ITK  5.4.0 Insight Toolkit
itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension > Class Template Reference

#include <itkAzimuthElevationToCartesianTransform.h>

## Detailed Description

### template<typename TParametersValueType = double, unsigned int VDimension = 3> class itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >

Transforms from an azimuth, elevation, radius coordinate system to a Cartesian coordinate system, or vice versa.

The three coordinate axis are azimuth, elevation, and range.

The azimuth elevation coordinate system is defined similarly to spherical coordinates but is slightly different in that the azimuth and elevation are measured in degrees between the r-axis (i.e z axis) and the projection on the x-z and y-z planes, respectively. Range, or r, is the distance from the origin.

The equations form performing the conversion from azimuth-elevation coordinates to cartesian coordinates are as follows:

z = std::sqrt((r^2*(cos(azimuth))^2)/(1 + (cos(azimuth))^2 * (tan(elevation))^2);
x = z * std::tan(azimuth)
y = z * std::tan(elevation)

The reversed transforms are:

azimuth = arctan(x/y)
elevation = arctan(y/z)
r = std::sqrt(x^2 + y^2 + z^2)

In this class, we can also set what a "forward" transform means. If we call SetForwardAzimuthElevationToCartesian(), a forward transform will return cartesian coordinates when passed azimuth,elevation,r coordinates. Calling SetForwardCartesianToAzimuthElevation() will cause the forward transform to return azimuth,elevation,r coordinates from cartesian coordinates.

Setting the FirstSampleDistance to a non-zero value means that a r value of 12 is actually (12 + FirstSampleDistance) distance from the origin.

There are two template parameters for this class:

TParametersValueType The type to be used for scalar numeric values. Either float or double.

VDimension The number of dimensions of the vector space (must be >=3).

Todo:
Is there any real value in allowing the user to template over the scalar type? Perhaps it should always be double, unless there's a compatibility problem with the Point class.
Todo:
Derive this class from TransformBase class. Currently, this class derives from AffineTransform, although it is not an affine transform.
Todo:
Add a figure in the documentation that informs the formulas used in this class that are used to transform Cartesian to azimuth-elevation-radius
ITK Sphinx Examples:
Examples
SphinxExamples/src/Core/Transform/CartesianToAzimuthElevation/Code.cxx.

Definition at line 88 of file itkAzimuthElevationToCartesianTransform.h.

Inheritance diagram for itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >:
Collaboration diagram for itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >:

## Public Types

using ConstPointer = SmartPointer< const Self >

using MatrixType = Matrix< TParametersValueType, Self::SpaceDimension, Self::SpaceDimension >

using Pointer = SmartPointer< Self >

using Self = AzimuthElevationToCartesianTransform

using Superclass = AffineTransform< TParametersValueType, VDimension >

Public Types inherited from itk::AffineTransform< TParametersValueType, VDimension >
using ConstPointer = SmartPointer< const Self >

using InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using Pointer = SmartPointer< Self >

using Self = AffineTransform

using Superclass = MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >

Public Types inherited from itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >
using CenterType = InputPointType

using ConstPointer = SmartPointer< const Self >

using InputCovariantVectorType = CovariantVector< TParametersValueType, Self::InputSpaceDimension >

using InputPointType = Point< TParametersValueType, Self::InputSpaceDimension >

using InputPointValueType = typename InputPointType::ValueType

using InputTensorEigenVectorType = CovariantVector< TParametersValueType, InputDiffusionTensor3DType::Dimension >

using InputVectorType = Vector< TParametersValueType, Self::InputSpaceDimension >

using InputVnlVectorType = vnl_vector_fixed< TParametersValueType, Self::InputSpaceDimension >

using InverseMatrixType = Matrix< TParametersValueType, Self::InputSpaceDimension, Self::OutputSpaceDimension >

using InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using InverseTransformType = MatrixOffsetTransformBase< TParametersValueType, VOutputDimension, VInputDimension >

using MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using MatrixValueType = typename MatrixType::ValueType

using OffsetType = OutputVectorType

using OffsetValueType = typename OffsetType::ValueType

using OutputCovariantVectorType = CovariantVector< TParametersValueType, Self::OutputSpaceDimension >

using OutputPointType = Point< TParametersValueType, Self::OutputSpaceDimension >

using OutputPointValueType = typename OutputPointType::ValueType

using OutputVectorType = Vector< TParametersValueType, Self::OutputSpaceDimension >

using OutputVectorValueType = typename OutputVectorType::ValueType

using OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, Self::OutputSpaceDimension >

using Pointer = SmartPointer< Self >

using Self = MatrixOffsetTransformBase

using Superclass = Transform< TParametersValueType, VInputDimension, VOutputDimension >

using TranslationType = OutputVectorType

using TranslationValueType = typename TranslationType::ValueType

Public Types inherited from itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >
using ConstPointer = SmartPointer< const Self >

using DerivativeType = Array< ParametersValueType >

using DirectionChangeMatrix = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using InputCovariantVectorType = CovariantVector< TParametersValueType, VInputDimension >

using InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension >

using InputPointType = Point< TParametersValueType, VInputDimension >

using InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VInputDimension >

using InputVectorPixelType = VariableLengthVector< TParametersValueType >

using InputVectorType = Vector< TParametersValueType, VInputDimension >

using InputVnlVectorType = vnl_vector_fixed< TParametersValueType, VInputDimension >

using InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using InverseTransformBaseType = Transform< TParametersValueType, VOutputDimension, VInputDimension >

using JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using JacobianType = Array2D< ParametersValueType >

using MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using OutputCovariantVectorType = CovariantVector< TParametersValueType, VOutputDimension >

using OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension >

using OutputPointType = Point< TParametersValueType, VOutputDimension >

using OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension >

using OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using OutputVectorType = Vector< TParametersValueType, VOutputDimension >

using OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, VOutputDimension >

using Pointer = SmartPointer< Self >

using ScalarType = ParametersValueType

using Self = Transform

using Superclass = TransformBaseTemplate< TParametersValueType >

Public Types inherited from itk::TransformBaseTemplate< TParametersValueType >
using ConstPointer = SmartPointer< const Self >

using FixedParametersType = OptimizerParameters< FixedParametersValueType >

using FixedParametersValueType = double

using NumberOfParametersType = IdentifierType

using ParametersType = OptimizerParameters< ParametersValueType >

using ParametersValueType = TParametersValueType

using Pointer = SmartPointer< Self >

using Self = TransformBaseTemplate

using Superclass = Object

using TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

Public Types inherited from itk::Object
using ConstPointer = SmartPointer< const Self >

using Pointer = SmartPointer< Self >

using Self = Object

using Superclass = LightObject

Public Types inherited from itk::LightObject
using ConstPointer = SmartPointer< const Self >

using Pointer = SmartPointer< Self >

using Self = LightObject

## Public Member Functions

InputPointType BackTransform (const OutputPointType &point) const

InputPointType BackTransformPoint (const OutputPointType &point) const

TransformCategoryEnum GetTransformCategory () const override

itkOverrideGetNameOfClassMacro (AzimuthElevationToCartesianTransform)

void SetAzimuthElevationToCartesianParameters (const double sampleSize, const double firstSampleDistance, const long maxAzimuth, const long maxElevation)

void SetAzimuthElevationToCartesianParameters (const double sampleSize, const double firstSampleDistance, const long maxAzimuth, const long maxElevation, const double azimuthAngleSeparation, const double elevationAngleSeparation)

void SetForwardAzimuthElevationToCartesian ()

void SetForwardCartesianToAzimuthElevation ()

OutputPointType TransformAzElToCartesian (const InputPointType &point) const

OutputPointType TransformCartesianToAzEl (const OutputPointType &point) const

OutputPointType TransformPoint (const InputPointType &point) const override

virtual void SetMaxAzimuth (long _arg)

virtual long GetMaxAzimuth () const

virtual void SetMaxElevation (long _arg)

virtual long GetMaxElevation () const

virtual void SetAzimuthAngularSeparation (double _arg)

virtual double GetAzimuthAngularSeparation () const

virtual void SetElevationAngularSeparation (double _arg)

virtual double GetElevationAngularSeparation () const

virtual void SetFirstSampleDistance (double _arg)

virtual double GetFirstSampleDistance () const

Public Member Functions inherited from itk::AffineTransform< TParametersValueType, VDimension >
bool GetInverse (Self *inverse) const

InverseTransformBasePointer GetInverseTransform () const override

itkOverrideGetNameOfClassMacro (AffineTransform)

ScalarType Metric () const

ScalarType Metric (const Self *other) const

void Rotate2D (TParametersValueType angle, bool pre=false)

void Rotate3D (const OutputVectorType &axis, TParametersValueType angle, bool pre=false)

void Scale (const OutputVectorType &factor, bool pre=false)

void Scale (const TParametersValueType &factor, bool pre=false)

void Shear (int axis1, int axis2, TParametersValueType coef, bool pre=false)

void Translate (const OutputVectorType &trans, bool pre=false)

void Rotate (int axis1, int axis2, TParametersValueType angle, bool pre=false)

Public Member Functions inherited from itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >
void Compose (const Self *other, bool pre=false)

void ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, InverseJacobianPositionType &jac) const override

void ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

void ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianPositionType &jac) const override

const InputPointTypeGetCenter () const

const FixedParametersTypeGetFixedParameters () const override

InverseTransformBasePointer GetInverseTransform () const override

virtual const MatrixTypeGetMatrix () const

const OutputVectorTypeGetOffset () const

const ParametersTypeGetParameters () const override

TransformCategoryEnum GetTransformCategory () const override

const OutputVectorTypeGetTranslation () const

bool IsLinear () const override

itkOverrideGetNameOfClassMacro (MatrixOffsetTransformBase)

void SetFixedParameters (const FixedParametersType &) override

virtual void SetIdentity ()

void SetParameters (const ParametersType &parameters) override

OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &vec) const override

OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &vect) const override

OutputDiffusionTensor3DType TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const override

OutputVectorPixelType TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const override

OutputPointType TransformPoint (const InputPointType &point) const override

OutputSymmetricSecondRankTensorType TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor) const override

OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor) const override

OutputVectorPixelType TransformVector (const InputVectorPixelType &vect) const override

OutputVectorType TransformVector (const InputVectorType &vect) const override

OutputVnlVectorType TransformVector (const InputVnlVectorType &vect) const override

virtual void SetMatrix (const MatrixType &matrix)

void SetOffset (const OutputVectorType &offset)

void SetCenter (const InputPointType &center)

void SetTranslation (const OutputVectorType &translation)

bool GetInverse (InverseTransformType *inverse) const

Public Member Functions inherited from itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >
virtual void ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

void CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override

void CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override

unsigned int GetInputSpaceDimension () const override

virtual const std::string & GetInputSpaceName () const

bool GetInverse (Self *) const

virtual NumberOfParametersType GetNumberOfFixedParameters () const

virtual NumberOfParametersType GetNumberOfLocalParameters () const

NumberOfParametersType GetNumberOfParameters () const override

unsigned int GetOutputSpaceDimension () const override

virtual const std::string & GetOutputSpaceName () const

std::string GetTransformTypeAsString () const override

itkCloneMacro (Self)

itkOverrideGetNameOfClassMacro (Transform)

void SetFixedParameters (const FixedParametersType &) override=0

virtual void SetInputSpaceName (std::string _arg)

virtual void SetOutputSpaceName (std::string _arg)

void SetParameters (const ParametersType &) override=0

void SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputDiffusionTensor3DType TransformDiffusionTensor3D (const InputDiffusionTensor3DType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputSymmetricSecondRankTensorType TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputVectorType TransformVector (const InputVectorType &vector, const InputPointType &point) const

virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const

virtual void UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

itkLegacyMacro (virtual void ComputeJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)

itkLegacyMacro (virtual void ComputeInverseJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)

template<typename TImage >
std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void > ApplyToImageMetadata (TImage *image) const

template<typename TImage >
std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void > ApplyToImageMetadata (SmartPointer< TImage > image) const

Public Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
itkOverrideGetNameOfClassMacro (TransformBaseTemplate)

virtual void SetParametersByValue (const ParametersType &p)=0

Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)

unsigned long AddObserver (const EventObject &event, Command *) const

unsigned long AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const

LightObject::Pointer CreateAnother () const override

virtual void DebugOff () const

virtual void DebugOn () const

CommandGetCommand (unsigned long tag)

bool GetDebug () const

virtual ModifiedTimeType GetMTime () const

virtual const TimeStampGetTimeStamp () const

bool HasObserver (const EventObject &event) const

void InvokeEvent (const EventObject &)

void InvokeEvent (const EventObject &) const

itkOverrideGetNameOfClassMacro (Object)

virtual void Modified () const

void Register () const override

void RemoveAllObservers ()

void RemoveObserver (unsigned long tag)

void SetDebug (bool debugFlag) const

void SetReferenceCount (int) override

void UnRegister () const noexcept override

virtual void SetObjectName (std::string _arg)

virtual const std::string & GetObjectName () const

Public Member Functions inherited from itk::LightObject
Pointer Clone () const

virtual void Delete ()

virtual int GetReferenceCount () const

itkVirtualGetNameOfClassMacro (LightObject)

void Print (std::ostream &os, Indent indent=0) const

## Static Public Member Functions

static Pointer New ()

Static Public Member Functions inherited from itk::AffineTransform< TParametersValueType, VDimension >
static Pointer New ()

Static Public Member Functions inherited from itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >
static Pointer New ()

Static Public Member Functions inherited from itk::Object
static bool GetGlobalWarningDisplay ()

static void GlobalWarningDisplayOff ()

static void GlobalWarningDisplayOn ()

static Pointer New ()

static void SetGlobalWarningDisplay (bool val)

Static Public Member Functions inherited from itk::LightObject
static void BreakOnError ()

static Pointer New ()

## Static Public Attributes

static constexpr unsigned int ParametersDimension = VDimension * (VDimension + 1)

static constexpr unsigned int SpaceDimension = VDimension

Static Public Attributes inherited from itk::AffineTransform< TParametersValueType, VDimension >
static constexpr unsigned int InputSpaceDimension = VDimension

static constexpr unsigned int OutputSpaceDimension = VDimension

static constexpr unsigned int ParametersDimension = VDimension * (VDimension + 1)

static constexpr unsigned int SpaceDimension = VDimension

Static Public Attributes inherited from itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >
static constexpr unsigned int InputSpaceDimension

static constexpr unsigned int OutputSpaceDimension

static constexpr unsigned int ParametersDimension

Static Public Attributes inherited from itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >
static constexpr unsigned int InputSpaceDimension = VInputDimension

static constexpr unsigned int OutputSpaceDimension = VOutputDimension

## Protected Member Functions

AzimuthElevationToCartesianTransform ()

void PrintSelf (std::ostream &os, Indent indent) const override

~AzimuthElevationToCartesianTransform () override=default

Protected Member Functions inherited from itk::AffineTransform< TParametersValueType, VDimension >
~AffineTransform () override=default

AffineTransform (const MatrixType &matrix, const OutputVectorType &offset)

AffineTransform (unsigned int parametersDimension)

AffineTransform ()

Protected Member Functions inherited from itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >
virtual void ComputeMatrix ()

virtual void ComputeMatrixParameters ()

virtual void ComputeOffset ()

virtual void ComputeTranslation ()

const InverseMatrixTypeGetInverseMatrix () const

virtual bool GetSingular () const

const InverseMatrixTypeGetVarInverseMatrix () const

bool InverseMatrixIsOld () const

void PrintSelf (std::ostream &os, Indent indent) const override

void SetVarCenter (const InputPointType &center)

void SetVarInverseMatrix (const InverseMatrixType &matrix) const

void SetVarMatrix (const MatrixType &matrix)

void SetVarOffset (const OutputVectorType &offset)

void SetVarTranslation (const OutputVectorType &translation)

~MatrixOffsetTransformBase () override=default

MatrixOffsetTransformBase (const MatrixType &matrix, const OutputVectorType &offset)

MatrixOffsetTransformBase (unsigned int paramDims=ParametersDimension)

Protected Member Functions inherited from itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >
LightObject::Pointer InternalClone () const override

OutputDiffusionTensor3DType PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const

Transform ()=default

Transform (NumberOfParametersType numberOfParameters)

~Transform () override=default

Protected Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
TransformBaseTemplate ()=default

~TransformBaseTemplate () override=default

Protected Member Functions inherited from itk::Object
Object ()

bool PrintObservers (std::ostream &os, Indent indent) const

virtual void SetTimeStamp (const TimeStamp &timeStamp)

~Object () override

Protected Member Functions inherited from itk::LightObject
LightObject ()

virtual void PrintHeader (std::ostream &os, Indent indent) const

virtual void PrintTrailer (std::ostream &os, Indent indent) const

virtual ~LightObject ()

## Private Attributes

double m_AzimuthAngularSeparation {}

double m_ElevationAngularSeparation {}

double m_FirstSampleDistance {}

bool m_ForwardAzimuthElevationToPhysical {}

long m_MaxAzimuth {}

long m_MaxElevation {}

Protected Attributes inherited from itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >
FixedParametersType m_FixedParameters {}

ParametersType m_Parameters {}

Protected Attributes inherited from itk::LightObject
std::atomic< int > m_ReferenceCount {}

## ◆ ConstPointer

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 using itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::ConstPointer = SmartPointer

Definition at line 98 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ MatrixType

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 using itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::MatrixType = Matrix

Standard matrix type for this class.

Definition at line 128 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ Pointer

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 using itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::Pointer = SmartPointer

Definition at line 97 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ Self

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 using itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::Self = AzimuthElevationToCartesianTransform

Standard class type aliases.

Definition at line 95 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ Superclass

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 using itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::Superclass = AffineTransform

Definition at line 96 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ AzimuthElevationToCartesianTransform()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::AzimuthElevationToCartesianTransform ( )
protected

## ◆ ~AzimuthElevationToCartesianTransform()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::~AzimuthElevationToCartesianTransform ( )
overrideprotecteddefault

## ◆ BackTransform()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 InputPointType itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::BackTransform ( const OutputPointType & point ) const
inline

Back transform from cartesian to azimuth-elevation.

Definition at line 151 of file itkAzimuthElevationToCartesianTransform.h.

References itk::point().

## ◆ BackTransformPoint()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 InputPointType itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::BackTransformPoint ( const OutputPointType & point ) const
inline

Definition at line 167 of file itkAzimuthElevationToCartesianTransform.h.

References itk::point().

## ◆ GetAzimuthAngularSeparation()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetAzimuthAngularSeparation ( ) const
virtual

Set the number of degrees between each azimuth unit.

## ◆ GetElevationAngularSeparation()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetElevationAngularSeparation ( ) const
virtual

Set the number of degrees between each elevation unit.

## ◆ GetFirstSampleDistance()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetFirstSampleDistance ( ) const
virtual

## ◆ GetMaxAzimuth()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual long itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetMaxAzimuth ( ) const
virtual

Set the maximum azimuth. The maximum azimuth and elevation can be set so that the resulting cartesian space is symmetric about the z axis. Therefore, the line defined by azimuth/2,elevation/2 = z-axis.

## ◆ GetMaxElevation()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual long itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetMaxElevation ( ) const
virtual

Set the maximum elevation The maximum azimuth and elevation can be set so that the resulting cartesian space is symmetric about the z axis. Therefore, the line defined by azimuth/2,elevation/2 = z-axis.

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetRadiusSampleSize ( ) const
virtual

Set the number of cartesian units between each unit along the R .

## ◆ GetTransformCategory()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 TransformCategoryEnum itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetTransformCategory ( ) const
inlineoverridevirtual

Overrides the TransformCategoryEnum to UnknownTransformCategory. Even though this class derives from AffineTransform, its not a linear transform

Definition at line 176 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ itkOverrideGetNameOfClassMacro()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::itkOverrideGetNameOfClassMacro ( AzimuthElevationToCartesianTransform< TParametersValueType, VDimension > )

Run-time type information (and related methods).

## ◆ New()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 static Pointer itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::New ( )
static

New macro for creation of through a Smart Pointer.

## ◆ PrintSelf()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::PrintSelf ( std::ostream & os, Indent indent ) const
overrideprotectedvirtual

Print contents of an AzimuthElevationTransform.

Reimplemented from itk::Object.

## ◆ SetAzimuthAngularSeparation()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetAzimuthAngularSeparation ( double _arg )
virtual

Set the number of degrees between each azimuth unit.

## ◆ SetAzimuthElevationToCartesianParameters() [1/2]

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetAzimuthElevationToCartesianParameters ( const double sampleSize, const double firstSampleDistance, const long maxAzimuth, const long maxElevation )

## ◆ SetAzimuthElevationToCartesianParameters() [2/2]

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetAzimuthElevationToCartesianParameters ( const double sampleSize, const double firstSampleDistance, const long maxAzimuth, const long maxElevation, const double azimuthAngleSeparation, const double elevationAngleSeparation )

Set the transformation parameters.

## ◆ SetElevationAngularSeparation()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetElevationAngularSeparation ( double _arg )
virtual

Set the number of degrees between each elevation unit.

## ◆ SetFirstSampleDistance()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetFirstSampleDistance ( double _arg )
virtual

## ◆ SetForwardAzimuthElevationToCartesian()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetForwardAzimuthElevationToCartesian ( )

Defines that the forward transform goes from azimuth,elevation to cartesian.

## ◆ SetForwardCartesianToAzimuthElevation()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetForwardCartesianToAzimuthElevation ( )

Defines that the forward transform goes from cartesian to azimuth, elevation.

## ◆ SetMaxAzimuth()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetMaxAzimuth ( long _arg )
virtual

Set the maximum azimuth. The maximum azimuth and elevation can be set so that the resulting cartesian space is symmetric about the z axis. Therefore, the line defined by azimuth/2,elevation/2 = z-axis.

## ◆ SetMaxElevation()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetMaxElevation ( long _arg )
virtual

Set the maximum elevation The maximum azimuth and elevation can be set so that the resulting cartesian space is symmetric about the z axis. Therefore, the line defined by azimuth/2,elevation/2 = z-axis.

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SetRadiusSampleSize ( double _arg )
virtual

Set the number of cartesian units between each unit along the R .

## ◆ TransformAzElToCartesian()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 OutputPointType itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::TransformAzElToCartesian ( const InputPointType & point ) const

Transform a point from azimuth-elevation coordinates to Cartesian coordinates.

## ◆ TransformCartesianToAzEl()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 OutputPointType itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::TransformCartesianToAzEl ( const OutputPointType & point ) const

Transform a point from Cartesian coordinates to azimuth-elevation coordinates.

## ◆ TransformPoint()

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 OutputPointType itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::TransformPoint ( const InputPointType & point ) const
overridevirtual

Transform from azimuth-elevation to cartesian.

## ◆ m_AzimuthAngularSeparation

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::m_AzimuthAngularSeparation {}
private

Definition at line 250 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ m_ElevationAngularSeparation

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::m_ElevationAngularSeparation {}
private

Definition at line 251 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ m_FirstSampleDistance

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::m_FirstSampleDistance {}
private

Definition at line 252 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ m_ForwardAzimuthElevationToPhysical

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 bool itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::m_ForwardAzimuthElevationToPhysical {}
private

Definition at line 253 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ m_MaxAzimuth

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 long itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::m_MaxAzimuth {}
private

Definition at line 247 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ m_MaxElevation

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 long itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::m_MaxElevation {}
private

Definition at line 248 of file itkAzimuthElevationToCartesianTransform.h.

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 double itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::m_RadiusSampleSize {}
private

Definition at line 249 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ ParametersDimension

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 constexpr unsigned int itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::ParametersDimension = VDimension * (VDimension + 1)
staticconstexpr

Definition at line 102 of file itkAzimuthElevationToCartesianTransform.h.

## ◆ SpaceDimension

template<typename TParametersValueType = double, unsigned int VDimension = 3>
 constexpr unsigned int itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::SpaceDimension = VDimension
staticconstexpr

Dimension of the domain space.

Definition at line 101 of file itkAzimuthElevationToCartesianTransform.h.

The documentation for this class was generated from the following file: