itk::CurvatureNDAnisotropicDiffusionFunction< TImage > Class Template Reference
[Finite Difference Functions, Image Enhancement Filters]

#include <itkCurvatureNDAnisotropicDiffusionFunction.h>

Inheritance diagram for itk::CurvatureNDAnisotropicDiffusionFunction:

[legend]Collaboration diagram for itk::CurvatureNDAnisotropicDiffusionFunction< TImage >:

[legend]List of all members.

Public Types
typedef CurvatureNDAnisotropicDiffusionFunction	Self
typedef ScalarAnisotropicDiffusionFunction< TImage >	Superclass
typedef SmartPointer< Self >	Pointer
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::ImageType	ImageType
typedef Superclass::PixelType	PixelType
typedef Superclass::TimeStepType	TimeStepType
typedef Superclass::RadiusType	RadiusType
typedef Superclass::NeighborhoodType	NeighborhoodType
typedef Superclass::BoundaryNeighborhoodType	BoundaryNeighborhoodType
typedef Superclass::FloatOffsetType	FloatOffsetType
Public Methods
virtual const char *	GetClassName () const
	itkStaticConstMacro (ImageDimension, unsigned int, Superclass::ImageDimension)
virtual void	InitializeIteration ()
virtual PixelType	ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &offset=m_ZeroOffset) const
virtual PixelType	ComputeUpdate (const BoundaryNeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &offset=m_ZeroOffset) const
Static Public Methods
Pointer	New ()
Protected Methods
	CurvatureNDAnisotropicDiffusionFunction ()
	~CurvatureNDAnisotropicDiffusionFunction ()
void	PrintSelf (std::ostream &os, Indent indent) const

---

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:

,

where the conductance modified curvature term is

.

References

R. Whitaker and X. Xue. Variable-Conductance, Level-Set Curvature for Image Processing, ICIP 2001.

See also:

AnisotropicDiffusionFunction

Todo:

References

Definition at line 71 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

---

Member Typedef Documentation

template<class TImage> typedef Superclass::BoundaryNeighborhoodType itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::BoundaryNeighborhoodType

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 96 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 80 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::AnisotropicDiffusionFunction< TImage >. Definition at line 97 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 90 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 94 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 91 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 79 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 93 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Standard class typedefs. Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 77 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 78 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

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

Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 92 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

---

Constructor & Destructor Documentation

template<class TImage> itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::CurvatureNDAnisotropicDiffusionFunction (    )  [protected]

template<class TImage> itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::~CurvatureNDAnisotropicDiffusionFunction (    )  [inline, protected]

Definition at line 122 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

---

Member Function Documentation

template<class TImage> virtual PixelType itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::ComputeUpdate (  const BoundaryNeighborhoodType &    neighborhood, void *    globalData, const FloatOffsetType &    offset = m_ZeroOffset )  const [virtual]

Compute incremental update. Implements itk::FiniteDifferenceFunction< TImage >.

template<class TImage> virtual PixelType itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::ComputeUpdate (  const NeighborhoodType &    neighborhood, void *    globalData, const FloatOffsetType &    offset = m_ZeroOffset )  const [virtual]

Compute incremental update. Implements itk::FiniteDifferenceFunction< TImage >.

template<class TImage> virtual const char* itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::GetClassName (    )  const [virtual]

Run-time type information (and related methods) Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<class TImage> virtual void itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::InitializeIteration (    )  [inline, virtual]

This method is called prior to each iteration of the solver. Reimplemented from itk::FiniteDifferenceFunction< TImage >. Definition at line 114 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

template<class TImage> itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::itkStaticConstMacro (  ImageDimension   , unsigned    int, Superclass::ImageDimension    )

Inherit some parameters from the superclass type. Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >.

template<class TImage> Pointer itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::New (    )  [static]

Method for creation through the object factory. Reimplemented from itk::LightObject.

template<class TImage> void itk::CurvatureNDAnisotropicDiffusionFunction< TImage >::PrintSelf (  std::ostream &    os, Indent    indent )  const [inline, protected, virtual]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes. Reimplemented from itk::ScalarAnisotropicDiffusionFunction< TImage >. Definition at line 123 of file itkCurvatureNDAnisotropicDiffusionFunction.h.

---

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

• itkCurvatureNDAnisotropicDiffusionFunction.h

---