ITK
4.1.0
Insight Segmentation and Registration Toolkit
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#include <itkZeroFluxNeumannBoundaryCondition.h>
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.
typedef Superclass::IndexType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::IndexType |
Extract information from the image type
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 71 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::NeighborhoodAccessorFunctorType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::NeighborhoodAccessorFunctorType |
Functor used to access pixels from a neighborhood of pixel pointers
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 77 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::NeighborhoodType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::NeighborhoodType |
Type of the data container passed to this function object.
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 74 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::OffsetType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::OffsetType |
Extract information from the image type
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 73 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::OutputPixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::OutputPixelType |
Extract information from the image type
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 69 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::PixelPointerType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::PixelPointerType |
Extract information from the image type
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 68 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::PixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::PixelType |
Extract information from the image type.
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 67 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::RegionType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::RegionType |
Extract information from the image type
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 70 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef ZeroFluxNeumannBoundaryCondition itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::Self |
Standard class typedefs.
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 63 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef Superclass::SizeType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::SizeType |
Extract information from the image type
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 72 of file itkZeroFluxNeumannBoundaryCondition.h.
typedef ImageBoundaryCondition< TInputImage, TOutputImage > itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::Superclass |
Definition at line 64 of file itkZeroFluxNeumannBoundaryCondition.h.
itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::ZeroFluxNeumannBoundaryCondition | ( | ) | [inline] |
Default constructor.
Definition at line 83 of file itkZeroFluxNeumannBoundaryCondition.h.
virtual RegionType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::GetInputRequestedRegion | ( | const RegionType & | inputLargestPossibleRegion, |
const RegionType & | outputRequestedRegion | ||
) | const [virtual] |
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.
inputLargestPossibleRegion | Largest possible region of the input image. |
outputRequestedRegion | The output requested region. |
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
virtual const char* itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::GetNameOfClass | ( | ) | const [inline, virtual] |
Runtime information support.
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 86 of file itkZeroFluxNeumannBoundaryCondition.h.
OutputPixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::GetPixel | ( | const IndexType & | index, |
const TInputImage * | image | ||
) | const [virtual] |
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.
index | The index of the desired pixel. |
image | The image from which pixel values should be determined. |
Implements itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
virtual OutputPixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::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< TInputImage, TOutputImage >.
virtual OutputPixelType itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::operator() | ( | const OffsetType & | point_index, |
const OffsetType & | boundary_offset, | ||
const NeighborhoodType * | data, | ||
const NeighborhoodAccessorFunctorType & | neighborhoodAccessorFunctor | ||
) | const [virtual] |
Computes and returns the appropriate pixel value from neighborhood iterator data, using the functor.
Implements itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
const unsigned int itk::ZeroFluxNeumannBoundaryCondition< TInputImage, TOutputImage >::ImageDimension = Superclass::ImageDimension [static] |
Extract information from the image type.
Reimplemented from itk::ImageBoundaryCondition< TInputImage, TOutputImage >.
Definition at line 80 of file itkZeroFluxNeumannBoundaryCondition.h.