#include <itkAzimuthElevationToCartesianTransform.h>

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

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

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::InputPointType	InputPointType
typedef Superclass::JacobianType	JacobianType
typedef Matrix< TScalarType, itkGetStaticConstMacro(SpaceDimension), itkGetStaticConstMacro(SpaceDimension) >	MatrixType
typedef Superclass::OutputPointType	OutputPointType
typedef Superclass::ParametersType	ParametersType
typedef SmartPointer< Self >	Pointer
typedef Superclass::ScalarType	ScalarType
typedef AzimuthElevationToCartesianTransform	Self
typedef AffineTransform < TScalarType, NDimensions >	Superclass
Public Types inherited from itk::AffineTransform< TScalarType, NDimensions >
typedef Superclass::CenterType	CenterType
typedef Superclass::InputCovariantVectorType	InputCovariantVectorType
typedef Superclass::InputVectorType	InputVectorType
typedef Superclass::InputVnlVectorType	InputVnlVectorType
typedef Superclass::InverseMatrixType	InverseMatrixType
typedef InverseTransformBaseType::Pointer	InverseTransformBasePointer
typedef Superclass::InverseTransformBaseType	InverseTransformBaseType
typedef Superclass::OffsetType	OffsetType
typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType
typedef Superclass::OutputVectorType	OutputVectorType
typedef Superclass::OutputVnlVectorType	OutputVnlVectorType
typedef Superclass::TranslationType	TranslationType
Public Types inherited from itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >
typedef Superclass::InputDiffusionTensor3DType	InputDiffusionTensor3DType
typedef Superclass::InputSymmetricSecondRankTensorType	InputSymmetricSecondRankTensorType
typedef CovariantVector < TScalarType, InputDiffusionTensor3DType::Dimension >	InputTensorEigenVectorType
typedef Superclass::InputVectorPixelType	InputVectorPixelType
typedef OffsetType::ValueType	OffsetValueType
typedef Superclass::OutputDiffusionTensor3DType	OutputDiffusionTensor3DType
typedef Superclass::OutputSymmetricSecondRankTensorType	OutputSymmetricSecondRankTensorType
typedef Superclass::OutputVectorPixelType	OutputVectorPixelType
typedef Superclass::ParametersValueType	ParametersValueType
typedef TranslationType::ValueType	TranslationValueType
typedef OutputVectorType::ValueType	OutputVectorValueType
typedef InputPointType::ValueType	InputPointValueType
typedef OutputPointType::ValueType	OutputPointValueType
typedef MatrixType::ValueType	MatrixValueType
Public Types inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >
typedef Array < ParametersValueType >	DerivativeType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	DirectionChangeMatrix
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	InputDirectionMatrix
typedef Superclass::NumberOfParametersType	NumberOfParametersType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	OutputDirectionMatrix
Public Types inherited from itk::TransformBase
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
InputPointType	BackTransform (const OutputPointType &point) const
InputPointType	BackTransformPoint (const OutputPointType &point) const
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual const char *	GetNameOfClass () const
virtual void	SetAzimuthAngularSeparation (double _arg)
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)
virtual void	SetElevationAngularSeparation (double _arg)
virtual void	SetFirstSampleDistance (double _arg)
void	SetForwardAzimuthElevationToCartesian ()
void	SetForwardCartesianToAzimuthElevation ()
virtual void	SetMaxAzimuth (long _arg)
virtual void	SetMaxElevation (long _arg)
virtual void	SetRadiusSampleSize (double _arg)
OutputPointType	TransformAzElToCartesian (const InputPointType &point) const
OutputPointType	TransformCartesianToAzEl (const OutputPointType &point) const
OutputPointType	TransformPoint (const InputPointType &point) const
Public Member Functions inherited from itk::AffineTransform< TScalarType, NDimensions >
bool	GetInverse (Self *inverse) const
virtual InverseTransformBasePointer	GetInverseTransform () const
	itkLegacyMacro (InputPointType BackTransformPoint(const OutputPointType &point) const)
ScalarType	Metric (const Self *other) const
ScalarType	Metric (void) const
void	Rotate2D (TScalarType angle, bool pre=0)
void	Rotate3D (const OutputVectorType &axis, TScalarType angle, bool pre=0)
void	Scale (const OutputVectorType &factor, bool pre=0)
void	Scale (const TScalarType &factor, bool pre=0)
void	Shear (int axis1, int axis2, TScalarType coef, bool pre=0)
void	Translate (const OutputVectorType &offset, bool pre=0)
void	Rotate (int axis1, int axis2, TScalarType angle, bool pre=0)
	itkLegacyMacro (InputPointType BackTransform(const OutputPointType &point) const)
	itkLegacyMacro (InputVectorType BackTransform(const OutputVectorType &vector) const)
	itkLegacyMacro (InputVnlVectorType BackTransform(const OutputVnlVectorType &vector) const)
	itkLegacyMacro (InputCovariantVectorType BackTransform(const OutputCovariantVectorType &vector) const)
Public Member Functions inherited from itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >
void	Compose (const Self *other, bool pre=0)
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jac) const
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &x, JacobianType &j) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jac) const
const InputPointType &	GetCenter () const
virtual const ParametersType &	GetFixedParameters (void) const
virtual const MatrixType &	GetMatrix () const
const OutputVectorType &	GetOffset (void) const
const ParametersType &	GetParameters (void) const
const OutputVectorType &	GetTranslation (void) const
virtual bool	IsLinear () const
virtual void	SetFixedParameters (const ParametersType &)
virtual void	SetIdentity (void)
void	SetParameters (const ParametersType &parameters)
OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector) const
OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector) const
OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const
OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const
OutputPointType	TransformPoint (const InputPointType &point) const
OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const
OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const
OutputVectorType	TransformVector (const InputVectorType &vector) const
OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector) const
OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector) const
virtual void	SetMatrix (const MatrixType &matrix)
void	SetOffset (const OutputVectorType &offset)
void	SetCenter (const InputPointType &center)
void	SetTranslation (const OutputVectorType &translation)
Public Member Functions inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >
unsigned int	GetInputSpaceDimension (void) const
virtual NumberOfParametersType	GetNumberOfLocalParameters (void) const
virtual NumberOfParametersType	GetNumberOfParameters (void) const
unsigned int	GetOutputSpaceDimension (void) const
virtual std::string	GetTransformTypeAsString () const
virtual bool	HasLocalSupport () const
	itkCloneMacro (Self)
virtual void	SetParametersByValue (const ParametersType &p)
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, TScalarType factor=1.0)
Public Member Functions inherited from itk::TransformBase
virtual void	SetFixedParameters (const ParametersType &)=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
Command *	GetCommand (unsigned long tag)
bool	GetDebug () const
MetaDataDictionary &	GetMetaDataDictionary (void)
const MetaDataDictionary &	GetMetaDataDictionary (void) const
virtual unsigned long	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
virtual void	Register () const
void	RemoveAllObservers ()
void	RemoveObserver (unsigned long tag)
void	SetDebug (bool debugFlag) const
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void	SetReferenceCount (int)
virtual void	UnRegister () const
Public Member Functions inherited from itk::LightObject
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 Attributes

static const unsigned int	SpaceDimension = NDimensions
static const unsigned int	ParametersDimension = NDimensions * ( NDimensions + 1 )
Static Public Attributes inherited from itk::AffineTransform< TScalarType, NDimensions >
static const unsigned int	InputSpaceDimension = NDimensions
static const unsigned int	OutputSpaceDimension = NDimensions
Static Public Attributes inherited from itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >
Static Public Attributes inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >

Protected Member Functions
	AzimuthElevationToCartesianTransform ()
void	PrintSelf (std::ostream &s, Indent indent) const
virtual	~AzimuthElevationToCartesianTransform ()
Protected Member Functions inherited from itk::AffineTransform< TScalarType, NDimensions >
virtual	~AffineTransform ()
	AffineTransform (const MatrixType &matrix, const OutputVectorType &offset)
	AffineTransform (unsigned int paramDims)
	AffineTransform ()
Protected Member Functions inherited from itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >
virtual void	ComputeMatrix (void)
virtual void	ComputeMatrixParameters (void)
virtual void	ComputeOffset (void)
virtual void	ComputeTranslation (void)
const InverseMatrixType &	GetInverseMatrix (void) const
const InverseMatrixType &	GetVarInverseMatrix (void) const
bool	InverseMatrixIsOld (void) const
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)
virtual	~MatrixOffsetTransformBase ()
	MatrixOffsetTransformBase (const MatrixType &matrix, const OutputVectorType &offset)
	MatrixOffsetTransformBase (unsigned int paramDims)
	MatrixOffsetTransformBase ()
Protected Member Functions inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >
virtual LightObject::Pointer	InternalClone () const
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
	Transform ()
	Transform (NumberOfParametersType NumberOfParameters)
virtual	~Transform ()
Protected Member Functions inherited from itk::TransformBase
	TransformBase ()
virtual	~TransformBase ()
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
virtual void	SetTimeStamp (const TimeStamp &time)
virtual	~Object ()
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 Member Functions
	AzimuthElevationToCartesianTransform (const Self &)
void	operator= (const Self &)

Private Attributes
double	m_AzimuthAngularSeparation
double	m_ElevationAngularSeparation
double	m_FirstSampleDistance
bool	m_ForwardAzimuthElevationToPhysical
long	m_MaxAzimuth
long	m_MaxElevation
double	m_RadiusSampleSize

Detailed Description

template<class TScalarType = float, unsigned int NDimensions = 3>
class itk::AzimuthElevationToCartesianTransform< TScalarType, 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 = vcl_sqrt((r^2*(cos(azimuth))^2)/(1 + (cos(azimuth))^2 * (tan(elevation))^2); x = z * vcl_tan(azimuth) y = z * vcl_tan(elevation)

The reversed transforms are: azimuth = arctan(x/y) elevation = arctan(y/z) r = vcl_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:

ScalarT 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.

Wiki Examples:

All Examples

Cartesian to AzimuthElevation and vice-versa

Definition at line 82 of file itkAzimuthElevationToCartesianTransform.h.