#include <itkCurvatureNDAnisotropicDiffusionFunction.h>

Inheritance diagram for itk::CurvatureNDAnisotropicDiffusionFunction< TImage >:

Collaboration diagram for itk::CurvatureNDAnisotropicDiffusionFunction< TImage >:

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.

Public Types
using	ConstPointer = SmartPointer< const Self >

using	FloatOffsetType = typename Superclass::FloatOffsetType

using	ImageType = typename Superclass::ImageType

using	NeighborhoodSizeValueType = typename NeighborhoodType::SizeValueType

using	NeighborhoodType = typename Superclass::NeighborhoodType

using	PixelType = typename Superclass::PixelType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename Superclass::RadiusType

using	Self = CurvatureNDAnisotropicDiffusionFunction

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
	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	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

template<typename TImage>

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

Definition at line 86 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 101 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Inherit some parameters from the superclass type.

Definition at line 96 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 103 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 100 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 97 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 85 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 99 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Standard class type aliases.

Definition at line 83 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 84 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<typename TImage>

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

Definition at line 98 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

template<typename TImage>

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

protected

template<typename TImage>

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

overrideprotecteddefault

Member Function Documentation

template<typename TImage>

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

override

Compute incremental update.

template<typename TImage>

virtual::itk::LightObject::Pointer itk::CurvatureNDAnisotropicDiffusionFunction< 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::CurvatureNDAnisotropicDiffusionFunction< TImage >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods)

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<typename TImage>

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

inlineoverridevirtual

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

Reimplemented from itk::FiniteDifferenceFunction< TImage >.

Definition at line 115 of file itkCurvatureNDAnisotropicDiffusionFunction.h.