itkGaussianKernelFunction.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
 *
 *         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 itkGaussianKernelFunction_h
#define itkGaussianKernelFunction_h

#include "itkKernelFunctionBase.h"
#include "itkMath.h"
#include <cmath>

namespace itk
{
template< typename TRealValueType = double >
class GaussianKernelFunction:public KernelFunctionBase<TRealValueType>
{
public:
  ITK_DISALLOW_COPY_AND_ASSIGN(GaussianKernelFunction);

  using Self = GaussianKernelFunction;
  using Superclass = KernelFunctionBase<TRealValueType>;
  using Pointer = SmartPointer< Self >;

  using RealType = typename Superclass::RealType;
  itkNewMacro(Self);

  itkTypeMacro(GaussianKernelFunction, KernelFunctionBase);

  TRealValueType Evaluate(const TRealValueType & u) const override
  { return ( std::exp( static_cast< TRealValueType >(-0.5) * itk::Math::sqr(u) ) * m_Factor ); }

protected:
  GaussianKernelFunction(): m_Factor(  NumericTraits< TRealValueType >::OneValue() / std::sqrt(static_cast< TRealValueType >(2.0 * itk::Math::pi )) ) {};
  ~GaussianKernelFunction() override = default;
  void PrintSelf(std::ostream & os, Indent indent) const override
  { Superclass::PrintSelf(os, indent); }

private:
  const TRealValueType m_Factor;
};
} // end namespace itk

#endif