itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage > Class Template Reference

#include <itkZeroFluxNeumannBoundaryCondition.h>

Detailed Description

template<typename TInputImage, typename TOutputImage = TInputImage>
class itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >

A function object that determines a neighborhood of values at an image boundary according to a Neumann boundary condition where first, upwind derivatives on the boundary are zero. This is a useful condition in solving some classes of differential equations.

For example, invoking this function object on a 7x5 iterator that masks a region at an image corner (iterator is centered on the 2):

* * * * * *
* * * * * *
* 1 2 3 4 5  (where * denotes pixels that lie
* 3 3 5 5 6          outside of the image boundary)
* 4 4 6 7 8

returns the following neighborhood of values:

1 1 1 2 3 4 5
1 1 1 2 3 4 5
1 1 1 2 3 4 5
3 3 3 3 5 5 6   (note the corner values)
4 4 4 4 6 7 8

The input to this function object is a neighborhood iterator. This boundary condition object is designed to be given as a template argument to a NeighborhoodIterator or any of the NeighborhoodIterator subclasses.

Definition at line 58 of file itkZeroFluxNeumannBoundaryCondition.h.

Inheritance diagram for itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >:

Collaboration diagram for itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >:

Public Types
using	Self = ZeroFluxNeumannBoundaryCondition
using	Superclass = ImageBoundaryCondition< TInputImage, TOutputImage >
Public Types inherited from itk::ImageBoundaryCondition< TInputImage, TInputImage >
using	IndexType = Index< ImageDimension >
using	InputImageType = TInputImage
using	NeighborhoodAccessorFunctorType = typename TInputImage::NeighborhoodAccessorFunctorType
using	NeighborhoodType = Neighborhood< PixelPointerType, ImageDimension >
using	OffsetType = Offset< ImageDimension >
using	OutputImageType = TInputImage
using	OutputPixelType = typename TOutputImage::PixelType
using	PixelPointerType = typename TInputImage::InternalPixelType *
using	PixelType = typename TInputImage::PixelType
using	RegionType = ImageRegion< ImageDimension >
using	Self = ImageBoundaryCondition
using	SizeType = Size< ImageDimension >

Public Member Functions
RegionType	GetInputRequestedRegion (const RegionType &inputLargestPossibleRegion, const RegionType &outputRequestedRegion) const override
const char *	GetNameOfClass () const override
OutputPixelType	GetPixel (const IndexType &index, const TInputImage *image) const override
OutputPixelType	operator() (const OffsetType &point_index, const OffsetType &boundary_offset, const NeighborhoodType *data) const override
OutputPixelType	operator() (const OffsetType &point_index, const OffsetType &boundary_offset, const NeighborhoodType *data, const NeighborhoodAccessorFunctorType &neighborhoodAccessorFunctor) const override
	ZeroFluxNeumannBoundaryCondition ()=default
Public Member Functions inherited from itk::ImageBoundaryCondition< TInputImage, TInputImage >
virtual RegionType	GetInputRequestedRegion (const RegionType &inputLargestPossibleRegion, const RegionType &) const
virtual const char *	GetNameOfClass () const
virtual OutputPixelType	GetPixel (const IndexType &index, const TInputImage *image) const=0
	ImageBoundaryCondition ()=default
virtual OutputPixelType	operator() (const OffsetType &point_index, const OffsetType &boundary_offset, const NeighborhoodType *data) const=0
virtual OutputPixelType	operator() (const OffsetType &point_index, const OffsetType &boundary_offset, const NeighborhoodType *data, const NeighborhoodAccessorFunctorType &neighborhoodAccessorFunctor) const=0
virtual void	Print (std::ostream &os, Indent i=0) const
virtual bool	RequiresCompleteNeighborhood ()
virtual	~ImageBoundaryCondition ()=default

Static Public Attributes
static constexpr unsigned int	ImageDimension = Superclass::ImageDimension
Static Public Attributes inherited from itk::ImageBoundaryCondition< TInputImage, TInputImage >
static constexpr unsigned int	ImageDimension

Member Typedef Documentation

Self

template<typename TInputImage , typename TOutputImage = TInputImage>

using itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::Self = ZeroFluxNeumannBoundaryCondition

Standard class type aliases.

Definition at line 62 of file itkZeroFluxNeumannBoundaryCondition.h.

Superclass

template<typename TInputImage , typename TOutputImage = TInputImage>

using itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::Superclass = ImageBoundaryCondition<TInputImage, TOutputImage>

Definition at line 63 of file itkZeroFluxNeumannBoundaryCondition.h.

Constructor & Destructor Documentation

ZeroFluxNeumannBoundaryCondition()

template<typename TInputImage , typename TOutputImage = TInputImage>

itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::ZeroFluxNeumannBoundaryCondition ( )

default

Default constructor.

Member Function Documentation

GetInputRequestedRegion()

template<typename TInputImage , typename TOutputImage = TInputImage>

RegionType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::GetInputRequestedRegion ( const RegionType &  inputLargestPossibleRegion, const RegionType &  outputRequestedRegion  ) const

overridevirtual

Determines the necessary input region for the output region. For this boundary condition, only the intersection of the largest possible image region and the output requested region is needed. If the intersection is empty, then a one-pixel layer of the image from the side closest to the output requested region is needed.

Parameters

inputLargestPossibleRegion	Largest possible region of the input image.
outputRequestedRegion	The output requested region.

Returns

The necessary input region required to determine the pixel values in the outputRequestedRegion.

Reimplemented from itk::ImageBoundaryCondition< TInputImage, TInputImage >.

GetNameOfClass()

template<typename TInputImage , typename TOutputImage = TInputImage>

const char * itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::GetNameOfClass ( ) const

overridevirtual

See also

LightObject::GetNameOfClass()

Reimplemented from itk::ImageBoundaryCondition< TInputImage, TInputImage >.

GetPixel()

template<typename TInputImage , typename TOutputImage = TInputImage>

OutputPixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::GetPixel ( const IndexType &  index, const TInputImage *  image  ) const

overridevirtual

Returns a value for a given pixel at an index. If the index is inside the bounds of the input image, then the pixel value is obtained from the input image. Otherwise, the nearest pixel value is returned.

Parameters

index	The index of the desired pixel.
image	The image from which pixel values should be determined.

Implements itk::ImageBoundaryCondition< TInputImage, TInputImage >.

operator()() [1/2]

template<typename TInputImage , typename TOutputImage = TInputImage>

OutputPixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::operator() ( const OffsetType &  point_index, const OffsetType &  boundary_offset, const NeighborhoodType *  data  ) const

overridevirtual

Computes and returns a neighborhood of appropriate values from neighborhood iterator data..

Implements itk::ImageBoundaryCondition< TInputImage, TInputImage >.

operator()() [2/2]

template<typename TInputImage , typename TOutputImage = TInputImage>

OutputPixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::operator() ( const OffsetType &  point_index, const OffsetType &  boundary_offset, const NeighborhoodType *  data, const NeighborhoodAccessorFunctorType &  neighborhoodAccessorFunctor  ) const

overridevirtual

Computes and returns the appropriate pixel value from neighborhood iterator data, using the functor.

Implements itk::ImageBoundaryCondition< TInputImage, TInputImage >.

Member Data Documentation

ImageDimension

template<typename TInputImage , typename TOutputImage = TInputImage>

constexpr unsigned int itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::ImageDimension = Superclass::ImageDimension

staticconstexpr

Extract information from the image type.

Definition at line 81 of file itkZeroFluxNeumannBoundaryCondition.h.

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

• itkZeroFluxNeumannBoundaryCondition.h