iId1,
		const OutputPointType &	iP1,
		const OutputPointIdentifierType &	iId2,
		const OutputPointType &	iP2,
		OutputVectorRealType &	oNorm,
		OutputVectorRealType &	oSqNorm,
		OutputVectorRealType &	oDot1,
		OutputVectorRealType &	oDot2,
		OutputPointIdentifierType &	oId
	)		const