#include <itkAzimuthElevationToCartesianTransform.h>

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

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

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	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

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	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

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	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

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

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

virtual const char *	GetNameOfClass () const

TransformCategoryEnum	GetTransformCategory () const override

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

Public Member Functions inherited from itk::AffineTransform< TParametersValueType, NDimensions >
void	Scale (const OutputVectorType &factor, bool pre=false)

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

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

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

void	Rotate2D (TParametersValueType angle, bool pre=false)

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

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

bool	GetInverse (Self *inverse) const

InverseTransformBasePointer	GetInverseTransform () const override

ScalarType	Metric (const Self *other) const

ScalarType	Metric () const

Public Member Functions inherited from itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >
virtual ::itk::LightObject::Pointer	CreateAnother () const

TransformCategoryEnum	GetTransformCategory () const override

virtual void	SetIdentity ()

virtual void	SetMatrix (const MatrixType &matrix)

virtual const MatrixType &	GetMatrix () const

void	SetOffset (const OutputVectorType &offset)

const OutputVectorType &	GetOffset () const

void	SetCenter (const InputPointType &center)

const InputPointType &	GetCenter () const

void	SetTranslation (const OutputVectorType &translation)

const OutputVectorType &	GetTranslation () const

void	SetParameters (const ParametersType &parameters) override

const ParametersType &	GetParameters () const override

void	SetFixedParameters (const FixedParametersType &) override

const FixedParametersType &	GetFixedParameters () const override

void	Compose (const Self *other, bool pre=false)

OutputPointType	TransformPoint (const InputPointType &point) const override

OutputVectorType	TransformVector (const InputVectorType &vect) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &vect) const override

OutputVectorPixelType	TransformVector (const InputVectorPixelType &vect) const 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

OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor) const override

OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor) const override

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

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

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

bool	GetInverse (Self *inverse) const

InverseTransformBasePointer	GetInverseTransform () const override

bool	IsLinear () const override

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

virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

	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

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

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

virtual const TimeStamp &	GetTimeStamp () 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 noexcept override

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

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

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 val)

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

long	m_MaxAzimuth

long	m_MaxElevation

double	m_RadiusSampleSize

double	m_AzimuthAngularSeparation

double	m_ElevationAngularSeparation

double	m_FirstSampleDistance

bool	m_ForwardAzimuthElevationToPhysical

virtual void	SetMaxAzimuth (long _arg)

virtual long	GetMaxAzimuth () const

virtual void	SetMaxElevation (long _arg)

virtual long	GetMaxElevation () const

virtual void	SetRadiusSampleSize (double _arg)

virtual double	GetRadiusSampleSize () 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

	AzimuthElevationToCartesianTransform ()

	~AzimuthElevationToCartesianTransform () override=default

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

Additional Inherited Members
Protected Member Functions inherited from itk::AffineTransform< TParametersValueType, NDimensions >
	AffineTransform (const MatrixType &matrix, const OutputVectorType &offset)

	AffineTransform (unsigned int parametersDimension)

	AffineTransform ()

	~AffineTransform () override=default

Protected Member Functions inherited from itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >
const InverseMatrixType &	GetInverseMatrix () const

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

	MatrixOffsetTransformBase (unsigned int paramDims)

	MatrixOffsetTransformBase ()

	~MatrixOffsetTransformBase () override=default

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

const InverseMatrixType &	GetVarInverseMatrix () const

void	SetVarInverseMatrix (const InverseMatrixType &matrix) const

bool	InverseMatrixIsOld () const

virtual void	ComputeMatrixParameters ()

virtual void	ComputeMatrix ()

void	SetVarMatrix (const MatrixType &matrix)

virtual void	ComputeTranslation ()

void	SetVarTranslation (const OutputVectorType &translation)

virtual void	ComputeOffset ()

void	SetVarOffset (const OutputVectorType &offset)

void	SetVarCenter (const InputPointType &center)

virtual bool	GetSingular () const

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

	Transform ()

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

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

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

	~TransformBaseTemplate () override=default

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

	~Object () override

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

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 ()

Protected Attributes inherited from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >
ParametersType	m_Parameters

FixedParametersType	m_FixedParameters

DirectionChangeMatrix	m_DirectionChange

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

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 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:

All ITK Sphinx Examples

Cartesian To Azimuth Elevation

Examples: SphinxExamples/src/Core/Transform/CartesianToAzimuthElevation/Code.cxx.

Definition at line 88 of file itkAzimuthElevationToCartesianTransform.h.

Member Typedef Documentation

◆ ConstPointer

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::ConstPointer = SmartPointer<const Self>

Definition at line 98 of file itkAzimuthElevationToCartesianTransform.h.

◆ FixedParametersType

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::FixedParametersType = typename Superclass::FixedParametersType

Definition at line 112 of file itkAzimuthElevationToCartesianTransform.h.

◆ InputPointType

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 124 of file itkAzimuthElevationToCartesianTransform.h.

◆ InverseJacobianPositionType

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

Definition at line 118 of file itkAzimuthElevationToCartesianTransform.h.

◆ JacobianPositionType

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::JacobianPositionType = typename Superclass::JacobianPositionType

Definition at line 117 of file itkAzimuthElevationToCartesianTransform.h.

◆ JacobianType

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::JacobianType = typename Superclass::JacobianType

Jacobian type.

Definition at line 116 of file itkAzimuthElevationToCartesianTransform.h.

◆ MatrixType

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 128 of file itkAzimuthElevationToCartesianTransform.h.

◆ OutputPointType

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::OutputPointType = typename Superclass::OutputPointType

Definition at line 125 of file itkAzimuthElevationToCartesianTransform.h.

◆ ParametersType

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::ParametersType = typename Superclass::ParametersType

Parameters type.

Definition at line 111 of file itkAzimuthElevationToCartesianTransform.h.

◆ Pointer

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::Pointer = SmartPointer<Self>

Definition at line 97 of file itkAzimuthElevationToCartesianTransform.h.

◆ ScalarType

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 121 of file itkAzimuthElevationToCartesianTransform.h.

◆ Self

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::Self = AzimuthElevationToCartesianTransform

Standard class type aliases.

Definition at line 95 of file itkAzimuthElevationToCartesianTransform.h.

◆ Superclass

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::Superclass = AffineTransform<TParametersValueType, NDimensions>

Definition at line 96 of file itkAzimuthElevationToCartesianTransform.h.

◆ TransformCategoryEnum

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::TransformCategoryEnum = typename Superclass::TransformCategoryEnum

Definition at line 113 of file itkAzimuthElevationToCartesianTransform.h.

Constructor & Destructor Documentation

◆ AzimuthElevationToCartesianTransform()

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

itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::AzimuthElevationToCartesianTransform ( )

protected

Create an AzimuthElevationToCartesianTransform object.

◆ ~AzimuthElevationToCartesianTransform()

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

itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::~AzimuthElevationToCartesianTransform ( )

overrideprotecteddefault

Destroy an AzimuthElevationToCartesianTransform object.

Member Function Documentation

◆ BackTransform()

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 151 of file itkAzimuthElevationToCartesianTransform.h.

◆ BackTransformPoint()

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

InputPointType itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::BackTransformPoint ( const OutputPointType & point ) const

inline

Definition at line 167 of file itkAzimuthElevationToCartesianTransform.h.

◆ CreateAnother()

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 >.

◆ GetAzimuthAngularSeparation()

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

virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::GetAzimuthAngularSeparation ( ) 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.

◆ GetElevationAngularSeparation()

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

virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::GetElevationAngularSeparation ( ) 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.

◆ GetFirstSampleDistance()

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

virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::GetFirstSampleDistance ( ) 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.

◆ GetMaxAzimuth()

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.

◆ GetMaxElevation()

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

virtual long itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::GetMaxElevation ( ) 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.

◆ GetNameOfClass()

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 >.

◆ GetRadiusSampleSize()

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

virtual double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::GetRadiusSampleSize ( ) 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.

◆ GetTransformCategory()

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

TransformCategoryEnum itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::GetTransformCategory ( ) const

inlineoverridevirtual

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

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 176 of file itkAzimuthElevationToCartesianTransform.h.

◆ New()

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.

◆ PrintSelf()

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

void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

Print contents of an AzimuthElevationTransform.

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

◆ SetAzimuthAngularSeparation()

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.

◆ SetAzimuthElevationToCartesianParameters() [1/2]

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

void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::SetAzimuthElevationToCartesianParameters	(	const double	sampleSize,
		const double	firstSampleDistance,
		const long	maxAzimuth,
		const long	maxElevation
	)

◆ SetAzimuthElevationToCartesianParameters() [2/2]

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

void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::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 NDimensions = 3>

virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::SetElevationAngularSeparation ( double _arg )

virtual

Set the number of degrees between each elevation unit.

◆ SetFirstSampleDistance()

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

virtual void itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::SetFirstSampleDistance ( double _arg )

virtual

Set the distance to add to the radius.

◆ SetForwardAzimuthElevationToCartesian()

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.

◆ SetForwardCartesianToAzimuthElevation()

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.

◆ SetMaxAzimuth()

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.

◆ SetMaxElevation()

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.

◆ SetRadiusSampleSize()

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 .

◆ TransformAzElToCartesian()

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.

◆ TransformCartesianToAzEl()

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.

◆ TransformPoint()

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

◆ m_AzimuthAngularSeparation

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

double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::m_AzimuthAngularSeparation

private

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.

Definition at line 252 of file itkAzimuthElevationToCartesianTransform.h.

◆ m_ElevationAngularSeparation

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

double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::m_ElevationAngularSeparation

private

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.

Definition at line 253 of file itkAzimuthElevationToCartesianTransform.h.

◆ m_FirstSampleDistance

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

double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::m_FirstSampleDistance

private

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.

Definition at line 254 of file itkAzimuthElevationToCartesianTransform.h.

◆ m_ForwardAzimuthElevationToPhysical

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

bool itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::m_ForwardAzimuthElevationToPhysical

private

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.

Definition at line 255 of file itkAzimuthElevationToCartesianTransform.h.

◆ m_MaxAzimuth

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

long itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::m_MaxAzimuth

private

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.

Definition at line 249 of file itkAzimuthElevationToCartesianTransform.h.

◆ m_MaxElevation

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

long itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::m_MaxElevation

private

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.

Definition at line 250 of file itkAzimuthElevationToCartesianTransform.h.

◆ m_RadiusSampleSize

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

double itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::m_RadiusSampleSize

private

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.

Definition at line 251 of file itkAzimuthElevationToCartesianTransform.h.

◆ ParametersDimension

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

constexpr unsigned int itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::ParametersDimension = NDimensions * (NDimensions + 1)

staticconstexpr

Definition at line 102 of file itkAzimuthElevationToCartesianTransform.h.

◆ SpaceDimension

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

constexpr unsigned int itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >::SpaceDimension = NDimensions

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:

itkAzimuthElevationToCartesianTransform.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

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

Member Typedef Documentation

◆ ConstPointer

◆ FixedParametersType

◆ InputPointType

◆ InverseJacobianPositionType

◆ JacobianPositionType

◆ JacobianType

◆ MatrixType

◆ OutputPointType

◆ ParametersType

◆ Pointer

◆ ScalarType

◆ Self

◆ Superclass

◆ TransformCategoryEnum

Constructor & Destructor Documentation

◆ AzimuthElevationToCartesianTransform()

◆ ~AzimuthElevationToCartesianTransform()

Member Function Documentation

◆ BackTransform()

◆ BackTransformPoint()

◆ CreateAnother()

◆ GetAzimuthAngularSeparation()

◆ GetElevationAngularSeparation()

◆ GetFirstSampleDistance()

◆ GetMaxAzimuth()

◆ GetMaxElevation()

◆ GetNameOfClass()

◆ GetRadiusSampleSize()

◆ GetTransformCategory()

◆ New()

◆ PrintSelf()

◆ SetAzimuthAngularSeparation()

◆ SetAzimuthElevationToCartesianParameters() [1/2]

◆ SetAzimuthElevationToCartesianParameters() [2/2]

◆ SetElevationAngularSeparation()

◆ SetFirstSampleDistance()

◆ SetForwardAzimuthElevationToCartesian()

◆ SetForwardCartesianToAzimuthElevation()

◆ SetMaxAzimuth()

◆ SetMaxElevation()

◆ SetRadiusSampleSize()

◆ TransformAzElToCartesian()

◆ TransformCartesianToAzEl()

◆ TransformPoint()

Member Data Documentation

◆ m_AzimuthAngularSeparation

◆ m_ElevationAngularSeparation

◆ m_FirstSampleDistance

◆ m_ForwardAzimuthElevationToPhysical

◆ m_MaxAzimuth

◆ m_MaxElevation

◆ m_RadiusSampleSize

◆ ParametersDimension

◆ SpaceDimension

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