ITK  5.3.0
Insight Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Member Functions | Protected Attributes | Static Protected Attributes | List of all members
itk::GradientNDAnisotropicDiffusionFunction< TImage > Class Template Reference

#include <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 = 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
 
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 >
TimeStepType ComputeGlobalTimeStep (void *) const override
 
const double & GetAverageGradientMagnitudeSquared () const
 
const double & GetConductanceParameter () const
 
void * GetGlobalDataPointer () const override
 
const TimeStepTypeGetTimeStep () 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
 
const RadiusTypeGetRadius () const
 
void GetScaleCoefficients (PixelRealType vals[ImageDimension]) const
 
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 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

 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 ()
 
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 ()
 

Protected Attributes

NeighborhoodSizeValueType m_Center
 
DerivativeOperator< PixelType, Self::ImageDimensionm_DerivativeOperator
 
NeighborhoodInnerProduct< ImageTypem_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
std::atomic< int > m_ReferenceCount
 

Static Protected Attributes

static double m_MIN_NORM
 

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.

Member Typedef Documentation

◆ ConstPointer

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

Definition at line 70 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ NeighborhoodSizeValueType

Definition at line 87 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ Pointer

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

Definition at line 69 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ Self

Standard class type aliases.

Definition at line 67 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ Superclass

Definition at line 68 of file itkGradientNDAnisotropicDiffusionFunction.h.

Constructor & Destructor Documentation

◆ GradientNDAnisotropicDiffusionFunction()

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

◆ ~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 >.

◆ GetNameOfClass()

template<typename TImage>
virtual const char* itk::GradientNDAnisotropicDiffusionFunction< TImage >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods)

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

◆ InitializeIteration()

template<typename TImage>
void itk::GradientNDAnisotropicDiffusionFunction< TImage >::InitializeIteration ( )
inlineoverridevirtual

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

Reimplemented from itk::FiniteDifferenceFunction< TImage >.

Definition at line 100 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ New()

template<typename TImage>
static Pointer itk::GradientNDAnisotropicDiffusionFunction< TImage >::New ( )
static

Member Data Documentation

◆ ImageDimension

template<typename TImage>
constexpr unsigned int itk::GradientNDAnisotropicDiffusionFunction< TImage >::ImageDimension = Superclass::ImageDimension
staticconstexpr

Inherit some parameters from the superclass type.

Definition at line 90 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ m_Center

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

Definition at line 124 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ m_DerivativeOperator

template<typename TImage>
DerivativeOperator<PixelType, Self::ImageDimension> itk::GradientNDAnisotropicDiffusionFunction< TImage >::m_DerivativeOperator
protected

Derivative operator.

Definition at line 119 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ m_InnerProduct

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

Inner product function.

Definition at line 111 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ m_K

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

Modified global average gradient magnitude term.

Definition at line 122 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ m_MIN_NORM

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

Definition at line 127 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ m_Stride

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

Definition at line 125 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ x_slice

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

Slices for the ND neighborhood.

Definition at line 114 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ xa_slice

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

Definition at line 115 of file itkGradientNDAnisotropicDiffusionFunction.h.

◆ xd_slice

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

Definition at line 116 of file itkGradientNDAnisotropicDiffusionFunction.h.


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