#include <itkFourierSeriesPath.h>

Inheritance diagram for itk::FourierSeriesPath< VDimension >:

Collaboration diagram for itk::FourierSeriesPath< VDimension >:

Public Types
typedef CoefficientsType::Pointer	CoefficientsPointer
typedef VectorContainer < unsigned, VectorType >	CoefficientsType
typedef SmartPointer< const Self >	ConstPointer
typedef ContinuousIndex < double, VDimension >	ContinuousIndexType
typedef Index< VDimension >	IndexType
typedef Superclass::InputType	InputType
typedef Offset< VDimension >	OffsetType
typedef Superclass::OutputType	OutputType
typedef SmartPointer< Self >	Pointer
typedef FourierSeriesPath	Self
typedef ParametricPath < VDimension >	Superclass
typedef Vector< double, VDimension >	VectorType
Public Types inherited from itk::ParametricPath< VDimension >
Public Types inherited from itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >
Public Types inherited from itk::DataObject
typedef std::string	DataObjectIdentifierType
typedef std::vector< Pointer > ::size_type	DataObjectPointerArraySizeType
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
void	AddHarmonic (const VectorType &CosCoefficients, const VectorType &SinCoefficients)
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual OutputType	Evaluate (const InputType &input) const
virtual VectorType	EvaluateDerivative (const InputType &input) const
virtual const char *	GetNameOfClass () const
virtual void	Initialize (void)

void	Clear ()
Public Member Functions inherited from itk::ParametricPath< VDimension >
virtual IndexType	EvaluateToIndex (const InputType &input) const
virtual const InputType &	GetDefaultInputStepSize ()
virtual OffsetType	IncrementInput (InputType &input) const
virtual void	SetDefaultInputStepSize (InputType _arg)
Public Member Functions inherited from itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >
virtual InputType	EndOfInput () const
virtual OutputType	Evaluate (const InputType &input) const =0
virtual IndexType	EvaluateToIndex (const InputType &input) const =0
virtual OffsetType	IncrementInput (InputType &input) const =0
virtual InputType	StartOfInput () const
Public Member Functions inherited from itk::DataObject
virtual void	CopyInformation (const DataObject *)
virtual void	DataHasBeenGenerated ()
void	DisconnectPipeline ()
bool	GetDataReleased () const
virtual const bool &	GetReleaseDataFlag ()
SmartPointerForwardReference < ProcessObject >	GetSource () const
DataObjectPointerArraySizeType	GetSourceOutputIndex () const
const DataObjectIdentifierType &	GetSourceOutputName () const
virtual unsigned long	GetUpdateMTime () const
virtual void	PrepareForNewData ()
virtual void	PropagateRequestedRegion ()
void	ReleaseData ()
virtual void	ReleaseDataFlagOff ()
virtual void	ReleaseDataFlagOn ()
virtual bool	RequestedRegionIsOutsideOfTheBufferedRegion ()
virtual void	ResetPipeline ()
void	SetReleaseDataFlag (bool flag)
virtual void	SetRequestedRegion (const DataObject *)
virtual void	SetRequestedRegionToLargestPossibleRegion ()
bool	ShouldIReleaseData () const
virtual void	Update ()
virtual void	UpdateOutputData ()
virtual void	UpdateOutputInformation ()
virtual bool	VerifyRequestedRegion ()
void	SetPipelineMTime (unsigned long time)
virtual const unsigned long &	GetPipelineMTime ()
virtual void	SetRealTimeStamp (RealTimeStamp _arg)
virtual const RealTimeStamp &	GetRealTimeStamp ()
virtual void	Graft (const DataObject *)
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 (void)
const MetaDataDictionary &	GetMetaDataDictionary (void) const
virtual unsigned long	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
void	RemoveAllObservers ()
void	RemoveObserver (unsigned long tag)
void	SetDebug (bool debugFlag) const
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void	SetReferenceCount (int)
virtual void	UnRegister () 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 ()

Protected Member Functions
	FourierSeriesPath ()
void	PrintSelf (std::ostream &os, Indent indent) const
	~FourierSeriesPath ()
Protected Member Functions inherited from itk::ParametricPath< VDimension >
	ParametricPath ()
	~ParametricPath ()
Protected Member Functions inherited from itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >
virtual IndexType	GetZeroIndex () const
virtual OffsetType	GetZeroOffset () const
	Path ()
	~Path ()
Protected Member Functions inherited from itk::DataObject
virtual void	PropagateResetPipeline ()
	DataObject ()
	~DataObject ()
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 ()

Private Member Functions
	FourierSeriesPath (const Self &)
void	operator= (const Self &)

Private Attributes
CoefficientsPointer	m_CosCoefficients
CoefficientsPointer	m_SinCoefficients

Additional Inherited Members
Protected Attributes inherited from itk::ParametricPath< VDimension >
InputType	m_DefaultInputStepSize

Detailed Description

template<unsigned int VDimension>
class itk::FourierSeriesPath< VDimension >

Represent a closed path through ND Space by its frequency components.

This class is intended to represent closed parametric paths through an image which are defined by their Fourier coeficients (frequency components). The paths must be closed and defined over the interval [0,1], where the paths' values at input 0 and input 1 are identical. The user can control how many harmonics (how high of frequency components) are represented by a given instantiation of this class. Classic applications of this class include smoothing other closed paths (by finding and using only the first n harmonics of their frequency components) and interpolating exact derivatives of other closed paths by first converting the other paths to FourierSeriesPaths, which have an exactly defined algebraic derivative. (As many harmonics as are necessary to adequately approximate the original path should be used when approximating derivatives.)

See also:: OrthogonallyCorrectedParametricPath; EllipseParametricPath; PolyLineParametricPath; ParametricPath; ChainCodePath; Path; ContinuousIndex; Index; Offset; Vector

Examples:: itkOrthogonalSwath2DPathFilterTest.cxx.

Definition at line 58 of file itkFourierSeriesPath.h.