itkCoxDeBoorBSplineKernelFunction.h

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/*=========================================================================
 *
 *  Copyright Insight Software Consortium
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
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 *         http://www.apache.org/licenses/LICENSE-2.0.txt
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 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
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 *=========================================================================*/
#ifndef itkCoxDeBoorBSplineKernelFunction_h
#define itkCoxDeBoorBSplineKernelFunction_h

#include "itkKernelFunctionBase.h"
#include "vnl/vnl_real_polynomial.h"
#include "vnl/vnl_matrix.h"

namespace itk
{
template<unsigned int VSplineOrder = 3, typename TRealValueType = double>
class CoxDeBoorBSplineKernelFunction:
  public KernelFunctionBase<TRealValueType>
{
public:
  typedef CoxDeBoorBSplineKernelFunction     Self;
  typedef KernelFunctionBase<TRealValueType> Superclass;
  typedef SmartPointer<Self>                 Pointer;
  typedef SmartPointer<const Self>           ConstPointer;

  typedef typename Superclass::RealType  RealType;

  itkNewMacro( Self );

  itkTypeMacro( CoxDeBoorBSplineKernelFunction, KernelFunctionBase );

  typedef vnl_vector<TRealValueType> VectorType;
  typedef vnl_real_polynomial        PolynomialType;
  typedef vnl_matrix<TRealValueType> MatrixType;

  void SetSplineOrder( const unsigned int );

  itkGetConstMacro( SplineOrder, unsigned int );

  TRealValueType Evaluate( const TRealValueType & ) const ITK_OVERRIDE;

  TRealValueType EvaluateDerivative( const TRealValueType & ) const;

  TRealValueType EvaluateNthDerivative( const TRealValueType &, const unsigned int ) const;

  MatrixType GetShapeFunctions();

  MatrixType GetShapeFunctionsInZeroToOneInterval();

protected:
  CoxDeBoorBSplineKernelFunction();
  virtual ~CoxDeBoorBSplineKernelFunction();
  void PrintSelf( std::ostream & os, Indent indent ) const ITK_OVERRIDE;

private:
  CoxDeBoorBSplineKernelFunction( const Self & ); //purposely not implemented
  void operator=( const Self & );                 //purposely not implemented

  void GenerateBSplineShapeFunctions( const unsigned int );

  PolynomialType CoxDeBoor( const unsigned short, const VectorType,
    const unsigned int, const unsigned int );

  MatrixType                       m_BSplineShapeFunctions;
  unsigned int                     m_SplineOrder;
};
} // end namespace itk

#ifndef ITK_MANUAL_INSTANTIATION
#include "itkCoxDeBoorBSplineKernelFunction.hxx"
#endif

#endif