ITK  4.9.0
Insight Segmentation and Registration Toolkit
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itk::GradientNDAnisotropicDiffusionFunction< TImage > Class Template Reference

#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

typedef SmartPointer< const SelfConstPointer
 
typedef Superclass::FloatOffsetType FloatOffsetType
 
typedef Superclass::ImageType ImageType
 
typedef SizeValueType NeighborhoodSizeValueType
 
typedef
Superclass::NeighborhoodType 
NeighborhoodType
 
typedef Superclass::PixelRealType PixelRealType
 
typedef Superclass::PixelType PixelType
 
typedef SmartPointer< SelfPointer
 
typedef Superclass::RadiusType RadiusType
 
typedef
GradientNDAnisotropicDiffusionFunction 
Self
 
typedef
ScalarAnisotropicDiffusionFunction
< TImage > 
Superclass
 
typedef Superclass::TimeStepType TimeStepType
 
- Public Types inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
typedef SmartPointer< const SelfConstPointer
 
typedef Superclass::ImageType ImageType
 
typedef
Superclass::NeighborhoodType 
NeighborhoodType
 
typedef Superclass::PixelRealType PixelRealType
 
typedef Superclass::PixelType PixelType
 
typedef SmartPointer< SelfPointer
 
typedef Superclass::RadiusType RadiusType
 
typedef
ScalarAnisotropicDiffusionFunction 
Self
 
typedef
AnisotropicDiffusionFunction
< TImage > 
Superclass
 
typedef Superclass::TimeStepType TimeStepType
 
- Public Types inherited from itk::AnisotropicDiffusionFunction< TImage >
typedef SmartPointer< const SelfConstPointer
 
typedef Superclass::FloatOffsetType FloatOffsetType
 
typedef Superclass::ImageType ImageType
 
typedef
Superclass::NeighborhoodType 
NeighborhoodType
 
typedef Superclass::PixelRealType PixelrealType
 
typedef Superclass::PixelType PixelType
 
typedef SmartPointer< SelfPointer
 
typedef Superclass::RadiusType RadiusType
 
typedef
AnisotropicDiffusionFunction 
Self
 
typedef
FiniteDifferenceFunction
< TImage > 
Superclass
 
typedef Superclass::TimeStepType TimeStepType
 
- Public Types inherited from itk::FiniteDifferenceFunction< TImage >
typedef SmartPointer< const SelfConstPointer
 
typedef
ZeroFluxNeumannBoundaryCondition
< ImageType
DefaultBoundaryConditionType
 
typedef Vector< float,
itkGetStaticConstMacro(ImageDimension) > 
FloatOffsetType
 
typedef TImage ImageType
 
typedef Vector< PixelRealType,
itkGetStaticConstMacro(ImageDimension) > 
NeighborhoodScalesType
 
typedef
ConstNeighborhoodIterator
< TImage,
DefaultBoundaryConditionType
NeighborhoodType
 
typedef double PixelRealType
 
typedef ImageType::PixelType PixelType
 
typedef SmartPointer< SelfPointer
 
typedef
ConstNeighborhoodIterator
< TImage >::RadiusType 
RadiusType
 
typedef FiniteDifferenceFunction Self
 
typedef LightObject Superclass
 
typedef double TimeStepType
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

Public Member Functions

virtual 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
 
virtual void InitializeIteration () override
 
- Public Member Functions inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
virtual void CalculateAverageGradientMagnitudeSquared (TImage *) override
 
- Public Member Functions inherited from itk::AnisotropicDiffusionFunction< TImage >
virtual TimeStepType ComputeGlobalTimeStep (void *) const override
 
const double & GetAverageGradientMagnitudeSquared () const
 
const double & GetConductanceParameter () const
 
virtual void * GetGlobalDataPointer () const override
 
const TimeStepTypeGetTimeStep () const
 
virtual 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
 
const RadiusTypeGetRadius () 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 const unsigned int ImageDimension = Superclass::ImageDimension
 
- Static Public Attributes inherited from itk::ScalarAnisotropicDiffusionFunction< TImage >
static const unsigned int ImageDimension = Superclass::ImageDimension
 
- Static Public Attributes inherited from itk::AnisotropicDiffusionFunction< TImage >
static const unsigned int ImageDimension = Superclass::ImageDimension
 
- Static Public Attributes inherited from itk::FiniteDifferenceFunction< TImage >
static const unsigned int ImageDimension
 

Protected Member Functions

 GradientNDAnisotropicDiffusionFunction ()
 
 ~GradientNDAnisotropicDiffusionFunction ()
 
- 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 override
 
 ~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 ()
 

Protected 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]
 
- Protected Attributes inherited from itk::FiniteDifferenceFunction< TImage >
RadiusType m_Radius
 
PixelRealType m_ScaleCoefficients [ImageDimension]
 
- Protected Attributes inherited from itk::LightObject
AtomicInt< int > m_ReferenceCount
 

Static Protected Attributes

static double m_MIN_NORM
 

Private Member Functions

 GradientNDAnisotropicDiffusionFunction (const Self &) ITK_DELETE_FUNCTION
 
void operator= (const Self &) ITK_DELETE_FUNCTION
 

Member Typedef Documentation

template<typename TImage>
typedef SmartPointer< const Self > itk::GradientNDAnisotropicDiffusionFunction< TImage >::ConstPointer

Definition at line 69 of file itkGradientNDAnisotropicDiffusionFunction.h.

Definition at line 85 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
typedef Superclass::ImageType itk::GradientNDAnisotropicDiffusionFunction< TImage >::ImageType

Inherit some parameters from the superclass type.

Definition at line 76 of file itkGradientNDAnisotropicDiffusionFunction.h.

Definition at line 87 of file itkGradientNDAnisotropicDiffusionFunction.h.

Definition at line 84 of file itkGradientNDAnisotropicDiffusionFunction.h.

Definition at line 81 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
typedef Superclass::PixelType itk::GradientNDAnisotropicDiffusionFunction< TImage >::PixelType

Definition at line 80 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
typedef SmartPointer< Self > itk::GradientNDAnisotropicDiffusionFunction< TImage >::Pointer

Definition at line 68 of file itkGradientNDAnisotropicDiffusionFunction.h.

Definition at line 83 of file itkGradientNDAnisotropicDiffusionFunction.h.

Standard class typedefs.

Definition at line 66 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
typedef ScalarAnisotropicDiffusionFunction< TImage > itk::GradientNDAnisotropicDiffusionFunction< TImage >::Superclass

Definition at line 67 of file itkGradientNDAnisotropicDiffusionFunction.h.

Definition at line 82 of file itkGradientNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

template<typename TImage>
itk::GradientNDAnisotropicDiffusionFunction< TImage >::GradientNDAnisotropicDiffusionFunction ( )
protected
template<typename TImage>
itk::GradientNDAnisotropicDiffusionFunction< TImage >::~GradientNDAnisotropicDiffusionFunction ( )
inlineprotected

Definition at line 107 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
itk::GradientNDAnisotropicDiffusionFunction< TImage >::GradientNDAnisotropicDiffusionFunction ( const Self )
private

Member Function Documentation

template<typename TImage>
virtual PixelType itk::GradientNDAnisotropicDiffusionFunction< TImage >::ComputeUpdate ( const NeighborhoodType neighborhood,
void *  globalData,
const FloatOffsetType offset = FloatOffsetType(0.0) 
)
overridevirtual

Compute the equation value.

Implements itk::FiniteDifferenceFunction< TImage >.

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>
virtual void itk::GradientNDAnisotropicDiffusionFunction< TImage >::InitializeIteration ( )
inlineoverridevirtual
template<typename TImage>
static Pointer itk::GradientNDAnisotropicDiffusionFunction< TImage >::New ( )
static
template<typename TImage>
void itk::GradientNDAnisotropicDiffusionFunction< TImage >::operator= ( const Self )
private

Member Data Documentation

template<typename TImage>
DerivativeOperator< PixelType, itkGetStaticConstMacro(ImageDimension) > itk::GradientNDAnisotropicDiffusionFunction< TImage >::dx_op
protected

Derivative operator.

Definition at line 118 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
const unsigned int itk::GradientNDAnisotropicDiffusionFunction< TImage >::ImageDimension = Superclass::ImageDimension
static

Inherit some parameters from the superclass type.

Definition at line 90 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
NeighborhoodSizeValueType itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_Center
protected

Definition at line 123 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
NeighborhoodInnerProduct< ImageType > itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_InnerProduct
protected

Inner product function.

Definition at line 110 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
PixelType itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_K
protected

Modified global average gradient magnitude term.

Definition at line 121 of file itkGradientNDAnisotropicDiffusionFunction.h.

Referenced by itk::GradientNDAnisotropicDiffusionFunction< TImage >::InitializeIteration().

template<typename TImage>
double itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_MIN_NORM
staticprotected

Definition at line 126 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
NeighborhoodSizeValueType itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_Stride[ImageDimension]
protected

Definition at line 124 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
std::slice itk::GradientNDAnisotropicDiffusionFunction< TImage >::x_slice[ImageDimension]
protected

Slices for the ND neighborhood.

Definition at line 113 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
std::slice itk::GradientNDAnisotropicDiffusionFunction< TImage >::xa_slice[ImageDimension][ImageDimension]
protected

Definition at line 114 of file itkGradientNDAnisotropicDiffusionFunction.h.

template<typename TImage>
std::slice itk::GradientNDAnisotropicDiffusionFunction< TImage >::xd_slice[ImageDimension][ImageDimension]
protected

Definition at line 115 of file itkGradientNDAnisotropicDiffusionFunction.h.


The documentation for this class was generated from the following file: