itk::FourierSeriesPath< VDimension > Class Template Reference
[Path Representation Objects]

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

#include <itkFourierSeriesPath.h>

Inheritance diagram for itk::FourierSeriesPath< VDimension >:

[legend]Collaboration diagram for itk::FourierSeriesPath< VDimension >:

[legend]List of all members.

Public Types
typedef FourierSeriesPath	Self
typedef ParametricPath< VDimension >	Superclass
typedef SmartPointer< Self >	Pointer
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::InputType	InputType
typedef Superclass::OutputType	OutputType
typedef ContinuousIndex< double, VDimension >	ContinuousIndexType
typedef Index< VDimension >	IndexType
typedef Offset< VDimension >	OffsetType
typedef Vector< double, VDimension >	VectorType
typedef VectorContainer< unsigned, VectorType >	CoefficientsType
typedef CoefficientsType::Pointer	CoefficientsPointer
Public Member Functions
virtual const char *	GetClassName () const
virtual OutputType	Evaluate (const InputType &input) const
virtual VectorType	EvaluateDerivative (const InputType &input) const
void	AddHarmonic (const VectorType &CosCoefficients, const VectorType &SinCoefficients)
virtual void	Initialize (void)
void	Clear ()
Static Public Member Functions
Pointer	New ()
Protected Member Functions
	FourierSeriesPath ()
	~FourierSeriesPath ()
void	PrintSelf (std::ostream &os, Indent indent) const

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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 62 of file itkFourierSeriesPath.h.

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Member Typedef Documentation

template<unsigned int VDimension> typedef CoefficientsType::Pointer itk::FourierSeriesPath< VDimension >::CoefficientsPointer

Definition at line 88 of file itkFourierSeriesPath.h. Referenced by itk::FourierSeriesPath< VDimension >::~FourierSeriesPath().

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

Definition at line 87 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef SmartPointer<const Self> itk::FourierSeriesPath< VDimension >::ConstPointer

Reimplemented from itk::ParametricPath< VDimension >. Definition at line 70 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef ContinuousIndex<double,VDimension> itk::FourierSeriesPath< VDimension >::ContinuousIndexType

Basic data-structure types used Reimplemented from itk::ParametricPath< VDimension >. Definition at line 83 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef Index< VDimension > itk::FourierSeriesPath< VDimension >::IndexType

All paths must be mapable to index space Reimplemented from itk::ParametricPath< VDimension >. Definition at line 84 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef Superclass::InputType itk::FourierSeriesPath< VDimension >::InputType

Input type Reimplemented from itk::ParametricPath< VDimension >. Definition at line 76 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef Offset< VDimension > itk::FourierSeriesPath< VDimension >::OffsetType

Reimplemented from itk::ParametricPath< VDimension >. Definition at line 85 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef Superclass::OutputType itk::FourierSeriesPath< VDimension >::OutputType

Output type Reimplemented from itk::ParametricPath< VDimension >. Definition at line 79 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef SmartPointer<Self> itk::FourierSeriesPath< VDimension >::Pointer

Reimplemented from itk::ParametricPath< VDimension >. Definition at line 69 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef FourierSeriesPath itk::FourierSeriesPath< VDimension >::Self

Standard class typedefs. Reimplemented from itk::ParametricPath< VDimension >. Definition at line 67 of file itkFourierSeriesPath.h. Referenced by itk::FourierSeriesPath< VDimension >::~FourierSeriesPath().

template<unsigned int VDimension> typedef ParametricPath<VDimension> itk::FourierSeriesPath< VDimension >::Superclass

Reimplemented from itk::ParametricPath< VDimension >. Definition at line 68 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> typedef Vector<double,VDimension> itk::FourierSeriesPath< VDimension >::VectorType

Reimplemented from itk::ParametricPath< VDimension >. Definition at line 86 of file itkFourierSeriesPath.h.

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Constructor & Destructor Documentation

template<unsigned int VDimension> itk::FourierSeriesPath< VDimension >::FourierSeriesPath (   )  [protected]

template<unsigned int VDimension> itk::FourierSeriesPath< VDimension >::~FourierSeriesPath (   )  [inline, protected]

Definition at line 122 of file itkFourierSeriesPath.h. References itk::FourierSeriesPath< VDimension >::CoefficientsPointer, and itk::FourierSeriesPath< VDimension >::Self.

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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 (   )  [inline]

Clear all frequency coefficients (including the "DC" coefficients). Definition at line 103 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> virtual OutputType itk::FourierSeriesPath< VDimension >::Evaluate (  const InputType &  input  )  const [virtual]

Return the location of the parametric path at the specified location. Implements itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >.

template<unsigned int VDimension> virtual VectorType itk::FourierSeriesPath< VDimension >::EvaluateDerivative (  const InputType &  input  )  const [virtual]

Evaluate the first derivative of the ND output with respect to the 1D input. This is an exact, algebraic function. Reimplemented from itk::ParametricPath< VDimension >.

template<unsigned int VDimension> virtual const char* itk::FourierSeriesPath< VDimension >::GetClassName (   )  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   )  [inline, virtual]

Needed for Pipelining Reimplemented from itk::Path< double, ContinuousIndex< double, VDimension >, VDimension >. Definition at line 115 of file itkFourierSeriesPath.h.

template<unsigned int VDimension> Pointer itk::FourierSeriesPath< VDimension >::New (   )  [static]

New() method for dynamic construction Reimplemented from itk::Object.

template<unsigned int VDimension> void itk::FourierSeriesPath< VDimension >::PrintSelf (  std::ostream &  os, Indent  indent )  const [protected, virtual]

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::ParametricPath< VDimension >.

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The documentation for this class was generated from the following file:

• itkFourierSeriesPath.h

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