itk::GradientNDAnisotropicDiffusionFunction< TImage > Class Template Reference
[Finite Difference Functions, Image Enhancement Filters]

#include <itkGradientNDAnisotropicDiffusionFunction.h>

Inheritance diagram for itk::GradientNDAnisotropicDiffusionFunction:

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

[legend]List of all members.

Public Types
typedef GradientNDAnisotropicDiffusionFunction	Self
typedef ScalarAnisotropicDiffusionFunction< TImage >	Superclass
typedef SmartPointer< Self >	Pointer
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::ImageType	ImageType
typedef Superclass::PixelType	PixelType
typedef Superclass::TimeStepType	TimeStepType
typedef Superclass::RadiusType	RadiusType
typedef Superclass::NeighborhoodType	NeighborhoodType
typedef Superclass::FloatOffsetType	FloatOffsetType
Public Methods
virtual const char *	GetClassName () const
	itkStaticConstMacro (ImageDimension, unsigned int, Superclass::ImageDimension)
virtual PixelType	ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &offset=FloatOffsetType(0.0)) const
virtual void	InitializeIteration ()
Static Public Methods
Pointer	New ()
Protected Methods
	GradientNDAnisotropicDiffusionFunction ()
	~GradientNDAnisotropicDiffusionFunction ()
void	PrintSelf (std::ostream &os, Indent indent) const
Protected Attributes
NeighborhoodInnerProduct< ImageType >	m_InnerProduct
std::slice	x_slice [ImageDimension]
std::slice	xa_slice [ImageDimension][ImageDimension]
std::slice	xd_slice [ImageDimension][ImageDimension]
DerivativeOperator< PixelType, itkGetStaticConstMacro(ImageDimension)	dx_op )
PixelType	m_K
unsigned long	m_Center
unsigned long	m_Stride [ImageDimension]
Static Protected Attributes
double	m_MIN_NORM

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Detailed Description

template<class TImage>
class itk::GradientNDAnisotropicDiffusionFunction< TImage >

This class implements an N-dimensional version of the classic Perona-Malik anisotropic diffusion equation for scalar-valued images. See itkAnisotropicDiffusionFunction for an overview of the anisotropic diffusion framework and equation.

The conductance term for this implementation is chosen as a function of the gradient magnitude of the image at each point, reducing the strength of diffusion at edge pixels.

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The numerical implementation of this equation is similar to that described in the Perona-Malik paper below, but uses a more robust technique for gradient magnitude estimation and has been generalized to N-dimensions.

References

Pietro Perona and Jalhandra Malik, ``Scale-space and edge detection using anisotropic diffusion,'' IEEE Transactions on Pattern Analysis Machine Intelligence, vol. 12, pp. 629-639, 1990.

See also:

AnisotropicDiffusionFunction , VectorAnisotropicDiffusionFunction , VectorGradientAnisotropicDiffusionFunction , CurvatureNDAnisotropicDiffusionFunction

Definition at line 59 of file itkGradientNDAnisotropicDiffusionFunction.h.

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Member Typedef Documentation

template<class TImage> typedef SmartPointer<const Self> itk::GradientNDAnisotropicDiffusionFunction< TImage >::ConstPointer

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 67 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> typedef Superclass::FloatOffsetType itk::GradientNDAnisotropicDiffusionFunction< TImage >::FloatOffsetType

Reimplemented from itk::AnisotropicDiffusionFunction< TImage >. Definition at line 82 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> typedef Superclass::ImageType itk::GradientNDAnisotropicDiffusionFunction< TImage >::ImageType

Inherit some parameters from the superclass type. Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 77 of file itkGradientNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 81 of file itkGradientNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 78 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> typedef SmartPointer<Self> itk::GradientNDAnisotropicDiffusionFunction< TImage >::Pointer

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 66 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> typedef Superclass::RadiusType itk::GradientNDAnisotropicDiffusionFunction< TImage >::RadiusType

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 80 of file itkGradientNDAnisotropicDiffusionFunction.h.

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

Standard class typedefs. Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 64 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> typedef ScalarAnisotropicDiffusionFunction<TImage> itk::GradientNDAnisotropicDiffusionFunction< TImage >::Superclass

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 65 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> typedef Superclass::TimeStepType itk::GradientNDAnisotropicDiffusionFunction< TImage >::TimeStepType

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 79 of file itkGradientNDAnisotropicDiffusionFunction.h.

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Constructor & Destructor Documentation

template<class TImage> itk::GradientNDAnisotropicDiffusionFunction< TImage >::GradientNDAnisotropicDiffusionFunction (    )  [protected]

template<class TImage> itk::GradientNDAnisotropicDiffusionFunction< TImage >::~GradientNDAnisotropicDiffusionFunction (    )  [inline, protected]

Definition at line 102 of file itkGradientNDAnisotropicDiffusionFunction.h.

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Member Function Documentation

template<class TImage> virtual PixelType itk::GradientNDAnisotropicDiffusionFunction< TImage >::ComputeUpdate (  const NeighborhoodType &    neighborhood, void *    globalData, const FloatOffsetType &    offset = FloatOffsetType(0.0) )  const [virtual]

Compute the equation value. Implements itk::FiniteDifferenceFunction< TImage >.

template<class TImage> virtual const char* itk::GradientNDAnisotropicDiffusionFunction< TImage >::GetClassName (    )  const [virtual]

Run-time type information (and related methods) Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<class TImage> virtual void itk::GradientNDAnisotropicDiffusionFunction< TImage >::InitializeIteration (    )  [inline, virtual]

This method is called prior to each iteration of the solver. Reimplemented from itk::FiniteDifferenceFunction< TImage >. Definition at line 94 of file itkGradientNDAnisotropicDiffusionFunction.h. References itk::AnisotropicDiffusionFunction< TImage >::GetAverageGradientMagnitudeSquared(), itk::AnisotropicDiffusionFunction< TImage >::GetConductanceParameter(), and itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_K.

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

Inherit some parameters from the superclass type. Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<class TImage> Pointer itk::GradientNDAnisotropicDiffusionFunction< TImage >::New (    )  [static]

Method for creation through the object factory. Reimplemented from itk::LightObject.

template<class TImage> void itk::GradientNDAnisotropicDiffusionFunction< TImage >::PrintSelf (  std::ostream &    os, Indent    indent )  const [inline, protected, virtual]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes. Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 104 of file itkGradientNDAnisotropicDiffusionFunction.h.

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Member Data Documentation

template<class TImage> DerivativeOperator<PixelType, itkGetStaticConstMacro(ImageDimension) itk::GradientNDAnisotropicDiffusionFunction< TImage >::dx_op) [protected]

Derivative operator. Definition at line 116 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> unsigned long itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_Center [protected]

Definition at line 121 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> NeighborhoodInnerProduct<ImageType> itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_InnerProduct [protected]

Inner product function. Definition at line 108 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> PixelType itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_K [protected]

Modified global average gradient magnitude term. Definition at line 119 of file itkGradientNDAnisotropicDiffusionFunction.h. Referenced by itk::GradientNDAnisotropicDiffusionFunction< TImage >::InitializeIteration().

template<class TImage> double itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_MIN_NORM [static, protected]

Definition at line 124 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> unsigned long itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_Stride[ImageDimension] [protected]

Definition at line 122 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> std::slice itk::GradientNDAnisotropicDiffusionFunction< TImage >::x_slice[ImageDimension] [protected]

Slices for the ND neighborhood. Definition at line 111 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> std::slice itk::GradientNDAnisotropicDiffusionFunction< TImage >::xa_slice[ImageDimension][ImageDimension] [protected]

Definition at line 112 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage> std::slice itk::GradientNDAnisotropicDiffusionFunction< TImage >::xd_slice[ImageDimension][ImageDimension] [protected]

Definition at line 113 of file itkGradientNDAnisotropicDiffusionFunction.h.

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

• itkGradientNDAnisotropicDiffusionFunction.h

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