#include <itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h>

Detailed Description

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>
class itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >

Returns the weights over the support region used for B-spline interpolation/reconstruction.

Computes/evaluate the B-spline interpolation weights over the support region of the B-spline.

This class is templated over the coordinate representation type, the space dimension and the spline order.

See also: Point; Index; ContinuousIndex

Definition at line 47 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

Inheritance diagram for itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >:

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::ContinuousIndexType	ContinuousIndexType

typedef Superclass::IndexType	IndexType

typedef SmartPointer< Self >	Pointer

typedef BSplineInterpolationSecondOrderDerivativeWeightFunction	Self

typedef Superclass::SizeType	SizeType

typedef BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >	Superclass

typedef Superclass::WeightsType	WeightsType

Public Types inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
typedef SmartPointer< const Self >	ConstPointer

typedef ContinuousIndex< float, VSpaceDimension >	ContinuousIndexType

typedef Index< VSpaceDimension >	IndexType

typedef SmartPointer< Self >	Pointer

typedef BSplineInterpolationWeightFunctionBase	Self

typedef Size< VSpaceDimension >	SizeType

typedef FunctionBase< ContinuousIndex< float, VSpaceDimension >, Array< double > >	Superclass

typedef Array< double >	WeightsType

Public Member Functions
virtual const char *	GetClassName () const

	itkStaticConstMacro (SpaceDimension, unsigned int, VSpaceDimension)

	itkStaticConstMacro (SplineOrder, unsigned int, VSplineOrder)

virtual void	SetDerivativeDirections (unsigned int dir0, unsigned int dir1)

Public Member Functions inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
void	ComputeStartIndex (const ContinuousIndexType &index, IndexType &startIndex) const

virtual void	Evaluate (const ContinuousIndexType &cindex, const IndexType &startIndex, WeightsType &weights) const

WeightsType	Evaluate (const ContinuousIndexType &index) const override

virtual const char *	GetClassName () const

virtual unsigned long	GetNumberOfWeights () const

virtual const SizeType &	GetSupportSize ()

	itkStaticConstMacro (NumberOfWeights, unsigned long, GetConstNumberOfWeightsHackType::Value)

	itkStaticConstMacro (SpaceDimension, unsigned int, VSpaceDimension)

	itkStaticConstMacro (SplineOrder, unsigned int, VSplineOrder)

Static Public Member Functions
static Pointer	New ()

Protected Types
typedef Superclass::DerivativeKernelType	DerivativeKernelType

typedef Superclass::KernelType	KernelType

typedef Superclass::OneDWeightsType	OneDWeightsType

typedef Superclass::SecondOrderDerivativeKernelType	SecondOrderDerivativeKernelType

typedef Superclass::TableType	TableType

Protected Types inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
typedef DerivativeKernelType::Pointer	DerivativeKernelPointer

typedef BSplineDerivativeKernelFunction< Self::SplineOrder >	DerivativeKernelType

typedef KernelType::Pointer	KernelPointer

typedef BSplineKernelFunction2< Self::SplineOrder >	KernelType

typedef Matrix< double, itkGetStaticConstMacro(SpaceDimension), itkGetStaticConstMacro(SplineOrder)+1 >	OneDWeightsType

typedef SecondOrderDerivativeKernelType::Pointer	SecondOrderDerivativeKernelPointer

typedef BSplineSecondOrderDerivativeKernelFunction2< Self::SplineOrder >	SecondOrderDerivativeKernelType

typedef Array2D< unsigned long >	TableType

typedef KernelType::WeightArrayType	WeightArrayType

Protected Member Functions
	BSplineInterpolationSecondOrderDerivativeWeightFunction ()

void	Compute1DWeights (const ContinuousIndexType &index, const IndexType &startIndex, OneDWeightsType &weights1D) const override

void	PrintSelf (std::ostream &os, Indent indent) const override

	~BSplineInterpolationSecondOrderDerivativeWeightFunction () override

Protected Member Functions inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
	BSplineInterpolationWeightFunctionBase ()

virtual void	Compute1DWeights (const ContinuousIndexType &index, const IndexType &startIndex, OneDWeightsType &weights1D) const=0

void	PrintSelf (std::ostream &os, Indent indent) const override

	~BSplineInterpolationWeightFunctionBase () override

Private Member Functions
	BSplineInterpolationSecondOrderDerivativeWeightFunction (const Self &)

void	operator= (const Self &)

Private Attributes
vnl_vector_fixed< double, 2 >	m_DerivativeDirections

bool	m_EqualDerivativeDirections

Additional Inherited Members
Protected Attributes inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
DerivativeKernelType::Pointer	m_DerivativeKernel

KernelType::Pointer	m_Kernel

unsigned long	m_NumberOfWeights

TableType	m_OffsetToIndexTable

SecondOrderDerivativeKernelType::Pointer	m_SecondOrderDerivativeKernel

SizeType	m_SupportSize

Member Typedef Documentation

◆ ConstPointer

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef SmartPointer< const Self > itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::ConstPointer

Definition at line 58 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ ContinuousIndexType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::ContinuousIndexType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::ContinuousIndexType

Definition at line 77 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ DerivativeKernelType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::DerivativeKernelType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::DerivativeKernelType

protected

Definition at line 89 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ IndexType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::IndexType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::IndexType

Definition at line 75 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ KernelType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::KernelType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::KernelType

protected

Interpolation kernel types.

Definition at line 88 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ OneDWeightsType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::OneDWeightsType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::OneDWeightsType

protected

Definition at line 93 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ Pointer

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef SmartPointer< Self > itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Pointer

Definition at line 57 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ SecondOrderDerivativeKernelType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::SecondOrderDerivativeKernelType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::SecondOrderDerivativeKernelType

protected

Definition at line 91 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ Self

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef BSplineInterpolationSecondOrderDerivativeWeightFunction itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Self

Standard class typedefs.

Definition at line 54 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ SizeType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::SizeType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::SizeType

Definition at line 76 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ Superclass

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder > itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Superclass

Definition at line 56 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ TableType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::TableType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::TableType

protected

Definition at line 92 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ WeightsType

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

typedef Superclass::WeightsType itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::WeightsType

Typedefs from Superclass.

Definition at line 74 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

Constructor & Destructor Documentation

◆ BSplineInterpolationSecondOrderDerivativeWeightFunction() [1/2]

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::BSplineInterpolationSecondOrderDerivativeWeightFunction ( )

protected

◆ ~BSplineInterpolationSecondOrderDerivativeWeightFunction()

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::~BSplineInterpolationSecondOrderDerivativeWeightFunction ( )

inlineoverrideprotected

Definition at line 85 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ BSplineInterpolationSecondOrderDerivativeWeightFunction() [2/2]

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::BSplineInterpolationSecondOrderDerivativeWeightFunction ( const Self & )

private

Member Function Documentation

◆ Compute1DWeights()

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

void itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Compute1DWeights	(	const ContinuousIndexType &	index,
		const IndexType &	startIndex,
		OneDWeightsType &	weights1D
	)		const

overrideprotected

Compute the 1D weights, which are:

$\beta( x[i] - startIndex[i] ), \beta( x[i] - startIndex[i] - 1 ), \beta( x[i] - startIndex[i] - 2 ), \beta( x[i] - startIndex[i] - 3 ),$

with $\beta( x ) = \beta^2( x + 1/2 ) - \beta^2( x - 1/2 )$ , in case of non-equal derivative directions, with $\beta( x ) = \beta^1( x + 1 ) - 2 * \beta^1( x ) + \beta^1( x - 1 ),$ in case of equal derivative directions, with $\beta(x) = \beta^3(x)$ for the non-derivative directions.

◆ GetClassName()

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

virtual const char * itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::GetClassName ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >.

◆ itkStaticConstMacro() [1/2]

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::itkStaticConstMacro	(	SpaceDimension	,
		unsigned int	,
		VSpaceDimension
	)

Space dimension.

◆ itkStaticConstMacro() [2/2]

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::itkStaticConstMacro	(	SplineOrder	,
		unsigned int	,
		VSplineOrder
	)

Spline order.

◆ New()

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

static Pointer itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::New ( )

static

New macro for creation of through the object factory.

◆ operator=()

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

void itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::operator= ( const Self & )

private

◆ PrintSelf()

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

void itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotected

Print the member variables.

◆ SetDerivativeDirections()

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

virtual void itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::SetDerivativeDirections	(	unsigned int	dir0,
		unsigned int	dir1
	)

virtual

Set the second order derivative directions.

Field Documentation

◆ m_DerivativeDirections

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

vnl_vector_fixed< double, 2 > itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::m_DerivativeDirections

private

Definition at line 117 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ m_EqualDerivativeDirections

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

bool itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::m_EqualDerivativeDirections

private

Definition at line 118 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ ContinuousIndexType

◆ DerivativeKernelType

◆ IndexType

◆ KernelType

◆ OneDWeightsType

◆ Pointer

◆ SecondOrderDerivativeKernelType

◆ Self

◆ SizeType

◆ Superclass

◆ TableType

◆ WeightsType

Constructor & Destructor Documentation

◆ BSplineInterpolationSecondOrderDerivativeWeightFunction() [1/2]

◆ ~BSplineInterpolationSecondOrderDerivativeWeightFunction()

◆ BSplineInterpolationSecondOrderDerivativeWeightFunction() [2/2]

Member Function Documentation

◆ Compute1DWeights()

◆ GetClassName()

◆ itkStaticConstMacro() [1/2]

◆ itkStaticConstMacro() [2/2]

◆ New()

◆ operator=()

◆ PrintSelf()

◆ SetDerivativeDirections()

Field Documentation

◆ m_DerivativeDirections

◆ m_EqualDerivativeDirections