itkPhasedArray3DSpecialCoordinatesImage.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 itkPhasedArray3DSpecialCoordinatesImage_h
#define itkPhasedArray3DSpecialCoordinatesImage_h

#include "itkSpecialCoordinatesImage.h"
#include "itkPoint.h"
#include "vnl/vnl_math.h"

namespace itk
{
template< typename TPixel >
class PhasedArray3DSpecialCoordinatesImage:
  public SpecialCoordinatesImage< TPixel, 3 >
{
public:
  typedef PhasedArray3DSpecialCoordinatesImage Self;
  typedef SpecialCoordinatesImage< TPixel, 3 > Superclass;
  typedef SmartPointer< Self >                 Pointer;
  typedef SmartPointer< const Self >           ConstPointer;
  typedef WeakPointer< const Self >            ConstWeakPointer;

  itkNewMacro(Self);

  itkTypeMacro(PhasedArray3DSpecialCoordinatesImage, SpecialCoordinatesImage);

  typedef TPixel PixelType;

  typedef TPixel ValueType;

  typedef TPixel InternalPixelType;

  typedef typename Superclass::IOPixelType IOPixelType;

  typedef DefaultPixelAccessor< PixelType > AccessorType;

  typedef DefaultPixelAccessorFunctor< Self > AccessorFunctorType;

  itkStaticConstMacro(ImageDimension, unsigned int, 3);

  typedef typename Superclass::IndexType      IndexType;
  typedef typename Superclass::IndexValueType IndexValueType;

  typedef typename Superclass::OffsetType OffsetType;

  typedef typename Superclass::SizeType      SizeType;
  typedef typename Superclass::SizeValueType SizeValueType;

  typedef ImportImageContainer< SizeValueType, PixelType > PixelContainer;

  typedef typename Superclass::RegionType RegionType;

  typedef typename Superclass::SpacingType SpacingType;

  typedef typename Superclass::PointType PointType;

  typedef typename PixelContainer::Pointer      PixelContainerPointer;
  typedef typename PixelContainer::ConstPointer PixelContainerConstPointer;

  template< typename TCoordRep >
  bool TransformPhysicalPointToContinuousIndex(
    const Point< TCoordRep, 3 > & point,
    ContinuousIndex< TCoordRep, 3 > & index) const
  {
    RegionType region = this->GetLargestPossibleRegion();
    double     maxAzimuth =    region.GetSize(0) - 1;
    double     maxElevation =  region.GetSize(1) - 1;

    // Convert Cartesian coordinates into angular coordinates
    TCoordRep azimuth   = std::atan(point[0] / point[2]);
    TCoordRep elevation = std::atan(point[1] / point[2]);
    TCoordRep radius    = std::sqrt(point[0] * point[0]
                                   + point[1] * point[1]
                                   + point[2] * point[2]);

    // Convert the "proper" angular coordinates into index format
    index[0] = static_cast< TCoordRep >( ( azimuth / m_AzimuthAngularSeparation )
                                         + ( maxAzimuth / 2.0 ) );
    index[1] = static_cast< TCoordRep >( ( elevation / m_ElevationAngularSeparation )
                                         + ( maxElevation / 2.0 ) );
    index[2] = static_cast< TCoordRep >( ( ( radius - m_FirstSampleDistance )
                                           / m_RadiusSampleSize ) );

    // Now, check to see if the index is within allowed bounds
    const bool isInside = region.IsInside(index);

    return isInside;
  }

  template< typename TCoordRep >
  bool TransformPhysicalPointToIndex(
    const Point< TCoordRep, 3 > & point,
    IndexType & index) const
  {
    RegionType region = this->GetLargestPossibleRegion();
    double     maxAzimuth =    region.GetSize(0) - 1;
    double     maxElevation =  region.GetSize(1) - 1;

    // Convert Cartesian coordinates into angular coordinates
    TCoordRep azimuth   = std::atan(point[0] / point[2]);
    TCoordRep elevation = std::atan(point[1] / point[2]);
    TCoordRep radius    = std::sqrt(point[0] * point[0]
                                   + point[1] * point[1]
                                   + point[2] * point[2]);

    // Convert the "proper" angular coordinates into index format
    index[0] = static_cast< IndexValueType >(
      ( azimuth / m_AzimuthAngularSeparation )
      + ( maxAzimuth / 2.0 ) );
    index[1] = static_cast< IndexValueType >(
      ( elevation / m_ElevationAngularSeparation )
      + ( maxElevation / 2.0 ) );
    index[2] = static_cast< IndexValueType >(
      ( ( radius - m_FirstSampleDistance )
        / m_RadiusSampleSize ) );

    // Now, check to see if the index is within allowed bounds
    const bool isInside = region.IsInside(index);

    return isInside;
  }

  template< typename TCoordRep >
  void TransformContinuousIndexToPhysicalPoint(
    const ContinuousIndex< TCoordRep, 3 > & index,
    Point< TCoordRep, 3 > & point) const
  {
    RegionType region = this->GetLargestPossibleRegion();
    double     maxAzimuth =    region.GetSize(0) - 1;
    double     maxElevation =  region.GetSize(1) - 1;

    // Convert the index into proper angular coordinates
    TCoordRep azimuth   = ( index[0] - ( maxAzimuth / 2.0 ) )
                          * m_AzimuthAngularSeparation;
    TCoordRep elevation = ( index[1] - ( maxElevation / 2.0 ) )
                          * m_ElevationAngularSeparation;
    TCoordRep radius    = ( index[2] * m_RadiusSampleSize ) + m_FirstSampleDistance;

    // Convert the angular coordinates into Cartesian coordinates
    TCoordRep tanOfAzimuth    = std::tan(azimuth);
    TCoordRep tanOfElevation  = std::tan(elevation);

    point[2] = static_cast< TCoordRep >( radius
                                         / std::sqrt(1
                                                    + tanOfAzimuth * tanOfAzimuth
                                                    + tanOfElevation * tanOfElevation) );
    point[1] = static_cast< TCoordRep >( point[2] * tanOfElevation );
    point[0] = static_cast< TCoordRep >( point[2] * tanOfAzimuth );
  }

  template< typename TCoordRep >
  void TransformIndexToPhysicalPoint(
    const IndexType & index,
    Point< TCoordRep, 3 > & point) const
  {
    RegionType region = this->GetLargestPossibleRegion();
    double     maxAzimuth =    region.GetSize(0) - 1;
    double     maxElevation =  region.GetSize(1) - 1;

    // Convert the index into proper angular coordinates
    TCoordRep azimuth =
      ( static_cast< double >( index[0] ) - ( maxAzimuth / 2.0 ) )
      * m_AzimuthAngularSeparation;
    TCoordRep elevation =
      ( static_cast< double >( index[1] ) - ( maxElevation / 2.0 ) )
      * m_ElevationAngularSeparation;
    TCoordRep radius =
      ( static_cast< double >( index[2] ) * m_RadiusSampleSize )
      + m_FirstSampleDistance;

    // Convert the angular coordinates into Cartesian coordinates
    TCoordRep tanOfAzimuth    = std::tan(azimuth);
    TCoordRep tanOfElevation  = std::tan(elevation);

    point[2] = static_cast< TCoordRep >(
      radius / std::sqrt(
        1.0 + tanOfAzimuth * tanOfAzimuth + tanOfElevation * tanOfElevation) );
    point[1] = static_cast< TCoordRep >( point[2] * tanOfElevation );
    point[0] = static_cast< TCoordRep >( point[2] * tanOfAzimuth );
  }

  itkSetMacro(AzimuthAngularSeparation, double);

  itkSetMacro(ElevationAngularSeparation, double);

  itkSetMacro(RadiusSampleSize, double);

  itkSetMacro(FirstSampleDistance, double);

  template< typename TCoordRep >
  void TransformLocalVectorToPhysicalVector(
    FixedArray< TCoordRep, 3 > & ) const
    {}

  template< typename TCoordRep >
  void TransformPhysicalVectorToLocalVector(
    const FixedArray< TCoordRep, 3 > & ,
    FixedArray< TCoordRep, 3 > & ) const
    {}

protected:
  PhasedArray3DSpecialCoordinatesImage()
  {
    m_RadiusSampleSize = 1;
    m_AzimuthAngularSeparation   =  1 * ( 2.0 * vnl_math::pi / 360.0 ); // 1
                                                                        // degree
    m_ElevationAngularSeparation =  1 * ( 2.0 * vnl_math::pi / 360.0 ); // 1
                                                                        // degree
    m_FirstSampleDistance = 0;
  }

  virtual ~PhasedArray3DSpecialCoordinatesImage() {}
  void PrintSelf(std::ostream & os, Indent indent) const ITK_OVERRIDE;

private:
  PhasedArray3DSpecialCoordinatesImage(const Self &); //purposely not
                                                      // implemented
  void operator=(const Self &);                       //purposely not
                                                      // implemented

  double m_AzimuthAngularSeparation;    // in radians
  double m_ElevationAngularSeparation;  // in radians
  double m_RadiusSampleSize;
  double m_FirstSampleDistance;
};
} // end namespace itk

#ifndef ITK_MANUAL_INSTANTIATION
#include "itkPhasedArray3DSpecialCoordinatesImage.hxx"
#endif

#endif