#include <itkFourierSeriesPath.h>

Inheritance diagram for itk::FourierSeriesPath< VDimension >:

Collaboration diagram for itk::FourierSeriesPath< VDimension >:

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

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 < SpacePrecisionType, 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, ContinuousIndexType, VDimension >	Superclass

typedef Vector< double, VDimension >	VectorType

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

typedef Index< VDimension >	IndexType

typedef double	InputType

typedef Offset< VDimension >	OffsetType

typedef ContinuousIndex < SpacePrecisionType, 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 () const

virtual OutputType	Evaluate (const InputType &input) const override

virtual VectorType	EvaluateDerivative (const InputType &input) const override

virtual const char *	GetNameOfClass () const

virtual void	Initialize (void) override


void	Clear ()

Public Member Functions inherited from itk::ParametricPath< VDimension >
virtual VectorType	EvaluateDerivative (const InputType &input) const

virtual IndexType	EvaluateToIndex (const InputType &input) const override

virtual const InputType &	GetDefaultInputStepSize () const

virtual OffsetType	IncrementInput (InputType &input) const override

virtual void	SetDefaultInputStepSize (InputType _arg)

Public Member Functions inherited from itk::Path< double, ContinuousIndex< SpacePrecisionType, 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 () const

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 () const

virtual void	SetRealTimeStamp (RealTimeStamp _arg)

virtual const RealTimeStamp &	GetRealTimeStamp () 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::DataObject
static bool	GetGlobalReleaseDataFlag ()

static void	GlobalReleaseDataFlagOff ()

static void	GlobalReleaseDataFlagOn ()

static void	SetGlobalReleaseDataFlag (bool val)

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 ()

Protected Member Functions
	FourierSeriesPath ()

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

	~FourierSeriesPath ()

Protected Member Functions inherited from itk::ParametricPath< VDimension >
	ParametricPath ()

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

	~ParametricPath ()

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

virtual OffsetType	GetZeroOffset () const

	Path ()

	~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< SpacePrecisionType, VDimension >, VDimension >
static const unsigned int	PathDimension

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

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

Member Typedef Documentation

template<unsigned int VDimension>

typedef CoefficientsType::Pointer itk::FourierSeriesPath< VDimension >::CoefficientsPointer

Definition at line 83 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef VectorContainer< unsigned, VectorType > itk::FourierSeriesPath< VDimension >::CoefficientsType

Definition at line 82 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef SmartPointer< const Self > itk::FourierSeriesPath< VDimension >::ConstPointer

Definition at line 66 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef ContinuousIndex< double, VDimension > itk::FourierSeriesPath< VDimension >::ContinuousIndexType

Basic data-structure types used

Definition at line 78 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef Index< VDimension > itk::FourierSeriesPath< VDimension >::IndexType

Definition at line 79 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef Superclass::InputType itk::FourierSeriesPath< VDimension >::InputType

Input type

Definition at line 69 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef Offset< VDimension > itk::FourierSeriesPath< VDimension >::OffsetType

Definition at line 80 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef Superclass::OutputType itk::FourierSeriesPath< VDimension >::OutputType

Output type

Definition at line 75 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef SmartPointer< Self > itk::FourierSeriesPath< VDimension >::Pointer

Definition at line 65 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef FourierSeriesPath itk::FourierSeriesPath< VDimension >::Self

Standard class typedefs.

Definition at line 63 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef ParametricPath< VDimension > itk::FourierSeriesPath< VDimension >::Superclass

Definition at line 64 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

typedef Vector< double, VDimension > itk::FourierSeriesPath< VDimension >::VectorType

Definition at line 81 of file itkFourierSeriesPath.h.

Constructor & Destructor Documentation

template<unsigned int VDimension>

itk::FourierSeriesPath< VDimension >::FourierSeriesPath ( )

protected

template<unsigned int VDimension>

itk::FourierSeriesPath< VDimension >::~FourierSeriesPath ( )

inlineprotected

Definition at line 116 of file itkFourierSeriesPath.h.

template<unsigned int VDimension>

itk::FourierSeriesPath< VDimension >::FourierSeriesPath ( const Self & )

private

Member Function Documentation

template<unsigned int VDimension>

void itk::FourierSeriesPath< VDimension >::AddHarmonic	(	const VectorType &	CosCoefficients,
		const VectorType &	SinCoefficients
	)

Add another harmonic's frequency coefficients.

template<unsigned int VDimension>

void itk::FourierSeriesPath< VDimension >::Clear ( void )

inline

Clear all frequency coefficients (including the "DC" coefficients).

Definition at line 97 of file itkFourierSeriesPath.h.

References itk::FourierSeriesPath< VDimension >::m_CosCoefficients, itk::FourierSeriesPath< VDimension >::m_SinCoefficients, and itk::Object::Modified().

Referenced by itk::FourierSeriesPath< VDimension >::Initialize().

template<unsigned int VDimension>

virtual::itk::LightObject::Pointer itk::FourierSeriesPath< 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>

virtual OutputType itk::FourierSeriesPath< VDimension >::Evaluate ( const InputType & input ) const

overridevirtual

Return the location of the parametric path at the specified location.

template<unsigned int VDimension>

virtual VectorType itk::FourierSeriesPath< VDimension >::EvaluateDerivative ( const InputType & input ) const

overridevirtual

Evaluate the first derivative of the ND output with respect to the 1D input. This is an exact, algebraic function.

template<unsigned int VDimension>

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

virtual

Run-time type information (and related methods).

Reimplemented from itk::ParametricPath< VDimension >.

template<unsigned int VDimension>

virtual void itk::FourierSeriesPath< VDimension >::Initialize ( void )

inlineoverridevirtual

Needed for Pipelining

Reimplemented from itk::DataObject.

Definition at line 109 of file itkFourierSeriesPath.h.

References itk::FourierSeriesPath< VDimension >::Clear().

template<unsigned int VDimension>

static Pointer itk::FourierSeriesPath< VDimension >::New ( )

static

New() method for dynamic construction

template<unsigned int VDimension>

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

private

template<unsigned int VDimension>

void itk::FourierSeriesPath< VDimension >::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::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >.