ITK  5.0.0
Insight Segmentation and Registration Toolkit
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itk::LevelSetFunction< TImageType > Class Template Reference

#include <itkLevelSetFunction.h>

+ Inheritance diagram for itk::LevelSetFunction< TImageType >:
+ Collaboration diagram for itk::LevelSetFunction< TImageType >:

Detailed Description

template<typename TImageType>
class itk::LevelSetFunction< TImageType >

The LevelSetFunction class is a generic function object which can be used to create a level set method filter when combined with an appropriate finite difference image filter. (See FiniteDifferenceImageFilter.)

LevelSetFunction implements a generic level set function. This function is an expanded form of the basic equation developed in [1].

$\phi_{t} + \alpha \stackrel{\rightharpoonup}{A}(\mathbf{x})\cdot\nabla\phi + \beta P(\mathbf{x})\mid\nabla\phi\mid = \gamma Z(\mathbf{x})\kappa\mid\nabla\phi\mid$

where $ \stackrel{\rightharpoonup}{A} $ is an advection term, $ P $ is a propagation (growth) term, and $ Z $ is a spatial modifier term for the mean curvature $ \kappa $. $ \alpha $, $ \beta $, and $ \gamma $ are all scalar constants.

Terms in the equation above are supplied through virtual methods, which must be subclassed to complete an implementation. Terms can be eliminated from the equation by setting the corresponding constants to zero. A wide variety of level set methods can be implemented by subclassing this basic equation.

In ITK, the usual sign convention is that the INSIDE of a surface contains NEGATIVE values and the OUTSIDE of the surface contains POSITIVE values.

Warning
You MUST call Initialize() in the constructor of subclasses of this object to set it up properly to do level-set Calculations. The argument that you pass Initialize is the radius of the neighborhood needed to perform the calculations. If your subclass does not do any additional neighborhood processing, then the default radius should be 1 in each direction.
REFERENCES
[1] Sethian, J.A. Level Set Methods. Cambridge University Press. 1996.

Definition at line 66 of file itkLevelSetFunction.h.

Classes

struct  GlobalDataStruct
 

Public Types

using ConstPointer = SmartPointer< const Self >
 
using FloatOffsetType = typename Superclass::FloatOffsetType
 
using ImageType = typename Superclass::ImageType
 
using NeighborhoodScalesType = typename Superclass::NeighborhoodScalesType
 
using NeighborhoodType = typename Superclass::NeighborhoodType
 
using PixelRealType = typename Superclass::PixelRealType
 
using PixelType = typename Superclass::PixelType
 
using Pointer = SmartPointer< Self >
 
using RadiusType = typename Superclass::RadiusType
 
using ScalarValueType = PixelType
 
using Self = LevelSetFunction
 
using Superclass = FiniteDifferenceFunction< TImageType >
 
using TimeStepType = double
 
using VectorType = FixedArray< ScalarValueType, Self::ImageDimension >
 
- Public Types inherited from itk::FiniteDifferenceFunction< TImageType >
using ConstPointer = SmartPointer< const Self >
 
using DefaultBoundaryConditionType = ZeroFluxNeumannBoundaryCondition< ImageType >
 
using FloatOffsetType = Vector< float, Self::ImageDimension >
 
using ImageType = TImageType
 
using NeighborhoodScalesType = Vector< PixelRealType, Self::ImageDimension >
 
using NeighborhoodType = ConstNeighborhoodIterator< TImageType, DefaultBoundaryConditionType >
 
using PixelRealType = double
 
using PixelType = typename ImageType::PixelType
 
using Pointer = SmartPointer< Self >
 
using RadiusType = typename ConstNeighborhoodIterator< TImageType >::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

virtual VectorType AdvectionField (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const
 
virtual ScalarValueType Compute3DMinimalCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
 
virtual ScalarValueType ComputeCurvatureTerm (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
 
TimeStepType ComputeGlobalTimeStep (void *GlobalData) const override
 
virtual ScalarValueType ComputeMeanCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
 
virtual ScalarValueType ComputeMinimalCurvature (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd=0)
 
PixelType ComputeUpdate (const NeighborhoodType &neighborhood, void *globalData, const FloatOffsetType &=FloatOffsetType(0.0)) override
 
virtual ::itk::LightObject::Pointer CreateAnother () const
 
virtual ScalarValueType CurvatureSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=nullptr) const
 
void * GetGlobalDataPointer () const override
 
virtual const char * GetNameOfClass () const
 
bool GetUseMinimalCurvature () const
 
virtual void Initialize (const RadiusType &r)
 
virtual ScalarValueType LaplacianSmoothingSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const
 
virtual ScalarValueType PropagationSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *=0) const
 
void ReleaseGlobalDataPointer (void *GlobalData) const override
 
void SetUseMinimalCurvature (bool b)
 
void UseMinimalCurvatureOff ()
 
void UseMinimalCurvatureOn ()
 
virtual void SetAdvectionWeight (const ScalarValueType a)
 
ScalarValueType GetAdvectionWeight () const
 
virtual void SetPropagationWeight (const ScalarValueType p)
 
ScalarValueType GetPropagationWeight () const
 
virtual void SetCurvatureWeight (const ScalarValueType c)
 
ScalarValueType GetCurvatureWeight () const
 
void SetLaplacianSmoothingWeight (const ScalarValueType c)
 
ScalarValueType GetLaplacianSmoothingWeight () const
 
void SetEpsilonMagnitude (const ScalarValueType e)
 
ScalarValueType GetEpsilonMagnitude () const
 
- Public Member Functions inherited from itk::FiniteDifferenceFunction< TImageType >
const NeighborhoodScalesType ComputeNeighborhoodScales () const
 
const RadiusTypeGetRadius () const
 
void GetScaleCoefficients (PixelRealType vals[ImageDimension]) const
 
virtual void InitializeIteration ()
 
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 double GetMaximumCurvatureTimeStep ()
 
static double GetMaximumPropagationTimeStep ()
 
static Pointer New ()
 
static void SetMaximumCurvatureTimeStep (double n)
 
static void SetMaximumPropagationTimeStep (double n)
 
- 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::FiniteDifferenceFunction< TImageType >
static constexpr unsigned int ImageDimension = ImageType::ImageDimension
 

Protected Member Functions

 LevelSetFunction ()
 
void PrintSelf (std::ostream &s, Indent indent) const override
 
 ~LevelSetFunction () override=default
 
- Protected Member Functions inherited from itk::FiniteDifferenceFunction< TImageType >
 FiniteDifferenceFunction ()
 
 ~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 ()
 

Static Protected Member Functions

static VectorType InitializeZeroVectorConstant ()
 

Protected Attributes

ScalarValueType m_AdvectionWeight
 
OffsetValueType m_Center {0}
 
ScalarValueType m_CurvatureWeight
 
ScalarValueType m_EpsilonMagnitude
 
ScalarValueType m_LaplacianSmoothingWeight
 
ScalarValueType m_PropagationWeight
 
bool m_UseMinimalCurvature {false}
 
OffsetValueType m_xStride [Self::ImageDimension]
 
std::slice x_slice [Self::ImageDimension]
 
- Protected Attributes inherited from itk::FiniteDifferenceFunction< TImageType >
RadiusType m_Radius
 
PixelRealType m_ScaleCoefficients [ImageDimension]
 
- Protected Attributes inherited from itk::LightObject
std::atomic< int > m_ReferenceCount
 

Static Protected Attributes

static double m_DT
 
static double m_WaveDT
 
static VectorType m_ZeroVectorConstant
 

Member Typedef Documentation

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::ConstPointer = SmartPointer< const Self >

Definition at line 76 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::FloatOffsetType = typename Superclass::FloatOffsetType

Definition at line 96 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::ImageType = typename Superclass::ImageType

Definition at line 89 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::NeighborhoodScalesType = typename Superclass::NeighborhoodScalesType

Definition at line 95 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::NeighborhoodType = typename Superclass::NeighborhoodType

Definition at line 94 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::PixelRealType = typename Superclass::PixelRealType

Definition at line 92 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::PixelType = typename Superclass::PixelType

Definition at line 90 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::Pointer = SmartPointer< Self >

Definition at line 75 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::RadiusType = typename Superclass::RadiusType

Definition at line 93 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::ScalarValueType = PixelType

Definition at line 91 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::Self = LevelSetFunction

Standard class type aliases.

Definition at line 73 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::Superclass = FiniteDifferenceFunction< TImageType >

Definition at line 74 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::TimeStepType = double

Convenient type alias.

Definition at line 88 of file itkLevelSetFunction.h.

template<typename TImageType >
using itk::LevelSetFunction< TImageType >::VectorType = FixedArray< ScalarValueType, Self::ImageDimension >

The vector type that will be used in the calculations.

Definition at line 100 of file itkLevelSetFunction.h.

Constructor & Destructor Documentation

template<typename TImageType >
itk::LevelSetFunction< TImageType >::LevelSetFunction ( )
inlineprotected

Definition at line 300 of file itkLevelSetFunction.h.

template<typename TImageType >
itk::LevelSetFunction< TImageType >::~LevelSetFunction ( )
overrideprotecteddefault

Member Function Documentation

template<typename TImageType >
virtual VectorType itk::LevelSetFunction< TImageType >::AdvectionField ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct = 0 
) const
inlinevirtual

Advection field. Default implementation returns a vector of zeros.

Definition at line 127 of file itkLevelSetFunction.h.

template<typename TImageType >
virtual ScalarValueType itk::LevelSetFunction< TImageType >::Compute3DMinimalCurvature ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
)
virtual
template<typename TImageType >
virtual ScalarValueType itk::LevelSetFunction< TImageType >::ComputeCurvatureTerm ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
)
virtual
template<typename TImageType >
TimeStepType itk::LevelSetFunction< TImageType >::ComputeGlobalTimeStep ( void *  GlobalData) const
overridevirtual

Computes the time step for an update given a global data structure. The data used in the computation may take different forms depending on the nature of the equations. This global data cannot be kept in the instance of the equation object itself since the equation object must remain stateless for thread safety. The global data is therefore managed for each thread by the finite difference solver filters.

Implements itk::FiniteDifferenceFunction< TImageType >.

Reimplemented in itk::LevelSetFunctionWithRefitTerm< TImageType, TSparseImageType >, and itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >.

template<typename TImageType >
virtual ScalarValueType itk::LevelSetFunction< TImageType >::ComputeMeanCurvature ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
)
virtual
template<typename TImageType >
virtual ScalarValueType itk::LevelSetFunction< TImageType >::ComputeMinimalCurvature ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct gd = 0 
)
virtual
template<typename TImageType >
PixelType itk::LevelSetFunction< TImageType >::ComputeUpdate ( const NeighborhoodType neighborhood,
void *  globalData,
const FloatOffsetType = FloatOffsetType(0.0) 
)
overridevirtual
template<typename TImageType >
virtual::itk::LightObject::Pointer itk::LevelSetFunction< TImageType >::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.

Reimplemented in itk::ShapeDetectionLevelSetFunction< TImageType, TFeatureImageType >, itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::ThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >, and itk::LevelSetFunctionWithRefitTerm< TImageType, TSparseImageType >.

template<typename TImageType >
virtual ScalarValueType itk::LevelSetFunction< TImageType >::CurvatureSpeed ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct = nullptr 
) const
inlinevirtual

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

Definition at line 140 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::GetAdvectionWeight ( ) const
inline

Alpha. Scales all advection term values.

Definition at line 155 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::GetCurvatureWeight ( ) const
inline

Gamma. Scales all curvature weight values

Definition at line 169 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::GetEpsilonMagnitude ( ) const
inline

Epsilon.

Definition at line 183 of file itkLevelSetFunction.h.

template<typename TImageType >
void* itk::LevelSetFunction< TImageType >::GetGlobalDataPointer ( ) const
inlineoverridevirtual

Returns a pointer to a global data structure that is passed to this object from the solver at each calculation. The idea is that the solver holds the state of any global values needed to calculate the time step, while the equation object performs the actual calculations. The global data should also be initialized in this method. Global data can be used for caching any values used or reused by the FunctionObject. Each thread should receive its own global data struct.

Implements itk::FiniteDifferenceFunction< TImageType >.

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

Definition at line 207 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::GetLaplacianSmoothingWeight ( ) const
inline

Weight of the laplacian smoothing term

Definition at line 176 of file itkLevelSetFunction.h.

template<typename TImageType >
static double itk::LevelSetFunction< TImageType >::GetMaximumCurvatureTimeStep ( )
inlinestatic

Definition at line 280 of file itkLevelSetFunction.h.

template<typename TImageType >
static double itk::LevelSetFunction< TImageType >::GetMaximumPropagationTimeStep ( )
inlinestatic

Definition at line 294 of file itkLevelSetFunction.h.

template<typename TImageType >
virtual const char* itk::LevelSetFunction< TImageType >::GetNameOfClass ( ) const
virtual
template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::GetPropagationWeight ( ) const
inline

Beta. Scales all propagation term values.

Definition at line 162 of file itkLevelSetFunction.h.

template<typename TImageType >
bool itk::LevelSetFunction< TImageType >::GetUseMinimalCurvature ( ) const
inline

Definition at line 256 of file itkLevelSetFunction.h.

template<typename TImageType >
virtual void itk::LevelSetFunction< TImageType >::Initialize ( const RadiusType r)
virtual
template<typename TImageType >
static VectorType itk::LevelSetFunction< TImageType >::InitializeZeroVectorConstant ( )
staticprotected

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

template<typename TImageType >
virtual ScalarValueType itk::LevelSetFunction< TImageType >::LaplacianSmoothingSpeed ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct = 0 
) const
inlinevirtual

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

Definition at line 147 of file itkLevelSetFunction.h.

template<typename TImageType >
static Pointer itk::LevelSetFunction< TImageType >::New ( )
static

Method for creation through the object factory.

template<typename TImageType >
void itk::LevelSetFunction< TImageType >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
overrideprotectedvirtual

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::FiniteDifferenceFunction< TImageType >.

Reimplemented in itk::ThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::ShapePriorSegmentationLevelSetFunction< TImageType, TFeatureImageType >, itk::VectorThresholdSegmentationLevelSetFunction< TImageType, TFeatureImageType >, and itk::LevelSetFunctionWithRefitTerm< TImageType, TSparseImageType >.

template<typename TImageType >
virtual ScalarValueType itk::LevelSetFunction< TImageType >::PropagationSpeed ( const NeighborhoodType ,
const FloatOffsetType ,
GlobalDataStruct = 0 
) const
inlinevirtual

Propagation speed. This term controls surface expansion/contraction. Default implementation returns zero.

Definition at line 133 of file itkLevelSetFunction.h.

template<typename TImageType >
void itk::LevelSetFunction< TImageType >::ReleaseGlobalDataPointer ( void *  GlobalData) const
inlineoverridevirtual

When the finite difference solver filter has finished using a global data pointer, it passes it to this method, which frees the memory. The solver cannot free the memory because it does not know the type to which the pointer points.

Implements itk::FiniteDifferenceFunction< TImageType >.

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

Definition at line 226 of file itkLevelSetFunction.h.

template<typename TImageType >
virtual void itk::LevelSetFunction< TImageType >::SetAdvectionWeight ( const ScalarValueType  a)
inlinevirtual

Alpha. Scales all advection term values.

Definition at line 153 of file itkLevelSetFunction.h.

template<typename TImageType >
virtual void itk::LevelSetFunction< TImageType >::SetCurvatureWeight ( const ScalarValueType  c)
inlinevirtual

Gamma. Scales all curvature weight values

Definition at line 167 of file itkLevelSetFunction.h.

template<typename TImageType >
void itk::LevelSetFunction< TImageType >::SetEpsilonMagnitude ( const ScalarValueType  e)
inline

Epsilon.

Definition at line 181 of file itkLevelSetFunction.h.

References itk::Math::e.

template<typename TImageType >
void itk::LevelSetFunction< TImageType >::SetLaplacianSmoothingWeight ( const ScalarValueType  c)
inline

Weight of the laplacian smoothing term

Definition at line 174 of file itkLevelSetFunction.h.

template<typename TImageType >
static void itk::LevelSetFunction< TImageType >::SetMaximumCurvatureTimeStep ( double  n)
inlinestatic

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 275 of file itkLevelSetFunction.h.

template<typename TImageType >
static void itk::LevelSetFunction< TImageType >::SetMaximumPropagationTimeStep ( double  n)
inlinestatic

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 289 of file itkLevelSetFunction.h.

template<typename TImageType >
virtual void itk::LevelSetFunction< TImageType >::SetPropagationWeight ( const ScalarValueType  p)
inlinevirtual

Beta. Scales all propagation term values.

Definition at line 160 of file itkLevelSetFunction.h.

template<typename TImageType >
void itk::LevelSetFunction< TImageType >::SetUseMinimalCurvature ( bool  b)
inline

Definition at line 251 of file itkLevelSetFunction.h.

template<typename TImageType >
void itk::LevelSetFunction< TImageType >::UseMinimalCurvatureOff ( )
inline

Definition at line 266 of file itkLevelSetFunction.h.

template<typename TImageType >
void itk::LevelSetFunction< TImageType >::UseMinimalCurvatureOn ( )
inline

Definition at line 261 of file itkLevelSetFunction.h.

Member Data Documentation

template<typename TImageType >
constexpr unsigned int itk::LevelSetFunction< TImageType >::ImageDimension = Superclass::ImageDimension
static

Extract some parameters from the superclass.

Definition at line 85 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::m_AdvectionWeight
protected

Alpha.

Definition at line 338 of file itkLevelSetFunction.h.

template<typename TImageType >
OffsetValueType itk::LevelSetFunction< TImageType >::m_Center {0}
protected

The offset of the center pixel in the neighborhood.

Definition at line 320 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::m_CurvatureWeight
protected

Gamma.

Definition at line 344 of file itkLevelSetFunction.h.

template<typename TImageType >
double itk::LevelSetFunction< TImageType >::m_DT
staticprotected

Definition at line 314 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::m_EpsilonMagnitude
protected

Epsilon magnitude controls the lower limit for gradient magnitude.

Definition at line 335 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::m_LaplacianSmoothingWeight
protected

Laplacean smoothing term

Definition at line 347 of file itkLevelSetFunction.h.

template<typename TImageType >
ScalarValueType itk::LevelSetFunction< TImageType >::m_PropagationWeight
protected

Beta.

Definition at line 341 of file itkLevelSetFunction.h.

template<typename TImageType >
bool itk::LevelSetFunction< TImageType >::m_UseMinimalCurvature {false}
protected

Definition at line 325 of file itkLevelSetFunction.h.

template<typename TImageType >
double itk::LevelSetFunction< TImageType >::m_WaveDT
staticprotected

Constants used in the time step calculation.

Definition at line 313 of file itkLevelSetFunction.h.

template<typename TImageType >
OffsetValueType itk::LevelSetFunction< TImageType >::m_xStride[Self::ImageDimension]
protected

Stride length along the y-dimension.

Definition at line 323 of file itkLevelSetFunction.h.

template<typename TImageType >
VectorType itk::LevelSetFunction< TImageType >::m_ZeroVectorConstant
staticprotected

Zero vector constant.

Definition at line 332 of file itkLevelSetFunction.h.

template<typename TImageType >
std::slice itk::LevelSetFunction< TImageType >::x_slice[Self::ImageDimension]
protected

Slices for the ND neighborhood.

Definition at line 317 of file itkLevelSetFunction.h.


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