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/*=========================================================================
*
* Copyright NumFOCUS
*
* 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
*
* https://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 itkElasticBodyReciprocalSplineKernelTransform_hxx
#define itkElasticBodyReciprocalSplineKernelTransform_hxx
namespace itk
{
template <typename TParametersValueType, unsigned int VDimension>
ElasticBodyReciprocalSplineKernelTransform<TParametersValueType,
VDimension>::ElasticBodyReciprocalSplineKernelTransform()
{
// Alpha = 8 ( 1 - \nu ) - 1
m_Alpha = 8.0 * (1.0 - .25) - 1;
}
template <typename TParametersValueType, unsigned int VDimension>
void
ElasticBodyReciprocalSplineKernelTransform<TParametersValueType, VDimension>::ComputeG(const InputVectorType & x,
GMatrixType & gmatrix) const
{
const TParametersValueType r = x.GetNorm();
const TParametersValueType factor = (r > 1e-8) ? (-1.0 / r) : TParametersValueType{};
const TParametersValueType radial = m_Alpha * r;
for (unsigned int i = 0; i < VDimension; ++i)
{
const typename InputVectorType::ValueType xi = x[i] * factor;
// G is symmetric
for (unsigned int j = 0; j < i; ++j)
{
const TParametersValueType value = xi * x[j];
gmatrix[i][j] = value;
gmatrix[j][i] = value;
}
gmatrix[i][i] = radial + xi * x[i];
}
}
template <typename TParametersValueType, unsigned int VDimension>
void
ElasticBodyReciprocalSplineKernelTransform<TParametersValueType, VDimension>::PrintSelf(std::ostream & os,
Indent indent) const
{
Superclass::PrintSelf(os, indent);
os << indent << "Alpha: " << static_cast<typename NumericTraits<TParametersValueType>::PrintType>(m_Alpha)
<< std::endl;
}
} // namespace itk
#endif
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