#include <itkGradientNDAnisotropicDiffusionFunction.h>

Inheritance diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

Collaboration diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::FloatOffsetType	FloatOffsetType
typedef Superclass::ImageType	ImageType
typedef SizeValueType	NeighborhoodSizeValueType
typedef Superclass::NeighborhoodType	NeighborhoodType
typedef Superclass::PixelRealType	PixelRealType
typedef Superclass::PixelType	PixelType
typedef SmartPointer< Self >	Pointer
typedef Superclass::RadiusType	RadiusType
typedef GradientNDAnisotropicDiffusionFunction	Self
typedef ScalarAnisotropicDiffusionFunction < TImage >	Superclass
typedef Superclass::TimeStepType	TimeStepType
Public Types inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
Public Types inherited from itk::AnisotropicDiffusionFunction< TImage >
typedef Superclass::PixelRealType	PixelrealType
Public Types inherited from itk::FiniteDifferenceFunction< TImage >
typedef ZeroFluxNeumannBoundaryCondition < ImageType >	DefaultBoundaryConditionType
typedef Vector< PixelRealType, itkGetStaticConstMacro(ImageDimension) >	NeighborhoodScalesType
Public Types inherited from itk::LightObject

Public Member Functions
virtual PixelType	ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &offset=FloatOffsetType(0.0))
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual const char *	GetNameOfClass () const
virtual void	InitializeIteration ()
Public Member Functions inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
virtual void	CalculateAverageGradientMagnitudeSquared (TImage *)
Public Member Functions inherited from itk::AnisotropicDiffusionFunction< TImage >
virtual TimeStepType	ComputeGlobalTimeStep (void *) const
const double &	GetAverageGradientMagnitudeSquared () const
const double &	GetConductanceParameter () const
virtual void *	GetGlobalDataPointer () const
const TimeStepType &	GetTimeStep () const
virtual void	ReleaseGlobalDataPointer (void *) const
void	SetAverageGradientMagnitudeSquared (const double &c)
void	SetConductanceParameter (const double &c)
void	SetTimeStep (const TimeStepType &t)
Public Member Functions inherited from itk::FiniteDifferenceFunction< TImage >
const NeighborhoodScalesType	ComputeNeighborhoodScales () const
const RadiusType &	GetRadius () const
void	SetRadius (const RadiusType &r)
void	SetScaleCoefficients (PixelRealType vals[ImageDimension])
Public Member Functions inherited from itk::LightObject
virtual void	Delete ()
virtual int	GetReferenceCount () const
	itkCloneMacro (Self)
void	Print (std::ostream &os, Indent indent=0) const
virtual void	Register () const
virtual void	SetReferenceCount (int)
virtual void	UnRegister () const

Static Public Member Functions
static Pointer	New ()

Static Public Attributes
static const unsigned int	ImageDimension = Superclass::ImageDimension
Static Public Attributes inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
Static Public Attributes inherited from itk::AnisotropicDiffusionFunction< TImage >
Static Public Attributes inherited from itk::FiniteDifferenceFunction< TImage >

Protected Member Functions
	GradientNDAnisotropicDiffusionFunction ()
	~GradientNDAnisotropicDiffusionFunction ()
Protected Member Functions inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
	ScalarAnisotropicDiffusionFunction ()
	~ScalarAnisotropicDiffusionFunction ()
Protected Member Functions inherited from itk::AnisotropicDiffusionFunction< TImage >
	AnisotropicDiffusionFunction ()
void	PrintSelf (std::ostream &os, Indent indent) const
	~AnisotropicDiffusionFunction ()
Protected Member Functions inherited from itk::FiniteDifferenceFunction< TImage >
	FiniteDifferenceFunction ()
	~FiniteDifferenceFunction ()
Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const
	LightObject ()
virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
virtual	~LightObject ()

Protected Attributes
DerivativeOperator< PixelType, itkGetStaticConstMacro(ImageDimension) >	dx_op
NeighborhoodSizeValueType	m_Center
NeighborhoodInnerProduct < ImageType >	m_InnerProduct
PixelType	m_K
NeighborhoodSizeValueType	m_Stride [ImageDimension]
std::slice	x_slice [ImageDimension]
std::slice	xa_slice [ImageDimension][ImageDimension]
std::slice	xd_slice [ImageDimension][ImageDimension]

Static Protected Attributes
static double	m_MIN_NORM

Private Member Functions
	GradientNDAnisotropicDiffusionFunction (const Self &)
void	operator= (const Self &)

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.

$C(\mathbf{x}) = e^{-(\frac{\parallel \nabla U(\mathbf{x}) \parallel}{K})^2}$

.

: 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 61 of file itkGradientNDAnisotropicDiffusionFunction.h.

Member Typedef Documentation

template<class TImage>

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 69 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

A floating point offset from an image grid location. Used for interpolation among grid values in a neighborhood.

Reimplemented from itk::AnisotropicDiffusionFunction< TImage >.

Definition at line 85 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 76 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

typedef SizeValueType itk::GradientNDAnisotropicDiffusionFunction< TImage >::NeighborhoodSizeValueType

Definition at line 87 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

The type of data structure that is passed to this function object to evaluate at a pixel that does not lie on a data set boundary.

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 84 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

typedef Superclass::PixelRealType itk::GradientNDAnisotropicDiffusionFunction< TImage >::PixelRealType

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 80 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 68 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Neighborhood radius type

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 83 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Standard class typedefs.

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 66 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 67 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Define the TimeStepType to always be double.

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 82 of file itkGradientNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

template<class TImage>

itk::GradientNDAnisotropicDiffusionFunction< TImage >::GradientNDAnisotropicDiffusionFunction ( )

protected

template<class TImage>

itk::GradientNDAnisotropicDiffusionFunction< TImage >::~GradientNDAnisotropicDiffusionFunction ( )

inlineprotected

Definition at line 107 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

itk::GradientNDAnisotropicDiffusionFunction< TImage >::GradientNDAnisotropicDiffusionFunction ( const Self & )

private

Member Function Documentation

template<class TImage>

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

virtual

Compute the equation value.

Implements itk::FiniteDifferenceFunction< TImage >.

template<class TImage>

virtual::itk::LightObject::Pointer itk::GradientNDAnisotropicDiffusionFunction< TImage >::CreateAnother ( void ) const

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::LightObject.

template<class TImage>

virtual const char* itk::GradientNDAnisotropicDiffusionFunction< TImage >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods)

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<class TImage>

virtual void itk::GradientNDAnisotropicDiffusionFunction< TImage >::InitializeIteration ( )

inlinevirtual

This method is called prior to each iteration of the solver.

Reimplemented from itk::FiniteDifferenceFunction< TImage >.

Definition at line 99 of file itkGradientNDAnisotropicDiffusionFunction.h.