#include <itkCurvatureNDAnisotropicDiffusionFunction.h>

Detailed Description

template<typename TImage>
class itk::CurvatureNDAnisotropicDiffusionFunction< TImage >

This class implements a variation on the classic, Perona-Malik anisotropic image diffusion equation as described in itkGradientNDAnisotropicDiffusionFunction. This object is a level-set analog of that equation and will be referred to below as the modified curvature diffusion equation (MCDE). MCDE does not exhibit the edge enhancing properties of classic anisotropic diffusion, which can under certain conditions undergo a "negative" diffusion,which enhances the contrast of edges. Equations of the form of MCDE always undergo positive diffusion, with the conductance term only varying the strength of that diffusion.

: Qualitatively, MCDE compares well with other non-linear diffusion techniques. It is less sensitive to contrast than classic Perona-Malik style diffusion, and preserves finer detailed structures in images. There is a potential speed trade-off for using this function in place of itkGradientNDAnisotropicDiffusionFunction. Each iteration of the solution takes roughly twice as long. Fewer iterations, however, may be required to reach an acceptable solution.

: The MCDE equation is given as:

\[ f_t = \mid \nabla f \mid \nabla \cdot c( \mid \nabla f \mid ) \frac{ \nabla f }{ \mid \nabla f \mid } \]

,

: where the conductance modified curvature term is

\[ \nabla \cdot \frac{\nabla f}{\mid \nabla f \mid} \]

.

References: R. Whitaker and X. Xue. Variable-Conductance, Level-Set Curvature for Image Denoising, International Conference on Image Processing, 2001 pp. 142-145, Vol.3.

See also: AnisotropicDiffusionFunction

Todo:: References

Definition at line 75 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

Inheritance diagram for itk::CurvatureNDAnisotropicDiffusionFunction< TImage >:

Collaboration diagram for itk::CurvatureNDAnisotropicDiffusionFunction< TImage >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	NeighborhoodSizeValueType = typename NeighborhoodType::SizeValueType

using	Pointer = SmartPointer< Self >

using	Self = CurvatureNDAnisotropicDiffusionFunction

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

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 >
virtual void	CalculateAverageGradientMagnitudeSquared (ImageType *)=0

TimeStepType	ComputeGlobalTimeStep (void *) const override

const double &	GetAverageGradientMagnitudeSquared () const

const double &	GetConductanceParameter () const

void *	GetGlobalDataPointer () const override

const char *	GetNameOfClass () 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 >
virtual TimeStepType	ComputeGlobalTimeStep (void *GlobalData) const=0

const NeighborhoodScalesType	ComputeNeighborhoodScales () const

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

virtual void *	GetGlobalDataPointer () const=0

const char *	GetNameOfClass () const override

const RadiusType &	GetRadius () const

void	GetScaleCoefficients (PixelRealType vals[ImageDimension]) const

virtual void	InitializeIteration ()

virtual void	ReleaseGlobalDataPointer (void *GlobalData) const=0

void	SetRadius (const RadiusType &r)

void	SetScaleCoefficients (const PixelRealType vals[ImageDimension])

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

virtual Pointer	CreateAnother () const

virtual void	Delete ()

virtual const char *	GetNameOfClass () const

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

Protected Member Functions
	CurvatureNDAnisotropicDiffusionFunction ()

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

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

virtual	~LightObject ()

Private 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]

Static Private Attributes
static double	m_MIN_NORM

Additional Inherited Members
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 {}

Member Typedef Documentation

◆ ConstPointer

template<typename TImage >

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

Definition at line 85 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

◆ NeighborhoodSizeValueType

template<typename TImage >

using itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::NeighborhoodSizeValueType = typename NeighborhoodType::SizeValueType

Definition at line 101 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

◆ Pointer

template<typename TImage >

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

Definition at line 84 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

◆ Self

template<typename TImage >

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

Standard class type aliases.

Definition at line 82 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

◆ Superclass

template<typename TImage >

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

Definition at line 83 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

◆ CurvatureNDAnisotropicDiffusionFunction()

template<typename TImage >

itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::CurvatureNDAnisotropicDiffusionFunction ( )

protected

◆ ~CurvatureNDAnisotropicDiffusionFunction()

template<typename TImage >

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

overrideprotecteddefault

Member Function Documentation

◆ ComputeUpdate()

template<typename TImage >

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