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.

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 >
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 ParametricPath	Self

typedef Path< double, ContinuousIndex< double, VDimension >, VDimension >	Superclass

typedef Vector< double, VDimension >	VectorType

Public Types inherited from itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >
typedef SmartPointer< const Self >	ConstPointer

typedef Index< VDimension >	IndexType

typedef double	InputType

typedef Offset< VDimension >	OffsetType

typedef ContinuousIndex < double, VDimension >	OutputType

typedef SmartPointer< Self >	Pointer

typedef Path	Self

typedef DataObject	Superclass

Public Types inherited from itk::DataObject
typedef SmartPointer< const Self >	ConstPointer

typedef std::string	DataObjectIdentifierType

typedef std::vector< Pointer > ::size_type	DataObjectPointerArraySizeType

typedef SmartPointer< Self >	Pointer

typedef DataObject	Self

typedef Object	Superclass

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

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

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

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
void	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 ModifiedTimeType	GetUpdateMTime () const

virtual void	Graft (const DataObject *)

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 (ModifiedTimeType time)

virtual const ModifiedTimeType &	GetPipelineMTime ()

virtual void	SetRealTimeStamp (RealTimeStamp _arg)

virtual const RealTimeStamp &	GetRealTimeStamp ()

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 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

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 ()

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

	~ParametricPath ()

Protected Member Functions inherited from itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >
virtual IndexType	GetZeroIndex () const

virtual OffsetType	GetZeroOffset () const

	Path ()

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

	~Path ()

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

virtual void	PropagateResetPipeline ()

	~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
Static Public Attributes inherited from itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >
static const unsigned int	PathDimension

Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

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