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itk::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder > Class Template Reference

#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 >:
Inheritance graph
[legend]

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
 
virtual const char * GetClassName () const
 
virtual unsigned long GetNumberOfWeights () const
 
virtual const SizeTypeGetSupportSize ()
 
 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

 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 ()
 
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< 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::BSplineInterpolationSecondOrderDerivativeWeightFunction< TCoordRep, VSpaceDimension, VSplineOrder >::ConstPointer = SmartPointer<const Self>

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

◆ 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::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>

◆ 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

◆ 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

◆ m_EqualDerivativeDirections

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


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