#include <itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h>

Detailed Description

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

Public Types
using	ConstPointer = SmartPointer<const Self>
using	ContinuousIndexType
using	IndexType
using	Pointer = SmartPointer<Self>
using	Self = BSplineInterpolationSecondOrderDerivativeWeightFunction
using	SizeType
using	Superclass = BSplineInterpolationWeightFunctionBase<TCoordinate, 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
	ITK_DISALLOW_COPY_AND_MOVE (BSplineInterpolationSecondOrderDerivativeWeightFunction)
	itkOverrideGetNameOfClassMacro (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 >
WeightsType	Evaluate (const ContinuousIndexType &index) const override
	ITK_DISALLOW_COPY_AND_MOVE (BSplineInterpolationWeightFunctionBase)
	itkOverrideGetNameOfClassMacro (BSplineInterpolationWeightFunctionBase)
	itkStaticConstMacro (SpaceDimension, unsigned int, VSpaceDimension)

Static Public Member Functions
static Pointer	New ()
Static Public Member Functions inherited from itk::BSplineInterpolationWeightFunctionBase< float, 2, 3 >
static IndexType	ComputeStartIndex (const ContinuousIndexType &index)

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 ()=default
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

Member Typedef Documentation

◆ ConstPointer

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

Definition at line 55 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ ContinuousIndexType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, VSpaceDimension, VSplineOrder >::ContinuousIndexType

ContinuousIndex typedef support.

Definition at line 83 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ DerivativeKernelType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, VSpaceDimension, VSplineOrder >::DerivativeKernelType

protected

Definition at line 111 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ IndexType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, VSpaceDimension, VSplineOrder >::IndexType

Index and size typedef support.

Definition at line 79 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ KernelType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, VSpaceDimension, VSplineOrder >::KernelType

protected

Interpolation kernel types.

Definition at line 109 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ OneDWeightsType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, 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 121 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Pointer

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

Definition at line 54 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ SecondOrderDerivativeKernelType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, VSpaceDimension, VSplineOrder >::SecondOrderDerivativeKernelType

protected

Definition at line 113 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Self

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

Standard class typedefs.

Definition at line 52 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ SizeType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, VSpaceDimension, VSplineOrder >::SizeType

Definition at line 80 of file itkBSplineInterpolationWeightFunctionBase.h.

◆ Superclass

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordinate, VSpaceDimension, VSplineOrder >::Superclass = BSplineInterpolationWeightFunctionBase<TCoordinate, VSpaceDimension, VSplineOrder>

Definition at line 53 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ WeightsType

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

using itk::BSplineInterpolationWeightFunctionBase< TCoordinate, VSpaceDimension, VSplineOrder >::WeightsType

OutputType typedef support.

Definition at line 76 of file itkBSplineInterpolationWeightFunctionBase.h.

Constructor & Destructor Documentation

◆ BSplineInterpolationSecondOrderDerivativeWeightFunction()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

protected

◆ ~BSplineInterpolationSecondOrderDerivativeWeightFunction()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

overrideprotecteddefault

Member Function Documentation

◆ Compute1DWeights()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

void itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordinate, 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.

◆ ITK_DISALLOW_COPY_AND_MOVE()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

◆ itkOverrideGetNameOfClassMacro()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordinate, VSpaceDimension, VSplineOrder >::itkOverrideGetNameOfClassMacro ( BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordinate, VSpaceDimension, VSplineOrder > )

Run-time type information (and related methods).

◆ itkStaticConstMacro() [1/2]

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

Space dimension.

◆ itkStaticConstMacro() [2/2]

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

Spline order.

◆ New()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

static

New macro for creation of through the object factory.

◆ PrintSelf()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

overrideprotected

Print the member variables.

◆ SetDerivativeDirections()

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

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

virtual

Set the second order derivative directions.

Member Data Documentation

◆ m_DerivativeDirections

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

vnl_vector_fixed<double, 2> itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordinate, VSpaceDimension, VSplineOrder >::m_DerivativeDirections {}

private

Definition at line 108 of file itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h.

◆ m_EqualDerivativeDirections

template<typename TCoordinate = float, unsigned int VSpaceDimension = 2, unsigned int VSplineOrder = 3>

bool itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordinate, 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()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkOverrideGetNameOfClassMacro()

◆ itkStaticConstMacro() [1/2]

◆ itkStaticConstMacro() [2/2]

◆ New()

◆ PrintSelf()

◆ SetDerivativeDirections()

Member Data Documentation

◆ m_DerivativeDirections

◆ m_EqualDerivativeDirections