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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 itkSymmetricEllipsoidInteriorExteriorSpatialFunction_hxx
#define itkSymmetricEllipsoidInteriorExteriorSpatialFunction_hxx
#include <cmath>
namespace itk
{
template <unsigned int VDimension, typename TInput>
SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension,
TInput>::SymmetricEllipsoidInteriorExteriorSpatialFunction()
{
m_Center.Fill(0.0); // Origin of ellipsoid
m_Orientation.Fill(1.0); // Orientation of unique axis
}
template <unsigned int VDimension, typename TInput>
auto
SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::Evaluate(const InputType & position) const
-> OutputType
{
double uniqueTerm; // Term in ellipsoid equation for unique axis
double symmetricTerm; // Term in ellipsoid equation for symmetric axes
Vector<double, VDimension> pointVector;
Vector<double, VDimension> symmetricVector;
// Project the position onto the major axis, normalize by axis length,
// and determine whether position is inside ellipsoid.
for (unsigned int i = 0; i < VDimension; ++i)
{
pointVector[i] = position[i] - m_Center[i];
}
uniqueTerm =
std::pow(static_cast<double>(((pointVector * m_Orientation) / (.5 * m_UniqueAxis))), static_cast<double>(2));
symmetricVector = pointVector - (m_Orientation * (pointVector * m_Orientation));
symmetricTerm =
std::pow(static_cast<double>(((symmetricVector.GetNorm()) / (.5 * m_SymmetricAxes))), static_cast<double>(2));
if ((uniqueTerm + symmetricTerm) >= 0 && (uniqueTerm + symmetricTerm) <= 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
SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::PrintSelf(std::ostream & os, Indent indent) const
{
Superclass::PrintSelf(os, indent);
os << indent << "Origin of Ellipsoid: ";
os << m_Center << std::endl;
os << indent << "Unique Axis Orientation: ";
os << m_Orientation << std::endl;
os << indent << "Unique Axis Length: ";
os << m_UniqueAxis << std::endl;
os << indent << "Symmetric Axis Length: ";
os << m_SymmetricAxes << std::endl;
}
template <unsigned int VDimension, typename TInput>
void
SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::SetOrientation(VectorType orientation,
double uniqueAxis,
double symmetricAxes)
{
m_Orientation = orientation; // Orientation of unique axis of ellipsoid
m_SymmetricAxes = symmetricAxes; // Length of symmetric axes
m_UniqueAxis = uniqueAxis; // Length of unique axis
}
} // end namespace itk
#endif
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