#include <itkGradientNDAnisotropicDiffusionFunction.h>

Inheritance diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

Collaboration diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

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.

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 >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::ImageType	ImageType

typedef Superclass::NeighborhoodType	NeighborhoodType

typedef Superclass::PixelRealType	PixelRealType

typedef Superclass::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef Superclass::RadiusType	RadiusType

typedef ScalarAnisotropicDiffusionFunction	Self

typedef AnisotropicDiffusionFunction < TImage >	Superclass

typedef Superclass::TimeStepType	TimeStepType

Public Types inherited from itk::AnisotropicDiffusionFunction< TImage >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::FloatOffsetType	FloatOffsetType

typedef Superclass::ImageType	ImageType

typedef Superclass::NeighborhoodType	NeighborhoodType

typedef Superclass::PixelRealType	PixelrealType

typedef Superclass::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef Superclass::RadiusType	RadiusType

typedef AnisotropicDiffusionFunction	Self

typedef FiniteDifferenceFunction < TImage >	Superclass

typedef Superclass::TimeStepType	TimeStepType

Public Types inherited from itk::FiniteDifferenceFunction< TImage >
typedef SmartPointer< const Self >	ConstPointer

typedef ZeroFluxNeumannBoundaryCondition < ImageType >	DefaultBoundaryConditionType

typedef Vector< float, itkGetStaticConstMacro(ImageDimension) >	FloatOffsetType

typedef TImage	ImageType

typedef Vector< PixelRealType, itkGetStaticConstMacro(ImageDimension) >	NeighborhoodScalesType

typedef ConstNeighborhoodIterator < TImage, DefaultBoundaryConditionType >	NeighborhoodType

typedef double	PixelRealType

typedef ImageType::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef ConstNeighborhoodIterator < TImage >::RadiusType	RadiusType

typedef FiniteDifferenceFunction	Self

typedef LightObject	Superclass

typedef double	TimeStepType

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

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	GetScaleCoefficients (PixelRealType vals[ImageDimension]) 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 const unsigned int	ImageDimension = Superclass::ImageDimension

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

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

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 ()

void	PrintSelf (std::ostream &os, Indent indent) const

	~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 &)

Additional Inherited Members
Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

Member Typedef Documentation

template<class TImage>

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

Definition at line 69 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

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.

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

Definition at line 84 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Definition at line 81 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Definition at line 80 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Definition at line 68 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Definition at line 83 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Standard class typedefs.

Definition at line 66 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Definition at line 67 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

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.