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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_TEMPLATE_EXPORT BSplineSecondOrderDerivativeKernelFunction : public KernelFunctionBase<double>
{
public:
ITK_DISALLOW_COPY_AND_MOVE(BSplineSecondOrderDerivativeKernelFunction);
/** Standard class typedefs. */
using Self = BSplineSecondOrderDerivativeKernelFunction;
using Superclass = KernelFunctionBase<double>;
using Pointer = SmartPointer<Self>;
/** 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 (KernelType::FastEvaluate(u + 1.0) - 2.0 * KernelType::FastEvaluate(u) + KernelType::FastEvaluate(u - 1.0));
}
protected:
using KernelType = BSplineKernelFunction<Self::SplineOrder - 2>;
BSplineSecondOrderDerivativeKernelFunction() = default;
~BSplineSecondOrderDerivativeKernelFunction() override = default;
void
PrintSelf(std::ostream & os, Indent indent) const override
{
Superclass::PrintSelf(os, indent);
os << indent << "Spline Order: " << SplineOrder << std::endl;
}
};
} // end namespace itk
#endif
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