#include <itkLaplacianDeformationQuadEdgeMeshFilter.h>

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 https://doi.org/10.54294/s91axg

Definition at line 116 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

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

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

Classes
struct	HashOutputQEPrimal

struct	Triple

Public Types
using	AreaEnum = LaplacianDeformationQuadEdgeMeshFilterEnums::Area

using	CoefficientsComputationType = MatrixCoefficients< OutputMeshType >

using	ConstPointer = SmartPointer< const Self >

using	InputMeshType = TInputMesh

using	MatrixType = typename SolverTraits::MatrixType

using	OutputMeshType = TOutputMesh

using	Pointer = SmartPointer< Self >

using	Self = LaplacianDeformationQuadEdgeMeshFilter

using	SolverTraits = TSolverTraits

using	Superclass = QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >

using	TriangleType = TriangleHelper< OutputPointType >

using	ValueType = typename SolverTraits::ValueType

using	VectorType = typename SolverTraits::VectorType

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

using	InputCellDataContainer = typename InputMeshType::CellDataContainer

using	InputCellsContainerConstIterator = typename InputMeshType::CellsContainerConstIterator

using	InputCellsContainerConstPointer = typename InputMeshType::CellsContainerConstPointer

using	InputCellTraits = typename InputMeshType::CellTraits

using	InputCoordRepType = typename InputMeshType::CoordRepType

using	InputEdgeCellType = typename InputMeshType::EdgeCellType

using	InputMeshConstPointer = typename InputMeshType::ConstPointer

using	InputMeshPointer = typename InputMeshType::Pointer

using	InputMeshType = TInputMesh

using	InputPointDataContainer = typename InputMeshType::PointDataContainer

using	InputPointDataContainerConstPointer = typename InputPointDataContainer::ConstPointer

using	InputPointIdentifier = typename InputMeshType::PointIdentifier

using	InputPointIdList = typename InputMeshType::PointIdList

using	InputPointsContainerConstIterator = typename InputMeshType::PointsContainerConstIterator

using	InputPointsContainerConstPointer = typename InputMeshType::PointsContainerConstPointer

using	InputPointsIdInternalIterator = typename InputCellTraits::PointIdInternalIterator

using	InputPointType = typename InputMeshType::PointType

using	InputPolygonCellType = typename InputMeshType::PolygonCellType

using	InputQEIterator = typename InputQEPrimal::IteratorGeom

using	InputQEPrimal = typename InputMeshType::QEPrimal

using	InputVectorType = typename InputMeshType::VectorType

using	OutputCellDataContainer = typename OutputMeshType::CellDataContainer

using	OutputCoordRepType = typename OutputMeshType::CoordRepType

using	OutputMeshConstPointer = typename OutputMeshType::ConstPointer

using	OutputMeshPointer = typename OutputMeshType::Pointer

using	OutputMeshType = TOutputMesh

using	OutputPointDataContainer = typename OutputMeshType::PointDataContainer

using	OutputPointIdentifier = typename OutputMeshType::PointIdentifier

using	OutputPointsContainerConstPointer = typename OutputMeshType::PointsContainerConstPointer

using	OutputPointsContainerIterator = typename OutputMeshType::PointsContainerIterator

using	OutputPointsContainerPointer = typename OutputMeshType::PointsContainerPointer

using	OutputPointType = typename OutputMeshType::PointType

using	OutputQEIterator = typename OutputQEPrimal::IteratorGeom

using	OutputQEPrimal = typename OutputMeshType::QEPrimal

using	OutputVectorType = typename OutputMeshType::VectorType

using	Pointer = SmartPointer< Self >

using	Self = QuadEdgeMeshToQuadEdgeMeshFilter

using	Superclass = MeshToMeshFilter< TInputMesh, TOutputMesh >

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

using	InputMeshPointer = typename InputMeshType::Pointer

using	InputMeshType = TInputMesh

using	OutputMeshPointer = typename OutputMeshType::Pointer

using	OutputMeshType = TOutputMesh

using	Pointer = SmartPointer< Self >

using	Self = MeshToMeshFilter

using	Superclass = MeshSource< TOutputMesh >

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

using	DataObjectIdentifierType = Superclass::DataObjectIdentifierType

using	DataObjectPointer = DataObject::Pointer

using	OutputMeshPointer = typename OutputMeshType::Pointer

using	OutputMeshType = TOutputMesh

using	Pointer = SmartPointer< Self >

using	Self = MeshSource

using	Superclass = ProcessObject

using	DataObjectPointerArraySizeType = ProcessObject::DataObjectPointerArraySizeType

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

using	DataObjectIdentifierType = DataObject::DataObjectIdentifierType

using	DataObjectPointer = DataObject::Pointer

using	DataObjectPointerArray = std::vector< DataObjectPointer >

using	DataObjectPointerArraySizeType = DataObjectPointerArray::size_type

using	MultiThreaderType = MultiThreaderBase

using	NameArray = std::vector< DataObjectIdentifierType >

using	Pointer = SmartPointer< Self >

using	Self = ProcessObject

using	Superclass = Object

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

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

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

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
void	ClearConstraints ()

bool	GetDisplacement (OutputPointIdentifier vId, OutputVectorType &oV) const

const char *	GetNameOfClass () const override

void	SetConstrainedNode (OutputPointIdentifier vId, const OutputPointType &iP)

void	SetDisplacement (OutputPointIdentifier vId, const OutputVectorType &iV)


void	SetCoefficientsMethod (CoefficientsComputationType *iMethod)


virtual void	SetOrder (unsigned int _arg)

virtual unsigned int	GetOrder ()


virtual void	SetAreaComputationType (const AreaEnum _arg)

virtual AreaEnum	GetAreaComputationType ()

const char *	GetNameOfClass () const override

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

const InputMeshType *	GetInput (unsigned int idx) const

const char *	GetNameOfClass () const override

void	SetInput (const InputMeshType *input)

Public Member Functions inherited from itk::MeshSource< TOutputMesh >
const char *	GetNameOfClass () const override

OutputMeshType *	GetOutput ()

OutputMeshType *	GetOutput (unsigned int idx)

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

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

virtual void	GraftOutput (DataObject *graft)

void	SetOutput (TOutputMesh *output)

DataObjectPointer	MakeOutput (DataObjectPointerArraySizeType idx) override

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

virtual void	EnlargeOutputRequestedRegion (DataObject *)

virtual const bool &	GetAbortGenerateData () const

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

NameArray	GetInputNames () const

DataObjectPointerArray	GetInputs ()

MultiThreaderType *	GetMultiThreader () const

const char *	GetNameOfClass () const override

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const

NameArray	GetOutputNames () const

DataObjectPointerArray	GetOutputs ()

virtual float	GetProgress () const

NameArray	GetRequiredInputNames () const

bool	HasInput (const DataObjectIdentifierType &key) const

bool	HasOutput (const DataObjectIdentifierType &key) const

void	IncrementProgress (float increment)

virtual DataObjectPointer	MakeOutput (const DataObjectIdentifierType &)

virtual DataObjectPointer	MakeOutput (DataObjectPointerArraySizeType idx)

virtual void	PrepareOutputs ()

virtual void	PropagateRequestedRegion (DataObject *output)

virtual void	ResetPipeline ()

virtual void	SetAbortGenerateData (bool _arg)

void	SetMultiThreader (MultiThreaderType *threader)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (float progress)

virtual void	SetReleaseDataFlag (bool val)

virtual bool	GetReleaseDataFlag () const

void	ReleaseDataFlagOn ()

void	ReleaseDataFlagOff ()

virtual void	SetReleaseDataBeforeUpdateFlag (bool _arg)

virtual const bool &	GetReleaseDataBeforeUpdateFlag () const

virtual void	ReleaseDataBeforeUpdateFlagOn ()

virtual void	SetNumberOfWorkUnits (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfWorkUnits () const

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

unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const

LightObject::Pointer	CreateAnother () const override

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

const char *	GetNameOfClass () const override

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag) const

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexcept override

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
Pointer	Clone () const

virtual Pointer	CreateAnother () const

virtual void	Delete ()

virtual const char *	GetNameOfClass () const

virtual int	GetReferenceCount () const

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

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const noexcept

Static Public Attributes
static constexpr unsigned int	InputPointDimension = InputMeshType::PointDimension

static constexpr unsigned int	OutputPointDimension = OutputMeshType::PointDimension

Protected Types
using	AreaMapConstIterator = typename AreaMapType::const_iterator

using	AreaMapType = std::unordered_map< OutputPointIdentifier, OutputCoordRepType >

using	CoefficientMapConstIterator = typename CoefficientMapType::const_iterator

using	CoefficientMapType = std::unordered_map< OutputQEPrimal *, OutputCoordRepType, HashOutputQEPrimal >

using	ConstraintMapConstIterator = typename ConstraintMapType::const_iterator

using	ConstraintMapType = std::unordered_map< OutputPointIdentifier, OutputVectorType >

using	OutputMapPointIdentifier = std::unordered_map< OutputPointIdentifier, OutputPointIdentifier >

using	OutputMapPointIdentifierConstIterator = typename OutputMapPointIdentifier::const_iterator

using	OutputMapPointIdentifierIterator = typename OutputMapPointIdentifier::iterator

using	RowConstIterator = typename RowType::const_iterator

using	RowIterator = typename RowType::iterator

using	RowType = std::unordered_map< OutputPointIdentifier, OutputCoordRepType >

Protected Member Functions
void	ComputeLaplacianMatrix (MatrixType &ioL)

OutputCoordRepType	ComputeMixedArea (OutputQEPrimal iQE1, OutputQEPrimal iQE2)

OutputCoordRepType	ComputeMixedAreaForGivenVertex (OutputPointIdentifier iId)

virtual void	ComputeVertexIdMapping ()

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

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

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)


	LaplacianDeformationQuadEdgeMeshFilter ()

	~LaplacianDeformationQuadEdgeMeshFilter () override=default

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 ()

	~QuadEdgeMeshToQuadEdgeMeshFilter () override=default

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

void	CopyInputMeshToOutputMeshCellLinks ()

void	CopyInputMeshToOutputMeshCells ()

void	CopyInputMeshToOutputMeshPointData ()

void	CopyInputMeshToOutputMeshPoints ()

	MeshToMeshFilter ()

	~MeshToMeshFilter () override=default

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

	MeshSource ()

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

	~MeshSource () override=default

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

void	AddOptionalInputName (const DataObjectIdentifierType &)

void	AddOptionalInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	AddOutput (DataObject *output)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateData ()

virtual void	GenerateInputRequestedRegion ()

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

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 ()

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

	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 idx, DataObject *input)

virtual void	SetNthOutput (DataObjectPointerArraySizeType idx, DataObject *output)

void	SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)

void	SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

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

virtual void	SetPrimaryInput (DataObject *object)

virtual void	SetPrimaryOutput (DataObject *object)

void	SetRequiredInputNames (const NameArray &)

virtual void	VerifyInputInformation () const

virtual void	VerifyPreconditions () const

	~ProcessObject () override

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 () const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName () const

DataObject *	GetOutput (DataObjectPointerArraySizeType i)

const DataObject *	GetOutput (DataObjectPointerArraySizeType i) const

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () const

virtual bool	GetThreaderUpdateProgress () const

virtual void	ThreaderUpdateProgressOn ()

virtual void	SetThreaderUpdateProgress (bool arg)

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

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

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

	~Object () override

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

	LightObject ()

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

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

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

virtual	~LightObject ()

Protected Attributes
AreaEnum	m_AreaComputationType { AreaEnum::NONE }

CoefficientMapType	m_CoefficientMap {}

CoefficientsComputationType *	m_CoefficientsMethod {}

ConstraintMapType	m_Constraints {}

OutputMapPointIdentifier	m_InternalMap {}

AreaMapType	m_MixedAreaMap {}

unsigned int	m_Order { 1 }

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime {}

bool	m_Updating {}

Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount {}

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 val)

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

static Pointer	New ()

Static Protected Member Functions inherited from itk::ProcessObject
template<typename TSourceObject >
static void	MakeRequiredOutputs (TSourceObject &sourceObject, const DataObjectPointerArraySizeType numberOfRequiredOutputs)

static constexpr float	progressFixedToFloat (uint32_t fixed)

static uint32_t	progressFloatToFixed (float f)

Member Typedef Documentation

◆ AreaEnum

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::AreaEnum = LaplacianDeformationQuadEdgeMeshFilterEnums::Area

Definition at line 188 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ AreaMapConstIterator

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::AreaMapConstIterator = typename AreaMapType::const_iterator

protected

Definition at line 231 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ AreaMapType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::AreaMapType = std::unordered_map<OutputPointIdentifier, OutputCoordRepType>

protected

Definition at line 230 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ CoefficientMapConstIterator

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::CoefficientMapConstIterator = typename CoefficientMapType::const_iterator

protected

Definition at line 228 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ CoefficientMapType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::CoefficientMapType = std::unordered_map<OutputQEPrimal *, OutputCoordRepType, HashOutputQEPrimal>

protected

Definition at line 227 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ CoefficientsComputationType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

Definition at line 152 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ ConstPointer

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

Definition at line 126 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ ConstraintMapConstIterator

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ConstraintMapConstIterator = typename ConstraintMapType::const_iterator

protected

Definition at line 216 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ ConstraintMapType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ConstraintMapType = std::unordered_map<OutputPointIdentifier, OutputVectorType>

protected

Definition at line 215 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ InputMeshType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::InputMeshType = TInputMesh

Input types.

Definition at line 131 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ MatrixType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::MatrixType = typename SolverTraits::MatrixType

Definition at line 149 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ OutputMapPointIdentifier

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMapPointIdentifier = std::unordered_map<OutputPointIdentifier, OutputPointIdentifier>

protected

Definition at line 211 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ OutputMapPointIdentifierConstIterator

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMapPointIdentifierConstIterator = typename OutputMapPointIdentifier::const_iterator

protected

Definition at line 213 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ OutputMapPointIdentifierIterator

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMapPointIdentifierIterator = typename OutputMapPointIdentifier::iterator

protected

Definition at line 212 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ OutputMeshType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::OutputMeshType = TOutputMesh

Output types.

Definition at line 137 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ Pointer

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

Definition at line 125 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ RowConstIterator

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::RowConstIterator = typename RowType::const_iterator

protected

Definition at line 235 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ RowIterator

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::RowIterator = typename RowType::iterator

protected

Definition at line 234 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ RowType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::RowType = std::unordered_map<OutputPointIdentifier, OutputCoordRepType>

protected

Definition at line 233 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ Self

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::Self = LaplacianDeformationQuadEdgeMeshFilter

Basic types.

Definition at line 123 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ SolverTraits

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::SolverTraits = TSolverTraits

Definition at line 147 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ Superclass

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::Superclass = QuadEdgeMeshToQuadEdgeMeshFilter<TInputMesh, TOutputMesh>

Definition at line 124 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ TriangleType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

Definition at line 163 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ ValueType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::ValueType = typename SolverTraits::ValueType

Definition at line 148 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ VectorType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

using itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::VectorType = typename SolverTraits::VectorType

Definition at line 150 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

Constructor & Destructor Documentation

◆ LaplacianDeformationQuadEdgeMeshFilter()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

Default constructor

◆ ~LaplacianDeformationQuadEdgeMeshFilter()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

overrideprotecteddefault

Default constructor

Member Function Documentation

◆ ClearConstraints()

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.

◆ ComputeLaplacianMatrix()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

◆ ComputeMixedArea()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

◆ ComputeMixedAreaForGivenVertex()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

◆ ComputeVertexIdMapping()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protectedvirtual

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

◆ FillMatrix()

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.

◆ FillMatrixRow()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

◆ GetAreaComputationType()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

virtual

Set/Get the area normalization type

◆ GetDisplacement()

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.

◆ GetNameOfClass()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

overridevirtual

See also: LightObject::GetNameOfClass()

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

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

◆ GetOrder()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

virtual

Set/Get the Laplacian order

◆ PrintSelf()

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

◆ SetAreaComputationType()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

virtual

Set/Get the area normalization type

◆ SetCoefficientsMethod()

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 156 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ SetConstrainedNode()

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

◆ SetDisplacement()

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

◆ SetOrder()

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

virtual

Set/Get the Laplacian order

◆ SolveLinearSystems()

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 linear 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

Member Data Documentation

◆ InputPointDimension

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

staticconstexpr

Definition at line 134 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ m_AreaComputationType

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

AreaEnum itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_AreaComputationType { AreaEnum::NONE }

protected

Definition at line 245 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ m_CoefficientMap

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

Definition at line 239 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ m_CoefficientsMethod

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

Definition at line 242 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ m_Constraints

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

Definition at line 238 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ m_InternalMap

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

Definition at line 237 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ m_MixedAreaMap

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

protected

Definition at line 240 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ m_Order

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

unsigned int itk::LaplacianDeformationQuadEdgeMeshFilter< TInputMesh, TOutputMesh, TSolverTraits >::m_Order { 1 }

protected

Definition at line 244 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

◆ OutputPointDimension

template<class TInputMesh , class TOutputMesh , class TSolverTraits >

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

staticconstexpr

Definition at line 145 of file itkLaplacianDeformationQuadEdgeMeshFilter.h.

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

itkLaplacianDeformationQuadEdgeMeshFilter.h

Detailed Description

Classes

Public Types

Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Typedef Documentation

◆ AreaEnum

◆ AreaMapConstIterator

◆ AreaMapType

◆ CoefficientMapConstIterator

◆ CoefficientMapType

◆ CoefficientsComputationType

◆ ConstPointer

◆ ConstraintMapConstIterator

◆ ConstraintMapType

◆ InputMeshType

◆ MatrixType

◆ OutputMapPointIdentifier

◆ OutputMapPointIdentifierConstIterator

◆ OutputMapPointIdentifierIterator

◆ OutputMeshType

◆ Pointer

◆ RowConstIterator

◆ RowIterator

◆ RowType

◆ Self

◆ SolverTraits

◆ Superclass

◆ TriangleType

◆ ValueType

◆ VectorType

Constructor & Destructor Documentation

◆ LaplacianDeformationQuadEdgeMeshFilter()

◆ ~LaplacianDeformationQuadEdgeMeshFilter()

Member Function Documentation

◆ ClearConstraints()

◆ ComputeLaplacianMatrix()

◆ ComputeMixedArea()

◆ ComputeMixedAreaForGivenVertex()

◆ ComputeVertexIdMapping()

◆ FillMatrix()

◆ FillMatrixRow()

◆ GetAreaComputationType()

◆ GetDisplacement()

◆ GetNameOfClass()

◆ GetOrder()

◆ PrintSelf()

◆ SetAreaComputationType()

◆ SetCoefficientsMethod()

◆ SetConstrainedNode()

◆ SetDisplacement()

◆ SetOrder()

◆ SolveLinearSystems()

Member Data Documentation

◆ InputPointDimension

◆ m_AreaComputationType

◆ m_CoefficientMap

◆ m_CoefficientsMethod

◆ m_Constraints

◆ m_InternalMap

◆ m_MixedAreaMap

◆ m_Order

◆ OutputPointDimension