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
using	CoefficientsPointer = typename CoefficientsType::Pointer

using	CoefficientsType = VectorContainer< unsigned, VectorType >

using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = ContinuousIndex< double, VDimension >

using	IndexType = Index< VDimension >

using	InputType = typename Superclass::InputType

using	OffsetType = Offset< VDimension >

using	OutputType = typename Superclass::OutputType

using	Pointer = SmartPointer< Self >

using	Self = FourierSeriesPath

using	Superclass = ParametricPath< VDimension >

using	VectorType = Vector< double, VDimension >

Public Types inherited from itk::ParametricPath< VDimension >
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = ContinuousIndex< SpacePrecisionType, VDimension >

using	IndexType = Index< VDimension >

using	InputType = typename Superclass::InputType

using	OffsetType = Offset< VDimension >

using	OutputType = typename Superclass::OutputType

using	Pointer = SmartPointer< Self >

using	Self = ParametricPath

using	Superclass = Path< double, ContinuousIndexType, VDimension >

using	VectorType = Vector< double, VDimension >

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

using	IndexType = Index< VDimension >

using	InputType = double

using	OffsetType = Offset< VDimension >

using	OutputType = ContinuousIndex< SpacePrecisionType, VDimension >

using	Pointer = SmartPointer< Self >

using	Self = Path

using	Superclass = DataObject

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

using	DataObjectIdentifierType = std::string

using	DataObjectPointerArraySizeType = std::vector< Pointer >::size_type

using	Pointer = SmartPointer< Self >

using	Self = DataObject

using	Superclass = Object

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

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

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

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
void	AddHarmonic (const VectorType &CosCoefficients, const VectorType &SinCoefficients)

virtual ::itk::LightObject::Pointer	CreateAnother () const

OutputType	Evaluate (const InputType &input) const override

VectorType	EvaluateDerivative (const InputType &input) const override

virtual const char *	GetNameOfClass () const

void	Initialize () override


void	Clear ()

Public Member Functions inherited from itk::ParametricPath< VDimension >
IndexType	EvaluateToIndex (const InputType &input) const override

virtual const InputType &	GetDefaultInputStepSize () const

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

SmartPointer< 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

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexceptoverride

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

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 () override=default

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

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

	~ParametricPath () override=default

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

virtual OffsetType	GetZeroOffset () const

	Path ()

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

	~Path () override=default

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

virtual void	PropagateResetPipeline ()

	~DataObject () override

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

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &time)

	~Object () override

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 Attributes
CoefficientsPointer	m_CosCoefficients

CoefficientsPointer	m_SinCoefficients

Additional Inherited Members
Static Public Attributes inherited from itk::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >
static constexpr unsigned int	PathDimension

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

Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount