ITK  4.0.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Protected Types | Protected Member Functions | Private Attributes
itk::LaplacianOperator< TPixel, VDimension, TAllocator > Class Template Reference
Operators | Module ITKCommon

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

#include <itkLaplacianOperator.h>

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

List of all members.

Public Types

typedef Superclass::PixelType PixelType
typedef LaplacianOperator Self
typedef Superclass::SizeType SizeType
typedef NeighborhoodOperator
< TPixel, VDimension,
TAllocator > 		Superclass

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

Protected Types

typedef
Superclass::CoefficientVector 		CoefficientVector

Protected Member Functions

void Fill (const CoefficientVector &)
CoefficientVector GenerateCoefficients ()

Private Attributes

double m_DerivativeScalings [VDimension]

Detailed Description

template<class TPixel, unsigned int VDimension = 2, class 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:

Definition at line 64 of file itkLaplacianOperator.h.

Member Typedef Documentation

template<class TPixel , unsigned int VDimension = 2, class 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++.

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

Definition at line 127 of file itkLaplacianOperator.h.

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

External support for pixel type

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

Definition at line 75 of file itkLaplacianOperator.h.

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

Standard "Self" typedef support.

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

Definition at line 70 of file itkLaplacianOperator.h.

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

Size object typedef support

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

Definition at line 76 of file itkLaplacianOperator.h.

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

Standard "Superclass" typedef.

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

Definition at line 73 of file itkLaplacianOperator.h.

Constructor & Destructor Documentation

template<class TPixel , unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
itk::LaplacianOperator< TPixel, VDimension, TAllocator >::LaplacianOperator ( ) [inline]

Default constructor

Definition at line 79 of file itkLaplacianOperator.h.

template<class TPixel , unsigned int VDimension = 2, class 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<class TPixel , unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
void itk::LaplacianOperator< TPixel, VDimension, TAllocator >::CreateOperator ( )

This function is called to create the operator

template<class TPixel , unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
void itk::LaplacianOperator< TPixel, VDimension, TAllocator >::Fill ( const CoefficientVector &  ) [protected, virtual]

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

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

template<class TPixel , unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
CoefficientVector itk::LaplacianOperator< TPixel, VDimension, TAllocator >::GenerateCoefficients ( ) [protected, virtual]

Calculates operator coefficients.

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

template<class TPixel , unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
Self& itk::LaplacianOperator< TPixel, VDimension, TAllocator >::operator= ( const Self &  other) [inline]

Assignment operator

Definition at line 103 of file itkLaplacianOperator.h.

template<class TPixel , unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
virtual void itk::LaplacianOperator< TPixel, VDimension, TAllocator >::PrintSelf ( std::ostream &  os,
Indent  i 
) const [inline, virtual]

Prints some debugging information

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

Definition at line 111 of file itkLaplacianOperator.h.

References itk::Indent::GetNextIndent().

template<class TPixel , unsigned int VDimension = 2, class 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<class TPixel , unsigned int VDimension = 2, class 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().

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