itk::ZeroFluxNeumannBoundaryCondition< TImage > Class Template Reference
[Data Representation Objects, Image Representation Objects]

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. More...

#include <itkZeroFluxNeumannBoundaryCondition.h>

Inheritance diagram for itk::ZeroFluxNeumannBoundaryCondition:

[legend]Collaboration diagram for itk::ZeroFluxNeumannBoundaryCondition< TImage >:

[legend]List of all members.

Public Types
typedef ZeroFluxNeumannBoundaryCondition	Self
typedef ImageBoundaryCondition< TImage >	Superclass
typedef Superclass::PixelType	PixelType
typedef Superclass::PixelPointerType	PixelPointerType
typedef Superclass::IndexType	IndexType
typedef Superclass::OffsetType	OffsetType
typedef Superclass::NeighborhoodType	NeighborhoodType
Public Methods
	itkStaticConstMacro (ImageDimension, unsigned int, Superclass::ImageDimension)
	ZeroFluxNeumannBoundaryCondition ()
virtual PixelType	operator() (const OffsetType &point_index, const OffsetType &boundary_offset, const NeighborhoodType *data) const

---

Detailed Description

template<class TImage>
class itk::ZeroFluxNeumannBoundaryCondition< TImage >

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 SmartNeighborhoodIterator or any of the SmartNeighborhoodIterator subclasses. It can also be used to override a default boundary condition type in a SmartNeighborhoodIterator or any of the SmartNeighborhoodIterator subclasses.

Definition at line 60 of file itkZeroFluxNeumannBoundaryCondition.h.

---

Member Typedef Documentation

template<class TImage> typedef Superclass::IndexType itk::ZeroFluxNeumannBoundaryCondition< TImage >::IndexType

Reimplemented from itk::ImageBoundaryCondition< TImage >. Definition at line 71 of file itkZeroFluxNeumannBoundaryCondition.h.

template<class TImage> typedef Superclass::NeighborhoodType itk::ZeroFluxNeumannBoundaryCondition< TImage >::NeighborhoodType

Reimplemented from itk::ImageBoundaryCondition< TImage >. Definition at line 73 of file itkZeroFluxNeumannBoundaryCondition.h.

template<class TImage> typedef Superclass::OffsetType itk::ZeroFluxNeumannBoundaryCondition< TImage >::OffsetType

Reimplemented from itk::ImageBoundaryCondition< TImage >. Definition at line 72 of file itkZeroFluxNeumannBoundaryCondition.h.

template<class TImage> typedef Superclass::PixelPointerType itk::ZeroFluxNeumannBoundaryCondition< TImage >::PixelPointerType

Reimplemented from itk::ImageBoundaryCondition< TImage >. Definition at line 70 of file itkZeroFluxNeumannBoundaryCondition.h.

template<class TImage> typedef Superclass::PixelType itk::ZeroFluxNeumannBoundaryCondition< TImage >::PixelType

Extract information from the image type. Reimplemented from itk::ImageBoundaryCondition< TImage >. Definition at line 69 of file itkZeroFluxNeumannBoundaryCondition.h.

template<class TImage> typedef ZeroFluxNeumannBoundaryCondition itk::ZeroFluxNeumannBoundaryCondition< TImage >::Self

Standard class typedefs. Reimplemented from itk::ImageBoundaryCondition< TImage >. Definition at line 65 of file itkZeroFluxNeumannBoundaryCondition.h.

template<class TImage> typedef ImageBoundaryCondition<TImage> itk::ZeroFluxNeumannBoundaryCondition< TImage >::Superclass

Definition at line 66 of file itkZeroFluxNeumannBoundaryCondition.h.

---

Constructor & Destructor Documentation

template<class TImage> itk::ZeroFluxNeumannBoundaryCondition< TImage >::ZeroFluxNeumannBoundaryCondition (    )  [inline]

Default constructor. Definition at line 79 of file itkZeroFluxNeumannBoundaryCondition.h.

---

Member Function Documentation

template<class TImage> itk::ZeroFluxNeumannBoundaryCondition< TImage >::itkStaticConstMacro (  ImageDimension   , unsigned    int, Superclass::ImageDimension    )

Extract information from the image type.

template<class TImage> virtual PixelType itk::ZeroFluxNeumannBoundaryCondition< TImage >::operator() (  const OffsetType &    point_index, const OffsetType &    boundary_offset, const NeighborhoodType *    data )  const [virtual]

Computes and returns a neighborhood of appropriate values from neighborhood iterator data.. Implements itk::ImageBoundaryCondition< TImage >.

---

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

• itkZeroFluxNeumannBoundaryCondition.h

---