#include <itkSmoothingQuadEdgeMeshFilter.h>

Inheritance diagram for itk::SmoothingQuadEdgeMeshFilter< TInputMesh, TOutputMesh >:

Collaboration diagram for itk::SmoothingQuadEdgeMeshFilter< TInputMesh, TOutputMesh >:

Detailed Description

template<typename TInputMesh, typename TOutputMesh = TInputMesh>
class itk::SmoothingQuadEdgeMeshFilter< TInputMesh, TOutputMesh >

QuadEdgeMesh Smoothing Filter.

This filter adjusts point coordinates using Laplacian smoothing. The effect is to "relax" the mesh, making the cells better shaped and the vertices more evenly distributed.

For one iteration the location of one vertex is computed as follows:

$\boldsymbol{ v' }_i = v_i + m_RelaxationFactor \cdot \frac{ \sum_j w_{ij} ( \boldsymbol{ v_j } - \boldsymbol{ v_i } ) }{ \sum_j w_{ij} }$

where $w_{ij}$ is computed by the means of the set functor CoefficientsComputation

This process is then repeated for m_NumberOfIterations (the more iterations, the smoother the output mesh will be).

At each iteration, one can run DelaunayConformingQuadEdgeMeshFilter resulting a more regular (in terms of connectivity) and smoother mesh. Depending on the mesh size and configuration it could be an expensive process to run it at each iterations, especially if the number of iterations is large. Note that one can still run N iterations without DelaunayConformingQuadEdgeMeshFilter, then run this filter and apply this process M times.

Definition at line 58 of file itkSmoothingQuadEdgeMeshFilter.h.

Public Types
typedef MatrixCoefficients < OutputMeshType >	CoefficientsComputation

typedef SmartPointer< const Self >	ConstPointer

typedef InputMeshType::Pointer	InputMeshPointer

typedef TInputMesh	InputMeshType

typedef OutputMeshType::CellsContainerIterator	OutputCellsContainerIterator

typedef OutputMeshType::CellsContainerPointer	OutputCellsContainerPointer

typedef OutputPointType::CoordRepType	OutputCoordType

typedef OutputMeshType::EdgeCellType	OutputEdgeCellType

typedef OutputMeshType::Pointer	OutputMeshPointer

typedef TOutputMesh	OutputMeshType

typedef OutputMeshType::PointIdentifier	OutputPointIdentifier

typedef OutputMeshType::PointsContainer	OutputPointsContainer

typedef OutputMeshType::PointsContainerIterator	OutputPointsContainerIterator

typedef OutputMeshType::PointsContainerPointer	OutputPointsContainerPointer

typedef OutputMeshType::PointType	OutputPointType

typedef OutputMeshType::PolygonCellType	OutputPolygonCellType

typedef OutputMeshType::QEType	OutputQEType

typedef OutputPointType::VectorType	OutputVectorType

typedef SmartPointer< Self >	Pointer

typedef SmoothingQuadEdgeMeshFilter	Self

typedef QuadEdgeMeshToQuadEdgeMeshFilter < TInputMesh, TOutputMesh >	Superclass

Public Types inherited from itk::QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
typedef SmartPointer< const Self >	ConstPointer

typedef InputMeshType::CellDataContainer	InputCellDataContainer

typedef InputMeshType::CellsContainerConstIterator	InputCellsContainerConstIterator

typedef InputMeshType::CellsContainerConstPointer	InputCellsContainerConstPointer

typedef InputMeshType::CellTraits	InputCellTraits

typedef InputMeshType::CoordRepType	InputCoordRepType

typedef InputMeshType::EdgeCellType	InputEdgeCellType

typedef InputMeshType::ConstPointer	InputMeshConstPointer

typedef InputMeshType::Pointer	InputMeshPointer

typedef TInputMesh	InputMeshType

typedef InputMeshType::PointDataContainer	InputPointDataContainer

typedef InputPointDataContainer::ConstPointer	InputPointDataContainerConstPointer

typedef InputMeshType::PointIdentifier	InputPointIdentifier

typedef InputMeshType::PointIdList	InputPointIdList

typedef InputMeshType::PointsContainerConstIterator	InputPointsContainerConstIterator

typedef InputMeshType::PointsContainerConstPointer	InputPointsContainerConstPointer

typedef InputCellTraits::PointIdInternalIterator	InputPointsIdInternalIterator

typedef InputMeshType::PointType	InputPointType

typedef InputMeshType::PolygonCellType	InputPolygonCellType

typedef InputQEPrimal::IteratorGeom	InputQEIterator

typedef InputMeshType::QEPrimal	InputQEPrimal

typedef InputMeshType::VectorType	InputVectorType

typedef OutputMeshType::CellDataContainer	OutputCellDataContainer

typedef OutputMeshType::CoordRepType	OutputCoordRepType

typedef OutputMeshType::ConstPointer	OutputMeshConstPointer

typedef OutputMeshType::Pointer	OutputMeshPointer

typedef TOutputMesh	OutputMeshType

typedef OutputMeshType::PointDataContainer	OutputPointDataContainer

typedef OutputMeshType::PointIdentifier	OutputPointIdentifier

typedef OutputMeshType::PointsContainerConstPointer	OutputPointsContainerConstPointer

typedef OutputMeshType::PointsContainerIterator	OutputPointsContainerIterator

typedef OutputMeshType::PointsContainerPointer	OutputPointsContainerPointer

typedef OutputMeshType::PointType	OutputPointType

typedef OutputQEPrimal::IteratorGeom	OutputQEIterator

typedef OutputMeshType::QEPrimal	OutputQEPrimal

typedef OutputMeshType::VectorType	OutputVectorType

typedef SmartPointer< Self >	Pointer

typedef QuadEdgeMeshToQuadEdgeMeshFilter	Self

typedef MeshToMeshFilter < TInputMesh, TOutputMesh >	Superclass

Public Types inherited from itk::MeshToMeshFilter< TInputMesh, TOutputMesh >
typedef SmartPointer< const Self >	ConstPointer

typedef InputMeshType::Pointer	InputMeshPointer

typedef TInputMesh	InputMeshType

typedef OutputMeshType::Pointer	OutputMeshPointer

typedef TOutputMesh	OutputMeshType

typedef SmartPointer< Self >	Pointer

typedef MeshToMeshFilter	Self

typedef MeshSource< TOutputMesh >	Superclass

Public Types inherited from itk::MeshSource< TOutputMesh >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef OutputMeshType::Pointer	OutputMeshPointer

typedef TOutputMesh	OutputMeshType

typedef SmartPointer< Self >	Pointer

typedef MeshSource	Self

typedef ProcessObject	Superclass

typedef ProcessObject::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType

Public Types inherited from itk::ProcessObject
typedef SmartPointer< const Self >	ConstPointer

typedef DataObject::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef std::vector < DataObjectPointer >	DataObjectPointerArray

typedef DataObjectPointerArray::size_type	DataObjectPointerArraySizeType

typedef std::vector < DataObjectIdentifierType >	NameArray

typedef SmartPointer< Self >	Pointer

typedef ProcessObject	Self

typedef Object	Superclass

Public Types inherited from itk::Object
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

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

virtual const char *	GetNameOfClass () const

void	SetCoefficientsMethod (CoefficientsComputation *iMethod)


virtual void	SetNumberOfIterations (unsigned int _arg)

virtual unsigned int	GetNumberOfIterations () const


virtual void	SetDelaunayConforming (bool _arg)

virtual bool	GetDelaunayConforming () const


virtual void	SetRelaxationFactor (OutputCoordType _arg)

virtual OutputCoordType	GetRelaxationFactor () const

Public Member Functions inherited from itk::MeshToMeshFilter< TInputMesh, TOutputMesh >
const InputMeshType *	GetInput () const

const InputMeshType *	GetInput (unsigned int idx) const

void	SetInput (const InputMeshType *input)

Public Member Functions inherited from itk::MeshSource< TOutputMesh >
OutputMeshType *	GetOutput ()

OutputMeshType *	GetOutput (unsigned int idx)

virtual void	GraftNthOutput (unsigned int idx, DataObject *output)

virtual void	GraftOutput (const DataObjectIdentifierType &key, DataObject *output)

void	SetOutput (TOutputMesh *output)

virtual void	GraftOutput (DataObject *output)

virtual DataObjectPointer	MakeOutput (DataObjectPointerArraySizeType idx) override

Public Member Functions inherited from itk::ProcessObject
virtual void	AbortGenerateDataOff ()

virtual void	AbortGenerateDataOn ()

virtual void	EnlargeOutputRequestedRegion (DataObject *)

virtual const bool &	GetAbortGenerateData () const

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

NameArray	GetInputNames () const

DataObjectPointerArray	GetInputs ()

MultiThreader *	GetMultiThreader () const

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const

NameArray	GetOutputNames () const

DataObjectPointerArray	GetOutputs ()

virtual const float &	GetProgress () const

NameArray	GetRequiredInputNames () const

bool	HasInput (const DataObjectIdentifierType &key) const

bool	HasOutput (const DataObjectIdentifierType &key) const

virtual DataObjectPointer	MakeOutput (const DataObjectIdentifierType &)

virtual void	PrepareOutputs ()

virtual void	PropagateRequestedRegion (DataObject *output)

virtual void	ResetPipeline ()

virtual void	SetAbortGenerateData (bool _arg)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (float progress)

void	SetProgress (float progress)

virtual void	SetReleaseDataFlag (bool flag)

virtual bool	GetReleaseDataFlag () const

void	ReleaseDataFlagOn ()

void	ReleaseDataFlagOff ()

virtual void	SetReleaseDataBeforeUpdateFlag (bool _arg)

virtual const bool &	GetReleaseDataBeforeUpdateFlag () const

virtual void	ReleaseDataBeforeUpdateFlagOn ()

virtual void	ReleaseDataBeforeUpdateFlagOff ()

virtual void	SetNumberOfThreads (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfThreads () const

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)

unsigned long	AddObserver (const EventObject &event, Command *) const

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

virtual void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) override

virtual void	UnRegister () const noexceptoverride

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
static Pointer	New ()

Static Public Member Functions inherited from itk::MeshToMeshFilter< TInputMesh, TOutputMesh >
static Pointer	New ()

Static Public Member Functions inherited from itk::MeshSource< TOutputMesh >
static Pointer	New ()

Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool flag)

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Static Public Attributes
static const unsigned int	PointDimension = OutputMeshType::PointDimension

Protected Types
typedef InputOutputDelaunayConformingType::Pointer	InputOutputDelaunayConformingPointer

typedef DelaunayConformingQuadEdgeMeshFilter < InputMeshType, OutputMeshType >	InputOutputDelaunayConformingType

typedef OutputDelaunayConformingType::Pointer	OutputDelaunayConformingPointer

typedef DelaunayConformingQuadEdgeMeshFilter < OutputMeshType, OutputMeshType >	OutputDelaunayConformingType

Protected Member Functions
void	GenerateData () override

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

	SmoothingQuadEdgeMeshFilter ()

	~SmoothingQuadEdgeMeshFilter ()

Protected Member Functions inherited from itk::QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
virtual void	CopyInputMeshToOutputMesh ()

virtual void	CopyInputMeshToOutputMeshCellData ()

virtual void	CopyInputMeshToOutputMeshCells ()

virtual void	CopyInputMeshToOutputMeshEdgeCells ()

virtual void	CopyInputMeshToOutputMeshFieldData ()

virtual void	CopyInputMeshToOutputMeshGeometry ()

virtual void	CopyInputMeshToOutputMeshPointData ()

virtual void	CopyInputMeshToOutputMeshPoints ()

	QuadEdgeMeshToQuadEdgeMeshFilter ()

virtual	~QuadEdgeMeshToQuadEdgeMeshFilter ()

Protected Member Functions inherited from itk::MeshToMeshFilter< TInputMesh, TOutputMesh >
void	CopyInputMeshToOutputMeshCellData ()

void	CopyInputMeshToOutputMeshCellLinks ()

void	CopyInputMeshToOutputMeshCells ()

void	CopyInputMeshToOutputMeshPointData ()

void	CopyInputMeshToOutputMeshPoints ()

	MeshToMeshFilter ()

	~MeshToMeshFilter ()

Protected Member Functions inherited from itk::MeshSource< TOutputMesh >
virtual void	GenerateInputRequestedRegion () override

	MeshSource ()

virtual	~MeshSource ()

Protected Member Functions inherited from itk::ProcessObject
virtual void	AddInput (DataObject *input)

virtual void	AddOutput (DataObject *output)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateOutputInformation ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs () const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () const

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (const DataObjectIdentifierType &) const

bool	IsRequiredInputName (const DataObjectIdentifierType &) const

	itkLegacyMacro (virtual void RemoveOutput(DataObject *output))

	itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num))

	itkLegacyMacro (virtual void RemoveInput(DataObject *input))

	itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num))

DataObjectPointerArraySizeType	MakeIndexFromInputName (const DataObjectIdentifierType &name) const

DataObjectPointerArraySizeType	MakeIndexFromOutputName (const DataObjectIdentifierType &name) const

DataObjectIdentifierType	MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const

DataObjectIdentifierType	MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const

virtual void	PopBackInput ()

virtual void	PopFrontInput ()

	ProcessObject ()

virtual void	PropagateResetPipeline ()

virtual void	PushBackInput (const DataObject *input)

virtual void	PushFrontInput (const DataObject *input)

virtual void	ReleaseInputs ()

virtual void	RemoveInput (const DataObjectIdentifierType &key)

virtual void	RemoveInput (DataObjectPointerArraySizeType)

virtual void	RemoveOutput (const DataObjectIdentifierType &key)

virtual void	RemoveOutput (DataObjectPointerArraySizeType idx)

bool	RemoveRequiredInputName (const DataObjectIdentifierType &)

virtual void	RestoreInputReleaseDataFlags ()

virtual void	SetInput (const DataObjectIdentifierType &key, DataObject *input)

virtual void	SetNthInput (DataObjectPointerArraySizeType num, DataObject *input)

virtual void	SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output)

void	SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)

void	SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

virtual void	SetOutput (const DataObjectIdentifierType &key, DataObject *output)

virtual void	SetPrimaryInput (DataObject *input)

virtual void	SetPrimaryOutput (DataObject *output)

void	SetRequiredInputNames (const NameArray &)

virtual void	VerifyInputInformation ()

virtual void	VerifyPreconditions ()

	~ProcessObject ()

DataObject *	GetInput (DataObjectPointerArraySizeType idx)

const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryInput ()

const DataObject *	GetPrimaryInput () const

virtual void	SetPrimaryInputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryInputName (void) const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName (void) const

DataObject *	GetOutput (DataObjectPointerArraySizeType idx)

const DataObject *	GetOutput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () const

Protected Member Functions inherited from itk::Object
	Object ()

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object ()

Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

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

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

virtual	~LightObject ()

Protected Attributes
CoefficientsComputation *	m_CoefficientsMethod

bool	m_DelaunayConforming

InputOutputDelaunayConformingPointer	m_InputDelaunayFilter

unsigned int	m_NumberOfIterations

OutputDelaunayConformingPointer	m_OutputDelaunayFilter

OutputCoordType	m_RelaxationFactor

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

Protected Attributes inherited from itk::LightObject
AtomicInt< int >	m_ReferenceCount

Private Member Functions
void	operator= (const Self &)

	SmoothingQuadEdgeMeshFilter (const Self &)