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/*=========================================================================
*
* Copyright UMC Utrecht and contributors
*
* 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
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* 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.
*
*=========================================================================*/
#ifndef __itkBSplineSecondOrderDerivativeKernelFunction_h
#define __itkBSplineSecondOrderDerivativeKernelFunction_h
#include "itkKernelFunctionBase.h"
#include "itkBSplineKernelFunction.h"
namespace itk
{
/** \class BSplineSecondOrderDerivativeKernelFunction
* \brief Derivative of a BSpline kernel used for density estimation and
* nonparameteric regression.
*
* This class encapsulates the derivative of a BSpline kernel for
* density estimation or nonparameteric regression.
* See documentation for KernelFunction for more details.
*
* This class is templated over the spline order.
* \warning Evaluate is only implemented for spline order 1 to 4
*
* \sa KernelFunction
*
* \ingroup Functions
*/
template< unsigned int VSplineOrder = 3 >
class ITK_EXPORT BSplineSecondOrderDerivativeKernelFunction : public KernelFunctionBase< double >
{
public:
/** Standard class typedefs. */
typedef BSplineSecondOrderDerivativeKernelFunction Self;
typedef KernelFunctionBase< double > Superclass;
typedef SmartPointer< Self > Pointer;
/** Method for creation through the object factory. */
itkNewMacro( Self );
/** Run-time type information (and related methods). */
itkTypeMacro( BSplineSecondOrderDerivativeKernelFunction, KernelFunctionBase );
/** Enum of for spline order. */
itkStaticConstMacro( SplineOrder, unsigned int, VSplineOrder );
/** Evaluate the function. */
inline double Evaluate( const double & u ) const override
{
return ( m_KernelFunction->Evaluate( u + 1.0 )
- 2.0 * m_KernelFunction->Evaluate( u )
+ m_KernelFunction->Evaluate( u - 1.0 ) );
}
protected:
typedef BSplineKernelFunction< itkGetStaticConstMacro( SplineOrder ) - 2 >
KernelType;
BSplineSecondOrderDerivativeKernelFunction()
{
m_KernelFunction = KernelType::New();
}
~BSplineSecondOrderDerivativeKernelFunction() override{}
void PrintSelf( std::ostream & os, Indent indent ) const override
{
Superclass::PrintSelf( os, indent );
os << indent << "Spline Order: " << SplineOrder << std::endl;
}
private:
BSplineSecondOrderDerivativeKernelFunction( const Self & ); //purposely not implemented
void operator=( const Self & ); //purposely not implemented
typename KernelType::Pointer m_KernelFunction;
};
} // end namespace itk
#endif
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