#include <itkBSplineInterpolationDerivativeWeightFunction.h>

Detailed Description

template<class TCoordRep = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>
class itk::BSplineInterpolationDerivativeWeightFunction< 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 44 of file itkBSplineInterpolationDerivativeWeightFunction.h.

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

[legend]

Public Types
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = ContinuousIndex< TCoordRep, VSpaceDimension >

using	IndexType = Index< VSpaceDimension >

using	Pointer = SmartPointer< Self >

using	Self = BSplineInterpolationDerivativeWeightFunction

using	SizeType = Size< VSpaceDimension >

using	Superclass = BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >

using	WeightsType = FixedArray< double, NumberOfWeights >

Public Types inherited from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = ContinuousIndex< TCoordRep, VSpaceDimension >

using	IndexType = Index< VSpaceDimension >

using	Pointer = SmartPointer< Self >

using	Self = BSplineInterpolationWeightFunctionBase

using	SizeType = Size< VSpaceDimension >

using	Superclass = FunctionBase< ContinuousIndex< TCoordRep, VSpaceDimension >, FixedArray< double, Math::UnsignedPower(VSplineOrder+1, VSpaceDimension)> >

using	WeightsType = FixedArray< double, NumberOfWeights >

Public Member Functions
virtual const char *	GetClassName () const

	ITK_DISALLOW_COPY_AND_MOVE (BSplineInterpolationDerivativeWeightFunction)

	itkStaticConstMacro (SpaceDimension, unsigned int, VSpaceDimension)

	itkStaticConstMacro (SplineOrder, unsigned int, VSplineOrder)

virtual void	SetDerivativeDirection (unsigned int dir)

Public Member Functions inherited from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >
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 ()

	ITK_DISALLOW_COPY_AND_MOVE (BSplineInterpolationWeightFunctionBase)

	itkStaticConstMacro (SpaceDimension, unsigned int, VSpaceDimension)

	itkStaticConstMacro (SplineOrder, unsigned int, VSplineOrder)

Static Public Member Functions
static Pointer	New ()

Protected Types
using	DerivativeKernelType = BSplineDerivativeKernelFunction< VSplineOrder >

using	KernelType = BSplineKernelFunction2< VSplineOrder >

using	OneDWeightsType = Matrix< double, Self::SpaceDimension, VSplineOrder+1 >

using	SecondOrderDerivativeKernelType = BSplineSecondOrderDerivativeKernelFunction2< VSplineOrder >

using	TableType = Array2D< unsigned long >

Protected Types inherited from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >
using	DerivativeKernelPointer = typename DerivativeKernelType::Pointer

using	DerivativeKernelType = BSplineDerivativeKernelFunction< VSplineOrder >

using	KernelPointer = typename KernelType::Pointer

using	KernelType = BSplineKernelFunction2< VSplineOrder >

using	OneDWeightsType = Matrix< double, Self::SpaceDimension, VSplineOrder+1 >

using	SecondOrderDerivativeKernelPointer = typename SecondOrderDerivativeKernelType::Pointer

using	SecondOrderDerivativeKernelType = BSplineSecondOrderDerivativeKernelFunction2< VSplineOrder >

using	TableType = Array2D< unsigned long >

using	WeightArrayType = typename KernelType::WeightArrayType

Protected Member Functions
	BSplineInterpolationDerivativeWeightFunction ()

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

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

	~BSplineInterpolationDerivativeWeightFunction () override=default

Protected Member Functions inherited from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >
	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=default

Private Attributes
unsigned int	m_DerivativeDirection

Additional Inherited Members
Static Public Attributes inherited from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >
static constexpr unsigned long	NumberOfWeights = Math::UnsignedPower(VSplineOrder + 1, VSpaceDimension)

Protected Attributes inherited from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >
unsigned long	m_NumberOfWeights

TableType	m_OffsetToIndexTable

SizeType	m_SupportSize

Member Typedef Documentation

◆ ConstPointer

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

using itk::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::ConstPointer = SmartPointer<const Self>

Definition at line 54 of file itkBSplineInterpolationDerivativeWeightFunction.h.

◆ ContinuousIndexType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::ContinuousIndexType = ContinuousIndex<TCoordRep, VSpaceDimension>

ContinuousIndex typedef support.

Definition at line 84 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ DerivativeKernelType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::DerivativeKernelType = BSplineDerivativeKernelFunction<VSplineOrder>

protected

Definition at line 117 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ IndexType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::IndexType = Index<VSpaceDimension>

Index and size typedef support.

Definition at line 80 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ KernelType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::KernelType = BSplineKernelFunction2<VSplineOrder>

protected

Interpolation kernel types.

Definition at line 115 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ OneDWeightsType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::OneDWeightsType = Matrix<double, Self::SpaceDimension, VSplineOrder + 1>

protected

Typedef for intermediary 1D weights. The Matrix is at least twice as fast as std::vector< vnl_vector< double > >, probably because of the fixed size at compile time.

Definition at line 130 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Pointer

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

using itk::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Pointer = SmartPointer<Self>

Definition at line 53 of file itkBSplineInterpolationDerivativeWeightFunction.h.

◆ SecondOrderDerivativeKernelType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::SecondOrderDerivativeKernelType = BSplineSecondOrderDerivativeKernelFunction2<VSplineOrder>

protected

Definition at line 119 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Self

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

using itk::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Self = BSplineInterpolationDerivativeWeightFunction

Standard class typedefs.

Definition at line 51 of file itkBSplineInterpolationDerivativeWeightFunction.h.

◆ SizeType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::SizeType = Size<VSpaceDimension>

Definition at line 81 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Superclass

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

using itk::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Superclass = BSplineInterpolationWeightFunctionBase<TCoordRep, VSpaceDimension, VSplineOrder>

Definition at line 52 of file itkBSplineInterpolationDerivativeWeightFunction.h.

◆ TableType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::TableType = Array2D<unsigned long>

protected

Lookup table type.

Definition at line 124 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ WeightsType

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

using itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >::WeightsType = FixedArray<double, NumberOfWeights>

OutputType typedef support.

Definition at line 77 of file itkBSplineInterpolationWeightFunctionBase.h.

Constructor & Destructor Documentation

◆ BSplineInterpolationDerivativeWeightFunction()

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

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

protected

◆ ~BSplineInterpolationDerivativeWeightFunction()

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

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

overrideprotecteddefault

Member Function Documentation

◆ Compute1DWeights()

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

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

overrideprotectedvirtual

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 the derivative direction, and just $\beta(x) = \beta^3(x)$ for the non-derivative directions.

Implements itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >.

◆ GetClassName()

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

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

virtual

Run-time type information (and related methods).

Reimplemented from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >.

◆ ITK_DISALLOW_COPY_AND_MOVE()

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

itk::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::ITK_DISALLOW_COPY_AND_MOVE ( BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder > )

◆ itkStaticConstMacro() [1/2]

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

itk::BSplineInterpolationDerivativeWeightFunction< 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::BSplineInterpolationDerivativeWeightFunction< 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::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::New ( )

static

New macro for creation of through the object factory.

◆ PrintSelf()

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

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

overrideprotected

Print the member variables.

◆ SetDerivativeDirection()

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

virtual void itk::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::SetDerivativeDirection ( unsigned int dir )

virtual

Set the first order derivative direction.

Field Documentation

◆ m_DerivativeDirection

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

unsigned int itk::BSplineInterpolationDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::m_DerivativeDirection

private

Member variables.

Definition at line 107 of file itkBSplineInterpolationDerivativeWeightFunction.h.

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected 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

◆ BSplineInterpolationDerivativeWeightFunction()

◆ ~BSplineInterpolationDerivativeWeightFunction()

Member Function Documentation

◆ Compute1DWeights()

◆ GetClassName()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkStaticConstMacro() [1/2]

◆ itkStaticConstMacro() [2/2]

◆ New()

◆ PrintSelf()

◆ SetDerivativeDirection()

Field Documentation

◆ m_DerivativeDirection