#include <itkFEMSolver.h>

Inheritance diagram for itk::fem::Solver< VDimension >:

Collaboration diagram for itk::fem::Solver< VDimension >:

Detailed Description

template<unsigned int VDimension = 3>
class itk::fem::Solver< VDimension >

FEM solver used to generate a solution for a FE formulation.

This class will solve the FE formulation provided in an FEMObject. The FEMObject contains the Elements, Material properties, Loads, and boundary conditions for the FE problem. The user can define properties of the solver including the time step using the SetTimeStep() method and the numerical solver via the SetLinearSystemWrapper() method. The output of the filter is the deformed FEMObject that also includes all of the loads and boundary conditions.

Inputs and Usage: The standard way to setup a FE problem in ITK is to use the following approach.

*       typedef itk::fem::FEMObject<3>    FEMObjectType;
*       FEMObjectObjectType::Pointer fem = FEMObjectObjectType::New();
*       ...
*       typedef itk::fem::Solver<3>    FEMSolverType;
*       FEMSolverType::Pointer solver = FEMSolverType::New();
*
*       solver->SetInput( fem );
*       solver->Update( );
*       FEMSolverType::Pointer defem = solver->GetOutput( );
*   ...
* 

The solution generated by the SOlver can also be acquired using the GetSolution() method. The FEM can be saved in a file using the spatial objects and the Meta I/O library.

Definition at line 69 of file itkFEMSolver.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef DataObject::Pointer	DataObjectPointer

typedef Element::ArrayType	ElementArray

typedef FEMObjectType::ConstPointer	FEMObjectConstPointer

typedef FEMObjectType::Pointer	FEMObjectPointer

typedef itk::fem::FEMObject < VDimension >	FEMObjectType

typedef Element::Float	Float

typedef InterpolationGridType::DirectionType	InterpolationGridDirectionType

typedef InterpolationGridType::IndexType	InterpolationGridIndexType

typedef InterpolationGridType::Pointer	InterpolationGridPointerType

typedef InterpolationGridType::PointType	InterpolationGridPointType

typedef InterpolationGridType::RegionType	InterpolationGridRegionType

typedef InterpolationGridType::SizeType	InterpolationGridSizeType

typedef InterpolationGridType::SpacingType	InterpolationGridSpacingType

typedef itk::Image < Element::ConstPointer, VDimension >	InterpolationGridType

typedef Load::ArrayType	LoadArray

typedef Material::ArrayType	MaterialArray

typedef Element::Node::ArrayType	NodeArray

typedef SmartPointer< Self >	Pointer

typedef Solver	Self

typedef ProcessObject	Superclass

typedef Element::VectorType	VectorType

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

Float	GetDeformationEnergy (unsigned int SolutionIndex=0)

virtual InterpolationGridDirectionType	GetDirection ()

const Element *	GetElementAtPoint (const VectorType &pt) const

FEMObjectType *	GetInput ()

FEMObjectType *	GetInput (unsigned int idx)

LinearSystemWrapper::Pointer	GetLinearSystemWrapper ()

virtual const char *	GetNameOfClass () const

virtual InterpolationGridPointType	GetOrigin ()

virtual InterpolationGridRegionType	GetRegion ()

Float	GetSolution (unsigned int i, unsigned int which=0)

virtual InterpolationGridSpacingType	GetSpacing ()

virtual Float	GetTimeStep () const

void	InitializeInterpolationGrid (const InterpolationGridSizeType &size, const InterpolationGridPointType &bb1, const InterpolationGridPointType &bb2)

virtual void	SetDirection (InterpolationGridDirectionType _arg)

virtual void	SetInput (FEMObjectType *fem)

virtual void	SetInput (unsigned int, FEMObjectType *fem)

void	SetLinearSystemWrapper (LinearSystemWrapper::Pointer ls)

virtual void	SetOrigin (InterpolationGridPointType _arg)

virtual void	SetRegion (InterpolationGridRegionType _arg)

virtual void	SetSpacing (InterpolationGridSpacingType _arg)

virtual void	SetTimeStep (Float dt)

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::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	FEMDimension = VDimension

static const unsigned int	MaxDimensions = 3

typedef ProcessObject::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType

unsigned int	m_NGFN

unsigned int	m_NMFC

LinearSystemWrapper::Pointer	m_ls

LinearSystemWrapperVNL	m_lsVNL

InterpolationGridPointerType	m_InterpolationGrid

FEMObjectPointer	m_FEMObject

InterpolationGridRegionType	m_Region

InterpolationGridPointType	m_Origin

InterpolationGridSpacingType	m_Spacing

InterpolationGridDirectionType	m_Direction

void	InitializeInterpolationGrid (const InterpolationGridSizeType &size)

void	InitializeInterpolationGrid (const InterpolationGridRegionType &region, const InterpolationGridPointType &origin, const InterpolationGridSpacingType &spacing, const InterpolationGridDirectionType &direction)

const InterpolationGridType *	GetInterpolationGrid (void) const

virtual DataObjectPointer	MakeOutput (DataObjectPointerArraySizeType) override

FEMObjectType *	GetOutput ()

FEMObjectType *	GetOutput (unsigned int idx)

	Solver ()

virtual	~Solver ()

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

virtual void	GenerateData () override

void	AssembleK ()

virtual void	InitializeMatrixForAssembly (unsigned int N)

virtual void	FinalizeMatrixAfterAssembly (void)

virtual void	AssembleElementMatrix (Element::Pointer e)

virtual void	AssembleLandmarkContribution (Element::ConstPointer e, float)

void	ApplyBC (int dim=0, unsigned int matrix=0)

void	AssembleF (int dim=0)

void	DecomposeK ()

virtual void	RunSolver ()

void	UpdateDisplacements ()

void	FillInterpolationGrid ()

virtual void	InitializeLinearSystemWrapper ()

	Solver (const Self &)

void	operator= (const Self &)

Additional Inherited Members
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	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

	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 inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

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

Member Typedef Documentation

template<unsigned int VDimension = 3>

typedef SmartPointer<const Self> itk::fem::Solver< VDimension >::ConstPointer

Definition at line 77 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef DataObject::Pointer itk::fem::Solver< VDimension >::DataObjectPointer

Definition at line 92 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef ProcessObject::DataObjectPointerArraySizeType itk::fem::Solver< VDimension >::DataObjectPointerArraySizeType

Make a DataObject of the correct type to be used as the specified output.

Definition at line 260 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::ArrayType itk::fem::Solver< VDimension >::ElementArray

Definition at line 98 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef FEMObjectType::ConstPointer itk::fem::Solver< VDimension >::FEMObjectConstPointer

Definition at line 91 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef FEMObjectType::Pointer itk::fem::Solver< VDimension >::FEMObjectPointer

Definition at line 90 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef itk::fem::FEMObject<VDimension> itk::fem::Solver< VDimension >::FEMObjectType

Smart Pointer type to a DataObject.

Definition at line 89 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::Float itk::fem::Solver< VDimension >::Float

Some convenient typedefs.

Definition at line 95 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::DirectionType itk::fem::Solver< VDimension >::InterpolationGridDirectionType

Definition at line 112 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::IndexType itk::fem::Solver< VDimension >::InterpolationGridIndexType

Definition at line 111 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::Pointer itk::fem::Solver< VDimension >::InterpolationGridPointerType

Definition at line 106 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::PointType itk::fem::Solver< VDimension >::InterpolationGridPointType

Definition at line 109 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::RegionType itk::fem::Solver< VDimension >::InterpolationGridRegionType

Definition at line 108 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::SizeType itk::fem::Solver< VDimension >::InterpolationGridSizeType

Definition at line 107 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::SpacingType itk::fem::Solver< VDimension >::InterpolationGridSpacingType

Definition at line 110 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef itk::Image<Element::ConstPointer, VDimension> itk::fem::Solver< VDimension >::InterpolationGridType

Type used to store interpolation grid

Definition at line 105 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Load::ArrayType itk::fem::Solver< VDimension >::LoadArray

Definition at line 99 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Material::ArrayType itk::fem::Solver< VDimension >::MaterialArray

Definition at line 100 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::Node::ArrayType itk::fem::Solver< VDimension >::NodeArray

Definition at line 97 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef SmartPointer<Self> itk::fem::Solver< VDimension >::Pointer

Definition at line 76 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Solver itk::fem::Solver< VDimension >::Self

Standard class typedefs.

Definition at line 74 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef ProcessObject itk::fem::Solver< VDimension >::Superclass

Definition at line 75 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::VectorType itk::fem::Solver< VDimension >::VectorType

Definition at line 96 of file itkFEMSolver.h.

Constructor & Destructor Documentation

template<unsigned int VDimension = 3>

itk::fem::Solver< VDimension >::Solver ( )

protected

Make a DataObject of the correct type to be used as the specified output.

template<unsigned int VDimension = 3>

virtual itk::fem::Solver< VDimension >::~Solver ( )

protectedvirtual

Make a DataObject of the correct type to be used as the specified output.

template<unsigned int VDimension = 3>

itk::fem::Solver< VDimension >::Solver ( const Self & )

private

Make a DataObject of the correct type to be used as the specified output.

Member Function Documentation

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::ApplyBC	(	int	dim = `0`,
		unsigned int	matrix = `0`
	)

protected

Apply the boundary conditions to the system.

Note: This function must be called after AssembleK().

Parameters

matrix	Index of a matrix, to which the BCs should be applied (master stiffness matrix). Normally this is zero, but in derived classes many matrices may be used and this index must be specified.
dim	This is a parameter that can be passed to the function and is normally used with isotropic elements to specify the dimension in which the DOF is fixed.

Referenced by itk::fem::Solver< TDimension >::FinalizeMatrixAfterAssembly().

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::AssembleElementMatrix ( Element::Pointer e )

protectedvirtual

Copy the element stiffness matrix into the correct position in the master stiffess matrix. Since more complex Solver classes may need to assemble many matrices and may also do some funky stuff to them, this function is virtual and can be overriden in a derived solver class.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::AssembleF ( int dim = 0 )

protected

Assemble the master force vector.

Parameters

dim	This is a parameter that can be passed to the function and is normally used with isotropic elements to specify the dimension for which the master force vector should be assembled.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::AssembleK ( )

protected

System solver functions. Call all six functions below (in listed order) to solve system. Assign a global freedom numbers to each DOF in a system. This must be done before any other solve function can be called. Assemble the master stiffness matrix (also apply the MFCs to K)

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::AssembleLandmarkContribution	(	Element::ConstPointer	e,
		float
	)

protectedvirtual

Add the contribution of the landmark-containing elements to the correct position in the master stiffess matrix. Since more complex Solver classes may need to assemble many matrices and may also do some funky stuff to them, this function is virtual and can be overriden in a derived solver class.

template<unsigned int VDimension = 3>

virtual::itk::LightObject::Pointer itk::fem::Solver< VDimension >::CreateAnother ( ) const

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::DecomposeK ( )

protected

Decompose matrix using svd, qr, whatever ... if needed

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::FillInterpolationGrid ( )

protected

Fill the interpolation grid based on the current deformed grid

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::FinalizeMatrixAfterAssembly ( void )

inlineprotectedvirtual

This function is called after the assebly has been completed. In this class it is only used to apply the BCs. You may however use it to perform other stuff in derived solver classes.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

Definition at line 319 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::GenerateData ( )

overrideprotectedvirtual

Method invoked by the pipeline in order to trigger the computation of the registration.

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, itk::fem::RobustSolver< VDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

Float itk::fem::Solver< VDimension >::GetDeformationEnergy ( unsigned int SolutionIndex = 0 )

Get the total deformation energy using the chosen solution

template<unsigned int VDimension = 3>

virtual InterpolationGridDirectionType itk::fem::Solver< VDimension >::GetDirection ( )

virtual

template<unsigned int VDimension = 3>

const Element* itk::fem::Solver< VDimension >::GetElementAtPoint ( const VectorType & pt ) const

Returns the pointer to the element which contains global point pt.

Parameters

pt	Point in global coordinate system.

Note: Interpolation grid must be initializes before you can call this function.

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetInput ( )

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetInput ( unsigned int idx )

template<unsigned int VDimension = 3>

const InterpolationGridType* itk::fem::Solver< VDimension >::GetInterpolationGrid ( void ) const

inline

Returns pointer to interpolation grid, which is an itk::Image of pointers to Element objects. Normally you would use physical coordinates to get specific points (pointers to elements) from the image. You can then use the Elemenet::InterpolateSolution member function on the returned element to obtain the solution at this point.

Note: Physical coordinates in an image correspond to the global coordinate system in which the mesh (nodes) are.

Definition at line 252 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

LinearSystemWrapper::Pointer itk::fem::Solver< VDimension >::GetLinearSystemWrapper ( )

inline

Gets the LinearSystemWrapper object.

See Also: SetLinearSystemWrapper

Definition at line 196 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

virtual const char* itk::fem::Solver< VDimension >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::RobustSolver< VDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual InterpolationGridPointType itk::fem::Solver< VDimension >::GetOrigin ( )

virtual

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetOutput ( )

Get the output data of this process object. The output of this function is not valid until an appropriate Update() method has been called, either explicitly or implicitly. Both the filter itself and the data object have Update() methods, and both methods update the data.

For Filters which have multiple outputs of different types, the GetOutput() method assumes the output is of OutputImageType. For the GetOutput(unsigned int) method, a dynamic_cast is performed incase the filter has outputs of different types or image types. Derived classes should have names get methods for these outputs.

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetOutput ( unsigned int idx )

Make a DataObject of the correct type to be used as the specified output.

template<unsigned int VDimension = 3>

virtual InterpolationGridRegionType itk::fem::Solver< VDimension >::GetRegion ( )

virtual

template<unsigned int VDimension = 3>

Float itk::fem::Solver< VDimension >::GetSolution	(	unsigned int	i,
		unsigned int	which = `0`
	)

Returns the Solution for the specified nodal point.

template<unsigned int VDimension = 3>

virtual InterpolationGridSpacingType itk::fem::Solver< VDimension >::GetSpacing ( )

virtual

template<unsigned int VDimension = 3>

virtual Float itk::fem::Solver< VDimension >::GetTimeStep ( ) const

virtual

Returns the time step used for dynamic problems.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::InitializeInterpolationGrid	(	const InterpolationGridSizeType &	size,
		const InterpolationGridPointType &	bb1,
		const InterpolationGridPointType &	bb2
	)

Initialize the interpolation grid. The interpolation grid is used to find elements that containg specific points in a mesh. The interpolation grid stores pointers to elements for each point on a grid thereby providing a fast way (lookup table) to perform interpolation of results.

Note: Interpolation grid must be reinitialized each time a mesh changes.

Parameters

size	Vector that represents number of points on a grid in each dimension.
bb1	Lower limit of a bounding box of a grid.
bb2	Upper limit of a bounding box of a grid.

See Also: GetInterpolationGrid

Referenced by itk::fem::Solver< TDimension >::InitializeInterpolationGrid().

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::InitializeInterpolationGrid ( const InterpolationGridSizeType & size )

inline

Same as InitializeInterpolationGrid(size, {0,0...}, size);

Definition at line 219 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::InitializeInterpolationGrid	(	const InterpolationGridRegionType &	region,
		const InterpolationGridPointType &	origin,
		const InterpolationGridSpacingType &	spacing,
		const InterpolationGridDirectionType &	direction
	)

Initialize the interpolation grid, over the domain specified by the user

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::InitializeLinearSystemWrapper ( )

protectedvirtual

Performs any initialization needed for LinearSystemWrapper object i.e. sets the maximum number of matrices and vectors.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::InitializeMatrixForAssembly ( unsigned int N )

protectedvirtual

This function is called before assembling the matrices. You can override it in a derived class to account for special needs.

Parameters

N	Size of the matrix.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual DataObjectPointer itk::fem::Solver< VDimension >::MakeOutput ( DataObjectPointerArraySizeType )

overridevirtual

Make a DataObject of the correct type to be used as the specified output.

Reimplemented from itk::ProcessObject.

template<unsigned int VDimension = 3>

static Pointer itk::fem::Solver< VDimension >::New ( )

static

Method for creation through the object factory.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::operator= ( const Self & )

private

Make a DataObject of the correct type to be used as the specified output.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

Make a DataObject of the correct type to be used as the specified output.

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::RunSolver ( )

protectedvirtual

Solve for the displacement vector u. May be overriden in derived classes.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, itk::fem::RobustSolver< VDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetDirection ( InterpolationGridDirectionType _arg )

virtual

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetInput ( FEMObjectType * fem )

virtual

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetInput	(	unsigned	int,
		FEMObjectType *	fem
	)

virtual

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::SetLinearSystemWrapper ( LinearSystemWrapper::Pointer ls )

Sets the LinearSystemWrapper object that will be used when solving the master equation. If this function is not called, a default VNL linear system representation will be used (class LinearSystemWrapperVNL).

Parameters

ls	Pointer to an object of class which is derived from LinearSystemWrapper.

Note: Once the LinearSystemWrapper object is changed, it is used until the member function SetLinearSystemWrapper is called again. Since LinearSystemWrapper object was created outside the Solver class, it should also be destroyed outside. Solver class will not destroy it when the Solver object is destroyed.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetOrigin ( InterpolationGridPointType _arg )

virtual

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetRegion ( InterpolationGridRegionType _arg )

virtual

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetSpacing ( InterpolationGridSpacingType _arg )

virtual

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetTimeStep ( Float dt )

virtual

Sets the time step used for dynamic problems.

Parameters

dt	New time step.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::UpdateDisplacements ( )

protected

Copy solution vector u to the corresponding nodal values, which are stored in node objects). This is standard post processing of the solution.

Member Data Documentation

template<unsigned int VDimension = 3>

const unsigned int itk::fem::Solver< VDimension >::FEMDimension = VDimension

static

Definition at line 85 of file itkFEMSolver.h.

Referenced by itk::fem::Solver< TDimension >::InitializeInterpolationGrid().

template<unsigned int VDimension = 3>

InterpolationGridDirectionType itk::fem::Solver< VDimension >::m_Direction

private

Make a DataObject of the correct type to be used as the specified output.

Definition at line 431 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

FEMObjectPointer itk::fem::Solver< VDimension >::m_FEMObject

protected

Make a DataObject of the correct type to be used as the specified output.

Definition at line 419 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

InterpolationGridPointerType itk::fem::Solver< VDimension >::m_InterpolationGrid

protected

An Image of pointers to Element objects that represents a grid used for interpolation of solution. Each Pixel in an image is a pointer to an Element object in which that pixel is located.

Definition at line 417 of file itkFEMSolver.h.

Referenced by itk::fem::Solver< TDimension >::GetInterpolationGrid().

template<unsigned int VDimension = 3>

LinearSystemWrapper::Pointer itk::fem::Solver< VDimension >::m_ls

protected

Pointer to LinearSystemWrapper object.

Definition at line 405 of file itkFEMSolver.h.

Referenced by itk::fem::Solver< TDimension >::GetLinearSystemWrapper().

template<unsigned int VDimension = 3>

LinearSystemWrapperVNL itk::fem::Solver< VDimension >::m_lsVNL

protected

LinearSystemWrapperVNL object that is used by default in Solver class.