#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 >:

[legend]

Public Types
using	ConstPointer = SmartPointer<const Self>

using	ContinuousIndexType

using	IndexType

using	Pointer = SmartPointer<Self>

using	Self = BSplineInterpolationSecondOrderDerivativeWeightFunction

using	SizeType

using	Superclass = BSplineInterpolationWeightFunctionBase<TCoordRep, VSpaceDimension, VSplineOrder>

using	WeightsType

Public Types inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
using	ConstPointer

using	ContinuousIndexType

using	IndexType

using	Pointer

using	Self

using	SizeType

using	Superclass

using	WeightsType

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< 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

	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

using	KernelType

using	OneDWeightsType

using	SecondOrderDerivativeKernelType

Protected Types inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
using	DerivativeKernelPointer

using	DerivativeKernelType

using	KernelPointer

using	KernelType

using	OneDWeightsType

using	SecondOrderDerivativeKernelPointer

using	SecondOrderDerivativeKernelType

using	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< 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=default

Private Attributes
vnl_vector_fixed< double, 2 >	m_DerivativeDirections {}

bool	m_EqualDerivativeDirections {}

Additional Inherited Members
Static Public Attributes inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
static constexpr unsigned long	NumberOfWeights

static constexpr SizeType	SupportSize

Protected Attributes inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
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 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

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 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

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

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

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

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

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

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 >.

◆ 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