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itk::CurvesLevelSetFunction< TImageType, TFeatureImageType > Class Template Reference
[Finite Difference Functions]

This function is used in CurvesLevelSetImageFilter to segment structures in images based on user supplied edge potential map. More...

#include <itkCurvesLevelSetFunction.h>

Inheritance diagram for itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >:

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Collaboration diagram for itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >:

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List of all members.

Public Types

typedef CurvesLevelSetFunction Self
typedef SegmentationLevelSetFunction<
TImageType > 		Superclass
typedef LevelSetFunction<
TImageType > 		SuperSuperclass
typedef SmartPointer< Self > Pointer
typedef SmartPointer< const
Self > 		ConstPointer
typedef TFeatureImageType FeatureImageType
typedef SuperSuperclass::PixelType PixelType
typedef Superclass::ImageType ImageType
typedef Superclass::NeighborhoodType NeighborhoodType
typedef Superclass::ScalarValueType ScalarValueType
typedef Superclass::FeatureScalarType FeatureScalarType
typedef Superclass::RadiusType RadiusType
typedef SuperSuperclass::FloatOffsetType FloatOffsetType
typedef SuperSuperclass::GlobalDataStruct GlobalDataStruct
typedef Superclass::VectorImageType VectorImageType

Public Member Functions

virtual const char * GetNameOfClass () const
 itkStaticConstMacro (ImageDimension, unsigned int, Superclass::ImageDimension)
virtual void CalculateSpeedImage ()
virtual void CalculateAdvectionImage ()
virtual ScalarValueType CurvatureSpeed (const NeighborhoodType &neighborhood, const FloatOffsetType &offset, GlobalDataStruct *gd) const
virtual void Initialize (const RadiusType &r)
void SetDerivativeSigma (const double v)
double GetDerivativeSigma ()

Static Public Member Functions

Pointer New ()

Protected Member Functions

 CurvesLevelSetFunction ()
virtual ~CurvesLevelSetFunction ()
 CurvesLevelSetFunction (const Self &)
void operator= (const Self &)
void PrintSelf (std::ostream &os, Indent indent) const

Detailed Description

template<class TImageType, class TFeatureImageType = TImageType>
class itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >

This function is used in CurvesLevelSetImageFilter to segment structures in images based on user supplied edge potential map.

CurvesLevelSetFunction is a subclass of the generic LevelSetFunction.
It is useful for segmentations based on a user supplied edge potential map which has values close to zero in regions near edges (or high image gradient) and values close to one in regions with relatively constant intensity. Typically, the edge potential map is a function of the gradient, for example:

\[ g(I) = 1 / ( 1 + | (\nabla * G)(I)| ) \]

\[ g(I) = \exp^{-|(\nabla * G)(I)|} \]

where $ I $ is image intensity and $ (\nabla * G) $ is the derivative of Gaussian operator.

In this function both the propagation term $ (\nabla * G) $#32
and the curvature spatial modifier term $$ Z(\mathbf{x}) $ are taken directly from the edge potential image. The edge potential image is set via the SetFeatureImage() method. An advection term $ A(\mathbf{x}) $ is constructed from the negative gradient of the edge potential image. This term behaves like a doublet attracting the contour to the edges.
This implementation is based on:
L. Lorigo, O. Faugeras, W.E.L. Grimson, R. Keriven, R. Kikinis, A. Nabavi, and C.-F. Westin, Curves: Curve evolution for vessel segmentation. Medical Image Analysis, 5:195-206, 2001.
See also:
LevelSetFunction

SegmentationLevelSetImageFunction

GeodesicActiveContourLevelSetImageFilter

Definition at line 61 of file itkCurvesLevelSetFunction.h.

Member Typedef Documentation

template<class TImageType, class TFeatureImageType = TImageType>
typedef SmartPointer<const Self> itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::ConstPointer
 

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 70 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef TFeatureImageType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::FeatureImageType
 

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 71 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::FeatureScalarType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::FeatureScalarType
 

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 84 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef SuperSuperclass::FloatOffsetType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::FloatOffsetType
 

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

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 86 of file itkCurvesLevelSetFunction.h.

Referenced by itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CurvatureSpeed().

template<class TImageType, class TFeatureImageType = TImageType>
typedef SuperSuperclass::GlobalDataStruct itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::GlobalDataStruct
 

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 87 of file itkCurvesLevelSetFunction.h.

Referenced by itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CurvatureSpeed().

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::ImageType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::ImageType
 

Extract some parameters from the superclass.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 81 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::NeighborhoodType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::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::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 82 of file itkCurvesLevelSetFunction.h.

Referenced by itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CurvatureSpeed().

template<class TImageType, class TFeatureImageType = TImageType>
typedef SuperSuperclass::PixelType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::PixelType
 

Extract some parameters from the superclass.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 80 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef SmartPointer<Self> itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::Pointer
 

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 69 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::RadiusType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::RadiusType
 

Neighborhood radius type

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 85 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::ScalarValueType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::ScalarValueType
 

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 83 of file itkCurvesLevelSetFunction.h.

Referenced by itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CurvatureSpeed().

template<class TImageType, class TFeatureImageType = TImageType>
typedef CurvesLevelSetFunction itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::Self
 

Standard class typedefs.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 66 of file itkCurvesLevelSetFunction.h.

Referenced by itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::~CurvesLevelSetFunction().

template<class TImageType, class TFeatureImageType = TImageType>
typedef SegmentationLevelSetFunction<TImageType> itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::Superclass
 

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 67 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef LevelSetFunction<TImageType> itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::SuperSuperclass
 

Definition at line 68 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::VectorImageType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::VectorImageType
 

Define an image type for the advection field.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 88 of file itkCurvesLevelSetFunction.h.

Constructor & Destructor Documentation

template<class TImageType, class TFeatureImageType = TImageType>
itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CurvesLevelSetFunction (   )  [inline, protected]
 

Definition at line 116 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
virtual itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::~CurvesLevelSetFunction (   )  [inline, protected, virtual]
 

Definition at line 127 of file itkCurvesLevelSetFunction.h.

References itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::Self.

template<class TImageType, class TFeatureImageType = TImageType>
itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CurvesLevelSetFunction (  const Self &   )  [protected]
 

Member Function Documentation

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CalculateAdvectionImage (   )  [virtual]
 

Compute the advection field from feature image.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CalculateSpeedImage (   )  [virtual]
 

Compute speed image from feature image.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
virtual ScalarValueType itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::CurvatureSpeed (  const NeighborhoodType &  neighborhood,
const FloatOffsetType &  offset,
GlobalDataStruct *  gd
)  const [inline, virtual]
 

The curvature speed is same as the propagation speed.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 101 of file itkCurvesLevelSetFunction.h.

References itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::FloatOffsetType, itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::GlobalDataStruct, itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::NeighborhoodType, and itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::ScalarValueType.

template<class TImageType, class TFeatureImageType = TImageType>
double itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::GetDerivativeSigma (   )  [inline]
 

Set/Get the sigma for the Gaussian kernel used to compute the gradient of the feature image needed for the advection term of the equation.

Definition at line 109 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
virtual const char* itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::GetNameOfClass (   )  const [virtual]
 

Run-time type information (and related methods)

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::Initialize (  const RadiusType &  r  )  [virtual]
 

This method creates the appropriate member variable operators for the level-set calculations. The argument to this function is a the radius necessary for performing the level-set calculations.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::itkStaticConstMacro (  ImageDimension  ,
unsigned  int,
Superclass::ImageDimension 
) 
 

Extract some parameters from the superclass.

Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
Pointer itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::New (   )  [static]
 

Method for creation through the object factory.

Reimplemented from itk::LevelSetFunction< TImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::operator= (  const Self &   )  [protected]
 

Reimplemented from itk::LevelSetFunction< TImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::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::LevelSetFunction< TImageType >.

Definition at line 132 of file itkCurvesLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::CurvesLevelSetFunction< TImageType, TFeatureImageType >::SetDerivativeSigma (  const double  v  )  [inline]
 

Set/Get the sigma for the Gaussian kernel used to compute the gradient of the feature image needed for the advection term of the equation.

Definition at line 107 of file itkCurvesLevelSetFunction.h.

The documentation for this class was generated from the following file:
Generated at Thu May 25 00:45:05 2006 for ITK by doxygen 1.3.5 written by Dimitri van Heesch, © 1997-2000