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

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

#include <itkGeodesicActiveContourShapePriorLevelSetFunction.h>

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

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

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List of all members.

Public Types

typedef GeodesicActiveContourShapePriorLevelSetFunction Self
typedef ShapePriorSegmentationLevelSetFunction<
TImageType, TFeatureImageType > 		Superclass
typedef SmartPointer< Self > Pointer
typedef SmartPointer< const
Self > 		ConstPointer
typedef TFeatureImageType FeatureImageType
typedef Superclass::ImageType ImageType
typedef Superclass::NeighborhoodType NeighborhoodType
typedef Superclass::ScalarValueType ScalarValueType
typedef Superclass::FeatureScalarType FeatureScalarType
typedef Superclass::RadiusType RadiusType
typedef Superclass::FloatOffsetType FloatOffsetType
typedef Superclass::VectorImageType VectorImageType
typedef Superclass::GlobalDataStruct GlobalDataStruct

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

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

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.

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 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.

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

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.

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

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 110 of file itkGeodesicActiveContourShapePriorLevelSetFunction.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.

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

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.

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

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.

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

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::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.

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.

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

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

Member Function Documentation

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, 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.

Reimplemented from itk::LevelSetFunction< TImageType >.

Definition at line 130 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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

template<class TImageType, class TFeatureImageType = TImageType>
double itk::GeodesicActiveContourShapePriorLevelSetFunction< 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 138 of file itkGeodesicActiveContourShapePriorLevelSetFunction.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, class TFeatureImageType = TImageType>
virtual void itk::GeodesicActiveContourShapePriorLevelSetFunction< TImageType, TFeatureImageType >::Initialize (  const RadiusType &  r  )  [inline, 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 >.

Definition at line 142 of file itkGeodesicActiveContourShapePriorLevelSetFunction.h.

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, class TFeatureImageType = TImageType>
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]
 

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

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.

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.

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