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

#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 >:
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 = 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 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

 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>

◆ 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>

◆ 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>

◆ 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.



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