#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 45 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

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

Public Types
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = ContinuousIndex< TCoordRep, VSpaceDimension >

using	IndexType = Index< VSpaceDimension >

using	Pointer = SmartPointer< Self >

using	Self = BSplineInterpolationSecondOrderDerivativeWeightFunction

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 (BSplineInterpolationSecondOrderDerivativeWeightFunction)

	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< 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

	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 >

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	WeightArrayType = typename KernelType::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=default

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

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

	~BSplineInterpolationWeightFunctionBase () override=default

Private Attributes
vnl_vector_fixed< double, 2 >	m_DerivativeDirections {}

bool	m_EqualDerivativeDirections {}

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

static constexpr SizeType	SupportSize { SizeType::Filled(VSplineOrder + 1) }

Protected Attributes inherited from itk::BSplineInterpolationWeightFunctionBase< TCoordRep, VSpaceDimension, VSplineOrder >
vnl_matrix< unsigned long >	m_OffsetToIndexTable {}

Member Typedef Documentation

◆ ConstPointer

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

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

Definition at line 55 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.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 114 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 112 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 124 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Pointer

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

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

Definition at line 54 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.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 116 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Self

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

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

Standard class typedefs.

Definition at line 52 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.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::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::Superclass = BSplineInterpolationWeightFunctionBase<TCoordRep, VSpaceDimension, VSplineOrder>

Definition at line 53 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.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

◆ BSplineInterpolationSecondOrderDerivativeWeightFunction()

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 ( )

overrideprotecteddefault

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

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 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.

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

◆ 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< TCoordRep, VSpaceDimension, VSplineOrder >.

◆ ITK_DISALLOW_COPY_AND_MOVE()

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

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

◆ 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.

◆ 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 108 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 109 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.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

◆ WeightsType

Constructor & Destructor Documentation

◆ BSplineInterpolationSecondOrderDerivativeWeightFunction()

◆ ~BSplineInterpolationSecondOrderDerivativeWeightFunction()

Member Function Documentation

◆ Compute1DWeights()

◆ GetClassName()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkStaticConstMacro() [1/2]

◆ itkStaticConstMacro() [2/2]

◆ New()

◆ PrintSelf()

◆ SetDerivativeDirections()

Field Documentation

◆ m_DerivativeDirections

◆ m_EqualDerivativeDirections