File: itkAzimuthElevationToCartesianTransform.hxx

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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 itkAzimuthElevationToCartesianTransform_hxx
#define itkAzimuthElevationToCartesianTransform_hxx


namespace itk
{

template <typename TParametersValueType, unsigned int VDimension>
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::AzimuthElevationToCartesianTransform()
// add this construction call when deriving from itk::Transform
// :Superclass(ParametersDimension)
{
  m_MaxAzimuth = 0;
  m_MaxElevation = 0;
  m_RadiusSampleSize = 1;
  m_AzimuthAngularSeparation = 1;
  m_ElevationAngularSeparation = 1;
  m_FirstSampleDistance = 0;
  m_ForwardAzimuthElevationToPhysical = true;
}

template <typename TParametersValueType, unsigned int VDimension>
void
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::PrintSelf(std::ostream & os,
                                                                                  Indent         indent) const
{
  Superclass::PrintSelf(os, indent);

  os << indent << "MaxAzimuth: " << m_MaxAzimuth << std::endl;
  os << indent << "MaxElevation: " << m_MaxElevation << std::endl;
  os << indent << "RadiusSampleSize: " << m_RadiusSampleSize << std::endl;
  os << indent << "AzimuthAngularSeparation: " << m_AzimuthAngularSeparation << std::endl;
  os << indent << "ElevationAngularSeparation: " << m_ElevationAngularSeparation << std::endl;
  os << indent << "FirstSampleDistance: " << m_FirstSampleDistance << std::endl;
  os << indent << "ForwardAzimuthElevationToPhysical: " << (m_ForwardAzimuthElevationToPhysical ? "On" : "Off")
     << std::endl;
}

template <typename TParametersValueType, unsigned int VDimension>
auto
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::TransformPoint(
  const InputPointType & point) const -> OutputPointType
{
  OutputPointType result;

  if (m_ForwardAzimuthElevationToPhysical)
  {
    result = TransformAzElToCartesian(point);
  }
  else
  {
    result = TransformCartesianToAzEl(point);
  }
  return result;
}

template <typename TParametersValueType, unsigned int VDimension>
auto
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::TransformAzElToCartesian(
  const InputPointType & point) const -> OutputPointType
{
  OutputPointType result;
  ScalarType      Azimuth =
    ((2 * itk::Math::pi) / 360) * (point[0] * m_AzimuthAngularSeparation - ((m_MaxAzimuth - 1) / 2.0));
  ScalarType Elevation =
    ((2 * itk::Math::pi) / 360) * (point[1] * m_ElevationAngularSeparation - ((m_MaxElevation - 1) / 2.0));
  ScalarType r = (m_FirstSampleDistance + point[2]) * m_RadiusSampleSize;

  ScalarType cosOfAzimuth = std::cos(Azimuth);
  ScalarType tanOfElevation = std::tan(Elevation);

  result[2] = (r * cosOfAzimuth) / std::sqrt((1 + cosOfAzimuth * cosOfAzimuth * tanOfElevation * tanOfElevation));
  result[0] = result[2] * std::tan(Azimuth);
  result[1] = result[2] * tanOfElevation;
  return result;
}

template <typename TParametersValueType, unsigned int VDimension>
auto
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::TransformCartesianToAzEl(
  const OutputPointType & point) const -> OutputPointType
{
  InputPointType result; // Converted point

  result[0] = std::atan2(point[0], point[2]) * (360 / (2 * itk::Math::pi)) + ((m_MaxAzimuth - 1) / 2.0);
  result[1] = std::atan2(point[1], point[2]) * (360 / (2 * itk::Math::pi)) + ((m_MaxElevation - 1) / 2.0);
  result[2] = ((std::sqrt(point[0] * point[0] + point[1] * point[1] + point[2] * point[2]) / m_RadiusSampleSize) -
               m_FirstSampleDistance);
  return result;
}

template <typename TParametersValueType, unsigned int VDimension>
void
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::SetAzimuthElevationToCartesianParameters(
  const double sampleSize,
  const double firstSampleDistance,
  const long   maxAzimuth,
  const long   maxElevation,
  const double azimuthAngleSeparation,
  const double elevationAngleSeparation)
{
  SetMaxAzimuth(static_cast<long>(static_cast<double>(maxAzimuth) * azimuthAngleSeparation));
  SetMaxElevation(static_cast<long>(static_cast<double>(maxElevation) * elevationAngleSeparation));
  SetRadiusSampleSize(sampleSize);
  SetAzimuthAngularSeparation(azimuthAngleSeparation);
  SetElevationAngularSeparation(elevationAngleSeparation);
  SetFirstSampleDistance(firstSampleDistance / sampleSize);
}

template <typename TParametersValueType, unsigned int VDimension>
void
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::SetAzimuthElevationToCartesianParameters(
  const double sampleSize,
  const double firstSampleDistance,
  const long   maxAzimuth,
  const long   maxElevation)
{
  SetAzimuthElevationToCartesianParameters(sampleSize, firstSampleDistance, maxAzimuth, maxElevation, 1.0, 1.0);
}

template <typename TParametersValueType, unsigned int VDimension>
void
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::SetForwardAzimuthElevationToCartesian()
{
  m_ForwardAzimuthElevationToPhysical = true;
}

template <typename TParametersValueType, unsigned int VDimension>
void
AzimuthElevationToCartesianTransform<TParametersValueType, VDimension>::SetForwardCartesianToAzimuthElevation()
{
  m_ForwardAzimuthElevationToPhysical = false;
}
} // namespace itk
#endif