#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:

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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	InputPointType = Point< TParametersValueType, Self::InputSpaceDimension >

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

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

using	Pointer = SmartPointer< Self >

using	Self = AzimuthElevationToCartesianTransform

using	Superclass = AffineTransform< TParametersValueType, VDimension >

Public Types inherited from itk::AffineTransform< double, 3 >
using	CenterType = InputPointType

using	ConstPointer = SmartPointer< const Self >

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

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

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

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

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

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

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

using	OffsetType = OutputVectorType

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

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

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

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

using	Pointer = SmartPointer< Self >

using	Self = AffineTransform

using	Superclass = MatrixOffsetTransformBase< double, VDimension, VDimension >

using	TranslationType = OutputVectorType

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

using	ConstPointer = SmartPointer< const Self >

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

using	InputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	InputPointValueType = typename InputPointType::ValueType

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VInputDimension >

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

using	InputVectorPixelType = VariableLengthVector< double >

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

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

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

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

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using	InverseTransformType = MatrixOffsetTransformBase< double, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	MatrixValueType = typename MatrixType::ValueType

using	OffsetType = OutputVectorType

using	OffsetValueType = typename OffsetType::ValueType

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

using	OutputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	OutputPointValueType = typename OutputPointType::ValueType

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< double >

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

using	OutputVectorValueType = typename OutputVectorType::ValueType

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

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = MatrixOffsetTransformBase

using	Superclass = Transform< double, VInputDimension, VOutputDimension >

using	TranslationType = OutputVectorType

using	TranslationValueType = typename TranslationType::ValueType

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

using	DerivativeType = Array< ParametersValueType >

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

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	InputCovariantVectorType = CovariantVector< double, VInputDimension >

using	InputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	InputPointType = Point< double, VInputDimension >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VInputDimension >

using	InputVectorPixelType = VariableLengthVector< double >

using	InputVectorType = Vector< double, VInputDimension >

using	InputVnlVectorType = vnl_vector_fixed< double, VInputDimension >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< double, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	NumberOfParametersType = IdentifierType

using	OutputCovariantVectorType = CovariantVector< double, VOutputDimension >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	OutputPointType = Point< double, VOutputDimension >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< double >

using	OutputVectorType = Vector< double, VOutputDimension >

using	OutputVnlVectorType = vnl_vector_fixed< double, VOutputDimension >

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = double

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< double >

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

Public Types inherited from TransformBaseTemplate< double >
using	ConstPointer = SmartPointer< const Self >

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	NumberOfParametersType = IdentifierType

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = double

using	Pointer = SmartPointer< Self >

using	Self = TransformBaseTemplate

using	Superclass = Object

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

using	TransformCategoryType = TransformCategoryEnum

Public Member Functions
InputPointType	BackTransform (const OutputPointType &point) const

InputPointType	BackTransformPoint (const OutputPointType &point) const

const char *	GetNameOfClass () const override

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


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

Public Member Functions inherited from itk::AffineTransform< double, 3 >
bool	GetInverse (Self *inverse) const

InverseTransformBasePointer	GetInverseTransform () const override

	ITK_DISALLOW_COPY_AND_MOVE (AffineTransform)

	itkNewMacro (Self)

	itkOverrideGetNameOfClassMacro (AffineTransform)

ScalarType	Metric () const

ScalarType	Metric (const Self *other) const

void	Rotate2D (double angle, bool pre=false)

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

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

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

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

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

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

Public Member Functions inherited from itk::MatrixOffsetTransformBase< double, 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

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const

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

const InputPointType &	GetCenter () const

const FixedParametersType &	GetFixedParameters () const override

InverseTransformBasePointer	GetInverseTransform () const override

virtual const MatrixType &	GetMatrix () const

const char *	GetNameOfClass () const override

const OutputVectorType &	GetOffset () const

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

const OutputVectorType &	GetTranslation () const

bool	IsLinear () const override

void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetIdentity ()

void	SetParameters (const ParametersType &parameters) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vec) const override

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

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vect) const override

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

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

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

OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const override

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

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

OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const override

OutputPointType	TransformPoint (const InputPointType &point) const override

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor) const override

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor) const override

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

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

OutputVectorPixelType	TransformVector (const InputVectorPixelType &vect) const override

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

virtual OutputVectorType	TransformVector (const InputVectorType &) const

OutputVectorType	TransformVector (const InputVectorType &vect) const override

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

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

OutputVnlVectorType	TransformVector (const InputVnlVectorType &vect) const override

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

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< double, 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

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

void	SetFixedParameters (const FixedParametersType &) override=0

void	SetParameters (const ParametersType &) override=0

void	SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

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

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

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

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

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

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

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

virtual OutputPointType	TransformPoint (const InputPointType &) const=0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

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

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

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

virtual OutputVectorType	TransformVector (const InputVectorType &) const

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

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

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

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

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const=0

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const

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

Public Member Functions inherited from TransformBaseTemplate< double >
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 const FixedParametersType &	GetFixedParameters () const=0

virtual unsigned int	GetInputSpaceDimension () const=0

virtual NumberOfParametersType	GetNumberOfParameters () const=0

virtual unsigned int	GetOutputSpaceDimension () const=0

virtual const ParametersType &	GetParameters () const=0

virtual TransformCategoryEnum	GetTransformCategory () const=0

virtual std::string	GetTransformTypeAsString () const=0

	ITK_DISALLOW_COPY_AND_MOVE (TransformBaseTemplate)

	itkGetConstReferenceMacro (InputSpaceName, std::string)

	itkGetConstReferenceMacro (OutputSpaceName, std::string)

	itkOverrideGetNameOfClassMacro (TransformBaseTemplate)

	itkSetMacro (InputSpaceName, std::string)

	itkSetMacro (OutputSpaceName, std::string)

virtual void	SetFixedParameters (const FixedParametersType &)=0

virtual void	SetParameters (const ParametersType &)=0

virtual void	SetParametersByValue (const ParametersType &p)=0

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::MatrixOffsetTransformBase< double, VDimension, VDimension >
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< double, 3 >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

static constexpr unsigned int	ParametersDimension

static constexpr unsigned int	SpaceDimension

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

static constexpr unsigned int	OutputSpaceDimension

static constexpr unsigned int	ParametersDimension

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

static constexpr unsigned int	OutputSpaceDimension

Static Public Attributes inherited from TransformBaseTemplate< double >
static constexpr TransformCategoryEnum	BSpline

static constexpr TransformCategoryEnum	DisplacementField

static constexpr TransformCategoryEnum	Linear

static constexpr TransformCategoryEnum	Spline

static constexpr TransformCategoryEnum	UnknownTransformCategory

static constexpr TransformCategoryEnum	VelocityField

Protected Member Functions
	AzimuthElevationToCartesianTransform ()

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

	~AzimuthElevationToCartesianTransform () override=default

Protected Member Functions inherited from itk::AffineTransform< double, 3 >
	~AffineTransform () override=default

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

	AffineTransform (unsigned int parametersDimension)

	AffineTransform ()

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

virtual void	ComputeMatrixParameters ()

virtual void	ComputeOffset ()

virtual void	ComputeTranslation ()

const InverseMatrixType &	GetInverseMatrix () const

virtual bool	GetSingular () const

const InverseMatrixType &	GetVarInverseMatrix () 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 (unsigned int paramDims=ParametersDimension)

Protected Member Functions inherited from itk::Transform< double, 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 TransformBaseTemplate< double >
	TransformBaseTemplate ()=default

	~TransformBaseTemplate () override=default

Private Attributes
double	m_AzimuthAngularSeparation {}

double	m_ElevationAngularSeparation {}

double	m_FirstSampleDistance {}

bool	m_ForwardAzimuthElevationToPhysical {}

long	m_MaxAzimuth {}

long	m_MaxElevation {}

double	m_RadiusSampleSize {}

Additional Inherited Members
Public Attributes inherited from itk::Transform< double, VInputDimension, VOutputDimension >
InverseJacobianPositionType &jacobian	const

Static Protected Member Functions inherited from itk::Transform< double, VInputDimension, VOutputDimension >
static InverseTransformBasePointer	InvertTransform (const TTransform &transform)

Protected Attributes inherited from itk::Transform< double, VInputDimension, VOutputDimension >
FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

Member Typedef Documentation

◆ ConstPointer

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

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

Definition at line 98 of file itkAzimuthElevationToCartesianTransform.h.

◆ InputPointType

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

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::InputPointType = Point<TParametersValueType, Self::InputSpaceDimension>

Standard coordinate point type for this class

Definition at line 133 of file itkMatrixOffsetTransformBase.h.

◆ MatrixType

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

using itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::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 VDimension = 3>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OutputPointType = Point<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 134 of file itkMatrixOffsetTransformBase.h.

◆ Pointer

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

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

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<TParametersValueType, VDimension>

Definition at line 96 of file itkAzimuthElevationToCartesianTransform.h.

Constructor & Destructor Documentation

◆ AzimuthElevationToCartesianTransform()

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

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

protected

Create an AzimuthElevationToCartesianTransform object.

◆ ~AzimuthElevationToCartesianTransform()

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

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

overrideprotecteddefault

Destroy an AzimuthElevationToCartesianTransform object.

Member Function Documentation

◆ 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

Set the distance to add to the radius.

◆ 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.

◆ GetNameOfClass()

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

const char * itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >::GetNameOfClass ( ) const

override

See also: LightObject::GetNameOfClass()

◆ GetRadiusSampleSize()

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

Implements TransformBaseTemplate< double >.

Definition at line 176 of file itkAzimuthElevationToCartesianTransform.h.

◆ 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

overrideprotected

Print contents of an AzimuthElevationTransform.

◆ 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

Set the distance to add to the radius.

◆ 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.

◆ SetRadiusSampleSize()

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

override

Transform from azimuth-elevation to cartesian.

Member Data Documentation

◆ 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.

◆ m_RadiusSampleSize

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:

itkAzimuthElevationToCartesianTransform.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ InputPointType

◆ MatrixType

◆ OutputPointType

◆ Pointer

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ AzimuthElevationToCartesianTransform()

◆ ~AzimuthElevationToCartesianTransform()

Member Function Documentation

◆ BackTransform()

◆ BackTransformPoint()

◆ 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