#include <itkGaussianSpatialObject.h>

Detailed Description

template<unsigned int TDimension = 3>
class itk::GaussianSpatialObject< TDimension >

Represents a multivariate Gaussian function.

The Gaussian function G(x) is given by

\[ G(\vec{x}) = m e^{-\|\S^{-1} \vec{x}\|^2 / 2}, \]

where m is a scaling factor set by SetMaximum(), and $\S$ is the (invertible) matrix associated to the IndexToObjectTransform of the object multiplied by the Sigma parameter. If $\S$ is symmetric and positive definite, and m is chosen so that the integral of G(x) is 1, then G will denote a normal distribution with mean 0 and covariance matrix $\S \times Sigma$.

Examples: Examples/Filtering/SpatialObjectToImage2.cxx, and Examples/SpatialObjects/GaussianSpatialObject.cxx.

Definition at line 44 of file itkGaussianSpatialObject.h.

Inheritance diagram for itk::GaussianSpatialObject< TDimension >:

Collaboration diagram for itk::GaussianSpatialObject< TDimension >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	ScalarType = double

using	Self = GaussianSpatialObject

using	Superclass = SpatialObject< TDimension >

using	SuperclassPointer = SmartPointer< Superclass >

Public Types inherited from itk::SpatialObject< TDimension >
using	BoundingBoxPointer = typename BoundingBoxType::Pointer

using	BoundingBoxType = BoundingBox< IdentifierType, VDimension, ScalarType, VectorContainerType >

using	ChildrenConstListPointer = ChildrenConstListType *

using	ChildrenConstListType = std::list< ConstPointer >

using	ChildrenListPointer = ChildrenListType *

using	ChildrenListType = std::list< Pointer >

using	ConstPointer = SmartPointer< const Self >

using	CovariantVectorType = CovariantVector< ScalarType, VDimension >

using	DerivativeOffsetType = Vector< double, VDimension >

using	DerivativeVectorPointer = DerivativeVectorType *

using	DerivativeVectorType = CovariantVector< ScalarType, VDimension >

using	IndexType = Index< VDimension >

using	InputType = Point< ScalarType, VDimension >

using	ObjectConstListType = std::list< ConstPointer >

using	ObjectDimensionType = unsigned int

using	ObjectListType = std::list< Pointer >

using	Pointer = SmartPointer< Self >

using	PointPointer = PointType *

using	PointType = Point< ScalarType, VDimension >

using	PropertyType = SpatialObjectProperty

using	RegionType = ImageRegion< VDimension >

using	ScalarType = double

using	Self = SpatialObject< VDimension >

using	SizeType = Size< VDimension >

using	Superclass = DataObject

using	TransformConstPointer = const TransformType *

using	TransformPointer = typename TransformType::Pointer

using	TransformType = AffineTransform< ScalarType, VDimension >

using	VectorContainerType = VectorContainer< PointType >

using	VectorPointer = VectorType *

using	VectorType = Vector< ScalarType, VDimension >

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
void	Clear () override

virtual const PointType &	GetCenterInObjectSpace () const

EllipseSpatialObject< TDimension >::Pointer	GetEllipsoid () const

const char *	GetNameOfClass () const override

bool	IsInsideInObjectSpace (const PointType &point) const override

virtual void	SetCenterInObjectSpace (PointType _arg)

ScalarType	SquaredZScoreInObjectSpace (const PointType &point) const

ScalarType	SquaredZScoreInWorldSpace (const PointType &point) const

bool	ValueAtInObjectSpace (const PointType &point, double &value, unsigned int depth=0, const std::string &name="") const override


virtual void	SetRadiusInObjectSpace (ScalarType _arg)

virtual const ScalarType &	GetRadiusInObjectSpace () const


virtual void	SetSigmaInObjectSpace (ScalarType _arg)

virtual const ScalarType &	GetSigmaInObjectSpace () const


virtual void	SetMaximum (ScalarType _arg)

virtual const ScalarType &	GetMaximum () const

Public Member Functions inherited from itk::SpatialObject< TDimension >
void	AddChild (Self *pointer)

virtual void	AddChildrenToConstList (ChildrenConstListType *childrenList, unsigned int depth=0, const std::string &name="") const

virtual void	AddChildrenToList (ChildrenListType *childrenList, unsigned int depth=0, const std::string &name="") const

bool	CheckIdValidity () const

virtual bool	ComputeFamilyBoundingBox (unsigned int depth=0, const std::string &name="") const

void	ComputeObjectToParentTransform ()

void	CopyInformation (const DataObject *data) override

virtual void	DerivativeAtInObjectSpace (const PointType &point, short unsigned int order, CovariantVectorType &value, unsigned int depth=0, const std::string &name="", const DerivativeOffsetType &offset=MakeFilled< DerivativeOffsetType >(1))

void	DerivativeAtInWorldSpace (const PointType &point, short unsigned int order, CovariantVectorType &value, unsigned int depth=0, const std::string &name="", const DerivativeOffsetType &offset=MakeFilled< DerivativeOffsetType >(1))

bool	Evaluate (const PointType &point) const

void	FixIdValidity ()

bool	FixParentChildHierarchyUsingParentIds ()

virtual const RegionType &	GetBufferedRegion () const

virtual ChildrenListType *	GetChildren (unsigned int depth=0, const std::string &name="") const

virtual std::string	GetClassNameAndDimension () const

virtual ChildrenConstListType *	GetConstChildren (unsigned int depth=0, const std::string &name="") const

virtual const BoundingBoxType *	GetFamilyBoundingBoxInObjectSpace () const

virtual const BoundingBoxType *	GetFamilyBoundingBoxInWorldSpace () const

virtual const RegionType &	GetLargestPossibleRegion () const

unsigned int	GetMaximumDepth () const

ModifiedTimeType	GetMTime () const override

virtual const BoundingBoxType *	GetMyBoundingBoxInObjectSpace () const

virtual const BoundingBoxType *	GetMyBoundingBoxInWorldSpace () const

ModifiedTimeType	GetMyMTime () const

const char *	GetNameOfClass () const override

int	GetNextAvailableId () const

unsigned int	GetNumberOfChildren (unsigned int depth=0, const std::string &name="") const

SpatialObject< VDimension > *	GetObjectById (int id)

unsigned int	GetObjectDimension () const

virtual Self *	GetParent ()

virtual const Self *	GetParent () const

PropertyType &	GetProperty ()

const PropertyType &	GetProperty () const

virtual const RegionType &	GetRequestedRegion () const

virtual std::string	GetTypeName () const

virtual bool	HasParent () const

virtual bool	IsEvaluableAtChildrenInObjectSpace (const PointType &point, unsigned int depth=0, const std::string &name="") const

virtual bool	IsEvaluableAtInObjectSpace (const PointType &point, unsigned int depth=0, const std::string &name="") const

bool	IsEvaluableAtInWorldSpace (const PointType &point, unsigned int depth=0, const std::string &name="") const

virtual bool	IsInsideChildrenInObjectSpace (const PointType &point, unsigned int depth=0, const std::string &name="") const

virtual bool	IsInsideInObjectSpace (const PointType &point) const

bool	IsInsideInObjectSpace (const PointType &point, unsigned int depth, const std::string &name="") const

bool	IsInsideInWorldSpace (const PointType &point) const

bool	IsInsideInWorldSpace (const PointType &point, unsigned int depth, const std::string &name="") const

void	RemoveAllChildren (unsigned int depth=MaximumDepth)

bool	RemoveChild (Self *pointer)

bool	RequestedRegionIsOutsideOfTheBufferedRegion () override

virtual void	SetBufferedRegion (const RegionType &region)

void	SetChildren (ChildrenListType &children)

virtual void	SetLargestPossibleRegion (const RegionType &region)

void	SetParent (Self *parent)

void	SetRequestedRegion (const DataObject *data) override

virtual void	SetRequestedRegion (const RegionType &region)

void	SetRequestedRegionToLargestPossibleRegion () override

virtual void	SetTypeName (std::string _arg)

void	Update () override

void	UpdateOutputInformation () override

virtual bool	ValueAtChildrenInObjectSpace (const PointType &point, double &value, unsigned int depth=0, const std::string &name="") const

virtual bool	ValueAtInObjectSpace (const PointType &point, double &value, unsigned int depth=0, const std::string &name="") const

bool	ValueAtInWorldSpace (const PointType &point, double &value, unsigned int depth=0, const std::string &name="") const

bool	VerifyRequestedRegion () override

void	SetId (int id)

virtual const int &	GetId () const

void	SetProperty (const PropertyType &property)

void	SetObjectToWorldTransform (const TransformType *transform)

virtual TransformType *	GetModifiableObjectToWorldTransform ()

const TransformType *	GetObjectToWorldTransformInverse () const

void	SetObjectToParentTransform (const TransformType *transform)

virtual TransformType *	GetModifiableObjectToParentTransform ()

const TransformType *	GetObjectToParentTransformInverse () const

virtual void	SetDefaultInsideValue (double _arg)

virtual double	GetDefaultInsideValue () const

virtual void	SetDefaultOutsideValue (double _arg)

virtual double	GetDefaultOutsideValue () const

virtual void	SetParentId (int _arg)

virtual const int &	GetParentId () const

Public Member Functions inherited from itk::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 void	ResetPipeline ()

void	SetReleaseDataFlag (bool flag)

bool	ShouldIReleaseData () const

virtual void	UpdateOutputData ()

void	UpdateSource () const

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 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

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::SpatialObject< TDimension >
static Pointer	New ()

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
static constexpr unsigned int	ObjectDimensions = TDimension

Static Public Attributes inherited from itk::SpatialObject< TDimension >
static constexpr unsigned int	MaximumDepth

static constexpr ObjectDimensionType	ObjectDimension

Protected Member Functions
void	ComputeMyBoundingBox () override

	GaussianSpatialObject ()

LightObject::Pointer	InternalClone () const override

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

	~GaussianSpatialObject () override=default

Protected Member Functions inherited from itk::SpatialObject< TDimension >
BoundingBoxType *	GetModifiableMyBoundingBoxInObjectSpace ()

LightObject::Pointer	InternalClone () const override

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

void	ProtectedComputeObjectToWorldTransform ()

	SpatialObject ()=default

	~SpatialObject () override

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
	LightObject ()

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

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

virtual	~LightObject ()

Private Attributes
PointType	m_CenterInObjectSpace {}

ScalarType	m_Maximum {}

ScalarType	m_RadiusInObjectSpace {}

ScalarType	m_SigmaInObjectSpace {}

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