#include <itkGradientNDAnisotropicDiffusionFunction.h>

Inheritance diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

Collaboration diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

Detailed Description

template<typename 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
using	ConstPointer = SmartPointer< const Self >

using	FloatOffsetType = typename Superclass::FloatOffsetType

using	ImageType = typename Superclass::ImageType

using	NeighborhoodSizeValueType = SizeValueType

using	NeighborhoodType = typename Superclass::NeighborhoodType

using	PixelRealType = typename Superclass::PixelRealType

using	PixelType = typename Superclass::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename Superclass::RadiusType

using	Self = GradientNDAnisotropicDiffusionFunction

using	Superclass = ScalarAnisotropicDiffusionFunction< TImage >

using	TimeStepType = typename Superclass::TimeStepType

Public Types inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
using	ConstPointer = SmartPointer< const Self >

using	ImageType = typename Superclass::ImageType

using	NeighborhoodType = typename Superclass::NeighborhoodType

using	PixelRealType = typename Superclass::PixelRealType

using	PixelType = typename Superclass::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename Superclass::RadiusType

using	Self = ScalarAnisotropicDiffusionFunction

using	Superclass = AnisotropicDiffusionFunction< TImage >

using	TimeStepType = typename Superclass::TimeStepType

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

using	FloatOffsetType = typename Superclass::FloatOffsetType

using	ImageType = typename Superclass::ImageType

using	NeighborhoodType = typename Superclass::NeighborhoodType

using	PixelrealType = typename Superclass::PixelRealType

using	PixelType = typename Superclass::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename Superclass::RadiusType

using	Self = AnisotropicDiffusionFunction

using	Superclass = FiniteDifferenceFunction< TImage >

using	TimeStepType = typename Superclass::TimeStepType

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

using	DefaultBoundaryConditionType = ZeroFluxNeumannBoundaryCondition< ImageType >

using	FloatOffsetType = Vector< float, Self::ImageDimension >

using	ImageType = TImage

using	NeighborhoodScalesType = Vector< PixelRealType, Self::ImageDimension >

using	NeighborhoodType = ConstNeighborhoodIterator< TImage, DefaultBoundaryConditionType >

using	PixelRealType = double

using	PixelType = typename ImageType::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename ConstNeighborhoodIterator< TImage >::RadiusType

using	Self = FiniteDifferenceFunction

using	Superclass = LightObject

using	TimeStepType = double

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

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
PixelType	ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &offset=FloatOffsetType(0.0)) override

virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual const char *	GetNameOfClass () const

void	InitializeIteration () override

Public Member Functions inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
void	CalculateAverageGradientMagnitudeSquared (TImage *) override

Public Member Functions inherited from itk::AnisotropicDiffusionFunction< TImage >
virtual void	CalculateAverageGradientMagnitudeSquared (ImageType *)=0

TimeStepType	ComputeGlobalTimeStep (void *) const override

const double &	GetAverageGradientMagnitudeSquared () const

const double &	GetConductanceParameter () const

void *	GetGlobalDataPointer () const override

const TimeStepType &	GetTimeStep () const

void	ReleaseGlobalDataPointer (void *) const override

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

virtual PixelType	ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &offset=FloatOffsetType(0.0))=0

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 noexcept

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	ImageDimension = Superclass::ImageDimension

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

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

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

Protected Member Functions
	GradientNDAnisotropicDiffusionFunction ()

	~GradientNDAnisotropicDiffusionFunction () override=default

Protected Member Functions inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
	ScalarAnisotropicDiffusionFunction ()=default

	~ScalarAnisotropicDiffusionFunction () override=default

Protected Member Functions inherited from itk::AnisotropicDiffusionFunction< TImage >
	AnisotropicDiffusionFunction ()

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

	~AnisotropicDiffusionFunction () override=default

Protected Member Functions inherited from itk::FiniteDifferenceFunction< TImage >
	FiniteDifferenceFunction ()

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

	~FiniteDifferenceFunction () override=default

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
NeighborhoodSizeValueType	m_Center

DerivativeOperator< PixelType, Self::ImageDimension >	m_DerivativeOperator

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]

Protected Attributes inherited from itk::FiniteDifferenceFunction< TImage >
RadiusType	m_Radius

PixelRealType	m_ScaleCoefficients [ImageDimension]

Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount

Static Protected Attributes
static double	m_MIN_NORM

Member Typedef Documentation

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::ConstPointer = SmartPointer< const Self >

Definition at line 71 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::FloatOffsetType = typename Superclass::FloatOffsetType

Definition at line 87 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::ImageType = typename Superclass::ImageType

Inherit some parameters from the superclass type.

Definition at line 81 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::NeighborhoodSizeValueType = SizeValueType

Definition at line 89 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::NeighborhoodType = typename Superclass::NeighborhoodType

Definition at line 86 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::PixelRealType = typename Superclass::PixelRealType

Definition at line 83 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::PixelType = typename Superclass::PixelType

Definition at line 82 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::Pointer = SmartPointer< Self >

Definition at line 70 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::RadiusType = typename Superclass::RadiusType

Definition at line 85 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::Self = GradientNDAnisotropicDiffusionFunction

Standard class type aliases.

Definition at line 68 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::Superclass = ScalarAnisotropicDiffusionFunction< TImage >

Definition at line 69 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>

using itk::GradientNDAnisotropicDiffusionFunction< TImage >::TimeStepType = typename Superclass::TimeStepType

Definition at line 84 of file itkGradientNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

template<typename TImage>

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

protected

template<typename TImage>

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

overrideprotecteddefault

Member Function Documentation

template<typename TImage>

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

override

Compute the equation value.

template<typename TImage>

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

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

virtual

Run-time type information (and related methods)

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<typename TImage>

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

inlineoverridevirtual

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

Reimplemented from itk::FiniteDifferenceFunction< TImage >.

Definition at line 101 of file itkGradientNDAnisotropicDiffusionFunction.h.