itk::LaplacianOperator< TPixel, VDimension, TAllocator > Class Template Reference

#include <itkLaplacianOperator.h>

Inheritance diagram for itk::LaplacianOperator< TPixel, VDimension, TAllocator >:

Collaboration diagram for itk::LaplacianOperator< TPixel, VDimension, TAllocator >:

Detailed Description

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>
class itk::LaplacianOperator< TPixel, VDimension, TAllocator >

A NeighborhoodOperator for use in calculating the Laplacian at a pixel.

A NeighborhoodOperator for use in calculating the Laplacian at a pixel. The LaplacianOperator's coefficients are a tightest-fitting convolution kernel.

For example, the simplest Laplacian Operator for 2D has the form:

*              0   1   0
*              1  -4   1
*              0   1   0
*  

The LaplacianOperator is a non-directional NeighborhoodOperator that should be applied to a Neighborhood or NeighborhoodIterator using an inner product method (itkNeighborhoodInnerProduct). To initialize the operator, you need call CreateOperator() before using it.

By default the operator will be created for an isotropic image, but you can modify the operator to handle different pixel spacings by calling SetDerivativeScalings. The argument to SetDerivativeScalings is an array of doubles that is of length VDimension (the dimensionality of the image). Make sure to use 1/pixel_spacing to properly scale derivatives.

See Also

NeighborhoodOperator

Neighborhood

Wiki Examples:

• All Examples
• Create a Laplacian kernel

Definition at line 64 of file itkLaplacianOperator.h.

Public Types
typedef Superclass::PixelType	PixelType
typedef LaplacianOperator	Self
typedef Superclass::SizeType	SizeType
typedef NeighborhoodOperator < TPixel, VDimension, TAllocator >	Superclass
Public Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
typedef NumericTraits< TPixel > ::RealType	PixelRealType
typedef TPixel	PixelType
typedef NeighborhoodOperator	Self
typedef Superclass::SizeType	SizeType
typedef SliceIterator< TPixel, Self >	SliceIteratorType
typedef Neighborhood< TPixel, VDimension, TAllocator >	Superclass
Public Types inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
typedef TAllocator	AllocatorType
typedef AllocatorType::const_iterator	ConstIterator
typedef unsigned int	DimensionValueType
typedef AllocatorType::iterator	Iterator
typedef SizeValueType	NeighborIndexType
typedef Offset< VDimension >	OffsetType
typedef TPixel	PixelType
typedef Neighborhood	Self
typedef SizeType::SizeValueType	SizeValueType
typedef SliceIterator< TPixel, Self >	SliceIteratorType

Public Member Functions
void	CreateOperator ()
void	SetDerivativeScalings (const double *s)
	LaplacianOperator ()
	LaplacianOperator (const Self &other)
Self &	operator= (const Self &other)
virtual void	PrintSelf (std::ostream &os, Indent i) const
Public Member Functions inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
virtual void	CreateDirectional ()
virtual void	CreateToRadius (const SizeType &)
virtual void	CreateToRadius (const SizeValueType)
virtual void	FlipAxes ()
unsigned long	GetDirection () const
	NeighborhoodOperator ()
	NeighborhoodOperator (const Self &orig)
void	ScaleCoefficients (PixelRealType)
void	SetDirection (const unsigned long &direction)
Self &	operator= (const Self &orig)
Public Member Functions inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
NeighborIndexType	GetCenterNeighborhoodIndex () const
TPixel	GetCenterValue () const
virtual NeighborIndexType	GetNeighborhoodIndex (const OffsetType &) const
OffsetType	GetOffset (NeighborIndexType i) const
const SizeType	GetRadius () const
SizeValueType	GetRadius (DimensionValueType n) const
SizeValueType	GetSize (DimensionValueType n) const
SizeType	GetSize () const
std::slice	GetSlice (unsigned int) const
OffsetValueType	GetStride (DimensionValueType axis) const
	Neighborhood (const Self &other)
bool	operator!= (const Self &other) const
Self &	operator= (const Self &other)
bool	operator== (const Self &other) const
void	Print (std::ostream &os) const
void	SetRadius (const SizeType &)
void	SetRadius (const SizeValueType)
NeighborIndexType	Size () const
virtual	~Neighborhood ()
	Neighborhood ()
Iterator	End ()
Iterator	Begin ()
ConstIterator	End () const
ConstIterator	Begin () const
TPixel &	operator[] (NeighborIndexType i)
const TPixel &	operator[] (NeighborIndexType i) const
TPixel &	GetElement (NeighborIndexType i)
void	SetRadius (const SizeValueType *rad)
AllocatorType &	GetBufferReference ()
const AllocatorType &	GetBufferReference () const
TPixel &	operator[] (const OffsetType &o)
const TPixel &	operator[] (const OffsetType &o) const

Protected Types
typedef Superclass::CoefficientVector	CoefficientVector
Protected Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
typedef std::vector < PixelRealType >	CoefficientVector

Protected Member Functions
void	Fill (const CoefficientVector &)
CoefficientVector	GenerateCoefficients ()
Protected Member Functions inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
virtual void	FillCenteredDirectional (const CoefficientVector &)
void	InitializeToZero ()
Protected Member Functions inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
virtual void	Allocate (NeighborIndexType i)
virtual void	ComputeNeighborhoodOffsetTable ()
virtual void	ComputeNeighborhoodStrideTable ()
void	SetSize ()

Private Attributes
double	m_DerivativeScalings [VDimension]

Additional Inherited Members
Public Attributes inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
typedef::itk::Size< VDimension >	RadiusType
typedef::itk::Size< VDimension >	SizeType
Static Public Attributes inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
static const unsigned int	NeighborhoodDimension = VDimension

Member Typedef Documentation

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

typedef Superclass::CoefficientVector itk::LaplacianOperator< TPixel, VDimension, TAllocator >::CoefficientVector

protected

Typedef support for coefficient vector type. Necessary to work around compiler bug on VC++.

Definition at line 127 of file itkLaplacianOperator.h.

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

typedef Superclass::PixelType itk::LaplacianOperator< TPixel, VDimension, TAllocator >::PixelType

Definition at line 75 of file itkLaplacianOperator.h.

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

typedef LaplacianOperator itk::LaplacianOperator< TPixel, VDimension, TAllocator >::Self

Standard "Self" typedef support.

Definition at line 70 of file itkLaplacianOperator.h.

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

typedef Superclass::SizeType itk::LaplacianOperator< TPixel, VDimension, TAllocator >::SizeType

Definition at line 76 of file itkLaplacianOperator.h.

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

typedef NeighborhoodOperator< TPixel, VDimension, TAllocator > itk::LaplacianOperator< TPixel, VDimension, TAllocator >::Superclass

Standard "Superclass" typedef.

Definition at line 73 of file itkLaplacianOperator.h.

Constructor & Destructor Documentation

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

itk::LaplacianOperator< TPixel, VDimension, TAllocator >::LaplacianOperator ( )

inline

Default constructor

Definition at line 79 of file itkLaplacianOperator.h.

References itk::LaplacianOperator< TPixel, VDimension, TAllocator >::m_DerivativeScalings.

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

itk::LaplacianOperator< TPixel, VDimension, TAllocator >::LaplacianOperator ( const Self &  other )

inline

Copy constructor

Definition at line 89 of file itkLaplacianOperator.h.

References itk::LaplacianOperator< TPixel, VDimension, TAllocator >::m_DerivativeScalings.

Member Function Documentation

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

void itk::LaplacianOperator< TPixel, VDimension, TAllocator >::CreateOperator

(

)

This function is called to create the operator

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

void itk::LaplacianOperator< TPixel, VDimension, TAllocator >::Fill ( const CoefficientVector &  )

protectedvirtual

Arranges coefficients spatially in the memory buffer, default function was NOT used.

Implements itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

CoefficientVector itk::LaplacianOperator< TPixel, VDimension, TAllocator >::GenerateCoefficients ( )

protectedvirtual

Calculates operator coefficients.

Implements itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

Self& itk::LaplacianOperator< TPixel, VDimension, TAllocator >::operator= ( const Self &  other )

inline

Assignment operator

Definition at line 103 of file itkLaplacianOperator.h.

References itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >::operator=().

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

virtual void itk::LaplacianOperator< TPixel, VDimension, TAllocator >::PrintSelf ( std::ostream &  os, Indent  i  ) const

inlinevirtual

Prints some debugging information

Reimplemented from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.

Definition at line 111 of file itkLaplacianOperator.h.

References itk::Indent::GetNextIndent(), and itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >::PrintSelf().

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

void itk::LaplacianOperator< TPixel, VDimension, TAllocator >::SetDerivativeScalings

(

const double *

s

)

Sets the weights that are applied to the derivative in each axial direction when the kernel is computed. These weights are all 1.0 by default. This method must be called BEFORE CreateOperator

Member Data Documentation

template<typename TPixel , unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator< TPixel >>

double itk::LaplacianOperator< TPixel, VDimension, TAllocator >::m_DerivativeScalings[VDimension]

private

Weights applied to derivatives in each axial direction

Definition at line 138 of file itkLaplacianOperator.h.

Referenced by itk::LaplacianOperator< TPixel, VDimension, TAllocator >::LaplacianOperator().

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

• itkLaplacianOperator.h