ITK  4.6.0
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Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | List of all members
itk::fem::Solver< VDimension > Class Template Reference

#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.
* 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 SelfConstPointer
 
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< SelfPointer
 
typedef Solver Self
 
typedef ProcessObject Superclass
 
typedef Element::VectorType VectorType
 
- Public Types inherited from itk::ProcessObject
typedef SmartPointer< const SelfConstPointer
 
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< SelfPointer
 
typedef ProcessObject Self
 
typedef Object Superclass
 
- Public Types inherited from itk::Object
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef Object Self
 
typedef LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

Public Member Functions

virtual ::itk::LightObject::Pointer CreateAnother (void) const
 
Float GetDeformationEnergy (unsigned int SolutionIndex=0)
 
virtual
InterpolationGridDirectionType 
GetDirection ()
 
const ElementGetElementAtPoint (const VectorType &pt) const
 
FEMObjectTypeGetInput (void)
 
FEMObjectTypeGetInput (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 (void) 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
 
NameArray GetInputNames () const
 
MultiThreader * GetMultiThreader () const
 
DataObjectPointerArraySizeType GetNumberOfIndexedInputs () const
 
DataObjectPointerArraySizeType GetNumberOfInputs () const
 
DataObjectPointerArraySizeType GetNumberOfOutputs () const
 
virtual
DataObjectPointerArraySizeType 
GetNumberOfValidRequiredInputs () const
 
NameArray GetOutputNames () const
 
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)
 
DataObjectPointerArray GetInputs ()
 
DataObjectPointerArray GetOutputs ()
 
DataObjectPointerArray GetIndexedInputs ()
 
DataObjectPointerArray GetIndexedOutputs ()
 
DataObjectPointerArraySizeType GetNumberOfIndexedOutputs () const
 
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 ThreadIdTypeGetNumberOfThreads () 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
 
CommandGetCommand (unsigned long tag)
 
bool GetDebug () const
 
MetaDataDictionaryGetMetaDataDictionary (void)
 
const MetaDataDictionaryGetMetaDataDictionary (void) const
 
virtual ModifiedTimeType GetMTime () const
 
virtual const TimeStampGetTimeStamp () const
 
bool HasObserver (const EventObject &event) const
 
void InvokeEvent (const EventObject &)
 
void InvokeEvent (const EventObject &) const
 
virtual void Modified () const
 
virtual void Register () const ITK_OVERRIDE
 
void RemoveAllObservers ()
 
void RemoveObserver (unsigned long tag)
 
void SetDebug (bool debugFlag) const
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
virtual void SetReferenceCount (int) ITK_OVERRIDE
 
virtual void UnRegister () const ITK_OVERRIDE
 
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 InterpolationGridTypeGetInterpolationGrid (void) const
 
virtual DataObjectPointer MakeOutput (DataObjectPointerArraySizeType) ITK_OVERRIDE
 
FEMObjectTypeGetOutput (void)
 
FEMObjectTypeGetOutput (unsigned int idx)
 
 Solver ()
 
virtual ~Solver ()
 
virtual void PrintSelf (std::ostream &os, Indent indent) const ITK_OVERRIDE
 
virtual void GenerateData () ITK_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 (void)
 
virtual void RunSolver (void)
 
void UpdateDisplacements (void)
 
void FillInterpolationGrid (void)
 
virtual void InitializeLinearSystemWrapper (void)
 
 Solver (const Self &)
 
void operator= (const Self &)
 

Additional Inherited Members

- Protected Types inherited from itk::LightObject
typedef int InternalReferenceCountType
 
- Protected Member Functions inherited from itk::ProcessObject
virtual void AddInput (DataObject *input)
 
virtual void AddOutput (DataObject *output)
 
virtual void CacheInputReleaseDataFlags ()
 
virtual void GenerateInputRequestedRegion ()
 
virtual void GenerateOutputInformation ()
 
virtual void GenerateOutputRequestedRegion (DataObject *output)
 
virtual const
DataObjectPointerArraySizeType
GetNumberOfRequiredOutputs () const
 
bool IsIndexedInputName (const DataObjectIdentifierType &) const
 
bool IsIndexedOutputName (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
 
 ProcessObject ()
 
virtual void PropagateResetPipeline ()
 
virtual void ReleaseInputs ()
 
virtual void RemoveInput (const DataObjectIdentifierType &key)
 
virtual void RemoveInput (DataObjectPointerArraySizeType)
 
virtual void RemoveOutput (const DataObjectIdentifierType &key)
 
virtual void RemoveOutput (DataObjectPointerArraySizeType idx)
 
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 SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)
 
virtual void SetOutput (const DataObjectIdentifierType &key, DataObject *output)
 
virtual void SetPrimaryInput (DataObject *input)
 
virtual void SetPrimaryOutput (DataObject *output)
 
virtual void VerifyInputInformation ()
 
virtual void VerifyPreconditions ()
 
 ~ProcessObject ()
 
DataObjectGetInput (const DataObjectIdentifierType &key)
 
const DataObjectGetInput (const DataObjectIdentifierType &key) const
 
DataObjectGetInput (DataObjectPointerArraySizeType idx)
 
const DataObjectGetInput (DataObjectPointerArraySizeType idx) const
 
virtual void PushBackInput (const DataObject *input)
 
virtual void PopBackInput ()
 
virtual void PushFrontInput (const DataObject *input)
 
virtual void PopFrontInput ()
 
DataObjectGetPrimaryInput ()
 
const DataObjectGetPrimaryInput () const
 
virtual void SetPrimaryInputName (const DataObjectIdentifierType &key)
 
virtual const char * GetPrimaryInputName (void) const
 
virtual void SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)
 
virtual const
DataObjectPointerArraySizeType
GetNumberOfRequiredInputs () const
 
bool AddRequiredInputName (const DataObjectIdentifierType &)
 
bool AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)
 
bool RemoveRequiredInputName (const DataObjectIdentifierType &)
 
bool IsRequiredInputName (const DataObjectIdentifierType &) const
 
void SetRequiredInputNames (const NameArray &)
 
DataObjectGetOutput (const DataObjectIdentifierType &key)
 
const DataObjectGetOutput (const DataObjectIdentifierType &key) const
 
virtual void SetPrimaryOutputName (const DataObjectIdentifierType &key)
 
virtual const char * GetPrimaryOutputName (void) const
 
DataObjectGetOutput (DataObjectPointerArraySizeType idx)
 
const DataObjectGetOutput (DataObjectPointerArraySizeType idx) const
 
DataObjectGetPrimaryOutput ()
 
const DataObjectGetPrimaryOutput () 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
InternalReferenceCountType m_ReferenceCount
 
SimpleFastMutexLock m_ReferenceCountLock
 

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
matrixIndex 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.
dimThis 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
dimThis 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 ( void  ) 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 ( void  )
protected

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

template<unsigned int VDimension = 3>
void itk::fem::Solver< VDimension >::FillInterpolationGrid ( void  )
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 ( )
protectedvirtual

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
ptPoint 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 ( void  )
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 ( void  )

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 ( void  ) 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
sizeVector that represents number of points on a grid in each dimension.
bb1Lower limit of a bounding box of a grid.
bb2Upper 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 ( void  )
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
NSize of the matrix.

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

template<unsigned int VDimension = 3>
virtual DataObjectPointer itk::fem::Solver< VDimension >::MakeOutput ( DataObjectPointerArraySizeType  )
virtual

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
protectedvirtual

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 ( void  )
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
lsPointer 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
dtNew time step.

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

template<unsigned int VDimension = 3>
void itk::fem::Solver< VDimension >::UpdateDisplacements ( void  )
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
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.

Definition at line 410 of file itkFEMSolver.h.

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

Number of global degrees of freedom in a system

Definition at line 396 of file itkFEMSolver.h.

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

Number of multi freedom constraints in a system. This member is set in a AssembleK function.

Definition at line 402 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>
InterpolationGridPointType itk::fem::Solver< VDimension >::m_Origin
private

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

Definition at line 429 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>
InterpolationGridRegionType itk::fem::Solver< VDimension >::m_Region
private

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

Definition at line 428 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>
InterpolationGridSpacingType itk::fem::Solver< VDimension >::m_Spacing
private

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

Definition at line 430 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>
const unsigned int itk::fem::Solver< VDimension >::MaxDimensions = 3
static

Definition at line 86 of file itkFEMSolver.h.


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