ITK  5.0.0 Insight Segmentation and Registration Toolkit
itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions > Class Template Reference

`#include <itkAzimuthElevationToCartesianTransform.h>`

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

## Detailed Description

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

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.

NDimensions 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 a yet undefined 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
Wiki Examples:

Definition at line 85 of file itkAzimuthElevationToCartesianTransform.h.

## Public Types

using ConstPointer = SmartPointer< const Self >

using FixedParametersType = typename Superclass::FixedParametersType

using InputPointType = typename Superclass::InputPointType

using InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

using JacobianPositionType = typename Superclass::JacobianPositionType

using JacobianType = typename Superclass::JacobianType

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

using OutputPointType = typename Superclass::OutputPointType

using ParametersType = typename Superclass::ParametersType

using Pointer = SmartPointer< Self >

using ScalarType = typename Superclass::ScalarType

using Self = AzimuthElevationToCartesianTransform

using Superclass = AffineTransform< TParametersValueType, NDimensions >

using TransformCategoryType = typename Superclass::TransformCategoryType

Public Types inherited from itk::AffineTransform< TParametersValueType, NDimensions >
using CenterType = typename Superclass::CenterType

using ConstPointer = SmartPointer< const Self >

using FixedParametersType = typename Superclass::FixedParametersType

using InputCovariantVectorType = typename Superclass::InputCovariantVectorType

using InputPointType = typename Superclass::InputPointType

using InputVectorType = typename Superclass::InputVectorType

using InputVnlVectorType = typename Superclass::InputVnlVectorType

using InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

using InverseMatrixType = typename Superclass::InverseMatrixType

using InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using JacobianPositionType = typename Superclass::JacobianPositionType

using JacobianType = typename Superclass::JacobianType

using MatrixType = typename Superclass::MatrixType

using OffsetType = typename Superclass::OffsetType

using OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType

using OutputPointType = typename Superclass::OutputPointType

using OutputVectorType = typename Superclass::OutputVectorType

using OutputVnlVectorType = typename Superclass::OutputVnlVectorType

using ParametersType = typename Superclass::ParametersType

using Pointer = SmartPointer< Self >

using ScalarType = typename Superclass::ScalarType

using Self = AffineTransform

using Superclass = MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >

using TranslationType = typename Superclass::TranslationType

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

using ConstPointer = SmartPointer< const Self >

using FixedParametersType = typename Superclass::FixedParametersType

using FixedParametersValueType = typename Superclass::FixedParametersValueType

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

using InputDiffusionTensor3DType = typename Superclass::InputDiffusionTensor3DType

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

using InputPointValueType = typename InputPointType::ValueType

using InputSymmetricSecondRankTensorType = typename Superclass::InputSymmetricSecondRankTensorType

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

using InputVectorPixelType = typename Superclass::InputVectorPixelType

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

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

using InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

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

using InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using JacobianPositionType = typename Superclass::JacobianPositionType

using JacobianType = typename Superclass::JacobianType

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 OutputDiffusionTensor3DType = typename Superclass::OutputDiffusionTensor3DType

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

using OutputPointValueType = typename OutputPointType::ValueType

using OutputSymmetricSecondRankTensorType = typename Superclass::OutputSymmetricSecondRankTensorType

using OutputVectorPixelType = typename Superclass::OutputVectorPixelType

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

using OutputVectorValueType = typename OutputVectorType::ValueType

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

using ParametersType = typename Superclass::ParametersType

using ParametersValueType = typename Superclass::ParametersValueType

using Pointer = SmartPointer< Self >

using ScalarType = typename Superclass::ScalarType

using Self = MatrixOffsetTransformBase

using Superclass = Transform< TParametersValueType, NInputDimensions, NOutputDimensions >

using TransformCategoryType = typename Superclass::TransformCategoryType

using TranslationType = OutputVectorType

using TranslationValueType = typename TranslationType::ValueType

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

using DerivativeType = Array< ParametersValueType >

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

using FixedParametersType = typename Superclass::FixedParametersType

using FixedParametersValueType = typename Superclass::FixedParametersValueType

using InputCovariantVectorType = CovariantVector< TParametersValueType, NInputDimensions >

using InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

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

using InputPointType = Point< TParametersValueType, NInputDimensions >

using InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NInputDimensions >

using InputVectorPixelType = VariableLengthVector< TParametersValueType >

using InputVectorType = Vector< TParametersValueType, NInputDimensions >

using InputVnlVectorType = vnl_vector_fixed< TParametersValueType, NInputDimensions >

using InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, NInputDimensions, NOutputDimensions >

using InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using InverseTransformBaseType = Transform< TParametersValueType, NOutputDimensions, NInputDimensions >

using JacobianPositionType = vnl_matrix_fixed< ParametersValueType, NOutputDimensions, NInputDimensions >

using JacobianType = Array2D< ParametersValueType >

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

using NumberOfParametersType = typename Superclass::NumberOfParametersType

using OutputCovariantVectorType = CovariantVector< TParametersValueType, NOutputDimensions >

using OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

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

using OutputPointType = Point< TParametersValueType, NOutputDimensions >

using OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NOutputDimensions >

using OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using OutputVectorType = Vector< TParametersValueType, NOutputDimensions >

using OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, NOutputDimensions >

using ParametersType = typename Superclass::ParametersType

using ParametersValueType = typename Superclass::ParametersValueType

using Pointer = SmartPointer< Self >

using ScalarType = ParametersValueType

using Self = Transform

using Superclass = TransformBaseTemplate< TParametersValueType >

using TransformCategoryType = typename Superclass::TransformCategoryType

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

enum  TransformCategoryType {
UnknownTransformCategory =0,
Linear =1,
BSpline =2,
Spline =3,
DisplacementField =4,
VelocityField =5
}

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

virtual ::itk::LightObject::Pointer CreateAnother () const

virtual const char * GetNameOfClass () const

TransformCategoryType GetTransformCategory () const override

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

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

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, NDimensions >
bool GetInverse (Self *inverse) const

InverseTransformBasePointer GetInverseTransform () const override

ScalarType Metric (const Self *other) const

ScalarType Metric () 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 &offset, bool pre=false)

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

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

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

void ComputeJacobianWithRespectToParameters (const InputPointType &x, JacobianType &j) const override

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

virtual ::itk::LightObject::Pointer CreateAnother () const

const InputPointTypeGetCenter () const

const FixedParametersTypeGetFixedParameters () const override

InverseTransformBasePointer GetInverseTransform () const override

virtual const MatrixTypeGetMatrix () const

const OutputVectorTypeGetOffset () const

const ParametersTypeGetParameters () const override

TransformCategoryType GetTransformCategory () const override

const OutputVectorTypeGetTranslation () const

bool IsLinear () const override

void SetFixedParameters (const FixedParametersType &) override

virtual void SetIdentity ()

void SetParameters (const ParametersType &parameters) override

OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &vector) const override

OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &vector) 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 &tensor) const override

OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const override

OutputVectorType TransformVector (const InputVectorType &vector) const override

OutputVnlVectorType TransformVector (const InputVnlVectorType &vector) const override

OutputVectorPixelType TransformVector (const InputVectorPixelType &vector) 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 (Self *inverse) const

Public Member Functions inherited from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >
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

bool GetInverse (Self *) const

virtual NumberOfParametersType GetNumberOfFixedParameters () const

virtual NumberOfParametersType GetNumberOfLocalParameters () const

NumberOfParametersType GetNumberOfParameters () const override

unsigned int GetOutputSpaceDimension () const override

std::string GetTransformTypeAsString () const override

itkCloneMacro (Self)

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 &tensor, const InputPointType &point) const

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

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

virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, 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 OutputVectorPixelType TransformVector (const InputVectorPixelType &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)

Public Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
virtual void CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end)=0

virtual void CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end)=0

virtual void SetFixedParameters (const FixedParametersType &)=0

virtual void SetParameters (const ParametersType &)=0

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

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

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 noexceptoverride

virtual void SetObjectName (std::string _arg)

virtual const std::string & GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void Delete ()

virtual int GetReferenceCount () const

itkCloneMacro (Self)

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, NDimensions >
static Pointer New ()

Static Public Member Functions inherited from itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >
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 flag)

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

static Pointer New ()

## Static Public Attributes

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

static constexpr unsigned int SpaceDimension = NDimensions

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

static constexpr unsigned int OutputSpaceDimension = NDimensions

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

static constexpr unsigned int SpaceDimension = NDimensions

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

static constexpr unsigned int OutputSpaceDimension

static constexpr unsigned int ParametersDimension

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

static constexpr unsigned int OutputSpaceDimension = NOutputDimensions

## Protected Member Functions

AzimuthElevationToCartesianTransform ()

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

~AzimuthElevationToCartesianTransform () override=default

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

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

AffineTransform (unsigned int paramDims)

AffineTransform ()

Protected Member Functions inherited from itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >
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 &s, 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)

MatrixOffsetTransformBase ()

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

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

Transform ()

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 &time)

~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, NInputDimensions, NOutputDimensions >
DirectionChangeMatrix m_DirectionChange

FixedParametersType m_FixedParameters

ParametersType m_Parameters

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

## Member Typedef Documentation

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

Definition at line 95 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 109 of file itkAzimuthElevationToCartesianTransform.h.

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

Standard coordinate point type for this class

Definition at line 121 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 115 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 114 of file itkAzimuthElevationToCartesianTransform.h.

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

Jacobian type.

Definition at line 113 of file itkAzimuthElevationToCartesianTransform.h.

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

Standard matrix type for this class.

Definition at line 126 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 122 of file itkAzimuthElevationToCartesianTransform.h.

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

Parameters type.

Definition at line 108 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 94 of file itkAzimuthElevationToCartesianTransform.h.

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

Standard scalar type for this class.

Definition at line 118 of file itkAzimuthElevationToCartesianTransform.h.

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

Standard class type aliases.

Definition at line 92 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 93 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 110 of file itkAzimuthElevationToCartesianTransform.h.

## Constructor & Destructor Documentation

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

## Member Function Documentation

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

Back transform from cartesian to azimuth-elevation.

Definition at line 146 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 161 of file itkAzimuthElevationToCartesianTransform.h.

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
 virtual::itk::LightObject::Pointer itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::CreateAnother ( ) const
virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::AffineTransform< TParametersValueType, NDimensions >.

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

Set the number of degrees between each azimuth unit.

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

Set the number of degrees between each elevation unit.

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

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
 virtual long itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::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.

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
 virtual long itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::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 NDimensions = 3>
 virtual const char* itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::AffineTransform< TParametersValueType, NDimensions >.

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

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

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

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

Definition at line 169 of file itkAzimuthElevationToCartesianTransform.h.

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

New macro for creation of through a Smart Pointer.

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

Print contents of an AzimuthElevationTransform.

Reimplemented from itk::AffineTransform< TParametersValueType, NDimensions >.

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

Set the number of degrees between each azimuth unit.

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

Set the transformation parameters.

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
 void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::SetAzimuthElevationToCartesianParameters ( const double sampleSize, const double blanking, const long maxAzimuth, const long maxElevation )
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::SetElevationAngularSeparation ( double _arg )
virtual

Set the number of degrees between each elevation unit.

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

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

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

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

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

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
 virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::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.

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

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

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

Perform conversion from Azimuth Elevation coordinates to Cartesian Coordinates.

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

Perform conversion from Cartesian Coordinates to Azimuth Elevation coordinates.

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

Transform from azimuth-elevation to cartesian.

## Member Data Documentation

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

Definition at line 240 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 241 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 242 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 243 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 237 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 238 of file itkAzimuthElevationToCartesianTransform.h.

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
private

Definition at line 239 of file itkAzimuthElevationToCartesianTransform.h.

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

Definition at line 99 of file itkAzimuthElevationToCartesianTransform.h.

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

Dimension of the domain space.

Definition at line 98 of file itkAzimuthElevationToCartesianTransform.h.

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