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

#include <itkGeodesicActiveContourShapePriorLevelSetFunction.h>

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

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List of all members.

Detailed Description

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

This function is used in GeodesicActiveContourShapePriorSegmentationLevelSetFilter to segment structures in an image based on user supplied edge potential map and shape model.

IMPORTANT
The LevelSetFunction, SegmentationLevelSetFunction and ShapePriorSegmentationLevelSetFunction classes contain additional information necessary to gain full understanding of how to use this function.
GeodesicActiveContourShapePriorLevelSetFunction is a subclass of the generic LevelSetFunction. It is used to segment structures in an image based on a user supplied edge potential map $ g(I) $, 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.

The edge potential image is set via the SetFeatureImage() method.

In this function both the propagation term $ P(\mathbf{x}) $ and the curvature spatial modifier term $ Z(\mathbf{x}) $ are taken directly from the edge potential image such that:

\[ P(\mathbf{x}) = g(\mathbf{x}) \]

\[ Z(\mathbf{x}) = g(\mathbf{x}) \]

An advection term $ \mathbf{A}(\mathbf{x}) $ is constructed from the negative gradient of the edge potential image.

\[ \mathbf{A}(\matbf{x}) = -\nabla g(\mathbf{x}) \]

This term behaves like a doublet attracting the contour to the edges.

This class extends the basic LevelSetFunction with a shape prior term as developed in [1].

$ \zeta( \phi^{*} - \phi) $

where $ \phi^{*} $ is the signed distance function from a target shape and $ \zeta $ is a scalar constant.

The target shape signed distance function is supplied through a ShapeSignedDistanceFunction object. Typically, the shape is a function of a set of parameters.

See also:
LevelSetFunction

SegmentationLevelSetFunction

ShapePriorSegmentationLevelSetFunction

ShapeSignedDistanceFunction

REFERENCES
[1] Leventon, M.E. et al. "Statistical Shape Influence in Geodesic Active Contours", CVPR 2000.

Definition at line 91 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

Public Types

typedef SmartPointer< const
Self
ConstPointer
typedef Superclass::ContinuousIndexType ContinuousIndexType
typedef ZeroFluxNeumannBoundaryCondition<
ImageType
DefaultBoundaryConditionType
typedef TFeatureImageType FeatureImageType
typedef Superclass::FeatureScalarType FeatureScalarType
typedef Superclass::FloatOffsetType FloatOffsetType
typedef Superclass::GlobalDataStruct GlobalDataStruct
typedef Superclass::ImageType ImageType
typedef Superclass::IndexType IndexType
typedef LinearInterpolateImageFunction<
ImageType
InterpolatorType
typedef Superclass::NeighborhoodType NeighborhoodType
typedef double PixelRealType
typedef Superclass::PixelType PixelType
typedef SmartPointer< SelfPointer
typedef Superclass::RadiusType RadiusType
typedef Superclass::ScalarValueType ScalarValueType
typedef GeodesicActiveContourShapePriorLevelSetFunction Self
typedef ShapeFunctionType::ConstPointer ShapeFunctionPointer
typedef ShapeSignedDistanceFunction<
double, itkGetStaticConstMacro(ImageDimension)> 
ShapeFunctionType
typedef ShapePriorSegmentationLevelSetFunction<
TImageType, TFeatureImageType > 
Superclass
typedef Superclass::TimeStepType TimeStepType
typedef Superclass::VectorImageType VectorImageType
typedef VectorLinearInterpolateImageFunction<
VectorImageType
VectorInterpolatorType
typedef Superclass::VectorType VectorType

Public Member Functions

virtual void AllocateAdvectionImage ()
virtual void AllocateSpeedImage ()
virtual void CalculateAdvectionImage ()
virtual void CalculateSpeedImage ()
virtual ScalarValueType Compute3DMinimalCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
virtual TimeStepType ComputeGlobalTimeStep (void *globalData) const
virtual ScalarValueType ComputeMinimalCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
virtual PixelType ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &=FloatOffsetType(0.0))
virtual PixelType ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &=FloatOffsetType(0.0))
virtual Pointer CreateAnother () const
virtual ScalarValueType CurvatureSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const
virtual ScalarValueType CurvatureSpeed (const NeighborhoodType &neighborhood, const FloatOffsetType &offset, GlobalDataStruct *gd) const
virtual void Delete ()
virtual const char * GetNameOfClass () const
const RadiusTypeGetRadius () const
virtual int GetReferenceCount () const
virtual void Initialize (const RadiusType &r)
virtual void Initialize (const RadiusType &r)
virtual void InitializeIteration ()
 itkStaticConstMacro (ImageDimension, unsigned int, ImageType::ImageDimension)
 itkStaticConstMacro (ImageDimension, unsigned int, Superclass::ImageDimension)
virtual ScalarValueType LaplacianSmoothingSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const
void Print (std::ostream &os, Indent indent=0) const
virtual void Register () const
virtual void ReleaseGlobalDataPointer (void *GlobalData) const
virtual void ReverseExpansionDirection ()
void SetRadius (const RadiusType &r)
virtual void SetReferenceCount (int)
virtual void UnRegister () const
virtual ScalarValueType ComputeCurvatureTerm (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
virtual ScalarValueType ComputeMeanCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
virtual VectorImageTypeGetAdvectionImage () const
void SetAdvectionImage (VectorImageType *s)
ScalarValueType GetAdvectionWeight () const
virtual void SetAdvectionWeight (const ScalarValueType a)
ScalarValueType GetCurvatureWeight () const
virtual void SetCurvatureWeight (const ScalarValueType c)
double GetDerivativeSigma ()
void SetDerivativeSigma (const double v)
ScalarValueType GetEpsilonMagnitude () const
void SetEpsilonMagnitude (const ScalarValueType e)
virtual const FeatureImageTypeGetFeatureImage () const
virtual void SetFeatureImage (const FeatureImageType *f)
virtual void * GetGlobalDataPointer () const
ScalarValueType GetLaplacianSmoothingWeight () const
void SetLaplacianSmoothingWeight (const ScalarValueType c)
ScalarValueType GetPropagationWeight () const
virtual void SetPropagationWeight (const ScalarValueType p)
const ShapeFunctionTypeGetShapeFunction () const
void SetShapeFunction (const ShapeFunctionType *ptr)
ScalarValueType GetShapePriorWeight () const
void SetShapePriorWeight (const ScalarValueType p)
virtual ImageTypeGetSpeedImage ()
void SetSpeedImage (ImageType *s)
bool GetUseMinimalCurvature () const
void SetUseMinimalCurvature (bool b)
void UseMinimalCurvatureOff ()
void UseMinimalCurvatureOn ()
void SetScaleCoefficients (PixelRealType vals[ImageDimension])

Static Public Member Functions

static void BreakOnError ()
static Pointer New ()
static double GetMaximumCurvatureTimeStep ()
static void SetMaximumCurvatureTimeStep (double n)
static double GetMaximumPropagationTimeStep ()
static void SetMaximumPropagationTimeStep (double n)

Protected Member Functions

virtual VectorType AdvectionField (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd) const
 GeodesicActiveContourShapePriorLevelSetFunction (const Self &)
 GeodesicActiveContourShapePriorLevelSetFunction ()
void operator= (const Self &)
void PrintSelf (std::ostream &os, Indent indent) const
virtual ScalarValueType PropagationSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd) const
virtual ~GeodesicActiveContourShapePriorLevelSetFunction ()
virtual void PrintHeader (std::ostream &os, Indent indent) const
virtual void PrintTrailer (std::ostream &os, Indent indent) const

Static Protected Member Functions

static VectorType InitializeZeroVectorConstant ()

Protected Attributes

VectorImageType::Pointer m_AdvectionImage
ScalarValueType m_AdvectionWeight
::vcl_size_t m_Center
ScalarValueType m_CurvatureWeight
ScalarValueType m_EpsilonMagnitude
FeatureImageType::ConstPointer m_FeatureImage
InterpolatorType::Pointer m_Interpolator
ScalarValueType m_LaplacianSmoothingWeight
ScalarValueType m_PropagationWeight
RadiusType m_Radius
volatile int m_ReferenceCount
SimpleFastMutexLock m_ReferenceCountLock
PixelRealType m_ScaleCoefficients [ImageDimension]
ImageType::Pointer m_SpeedImage
bool m_UseMinimalCurvature
Functor::VectorCast< typename
VectorInterpolatorType::OutputType,
VectorType
m_VectorCast
VectorInterpolatorType::Pointer m_VectorInterpolator
::vcl_size_t m_xStride [itkGetStaticConstMacro(ImageDimension)]
std::slice x_slice [itkGetStaticConstMacro(ImageDimension)]

Static Protected Attributes

static double m_DT
static double m_WaveDT
static VectorType m_ZeroVectorConstant


Member Typedef Documentation

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

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

Definition at line 99 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::ContinuousIndexType itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ContinuousIndexType [inherited]

Continuous index type recognized by the interpolator

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

Definition at line 81 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType>
typedef ZeroFluxNeumannBoundaryCondition<ImageType> itk::FiniteDifferenceFunction< TImageType >::DefaultBoundaryConditionType [inherited]

The default boundary condition for finite difference functions that is used unless overridden in the Evaluate() method.

Definition at line 93 of file itkFiniteDifferenceFunction.h.

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

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

Definition at line 100 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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

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

Definition at line 113 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::FloatOffsetType itk::GeodesicActiveContourShapePriorLevelSetFunction< TImageType, TFeatureImageType >::FloatOffsetType

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

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

Definition at line 115 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::GlobalDataStruct itk::GeodesicActiveContourShapePriorLevelSetFunction< TImageType, TFeatureImageType >::GlobalDataStruct

A global data type used to store values needed to compute the time step.

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

Definition at line 117 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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

Extract some parameters from the superclass.

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

Definition at line 107 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::IndexType itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::IndexType [inherited]

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

Definition at line 80 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef LinearInterpolateImageFunction<ImageType> itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::InterpolatorType [inherited]

Define a scalar interpolator

Definition at line 78 of file itkSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::NeighborhoodType itk::GeodesicActiveContourShapePriorLevelSetFunction< 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::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 111 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType>
typedef double itk::FiniteDifferenceFunction< TImageType >::PixelRealType [inherited]

Definition at line 82 of file itkFiniteDifferenceFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::PixelType itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::PixelType [inherited]

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 78 of file itkShapePriorSegmentationLevelSetFunction.h.

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

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

Definition at line 98 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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

Neighborhood radius type

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

Definition at line 114 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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

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

Definition at line 112 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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

Standard class typedefs.

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

Definition at line 96 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef ShapeFunctionType::ConstPointer itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ShapeFunctionPointer [inherited]

Definition at line 90 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef ShapeSignedDistanceFunction<double, itkGetStaticConstMacro(ImageDimension)> itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ShapeFunctionType [inherited]

ShapeFunction typedef support.

Definition at line 89 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef ShapePriorSegmentationLevelSetFunction<TImageType,TFeatureImageType> itk::GeodesicActiveContourShapePriorLevelSetFunction< TImageType, TFeatureImageType >::Superclass

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

Definition at line 97 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::TimeStepType itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::TimeStepType [inherited]

Convenient typedefs.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 79 of file itkShapePriorSegmentationLevelSetFunction.h.

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

Define an image type for the advection field.

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

Definition at line 116 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef VectorLinearInterpolateImageFunction<VectorImageType> itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::VectorInterpolatorType [inherited]

Define a vector interpolator

Definition at line 81 of file itkSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
typedef Superclass::VectorType itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::VectorType [inherited]

The vector type that will be used in the calculations.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 67 of file itkSegmentationLevelSetFunction.h.


Constructor & Destructor Documentation

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

Definition at line 153 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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

Definition at line 163 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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


Member Function Documentation

template<class TImageType, class TFeatureImageType = TImageType>
virtual VectorType itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::AdvectionField ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd 
) const [protected, virtual, inherited]

Advection field. Returns a vector from the computed advectionfield.

Reimplemented from itk::LevelSetFunction< TImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::AllocateAdvectionImage (  )  [virtual, inherited]

Allocates the image that will be used for the level set function's Advection field term. See LevelSetFunction for more information.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::AllocateSpeedImage (  )  [virtual, inherited]

Allocates the image that will be used for the level set function's Propagation Speed term. See LevelSetFunction for more information.

static void itk::LightObject::BreakOnError (  )  [static, inherited]

This method is called when itkExceptionMacro executes. It allows the debugger to break on error.

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

Compute speed image from feature image.

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

template<class TImageType>
virtual ScalarValueType itk::LevelSetFunction< TImageType >::Compute3DMinimalCurvature ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
) [virtual, inherited]

template<class TImageType>
virtual ScalarValueType itk::LevelSetFunction< TImageType >::ComputeCurvatureTerm ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
) [virtual, inherited]

template<class TImageType, class TFeatureImageType = TImageType>
virtual TimeStepType itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ComputeGlobalTimeStep ( void *  globalData  )  const [virtual, inherited]

Compute global time step from the global data structure.

Reimplemented from itk::LevelSetFunction< TImageType >.

template<class TImageType>
virtual ScalarValueType itk::LevelSetFunction< TImageType >::ComputeMeanCurvature ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
) [virtual, inherited]

template<class TImageType>
virtual ScalarValueType itk::LevelSetFunction< TImageType >::ComputeMinimalCurvature ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
) [virtual, inherited]

template<class TImageType>
virtual PixelType itk::LevelSetFunction< TImageType >::ComputeUpdate ( const NeighborhoodType neighborhood,
void *  globalData,
const FloatOffsetType = FloatOffsetType(0.0) 
) [virtual, inherited]

Compute the equation value.

Implements itk::FiniteDifferenceFunction< TImageType >.

template<class TImageType, class TFeatureImageType = TImageType>
virtual PixelType itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ComputeUpdate ( const NeighborhoodType neighborhood,
void *  globalData,
const FloatOffsetType = FloatOffsetType(0.0) 
) [virtual, inherited]

Compute the equation value with the additional shape prior term.

virtual Pointer itk::LightObject::CreateAnother (  )  const [virtual, inherited]

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 in itk::Object.

template<class TImageType>
virtual ScalarValueType itk::LevelSetFunction< TImageType >::CurvatureSpeed ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct = 0 
) const [inline, virtual, inherited]

Curvature speed. Can be used to spatially modify the effects of curvature . The default implementation returns one.

Definition at line 135 of file itkLevelSetFunction.h.

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

The curvature speed is same as the propagation speed.

Definition at line 130 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

virtual void itk::LightObject::Delete (  )  [virtual, inherited]

Delete an itk object. This method should always be used to delete an object when the new operator was used to create it. Using the C delete method will not work with reference counting.

template<class TImageType, class TFeatureImageType = TImageType>
virtual VectorImageType* itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetAdvectionImage (  )  const [inline, virtual, inherited]

Get/Set the image used as the advection field in the level set equation

Definition at line 100 of file itkSegmentationLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::GetAdvectionWeight (  )  const [inline, inherited]

Definition at line 150 of file itkLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::GetCurvatureWeight (  )  const [inline, inherited]

Definition at line 164 of file itkLevelSetFunction.h.

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

Definition at line 138 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::GetEpsilonMagnitude (  )  const [inline, inherited]

Definition at line 178 of file itkLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
virtual const FeatureImageType* itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetFeatureImage (  )  const [inline, virtual, inherited]

Set/Get the image which will be used to calculate the speed function.

Definition at line 87 of file itkSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void* itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetGlobalDataPointer (  )  const [inline, virtual, inherited]

Returns a pointer to a global data structure for computing time step.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 124 of file itkShapePriorSegmentationLevelSetFunction.h.

References itk::LevelSetFunction< TImageType >::GlobalDataStruct::m_MaxAdvectionChange, itk::LevelSetFunction< TImageType >::GlobalDataStruct::m_MaxCurvatureChange, itk::LevelSetFunction< TImageType >::GlobalDataStruct::m_MaxPropagationChange, and itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ShapePriorGlobalDataStruct::m_MaxShapePriorChange.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::GetLaplacianSmoothingWeight (  )  const [inline, inherited]

Definition at line 171 of file itkLevelSetFunction.h.

template<class TImageType>
static double itk::LevelSetFunction< TImageType >::GetMaximumCurvatureTimeStep (  )  [inline, static, inherited]

Definition at line 272 of file itkLevelSetFunction.h.

template<class TImageType>
static double itk::LevelSetFunction< TImageType >::GetMaximumPropagationTimeStep (  )  [inline, static, inherited]

Definition at line 286 of file itkLevelSetFunction.h.

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

Run-time type information (and related methods)

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

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::GetPropagationWeight (  )  const [inline, inherited]

Definition at line 157 of file itkLevelSetFunction.h.

template<class TImageType>
const RadiusType& itk::FiniteDifferenceFunction< TImageType >::GetRadius ( void   )  const [inline, inherited]

Returns the radius of the neighborhood this FiniteDifferenceFunction needs to perform its calculations.

Definition at line 143 of file itkFiniteDifferenceFunction.h.

virtual int itk::LightObject::GetReferenceCount (  )  const [inline, virtual, inherited]

Gets the reference count on this object.

Definition at line 98 of file itkLightObject.h.

template<class TImageType, class TFeatureImageType = TImageType>
const ShapeFunctionType* itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetShapeFunction (  )  const [inline, inherited]

Definition at line 103 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
ScalarValueType itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetShapePriorWeight (  )  const [inline, inherited]

Definition at line 95 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
virtual ImageType* itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::GetSpeedImage (  )  [inline, virtual, inherited]

Get/Set the image used as the speed function in the level set equation

Definition at line 94 of file itkSegmentationLevelSetFunction.h.

template<class TImageType>
bool itk::LevelSetFunction< TImageType >::GetUseMinimalCurvature (  )  const [inline, inherited]

Definition at line 250 of file itkLevelSetFunction.h.

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

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::LevelSetFunction< TImageType >.

Referenced by itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSegmentationFunction().

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

Definition at line 142 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType>
virtual void itk::FiniteDifferenceFunction< TImageType >::InitializeIteration (  )  [inline, virtual, inherited]

This method allows the function to set its state before each iteration of the finite difference solver (image filter) that uses it. This is a thread-safe time to manipulate the object's state.

An example of how this can be used: the Anisotropic diffusion class of FiniteDifferenceFunctions use this method to pre-calculate an average gradient magnitude across the entire image region. This value is set in the function object and used by the ComputeUpdate methods that are called at each pixel as a constant.

Reimplemented in itk::DemonsRegistrationFunction< TFixedImage, TMovingImage, TDeformationField >, itk::FastSymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDeformationField >, itk::LevelSetMotionRegistrationFunction< TFixedImage, TMovingImage, TDeformationField >, itk::MeanSquareRegistrationFunction< TFixedImage, TMovingImage, TDeformationField >, itk::MIRegistrationFunction< TFixedImage, TMovingImage, TDeformationField >, itk::NCCRegistrationFunction< TFixedImage, TMovingImage, TDeformationField >, itk::SymmetricForcesDemonsRegistrationFunction< TFixedImage, TMovingImage, TDeformationField >, itk::CurvatureNDAnisotropicDiffusionFunction< TImage >, itk::GradientNDAnisotropicDiffusionFunction< TImage >, itk::VectorCurvatureNDAnisotropicDiffusionFunction< TImage >, and itk::VectorGradientNDAnisotropicDiffusionFunction< TImage >.

Definition at line 115 of file itkFiniteDifferenceFunction.h.

template<class TImageType>
static VectorType itk::LevelSetFunction< TImageType >::InitializeZeroVectorConstant (  )  [static, protected, inherited]

This method's only purpose is to initialize the zero vector constant.

template<class TImageType>
itk::FiniteDifferenceFunction< TImageType >::itkStaticConstMacro ( ImageDimension  ,
unsigned  int,
ImageType::ImageDimension   
) [inherited]

Save image dimension.

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

Extract some parameters from the superclass.

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

template<class TImageType>
virtual ScalarValueType itk::LevelSetFunction< TImageType >::LaplacianSmoothingSpeed ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct = 0 
) const [inline, virtual, inherited]

Laplacian smoothing speed. Can be used to spatially modify the effects of laplacian smoothing of the level set function

Definition at line 142 of file itkLevelSetFunction.h.

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

Method for creation through the object factory.

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

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

void itk::LightObject::Print ( std::ostream &  os,
Indent  indent = 0 
) const [inherited]

Cause the object to print itself out.

Referenced by itk::WeakPointer< itk::ProcessObject >::Print().

virtual void itk::LightObject::PrintHeader ( std::ostream &  os,
Indent  indent 
) const [protected, virtual, inherited]

template<class TImageType, class TFeatureImageType = TImageType>
void itk::GeodesicActiveContourShapePriorLevelSetFunction< 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::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >.

Definition at line 168 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

References HardConnectedComponentImageFilter::PrintSelf().

virtual void itk::LightObject::PrintTrailer ( std::ostream &  os,
Indent  indent 
) const [protected, virtual, inherited]

template<class TImageType, class TFeatureImageType = TImageType>
virtual ScalarValueType itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::PropagationSpeed ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd 
) const [protected, virtual, inherited]

Returns the propagation speed from the precalculated speed image.

Reimplemented from itk::LevelSetFunction< TImageType >.

virtual void itk::LightObject::Register (  )  const [virtual, inherited]

Increase the reference count (mark as used by another object).

Reimplemented in itk::Object.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::ReleaseGlobalDataPointer ( void *  GlobalData  )  const [inline, virtual, inherited]

Release the global data structure.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 136 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::ReverseExpansionDirection (  )  [virtual, inherited]

Determines whether Positive or Negative speed terms will cause surface expansion. This method flips the sign of all of the speed, advection, etc terms. By convention, filters should be written so that POSITIVE speed terms cause surface expansion. Calling this method will toggle between the standard POSITIVE EXPANSION convention and the nonstandard NEGATIVE EXPANSION convention.

IMPORTANT: When adding terms to the level-set equation through subclassing you may need to override this function so that your new terms will be properly adjusted.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetAdvectionImage ( VectorImageType s  )  [inherited]

Get/Set the image used as the advection field in the level set equation

template<class TImageType>
virtual void itk::LevelSetFunction< TImageType >::SetAdvectionWeight ( const ScalarValueType  a  )  [inline, virtual, inherited]

Alpha. Scales all advection term values.

Definition at line 148 of file itkLevelSetFunction.h.

template<class TImageType>
virtual void itk::LevelSetFunction< TImageType >::SetCurvatureWeight ( const ScalarValueType  c  )  [inline, virtual, inherited]

Gamma. Scales all curvature weight values

Definition at line 162 of file itkLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::GeodesicActiveContourShapePriorLevelSetFunction< 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 136 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

template<class TImageType>
void itk::LevelSetFunction< TImageType >::SetEpsilonMagnitude ( const ScalarValueType  e  )  [inline, inherited]

Epsilon.

Definition at line 176 of file itkLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
virtual void itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetFeatureImage ( const FeatureImageType f  )  [inline, virtual, inherited]

Set/Get the image which will be used to calculate the speed function.

Definition at line 89 of file itkSegmentationLevelSetFunction.h.

template<class TImageType>
void itk::LevelSetFunction< TImageType >::SetLaplacianSmoothingWeight ( const ScalarValueType  c  )  [inline, inherited]

Weight of the laplacian smoothing term

Definition at line 169 of file itkLevelSetFunction.h.

template<class TImageType>
static void itk::LevelSetFunction< TImageType >::SetMaximumCurvatureTimeStep ( double  n  )  [inline, static, inherited]

Set/Get the maximum constraint for the curvature term factor in the time step calculation. Changing this value from the default is not recommended or necessary, but can be used to speed up the surface evolution at the risk of creating an unstable solution.

Definition at line 268 of file itkLevelSetFunction.h.

template<class TImageType>
static void itk::LevelSetFunction< TImageType >::SetMaximumPropagationTimeStep ( double  n  )  [inline, static, inherited]

Set/Get the maximum constraint for the scalar/vector term factor of the time step calculation. Changing this value from the default is not recommended or necessary, but can be used to speed up the surface evolution at the risk of creating an unstable solution.

Definition at line 282 of file itkLevelSetFunction.h.

template<class TImageType>
virtual void itk::LevelSetFunction< TImageType >::SetPropagationWeight ( const ScalarValueType  p  )  [inline, virtual, inherited]

Beta. Scales all propagation term values.

Definition at line 155 of file itkLevelSetFunction.h.

template<class TImageType>
void itk::FiniteDifferenceFunction< TImageType >::SetRadius ( const RadiusType r  )  [inline, inherited]

Sets the radius of the neighborhood this FiniteDifferenceFunction needs to perform its calculations.

Definition at line 138 of file itkFiniteDifferenceFunction.h.

virtual void itk::LightObject::SetReferenceCount ( int   )  [virtual, inherited]

Sets the reference count on this object. This is a dangerous method, use it with care.

Reimplemented in itk::Object.

template<class TImageType>
void itk::FiniteDifferenceFunction< TImageType >::SetScaleCoefficients ( PixelRealType  vals[ImageDimension]  )  [inline, inherited]

Set the ScaleCoefficients for the difference operators. The defaults a 1.0. These can be set to take the image spacing into account.

Definition at line 149 of file itkFiniteDifferenceFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetShapeFunction ( const ShapeFunctionType ptr  )  [inline, inherited]

The ShapeFunction encapsulates the signed distance to the shape used to influence the evolution of the level set.

Definition at line 101 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetShapePriorWeight ( const ScalarValueType  p  )  [inline, inherited]

Zeta. The ShapePriorWeight scales the shape prior term values.

Definition at line 93 of file itkShapePriorSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
void itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::SetSpeedImage ( ImageType s  )  [inherited]

Get/Set the image used as the speed function in the level set equation

template<class TImageType>
void itk::LevelSetFunction< TImageType >::SetUseMinimalCurvature ( bool  b  )  [inline, inherited]

Definition at line 246 of file itkLevelSetFunction.h.

virtual void itk::LightObject::UnRegister (  )  const [virtual, inherited]

Decrease the reference count (release by another object).

Reimplemented in itk::Object.

template<class TImageType>
void itk::LevelSetFunction< TImageType >::UseMinimalCurvatureOff (  )  [inline, inherited]

Definition at line 258 of file itkLevelSetFunction.h.

template<class TImageType>
void itk::LevelSetFunction< TImageType >::UseMinimalCurvatureOn (  )  [inline, inherited]

Definition at line 254 of file itkLevelSetFunction.h.


Member Data Documentation

template<class TImageType, class TFeatureImageType = TImageType>
VectorImageType::Pointer itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_AdvectionImage [protected, inherited]

The image holding the advection field for front propation

Definition at line 151 of file itkSegmentationLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::m_AdvectionWeight [protected, inherited]

Alpha.

Definition at line 330 of file itkLevelSetFunction.h.

template<class TImageType>
:: vcl_size_t itk::LevelSetFunction< TImageType >::m_Center [protected, inherited]

The offset of the center pixel in the neighborhood.

Definition at line 312 of file itkLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::m_CurvatureWeight [protected, inherited]

Gamma.

Definition at line 336 of file itkLevelSetFunction.h.

template<class TImageType>
double itk::LevelSetFunction< TImageType >::m_DT [static, protected, inherited]

Definition at line 306 of file itkLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::m_EpsilonMagnitude [protected, inherited]

Epsilon magnitude controls the lower limit for gradient magnitude.

Definition at line 327 of file itkLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
FeatureImageType::ConstPointer itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_FeatureImage [protected, inherited]

The image whose features will be used to create a speed image

Definition at line 145 of file itkSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
InterpolatorType::Pointer itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_Interpolator [protected, inherited]

Definition at line 175 of file itkSegmentationLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::m_LaplacianSmoothingWeight [protected, inherited]

Laplacean smoothing term

Definition at line 339 of file itkLevelSetFunction.h.

template<class TImageType>
ScalarValueType itk::LevelSetFunction< TImageType >::m_PropagationWeight [protected, inherited]

Beta.

Definition at line 333 of file itkLevelSetFunction.h.

template<class TImageType>
RadiusType itk::FiniteDifferenceFunction< TImageType >::m_Radius [protected, inherited]

Definition at line 195 of file itkFiniteDifferenceFunction.h.

volatile int itk::LightObject::m_ReferenceCount [mutable, protected, inherited]

Number of uses of this object by other objects.

Definition at line 119 of file itkLightObject.h.

SimpleFastMutexLock itk::LightObject::m_ReferenceCountLock [mutable, protected, inherited]

Mutex lock to protect modification to the reference count

Definition at line 122 of file itkLightObject.h.

template<class TImageType>
PixelRealType itk::FiniteDifferenceFunction< TImageType >::m_ScaleCoefficients[ImageDimension] [protected, inherited]

Definition at line 196 of file itkFiniteDifferenceFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
ImageType::Pointer itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_SpeedImage [protected, inherited]

The image holding the speed values for front propagation

Definition at line 148 of file itkSegmentationLevelSetFunction.h.

template<class TImageType>
bool itk::LevelSetFunction< TImageType >::m_UseMinimalCurvature [protected, inherited]

Definition at line 317 of file itkLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
Functor::VectorCast< typename VectorInterpolatorType::OutputType, VectorType > itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_VectorCast [protected, inherited]

A casting functor to convert between vector types.

Definition at line 155 of file itkSegmentationLevelSetFunction.h.

template<class TImageType, class TFeatureImageType = TImageType>
VectorInterpolatorType::Pointer itk::SegmentationLevelSetFunction< TImageType, TFeatureImageType >::m_VectorInterpolator [protected, inherited]

Definition at line 176 of file itkSegmentationLevelSetFunction.h.

template<class TImageType>
double itk::LevelSetFunction< TImageType >::m_WaveDT [static, protected, inherited]

Constants used in the time step calculation.

Definition at line 305 of file itkLevelSetFunction.h.

template<class TImageType>
:: vcl_size_t itk::LevelSetFunction< TImageType >::m_xStride[itkGetStaticConstMacro(ImageDimension)] [protected, inherited]

Stride length along the y-dimension.

Definition at line 315 of file itkLevelSetFunction.h.

template<class TImageType>
VectorType itk::LevelSetFunction< TImageType >::m_ZeroVectorConstant [static, protected, inherited]

Zero vector constant.

Definition at line 324 of file itkLevelSetFunction.h.

template<class TImageType>
std::slice itk::LevelSetFunction< TImageType >::x_slice[itkGetStaticConstMacro(ImageDimension)] [protected, inherited]

Slices for the ND neighborhood.

Definition at line 309 of file itkLevelSetFunction.h.


The documentation for this class was generated from the following file:
Generated at Sun Sep 23 17:10:49 2007 for ITK by doxygen 1.5.1 written by Dimitri van Heesch, © 1997-2000