#include <itkCurvatureNDAnisotropicDiffusionFunction.h>

Inheritance diagram for itk::CurvatureNDAnisotropicDiffusionFunction< TImage >:

Collaboration diagram for itk::CurvatureNDAnisotropicDiffusionFunction< TImage >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::FloatOffsetType	FloatOffsetType
typedef Superclass::ImageType	ImageType
typedef NeighborhoodType::SizeValueType	NeighborhoodSizeValueType
typedef Superclass::NeighborhoodType	NeighborhoodType
typedef Superclass::PixelType	PixelType
typedef SmartPointer< Self >	Pointer
typedef Superclass::RadiusType	RadiusType
typedef CurvatureNDAnisotropicDiffusionFunction	Self
typedef ScalarAnisotropicDiffusionFunction < TImage >	Superclass
typedef Superclass::TimeStepType	TimeStepType
Public Types inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
typedef Superclass::PixelRealType	PixelRealType
Public Types inherited from itk::AnisotropicDiffusionFunction< TImage >
typedef Superclass::PixelRealType	PixelrealType
Public Types inherited from itk::FiniteDifferenceFunction< TImage >
typedef ZeroFluxNeumannBoundaryCondition < ImageType >	DefaultBoundaryConditionType
typedef Vector< PixelRealType, itkGetStaticConstMacro(ImageDimension) >	NeighborhoodScalesType
Public Types inherited from itk::LightObject

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	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 Public Attributes inherited from itk::AnisotropicDiffusionFunction< TImage >
Static Public Attributes inherited from itk::FiniteDifferenceFunction< TImage >

Protected Member Functions
	CurvatureNDAnisotropicDiffusionFunction ()
	~CurvatureNDAnisotropicDiffusionFunction ()
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 ()
	~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 ()

Private Member Functions
	CurvatureNDAnisotropicDiffusionFunction (const Self &)
void	operator= (const Self &)

Private 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 Private Attributes
static double	m_MIN_NORM

Detailed Description

template<class 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.

Member Typedef Documentation

template<class TImage>

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 84 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

A floating point offset from an image grid location. Used for interpolation among grid values in a neighborhood.

Reimplemented from itk::AnisotropicDiffusionFunction< TImage >.

Definition at line 99 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

typedef Superclass::ImageType itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::ImageType

Inherit some parameters from the superclass type.

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 91 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

typedef NeighborhoodType::SizeValueType itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::NeighborhoodSizeValueType

Definition at line 101 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

typedef Superclass::NeighborhoodType itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::NeighborhoodType

The type of data structure that is passed to this function object to evaluate at a pixel that does not lie on a data set boundary.

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 98 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 95 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 83 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Neighborhood radius type

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 97 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

typedef CurvatureNDAnisotropicDiffusionFunction itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::Self

Standard class typedefs.

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 81 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 82 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

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

Define the TimeStepType to always be double.

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

Definition at line 96 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

template<class TImage>

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

protected

template<class TImage>

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

inlineprotected

Definition at line 122 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage>

itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::CurvatureNDAnisotropicDiffusionFunction ( const Self & )

private

Member Function Documentation

template<class TImage>

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

virtual

Compute incremental update.

Implements itk::FiniteDifferenceFunction< TImage >.

template<class TImage>

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

virtual

Run-time type information (and related methods)

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<class TImage>

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

inlinevirtual

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

Reimplemented from itk::FiniteDifferenceFunction< TImage >.

Definition at line 113 of file itkCurvatureNDAnisotropicDiffusionFunction.h.