#include <itkGradientNDAnisotropicDiffusionFunction.h>

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. For additional information see [86].

: 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.

See also: AnisotropicDiffusionFunction; VectorAnisotropicDiffusionFunction; VectorGradientAnisotropicDiffusionFunction; CurvatureNDAnisotropicDiffusionFunction

Definition at line 56 of file itkGradientNDAnisotropicDiffusionFunction.h.

Inheritance diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

Collaboration diagram for itk::GradientNDAnisotropicDiffusionFunction< TImage >:

Public Types
using	ConstPointer = SmartPointer<const Self>

using	NeighborhoodSizeValueType = SizeValueType

using	Pointer = SmartPointer<Self>

using	Self = GradientNDAnisotropicDiffusionFunction

using	Superclass = ScalarAnisotropicDiffusionFunction<TImage>

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

using	Pointer = SmartPointer<Self>

using	Self = ScalarAnisotropicDiffusionFunction

using	Superclass = AnisotropicDiffusionFunction<TImage>

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

using	PixelrealType = typename Superclass::PixelRealType

using	Pointer = SmartPointer<Self>

using	Self = AnisotropicDiffusionFunction

using	Superclass = FiniteDifferenceFunction<TImage>

Public Types inherited from itk::FiniteDifferenceFunction< TImage >
using	ConstPointer

using	DefaultBoundaryConditionType

using	FloatOffsetType

using	ImageType

using	NeighborhoodScalesType

using	NeighborhoodType

using	PixelRealType

using	PixelType

using	Pointer

using	RadiusType

using	Self

using	Superclass

using	TimeStepType

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 &it, void *globalData, const FloatOffsetType &offset=FloatOffsetType(0.0)) override

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

const char *	GetNameOfClass () const override

void	InitializeIteration () override

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

const char *	GetNameOfClass () const override

Public Member Functions inherited from itk::AnisotropicDiffusionFunction< TImage >
TimeStepType	ComputeGlobalTimeStep (void *GlobalData) const override

const double &	GetAverageGradientMagnitudeSquared () const

const double &	GetConductanceParameter () const

void *	GetGlobalDataPointer () const override

const TimeStepType &	GetTimeStep () const

void	ReleaseGlobalDataPointer (void *GlobalData) 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

const NeighborhoodScalesType	ComputeNeighborhoodScales () const

const RadiusType &	GetRadius () const

const RadiusType &	GetRadius () const

void	GetScaleCoefficients (PixelRealType vals[ImageDimension]) const

void	GetScaleCoefficients (PixelRealType vals[ImageDimension]) const

void	SetRadius (const RadiusType &r)

void	SetRadius (const RadiusType &r)

void	SetScaleCoefficients (const PixelRealType vals[ImageDimension])

void	SetScaleCoefficients (const PixelRealType vals[ImageDimension])

Public Member Functions inherited from itk::LightObject
Pointer	Clone () const

virtual void	Delete ()

virtual int	GetReferenceCount () const

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

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 ()

	FiniteDifferenceFunction ()

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

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

	~FiniteDifferenceFunction () override=default

	~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

RadiusType	m_Radius

PixelRealType	m_ScaleCoefficients [ImageDimension]

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

◆ ConstPointer

template<typename TImage>

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

Definition at line 65 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ NeighborhoodSizeValueType

template<typename TImage>

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

Definition at line 82 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ Pointer

template<typename TImage>

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

Definition at line 64 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ Self

template<typename TImage>

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

Standard class type aliases.

Definition at line 62 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ Superclass

template<typename TImage>

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

Definition at line 63 of file itkGradientNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

◆ GradientNDAnisotropicDiffusionFunction()

template<typename TImage>

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

protected

Referenced by GetNameOfClass().

◆ ~GradientNDAnisotropicDiffusionFunction()

template<typename TImage>

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

overrideprotecteddefault

Member Function Documentation

◆ ComputeUpdate()

template<typename TImage>

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

overridevirtual

Compute the equation value.

Implements itk::FiniteDifferenceFunction< TImage >.

◆ CreateAnother()

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.