#include <itkParametricPath.h>

Detailed Description

template<unsigned int VDimension>
class itk::ParametricPath< VDimension >

Represent a parametric path through ND Space.

This virtual class is intended to represent a parametric path through an image. A parametric path maps a single floating-point 1D parameter (usually designated as either time or arc-length) to a floating-point ND point in continuous image index space. This mapping is done via the abstract Evaluate() method, which must be overridden in all instantiable subclasses. Parametric paths are required to be continuous. They may be open or form a closed loop. A parametric path may cross itself several times, although the end point is constrained to have a unique spatial location unless it is shared with and only with the starting point (a path tracing the number "9," starting at the bottom and ending in the middle of the right side, would therefore be illegal). Classic applications of this class include the representation of contours in 2D images and path smoothing. Another use of a path is to guide the movement of an iterator through an image.

See also: EllipseParametricPath; PolyLineParametricPath; FourierSeriesPath; OrthogonallyCorrectedParametricPath; ChainCodePath; Path; ContinuousIndex; Index; Offset; Vector

Definition at line 62 of file itkParametricPath.h.

Inheritance diagram for itk::ParametricPath< VDimension >:

Collaboration diagram for itk::ParametricPath< VDimension >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	ContinuousIndexType = ContinuousIndex< SpacePrecisionType, VDimension >

using	IndexType = Index< VDimension >

using	OffsetType = Offset< VDimension >

using	Pointer = SmartPointer< Self >

using	Self = ParametricPath

using	Superclass = Path< double, ContinuousIndexType, VDimension >

using	VectorType = Vector< double, VDimension >

Public Types inherited from itk::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >
using	ConstPointer = SmartPointer< const Self >

using	IndexType = Index< VDimension >

using	InputType = double

using	OffsetType = Offset< VDimension >

using	OutputType = ContinuousIndex< SpacePrecisionType, VDimension >

using	Pointer = SmartPointer< Self >

using	Self = Path

using	Superclass = DataObject

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

using	DataObjectIdentifierType = std::string

using	DataObjectPointerArraySizeType = std::vector< Pointer >::size_type

using	Pointer = SmartPointer< Self >

using	Self = DataObject

using	Superclass = Object

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
virtual VectorType	EvaluateDerivative (const InputType &input) const

IndexType	EvaluateToIndex (const InputType &input) const override

virtual const InputType &	GetDefaultInputStepSize () const

const char *	GetNameOfClass () const override

OffsetType	IncrementInput (InputType &input) const override

virtual void	SetDefaultInputStepSize (InputType _arg)

Public Member Functions inherited from itk::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >
virtual InputType	EndOfInput () const

virtual OutputType	Evaluate (const InputType &input) const=0

const char *	GetNameOfClass () const override

virtual InputType	StartOfInput () const

Public Member Functions inherited from itk::DataObject
virtual void	CopyInformation (const DataObject *)

virtual void	DataHasBeenGenerated ()

void	DisconnectPipeline ()

bool	GetDataReleased () const

virtual const bool &	GetReleaseDataFlag () const

SmartPointer< ProcessObject >	GetSource () const

DataObjectPointerArraySizeType	GetSourceOutputIndex () const

const DataObjectIdentifierType &	GetSourceOutputName () const

virtual ModifiedTimeType	GetUpdateMTime () const

virtual void	Graft (const DataObject *)

virtual void	Initialize ()

virtual void	PrepareForNewData ()

virtual void	PropagateRequestedRegion ()

void	ReleaseData ()

virtual void	ReleaseDataFlagOn ()

virtual bool	RequestedRegionIsOutsideOfTheBufferedRegion ()

virtual void	ResetPipeline ()

void	SetReleaseDataFlag (bool flag)

virtual void	SetRequestedRegion (const DataObject *)

virtual void	SetRequestedRegionToLargestPossibleRegion ()

bool	ShouldIReleaseData () const

virtual void	Update ()

virtual void	UpdateOutputData ()

virtual void	UpdateOutputInformation ()

void	UpdateSource () const

virtual bool	VerifyRequestedRegion ()

void	SetPipelineMTime (ModifiedTimeType time)

virtual const ModifiedTimeType &	GetPipelineMTime () const

virtual void	SetRealTimeStamp (RealTimeStamp _arg)

virtual const RealTimeStamp &	GetRealTimeStamp () const

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

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

LightObject::Pointer	CreateAnother () const override

virtual void	DebugOff () const

virtual void	DebugOn () const

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) const

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

Protected Member Functions
	ParametricPath ()

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

	~ParametricPath () override=default

Protected Member Functions inherited from itk::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >
virtual IndexType	GetZeroIndex () const

virtual OffsetType	GetZeroOffset () const

	Path ()

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

	~Path () override=default

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

virtual void	PropagateResetPipeline ()

	~DataObject () override

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

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

	~Object () override

Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

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

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

virtual	~LightObject ()

Protected Attributes

InputType	m_DefaultInputStepSize {}

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

Additional Inherited Members
Static Public Member Functions inherited from itk::DataObject
static bool	GetGlobalReleaseDataFlag ()

static void	GlobalReleaseDataFlagOff ()

static void	GlobalReleaseDataFlagOn ()

static Pointer	New ()

static void	SetGlobalReleaseDataFlag (bool val)

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 inherited from itk::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >
static constexpr unsigned int	PathDimension

Member Typedef Documentation

◆ ConstPointer

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::ConstPointer = SmartPointer<const Self>

Definition at line 76 of file itkParametricPath.h.

◆ ContinuousIndexType

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::ContinuousIndexType = ContinuousIndex<SpacePrecisionType, VDimension>

All paths must be mappable to index space

Definition at line 72 of file itkParametricPath.h.

◆ IndexType

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::IndexType = Index<VDimension>

Definition at line 87 of file itkParametricPath.h.

◆ OffsetType

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::OffsetType = Offset<VDimension>

Definition at line 88 of file itkParametricPath.h.

◆ Pointer

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::Pointer = SmartPointer<Self>

Definition at line 75 of file itkParametricPath.h.

◆ Self

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::Self = ParametricPath

Standard class type aliases.

Definition at line 69 of file itkParametricPath.h.

◆ Superclass

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::Superclass = Path<double, ContinuousIndexType, VDimension>

Definition at line 73 of file itkParametricPath.h.

◆ VectorType

template<unsigned int VDimension>

using itk::ParametricPath< VDimension >::VectorType = Vector<double, VDimension>

Definition at line 89 of file itkParametricPath.h.

Constructor & Destructor Documentation

◆ ParametricPath()

template<unsigned int VDimension>

itk::ParametricPath< VDimension >::ParametricPath ( )

protected

◆ ~ParametricPath()

template<unsigned int VDimension>

itk::ParametricPath< VDimension >::~ParametricPath ( )

overrideprotecteddefault

Member Function Documentation

◆ EvaluateDerivative()

template<unsigned int VDimension>

virtual VectorType itk::ParametricPath< VDimension >::EvaluateDerivative ( const InputType & input ) const

virtual

Evaluate the first derivative of the ND output with respect to the 1D input. This is a very simple and naive numerical derivative, and it should be overloaded with a proper closed-form derivative function in all children. Nevertheless, users who need to create their own parametric classes for their private research need not reimplement this function if their work does not need the derivative operator.

Reimplemented in itk::PolyLineParametricPath< VDimension >, and itk::FourierSeriesPath< VDimension >.

◆ EvaluateToIndex()

template<unsigned int VDimension>

IndexType itk::ParametricPath< VDimension >::EvaluateToIndex ( const InputType & input ) const

overridevirtual

Return the nearest index to the parametric path at the specified location. This is a wrapper to Evaluate().

Implements itk::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >.

◆ GetDefaultInputStepSize()

template<unsigned int VDimension>

virtual const InputType& itk::ParametricPath< VDimension >::GetDefaultInputStepSize ( ) const

virtual

◆ GetNameOfClass()

template<unsigned int VDimension>

const char* itk::ParametricPath< VDimension >::GetNameOfClass ( ) const

overridevirtual

See also: LightObject::GetNameOfClass()

Reimplemented from itk::DataObject.

Reimplemented in itk::PolyLineParametricPath< VDimension >.

◆ IncrementInput()

template<unsigned int VDimension>

OffsetType itk::ParametricPath< VDimension >::IncrementInput ( InputType & input ) const

overridevirtual

Increment the input variable passed by reference such that the ND index of the path moves to its next vertex-connected (8-connected in 2D) neighbor. Return the Index-space offset of the path from its prior input to its new input. If the path is unable to increment, input is not changed and an offset of Zero is returned. Children are not required to implement bounds checking.

This is a fairly slow, iterative algorithm that numerically converges to the next index along the path, in a vertex-connected (8-connected in 2D) fashion. When possible, children of this class should overload this function with something more efficient.

WARNING: This default implementation REQUIRES that the ND endpoint of the path be either unique or coincident only with the startpoint, since it uses the endpoint as a stopping condition.

Implements itk::Path< double, ContinuousIndex< SpacePrecisionType, VDimension >, VDimension >.

Reimplemented in itk::PolyLineParametricPath< VDimension >.

◆ PrintSelf()

template<unsigned int VDimension>

void itk::ParametricPath< VDimension >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::DataObject.

Reimplemented in itk::PolyLineParametricPath< VDimension >.

◆ SetDefaultInputStepSize()

template<unsigned int VDimension>

virtual void itk::ParametricPath< VDimension >::SetDefaultInputStepSize ( InputType _arg )

virtual

Member Data Documentation

◆ m_DefaultInputStepSize

template<unsigned int VDimension>

InputType itk::ParametricPath< VDimension >::m_DefaultInputStepSize {}

protected

Default 1D input increment amount to trace along the path. Also, the value used by the default implementation of EvaluateDerivative() for numerically approximating the derivative with the change over a single default-sized step. (NOTE that the default implementation of EvaluateDerivative() should never be used in practice, but users or lazy developers may nevertheless unwisely choose to do so anyway.) For integer- input-types, 1 is probably the correct value. For double-input-types, either 1 or 0.1 are probably good values. This value should be set in the constructor of all instantiable children. Values set in child constructors overwrite values set in parent constructors.

Definition at line 142 of file itkParametricPath.h.

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

itkParametricPath.h

Detailed Description

template<unsigned int VDimension> class itk::ParametricPath< VDimension >

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ ContinuousIndexType

◆ IndexType

◆ OffsetType

◆ Pointer

◆ Self

◆ Superclass

◆ VectorType

Constructor & Destructor Documentation

◆ ParametricPath()

◆ ~ParametricPath()

Member Function Documentation

◆ EvaluateDerivative()

◆ EvaluateToIndex()

◆ GetDefaultInputStepSize()

◆ GetNameOfClass()

◆ IncrementInput()

◆ PrintSelf()

◆ SetDefaultInputStepSize()

Member Data Documentation

◆ m_DefaultInputStepSize

template<unsigned int VDimension>
class itk::ParametricPath< VDimension >