#include <itkLaplacianDeformationQuadEdgeMeshFilter.h>

Inheritance diagram for itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >:

Collaboration diagram for itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >:

Detailed Description

template<class TInputMesh, class TOutputMesh, class TSolverTraits>
class itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >

(abstract) base class for laplacian surface mesh deformation.

Laplacian mesh deformation offers the ability to deform 3D surface mesh while preserving local details.

Laplacian-based approaches represent the surface by the so-called differential coordinates or Laplacian coordinates $\boldsymbol{ \delta }_i$ . These coordinates are obtained by applying the Laplacian operator to the mesh vertices:

$\boldsymbol{ \delta }_i = \Delta_{S}( \boldsymbol{ p }_i ) = - H_i \cdot \boldsymbol{ n_i }$

where $H_i$ is the mean curvature $( \kappa_1 + \kappa_2 )$ at the vertex $v_i$ .

The deformation can be formulated by minimizing the difference from the input surface coordinates $\delta_i$ . With a continuous formulation, this would lead to the minimization of the following energy:

$\min_{\boldsymbol{p'}} \int_{\Omega} \| \boldsymbol{\Delta p'} - \boldsymbol{\delta} \| du dv$

The Euler-Lagrange equation derived:

$\Delta^2 \boldsymbol{p'} = \Delta \boldsymbol{\delta}$

When considering the input surface as the parameter domain, the Laplace operator turns out into the Laplace-Beltrami operator $\Delta_S$ :

$L^2 \boldsymbol{p'} = L \boldsymbol{ \delta }$

which can be separated into 3 coordinate components.

Then users can add positional constraints on some vertices:

$\boldsymbol{p'}_j = \boldsymbol{c}_j$

If output positions must exactly match set constraints, see LaplacianDeformationQuadEdgeMeshFilterWithHardConstraints. Else see LaplacianDeformationQuadEdgeMeshFilterWithSoftConstraints

To make the deformation as generic as possible, user can provide/choose:

their own way to compute Laplacian by the means of m_CoefficientsMethod
Laplacian order by the means of m_Order (according to the literature for m_Order > 3, it can becomes numerically unstable)
one normalization per vertex based on the local area on the mesh (MIXED_AREA)
Sparser solver used by the mean of the template parameter TSolverTraits

Template Parameters

TInputMesh	Input Mesh Type
TOutputMesh	Output Mesh Type
TSolverTraits	Linear Sparse Solver Traits see VNLIterativeSparseSolverTraits and VNLSparseLUSolverTraits

For details, see http://hdl.handle.net/10380/3410

Definition at line 93 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

Classes
struct	HashOutputQEPrimal

struct	Triple

Public Types
enum	AreaType { NONE = 0, MIXEDAREA }

typedef MatrixCoefficients < OutputMeshType >	CoefficientsComputationType

typedef SmartPointer< const Self >	ConstPointer

typedef TInputMesh	InputMeshType

typedef Superclass::InputPointType	InputPointType

typedef SolverTraits::MatrixType	MatrixType

typedef Superclass::OutputCoordRepType	OutputCoordRepType

typedef TOutputMesh	OutputMeshType

typedef Superclass::OutputPointIdentifier	OutputPointIdentifier

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::OutputQEIterator	OutputQEIterator

typedef Superclass::OutputQEPrimal	OutputQEPrimal

typedef Superclass::OutputVectorType	OutputVectorType

typedef SmartPointer< Self >	Pointer

typedef LaplacianDeformationQuadEdgeMeshFilter	Self

typedef TSolverTraits	SolverTraits

typedef QuadEdgeMeshToQuadEdgeMeshFilter < TInputMesh, TOutputMesh >	Superclass

typedef TriangleHelper < OutputPointType >	TriangleType

typedef SolverTraits::ValueType	ValueType

typedef SolverTraits::VectorType	VectorType

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
void	ClearConstraints ()

bool	GetDisplacement (OutputPointIdentifier vId, OutputVectorType &oV) const

virtual const char *	GetNameOfClass () const

void	SetConstrainedNode (OutputPointIdentifier vId, const OutputPointType &iP)

void	SetDisplacement (OutputPointIdentifier vId, const OutputVectorType &iV)

	typedef (Concept::SameDimension< InputPointDimension, OutputPointDimension >) SameDimensionCheck1

	typedef (Concept::SameDimension< InputPointDimension, 3 >) SameDimensionCheck2


void	SetCoefficientsMethod (CoefficientsComputationType *iMethod)


virtual void	SetOrder (unsigned int _arg)

virtual unsigned int	GetOrder ()


virtual void	SetAreaComputationType (AreaType _arg)

virtual AreaType	GetAreaComputationType ()

Public Member Functions inherited from itk::QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
virtual ::itk::LightObject::Pointer	CreateAnother () 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 Attributes
static const unsigned int	InputPointDimension = InputMeshType::PointDimension

static const unsigned int	OutputPointDimension = OutputMeshType::PointDimension

Protected Types
typedef AreaMapType::const_iterator	AreaMapConstIterator

typedef itksys::hash_map < OutputPointIdentifier, OutputCoordRepType >	AreaMapType

typedef CoefficientMapType::const_iterator	CoefficientMapConstIterator

typedef itksys::hash_map < OutputQEPrimal *, OutputCoordRepType, HashOutputQEPrimal >	CoefficientMapType

typedef ConstraintMapType::const_iterator	ConstraintMapConstIterator

typedef itksys::hash_map < OutputPointIdentifier, OutputVectorType >	ConstraintMapType

typedef itksys::hash_map < OutputPointIdentifier, OutputPointIdentifier >	OutputMapPointIdentifier

typedef OutputMapPointIdentifier::const_iterator	OutputMapPointIdentifierConstIterator

typedef OutputMapPointIdentifier::iterator	OutputMapPointIdentifierIterator

typedef RowType::const_iterator	RowConstIterator

typedef RowType::iterator	RowIterator

typedef itksys::hash_map < OutputPointIdentifier, OutputCoordRepType >	RowType

Protected Member Functions
void	ComputeLaplacianMatrix (MatrixType &ioL)

OutputCoordRepType	ComputeMixedArea (OutputQEPrimal iQE1, OutputQEPrimal iQE2)

OutputCoordRepType	ComputeMixedAreaForGivenVertex (OutputPointIdentifier vId)

virtual void	ComputeVertexIdMapping ()

void	FillMatrix (MatrixType &iM, VectorType &iBx, VectorType &iBy, VectorType &iBz)

void	FillMatrixRow (OutputPointIdentifier iId, unsigned int iDegree, OutputCoordRepType iWeight, RowType &ioRow)

	LaplacianDeformationQuadEdgeMeshFilter ()

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

void	SolveLinearSystems (const MatrixType &iM, const VectorType &iBx, const VectorType &iBy, const VectorType &iBz, VectorType &oX, VectorType &oY, VectorType &oZ)

virtual	~LaplacianDeformationQuadEdgeMeshFilter ()

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	GenerateData ()

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
AreaType	m_AreaComputationType

CoefficientMapType	m_CoefficientMap

CoefficientsComputationType *	m_CoefficientsMethod

ConstraintMapType	m_Constraints

OutputMapPointIdentifier	m_InternalMap

AreaMapType	m_MixedAreaMap

unsigned int	m_Order

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
	LaplacianDeformationQuadEdgeMeshFilter (const Self &)

void	operator= (const Self &)

Additional Inherited Members
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 ()

Member Typedef Documentation

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef AreaMapType::const_iterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::AreaMapConstIterator

protected

Definition at line 204 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef itksys::hash_map< OutputPointIdentifier, OutputCoordRepType > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::AreaMapType

protected

Definition at line 203 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef CoefficientMapType::const_iterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::CoefficientMapConstIterator

protected

Definition at line 201 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef itksys::hash_map< OutputQEPrimal*, OutputCoordRepType, HashOutputQEPrimal > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::CoefficientMapType

protected

Definition at line 200 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef MatrixCoefficients< OutputMeshType > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::CoefficientsComputationType

Definition at line 127 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef SmartPointer< const Self > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ConstPointer

Definition at line 101 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef ConstraintMapType::const_iterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ConstraintMapConstIterator

protected

Definition at line 190 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef itksys::hash_map< OutputPointIdentifier, OutputVectorType > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ConstraintMapType

protected

Definition at line 189 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef TInputMesh itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::InputMeshType

Input types.

Definition at line 106 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef Superclass::InputPointType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::InputPointType

Definition at line 107 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef SolverTraits::MatrixType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::MatrixType

Definition at line 124 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef Superclass::OutputCoordRepType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputCoordRepType

Definition at line 113 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef itksys::hash_map< OutputPointIdentifier, OutputPointIdentifier > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMapPointIdentifier

protected

Definition at line 185 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef OutputMapPointIdentifier::const_iterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMapPointIdentifierConstIterator

protected

Definition at line 187 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef OutputMapPointIdentifier::iterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMapPointIdentifierIterator

protected

Definition at line 186 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef TOutputMesh itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMeshType

Output types.

Definition at line 112 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef Superclass::OutputPointIdentifier itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputPointIdentifier

Definition at line 115 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef Superclass::OutputPointType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputPointType

Definition at line 114 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef Superclass::OutputQEIterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputQEIterator

Definition at line 118 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef Superclass::OutputQEPrimal itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputQEPrimal

Definition at line 116 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef Superclass::OutputVectorType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputVectorType

Definition at line 117 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef SmartPointer< Self > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::Pointer

Definition at line 100 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef RowType::const_iterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::RowConstIterator

protected

Definition at line 208 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef RowType::iterator itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::RowIterator

protected

Definition at line 207 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef itksys::hash_map< OutputPointIdentifier, OutputCoordRepType > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::RowType

protected

Definition at line 206 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef LaplacianDeformationQuadEdgeMeshFilter itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::Self

Basic types.

Definition at line 98 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef TSolverTraits itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SolverTraits

Definition at line 122 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::Superclass

Definition at line 99 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef TriangleHelper< OutputPointType > itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::TriangleType

Definition at line 137 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef SolverTraits::ValueType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ValueType

Definition at line 123 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

typedef SolverTraits::VectorType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::VectorType

Definition at line 125 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

Member Enumeration Documentation

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

enum itk::LaplacianDeformationQuadEdgeMeshFilter::AreaType

Enumerator
NONE	Do not use any area information
MIXEDAREA	Use a mixed area

Definition at line 158 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

Constructor & Destructor Documentation

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::LaplacianDeformationQuadEdgeMeshFilter ( )

protected

Default constructor

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

virtual itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::~LaplacianDeformationQuadEdgeMeshFilter ( )

inlineprotectedvirtual

Definition at line 183 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::LaplacianDeformationQuadEdgeMeshFilter ( const Self & )

private

Member Function Documentation

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ClearConstraints ( )

Clear all constraints added by the means of SetConstrainedNode or SetDisplacement.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ComputeLaplacianMatrix ( MatrixType & ioL )

protected

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

OutputCoordRepType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ComputeMixedArea	(	OutputQEPrimal *	iQE1,
		OutputQEPrimal *	iQE2
	)

protected

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

OutputCoordRepType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ComputeMixedAreaForGivenVertex ( OutputPointIdentifier vId )

protected

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

virtual void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ComputeVertexIdMapping ( )

protectedvirtual

Reimplemented in itk::LaplacianDeformationQuadEdgeMeshFilterWithSoftConstraints< TInputMesh, TOutputMesh, TSolverTraits >, and itk::LaplacianDeformationQuadEdgeMeshFilterWithHardConstraints< TInputMesh, TOutputMesh, TSolverTraits >.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::FillMatrix	(	MatrixType &	iM,
		VectorType &	iBx,
		VectorType &	iBy,
		VectorType &	iBz
	)

protected

Fill matrix iM and vectors Bx, m_By and m_Bz depending on if one vertex is on the border or not.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::FillMatrixRow	(	OutputPointIdentifier	iId,
		unsigned int	iDegree,
		OutputCoordRepType	iWeight,
		RowType &	ioRow
	)

protected

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

virtual AreaType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::GetAreaComputationType ( )

virtual

Set/Get the area normalization type

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

bool itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::GetDisplacement	(	OutputPointIdentifier	vId,
		OutputVectorType &	oV
	)		const

Get the displacement vector oV for the vertex vId. Returns true if the vertex vId is a constraint, else false.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

virtual const char* itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >.

Reimplemented in itk::LaplacianDeformationQuadEdgeMeshFilterWithHardConstraints< TInputMesh, TOutputMesh, TSolverTraits >, and itk::LaplacianDeformationQuadEdgeMeshFilterWithSoftConstraints< TInputMesh, TOutputMesh, TSolverTraits >.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

virtual unsigned int itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::GetOrder ( )

virtual

Set/Get the Laplacian order

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::operator= ( const Self & )

private

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::MeshSource< TOutputMesh >.

Reimplemented in itk::LaplacianDeformationQuadEdgeMeshFilterWithSoftConstraints< TInputMesh, TOutputMesh, TSolverTraits >, and itk::LaplacianDeformationQuadEdgeMeshFilterWithHardConstraints< TInputMesh, TOutputMesh, TSolverTraits >.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

virtual void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SetAreaComputationType ( AreaType _arg )

virtual

Set/Get the area normalization type

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SetCoefficientsMethod ( CoefficientsComputationType * iMethod )

inline

Set the coefficient method to compute the Laplacian matrix of the input mesh

Definition at line 130 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

References itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_CoefficientsMethod, and itk::Object::Modified().

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SetConstrainedNode	(	OutputPointIdentifier	vId,
		const OutputPointType &	iP
	)

Constrain vertex vId to the given location iP

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SetDisplacement	(	OutputPointIdentifier	vId,
		const OutputVectorType &	iV
	)

Set the displacement vector iV for the vertex vId

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

virtual void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SetOrder ( unsigned int _arg )

virtual

Set/Get the Laplacian order

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

void itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SolveLinearSystems	(	const MatrixType &	iM,
		const VectorType &	iBx,
		const VectorType &	iBy,
		const VectorType &	iBz,
		VectorType &	oX,
		VectorType &	oY,
		VectorType &	oZ
	)

protected

Solve linears systems : $iM \cdot oX = iBx$ and $iM \cdot oY = iBy$ and $iM \cdot oZ = iBz$ .

Parameters

[in]	iM
[in]	iBx
[in]	iBy
[in]	iBz
[out]	oX
[out]	oY
[out]	oZ

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::typedef ( Concept::SameDimension< InputPointDimension, OutputPointDimension > )

This class requires SameDimensionCheck1 in the form of ( Concept::SameDimension< InputPointDimension, OutputPointDimension > )

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::typedef ( Concept::SameDimension< InputPointDimension, 3 > )

This class requires SameDimensionCheck2 in the form of ( Concept::SameDimension< InputPointDimension, 3 > )

Member Data Documentation

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

const unsigned int itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::InputPointDimension = InputMeshType::PointDimension

static

Definition at line 109 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

AreaType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_AreaComputationType

protected

Definition at line 218 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

CoefficientMapType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_CoefficientMap

protected

Definition at line 212 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

CoefficientsComputationType* itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_CoefficientsMethod

protected

Definition at line 215 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

Referenced by itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SetCoefficientsMethod().

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

ConstraintMapType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_Constraints

protected

Definition at line 211 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

OutputMapPointIdentifier itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_InternalMap

protected

Definition at line 210 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

AreaMapType itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_MixedAreaMap

protected

Definition at line 213 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

unsigned int itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_Order

protected

Definition at line 217 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

const unsigned int itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputPointDimension = OutputMeshType::PointDimension

static

Definition at line 120 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

The documentation for this class was generated from the following file:

itkLaplacianDeformationQuadEdgeMeshFilter.h

Detailed Description

template<class TInputMesh, class TOutputMesh, class TSolverTraits> class itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >

Classes

Public Types

Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

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Additional Inherited Members

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class TInputMesh, class TOutputMesh, class TSolverTraits>
class itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >