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 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

Static Public Member Functions
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 ()

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