ITK
6.0.0
Insight Toolkit
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#include <itkGeodesicActiveContourLevelSetFunction.h>
This function is used in GeodesicActiveContourLevelSetImageFilter to segment structures in an image based on a user supplied edge potential map.
GeodesicActiveContourLevelSetFunction 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.
\[ \mathbf{A}(\mathbf{x}) = -\nabla g(\mathbf{x}) \]
This term behaves like a doublet attracting the contour to the edges.
This implementation is based on: "Geodesic Active Contours", V. Caselles, R. Kimmel and G. Sapiro. International Journal on Computer Vision, Vol 22, No. 1, pp 61-97, 1997
Definition at line 77 of file itkGeodesicActiveContourLevelSetFunction.h.
Static Public Member Functions | |
static Pointer | New () |
Static Public Member Functions inherited from itk::LevelSetFunction< TImageType > | |
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::SegmentationLevelSetFunction< TImageType, TImageType > | |
static constexpr unsigned int | ImageDimension |
Static Public Attributes inherited from itk::LevelSetFunction< TImageType > | |
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 | |
GeodesicActiveContourLevelSetFunction () | |
void | PrintSelf (std::ostream &os, Indent indent) const override |
~GeodesicActiveContourLevelSetFunction () override=default | |
Protected Member Functions inherited from itk::SegmentationLevelSetFunction< TImageType, TImageType > | |
VectorType | AdvectionField (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd) const override |
ScalarValueType | PropagationSpeed (const NeighborhoodType &, const FloatOffsetType &, GlobalDataStruct *gd) const override |
SegmentationLevelSetFunction () | |
~SegmentationLevelSetFunction () override=default | |
Protected Member Functions inherited from itk::LevelSetFunction< TImageType > | |
LevelSetFunction () | |
void | PrintSelf (std::ostream &os, Indent indent) const override |
~LevelSetFunction () override=default | |
Protected Member Functions inherited from itk::FiniteDifferenceFunction< TImageType > | |
FiniteDifferenceFunction () | |
void | PrintSelf (std::ostream &os, Indent indent) const override |
~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 | PrintSelf (std::ostream &os, Indent indent) const |
virtual void | PrintTrailer (std::ostream &os, Indent indent) const |
virtual | ~LightObject () |
Private Attributes | |
double | m_DerivativeSigma {} |
using itk::GeodesicActiveContourLevelSetFunction< TImageType, TFeatureImageType >::ConstPointer = SmartPointer<const Self> |
Definition at line 87 of file itkGeodesicActiveContourLevelSetFunction.h.
using itk::GeodesicActiveContourLevelSetFunction< TImageType, TFeatureImageType >::FeatureImageType = TFeatureImageType |
Definition at line 88 of file itkGeodesicActiveContourLevelSetFunction.h.
using itk::GeodesicActiveContourLevelSetFunction< TImageType, TFeatureImageType >::Pointer = SmartPointer<Self> |
Definition at line 86 of file itkGeodesicActiveContourLevelSetFunction.h.
using itk::GeodesicActiveContourLevelSetFunction< TImageType, TFeatureImageType >::Self = GeodesicActiveContourLevelSetFunction |
Standard class type aliases.
Definition at line 84 of file itkGeodesicActiveContourLevelSetFunction.h.
using itk::GeodesicActiveContourLevelSetFunction< TImageType, TFeatureImageType >::Superclass = SegmentationLevelSetFunction<TImageType, TFeatureImageType> |
Definition at line 85 of file itkGeodesicActiveContourLevelSetFunction.h.
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inlineprotected |
Definition at line 151 of file itkGeodesicActiveContourLevelSetFunction.h.
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overrideprotecteddefault |
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overridevirtual |
Compute the advection field from feature image.
Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TImageType >.
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overridevirtual |
Compute speed image from feature image.
Reimplemented from itk::SegmentationLevelSetFunction< TImageType, TImageType >.
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inlineoverridevirtual |
The curvature speed is same as the propagation speed.
Reimplemented from itk::LevelSetFunction< TImageType >.
Definition at line 119 of file itkGeodesicActiveContourLevelSetFunction.h.
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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 134 of file itkGeodesicActiveContourLevelSetFunction.h.
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overridevirtual |
Reimplemented from itk::FiniteDifferenceFunction< TImageType >.
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inlineoverridevirtual |
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 >.
Definition at line 141 of file itkGeodesicActiveContourLevelSetFunction.h.
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static |
Method for creation through the object factory.
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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 >.
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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 129 of file itkGeodesicActiveContourLevelSetFunction.h.
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staticconstexpr |
Extract some parameters from the superclass.
Definition at line 107 of file itkGeodesicActiveContourLevelSetFunction.h.
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private |
Definition at line 166 of file itkGeodesicActiveContourLevelSetFunction.h.