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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 itkEllipsoidInteriorExteriorSpatialFunction_hxx
#define itkEllipsoidInteriorExteriorSpatialFunction_hxx
#include <cmath>
namespace itk
{
template <unsigned int VDimension, typename TInput>
auto
EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::Evaluate(const InputType & position) const -> OutputType
{
double distanceSquared = 0;
Vector<double, VDimension> orientationVector;
Vector<double, VDimension> pointVector;
// Project the position onto each of the axes, normalize by axis length,
// and determine whether position is inside ellipsoid. The length of axis0,
// m_Axis[0] is orientated in the direction of m_Orientations[0].
for (unsigned int i = 0; i < VDimension; ++i)
{
pointVector[i] = position[i] - m_Center[i];
}
for (unsigned int i = 0; i < VDimension; ++i)
{
for (unsigned int j = 0; j < VDimension; ++j)
{
orientationVector[j] = m_Orientations[i][j];
}
distanceSquared +=
std::pow(static_cast<double>((orientationVector * pointVector) / (.5 * m_Axes[i])), static_cast<double>(2));
}
if (distanceSquared <= 1)
{
return 1; // Inside the ellipsoid.
}
// Default return value assumes outside the ellipsoid
return 0; // Outside the ellipsoid.
}
template <unsigned int VDimension, typename TInput>
void
EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::SetOrientations(const OrientationType & orientations)
{
// Set orientation vectors (must be orthogonal).
m_Orientations = orientations;
}
template <unsigned int VDimension, typename TInput>
void
EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::PrintSelf(std::ostream & os, Indent indent) const
{
unsigned int i, j;
Superclass::PrintSelf(os, indent);
os << indent << "Lengths of Ellipsoid Axes: " << m_Axes << std::endl;
os << indent << "Origin of Ellipsoid: " << m_Center << std::endl;
os << indent << "Orientations: " << std::endl;
for (i = 0; i < VDimension; ++i)
{
for (j = 0; j < VDimension; ++j)
{
os << indent << indent << m_Orientations[i][j] << ' ';
}
os << std::endl;
}
}
} // end namespace itk
#endif
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