Solves Laplace equation over the cortical volume. More...

Inheritance diagram for itk::LaplacianSolverImageFilter< TInputImage, TScalarType >:

Collaboration diagram for itk::LaplacianSolverImageFilter< TInputImage, TScalarType >:

Public Types
typedef LaplacianSolverImageFilter	Self

typedef BaseCTEFilter < TInputImage >	Superclass

typedef SmartPointer< Self >	Pointer

typedef SmartPointer< const Self >	ConstPointer

typedef TInputImage::PixelType	InputPixelType

typedef InputPixelType	OutputPixelType

typedef TInputImage	InputImageType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::IndexType	InputImageIndexType

typedef Image< OutputPixelType, TInputImage::ImageDimension >	OutputImageType

typedef OutputImageType::Pointer	OutputImagePointer

typedef OutputImageType::SpacingType	OutputImageSpacing

Public Types inherited from itk::BaseCTEFilter< TInputImage >
typedef BaseCTEFilter	Self

typedef ImageToImageFilter < TInputImage, TInputImage >	Superclass

typedef SmartPointer< Self >	Pointer

typedef SmartPointer< const Self >	ConstPointer

typedef TInputImage	InputImageType

typedef InputImageType::PixelType	InputPixelType

typedef InputImageType::IndexType	InputIndexType

typedef InputImageType::SizeType	InputSizeType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputPixelType	OutputPixelType

typedef Image< OutputPixelType, TInputImage::ImageDimension >	OutputImageType

typedef OutputImageType::Pointer	OutputImagePointer

typedef OutputImageType::ConstPointer	OutputImageConstPointer

typedef OutputImageType::SizeType	OutputSizeType

Public Member Functions
virtual const char *	GetClassName () const

void	SetSegmentedImage (const InputImageType *image)

virtual unsigned long int	GetCurrentIteration ()

virtual void	SetCurrentIteration (unsigned long int _arg)

virtual void	SetLowVoltage (OutputPixelType _arg)

virtual OutputPixelType	GetLowVoltage ()

virtual void	SetHighVoltage (OutputPixelType _arg)

virtual OutputPixelType	GetHighVoltage ()

virtual void	SetEpsilonConvergenceThreshold (OutputPixelType _arg)

virtual OutputPixelType	GetEpsilonConvergenceThreshold ()

virtual void	SetMaximumNumberOfIterations (unsigned long int _arg)

virtual unsigned long int	GetMaximumNumberOfIterations ()

virtual void	SetUseGaussSeidel (bool _arg)

virtual bool	GetUseGaussSeidel ()

Public Member Functions inherited from itk::BaseCTEFilter< TInputImage >
	itkStaticConstMacro (Dimension, unsigned int, TInputImage::ImageDimension)

virtual InputPixelType	GetGreyMatterLabel ()

virtual InputPixelType	GetWhiteMatterLabel ()

virtual InputPixelType	GetExtraCerebralMatterLabel ()

void	SetLabelThresholds (InputPixelType greyMatterLabel, InputPixelType whiteMatterLabel, InputPixelType extraCerebralMatterLabel)

virtual bool	GetUserHasSetTheLabelThresholds ()

Static Public Member Functions
static Pointer	New ()

Protected Member Functions
	LaplacianSolverImageFilter ()

virtual	~LaplacianSolverImageFilter ()

virtual void	PrintSelf (std::ostream &, Indent) const

virtual void	GenerateData ()

Protected Member Functions inherited from itk::BaseCTEFilter< TInputImage >
	BaseCTEFilter ()

virtual	~BaseCTEFilter ()

virtual void	GenerateInputRequestedRegion ()

virtual void	EnlargeOutputRequestedRegion (DataObject *itkNotUsed)

virtual void	CheckInputsAndOutputsSameSize ()

virtual bool	IsOnBoundary (const InputImageType *image, const InputIndexType &index, const InputPixelType boundaryValue, bool useFullyConnected)

virtual bool	IsOnCSFBoundary (const InputImageType *image, const InputIndexType &index, bool useFullyConnected)

virtual bool	IsOnWMBoundary (const InputImageType *image, const InputIndexType &index, bool useFullyConnected)

virtual bool	IsOnGMBoundary (const InputImageType *image, const InputIndexType &index, bool useFullyConnected)

Additional Inherited Members
Protected Attributes inherited from itk::BaseCTEFilter< TInputImage >
InputPixelType	m_GreyMatterLabel

InputPixelType	m_WhiteMatterLabel

InputPixelType	m_ExtraCerebralMatterLabel

bool	m_UserHasSetTheLabelThresholds

Detailed Description

template<class TInputImage, typename TScalarType = double>
class itk::LaplacianSolverImageFilter< TInputImage, TScalarType >

Solves Laplace equation over the cortical volume.

This filter implements step (7) in Jones et al. Human Brain Mapping 11:12-32 (2000). The input must be an image with exactly three values, corresponding to white matter, grey matter (cortical volume), and extra-cerebral volume, (i.e. non-brain). Laplaces equation is solved using the Jacobi method (Press et al.), where convergence stops once the change in field energy goes below a threshold. The Jones 2000 paper uses a formulation simplified to isotropic voxels. However, in Diep et. al. ISBI 2007, it is generalised to anisotropic voxels. So this implementation can do anisotropic voxels, using Than Dieps generalization.

The output is an image of voltage potentials.

You should specify the values for each type of matter. They all default to -1. If you are constructing a pipeline, then the itkCheckForThreeLevelsFilter will check this for you, and try to set reasonable defaults, so there is no checking code contained within this class.