File: itkVectorCurvatureNDAnisotropicDiffusionFunction.h

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/*=========================================================================

  Program:   Insight Segmentation & Registration Toolkit
  Module:    itkVectorCurvatureNDAnisotropicDiffusionFunction.h
  Language:  C++
  Date:      $Date$
  Version:   $Revision$

  Copyright (c) Insight Software Consortium. All rights reserved.
  See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even 
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR 
     PURPOSE.  See the above copyright notices for more information.

=========================================================================*/
#ifndef __itkVectorCurvatureNDAnisotropicDiffusionFunction_h
#define __itkVectorCurvatureNDAnisotropicDiffusionFunction_h

#include "itkVectorAnisotropicDiffusionFunction.h"
#include "itkNeighborhoodAlgorithm.h"
#include "itkVectorNeighborhoodInnerProduct.h"
#include "itkDerivativeOperator.h"

namespace itk {

/** \class VectorCurvatureNDAnisotropicDiffusionFunction
 *
 * This class is a simple extension of the
 * CurvatureNDAnisotropicDiffusionFunction to pixel types of multiple
 * components.  Vector components are diffused separately, but diffusion of
 * each component is limited by a conductance term which depends on all
 * components.
 *
 * For more information, please see CurvatureNDAnisotropicDiffusionFunction.
 *
 * \sa CurvatureNDAnisotropicDiffusionFunction
 * \sa VectorGradientNDAnisotropicDiffusionFunction
 * \sa AnisotropicDiffusionFunction
 */ 
template <class TImage>
class ITK_EXPORT VectorCurvatureNDAnisotropicDiffusionFunction :
    public VectorAnisotropicDiffusionFunction<TImage>
{
public:
  /** Standard itk Self & Superclass typedefs */
  typedef VectorCurvatureNDAnisotropicDiffusionFunction Self;
  typedef VectorAnisotropicDiffusionFunction<TImage>    Superclass;
  typedef SmartPointer<Self>                            Pointer;
  typedef SmartPointer<const Self>                      ConstPointer;

  /** Method for creation through the object factory. */
  itkNewMacro(Self);

  /** Run-time type information (and related methods). */
  itkTypeMacro( VectorCurvatureNDAnisotropicDiffusionFunction,
                VectorAnisotropicDiffusionFunction );
  
  /** Inherit some parameters from the superclass type. */
  typedef typename Superclass::ImageType        ImageType;
  typedef typename Superclass::PixelType        PixelType;
  typedef typename Superclass::TimeStepType     TimeStepType;
  typedef typename Superclass::RadiusType       RadiusType;
  typedef typename Superclass::NeighborhoodType NeighborhoodType;
  typedef typename Superclass::FloatOffsetType  FloatOffsetType;
  typedef typename PixelType::ValueType         ScalarValueType;
  
  /** Extract the image and vector dimension. */
  itkStaticConstMacro(ImageDimension, unsigned int,
                      Superclass::ImageDimension);
  itkStaticConstMacro(VectorDimension, unsigned int,
                      Superclass::VectorDimension);

  /** Compute the equation value. */
  virtual PixelType ComputeUpdate(const NeighborhoodType &neighborhood,
                                  void *globalData,
                                  const FloatOffsetType& offset = FloatOffsetType(0.0)
    );

  /** This method is called prior to each iteration of the solver. */
  virtual void InitializeIteration()
    {
    m_K = this->GetAverageGradientMagnitudeSquared() * this->GetConductanceParameter() *
      this->GetConductanceParameter() * -2.0f;
    }
  
protected:
  VectorCurvatureNDAnisotropicDiffusionFunction();
  ~VectorCurvatureNDAnisotropicDiffusionFunction() {}
  void PrintSelf(std::ostream& os, Indent indent) const
  {  Superclass::PrintSelf(os,indent);   }

private:
  VectorCurvatureNDAnisotropicDiffusionFunction(const Self&); //purposely not implemented
  void operator=(const Self&); //purposely not implemented
  
  /** Inner product function. */
  VectorNeighborhoodInnerProduct<ImageType> m_InnerProduct;

  /** Slices for the ND neighborhood. */
  std::slice  x_slice[ImageDimension];
  std::slice xa_slice[ImageDimension][ImageDimension];
  std::slice xd_slice[ImageDimension][ImageDimension];

  /** Derivative operator */
  DerivativeOperator<ScalarValueType, itkGetStaticConstMacro(ImageDimension)> dx_op;

  /** Modified global average gradient magnitude term. */
  double m_K;
  
  static double m_MIN_NORM;
  unsigned long m_Center;
  unsigned long m_Stride[ImageDimension];
};
  
}// end namespace itk

#ifndef ITK_MANUAL_INSTANTIATION
#include "itkVectorCurvatureNDAnisotropicDiffusionFunction.txx"
#endif

#endif