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/*========================================================================= |
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Program: Insight Segmentation & Registration Toolkit |
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Module: $RCSfile: itkZeroFluxNeumannBoundaryCondition.h.html,v $ |
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Language: C++ |
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Date: $Date: 2006/01/17 19:15:49 $ |
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Version: $Revision: 1.4 $ |
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Copyright (c) Insight Software Consortium. All rights reserved. |
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See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details. |
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This software is distributed WITHOUT ANY WARRANTY; without even |
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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PURPOSE. See the above copyright notices for more information. |
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=========================================================================*/ |
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#ifndef __itkZeroFluxNeumannBoundaryCondition_h |
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#define __itkZeroFluxNeumannBoundaryCondition_h |
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#include "itkNeighborhood.h" |
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#include "itkImageBoundaryCondition.h" |
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namespace itk |
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{ |
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/** \class ZeroFluxNeumannBoundaryCondition |
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* \brief |
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* A function object that determines a neighborhood of values at an |
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* image boundary according to a Neumann boundary condition where first, |
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* upwind derivatives on the boundary are zero. This is a useful condition |
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* in solving some classes of differential equations. |
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* |
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* For example, invoking this function object on a 7x5 iterator that masks |
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* a region at an image corner (iterator is centered on the 2): |
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* |
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* * * * * * * * |
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* * * * * * * * |
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* * * 1 2 3 4 5 (where * denotes pixels that lie |
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* * * 3 3 5 5 6 outside of the image boundary) |
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* * * 4 4 6 7 8 |
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* |
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* returns the following neighborhood of values: |
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* |
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* 1 1 1 2 3 4 5 |
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* 1 1 1 2 3 4 5 |
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* 1 1 1 2 3 4 5 |
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* 3 3 3 3 5 5 6 (note the corner values) |
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* 4 4 4 4 6 7 8 |
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* |
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* The input to this function object is a neighborhood iterator. This boundary |
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* condition object is designed to be given as a template argument to a |
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* NeighborhoodIterator or any of the NeighborhoodIterator |
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* subclasses. |
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* |
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* \ingroup DataRepresentation |
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* \ingroup ImageObjects |
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*/ |
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template<class TImage> |
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class ITK_EXPORT ZeroFluxNeumannBoundaryCondition |
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**: public ImageBoundaryCondition<TImage> |
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{ |
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public: |
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/** Standard class typedefs. */ |
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typedef ZeroFluxNeumannBoundaryCondition Self; |
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TDA |
typedef ImageBoundaryCondition<TImage> Superclass; |
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/** Extract information from the image type. */ |
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typedef typename Superclass::PixelType PixelType; |
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TDA |
typedef typename Superclass::PixelPointerType PixelPointerType; |
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typedef typename Superclass::IndexType IndexType; |
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TDA |
typedef typename Superclass::OffsetType OffsetType; |
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TDA |
typedef typename Superclass::NeighborhoodType NeighborhoodType; |
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typedef typename Superclass::NeighborhoodAccessorFunctorType |
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*********************************NeighborhoodAccessorFunctorType; |
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/** Extract information from the image type. */ |
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itkStaticConstMacro(ImageDimension, unsigned int,Superclass::ImageDimension); |
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/** Default constructor. */ |
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ZeroFluxNeumannBoundaryCondition() {} |
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/** Computes and returns a neighborhood of appropriate values from |
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* neighborhood iterator data.. */ |
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virtual PixelType operator()(const OffsetType& point_index, |
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const OffsetType& boundary_offset, |
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const NeighborhoodType *data) const; |
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/** Computes and returns the appropriate pixel value from |
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* neighborhood iterator data, using the functor. */ |
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virtual PixelType operator()( |
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const OffsetType& point_index, |
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const OffsetType& boundary_offset, |
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const NeighborhoodType *data, |
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const NeighborhoodAccessorFunctorType &neighborhoodAccessorFunctor) const; |
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}; |
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} // end namespace itk |
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#ifndef ITK_MANUAL_INSTANTIATION |
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#include "itkZeroFluxNeumannBoundaryCondition.txx" |
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#endif |
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#endif |
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