Aim: This class implement an Integral Invariant estimator which computes for each surfel the covariance matrix of the intersection of the shape with a ball of given radius centered on the surfel. More...

#include <DGtal/geometry/surfaces/estimation/IntegralInvariantCovarianceEstimator.h>

Public Types
typedef IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >	Self

typedef TKSpace	KSpace

typedef TPointPredicate	PointPredicate

typedef TCovarianceMatrixFunctor	CovarianceMatrixFunctor

typedef KSpace::Space	Space

typedef HyperRectDomain< Space >	Domain

typedef Space::Point	Point

typedef Space::RealPoint	RealPoint

typedef Space::RealVector	RealVector

typedef DigitalSetSelector< Domain, BIG_DS+HIGH_VAR_DS >::Type	DigitalSet

typedef KSpace::SCell	Spel

typedef KSpace::Surfel	Surfel

typedef KSpace::SurfelSet	SurfelSet

typedef SurfelSet::const_iterator	ConstIteratorKernel

typedef CovarianceMatrixFunctor::Quantity	Quantity
	The returned type of the estimator, depends on the functor. More...

typedef int	Value
	The type used for convolutions. More...

typedef functors::PointFunctorFromPointPredicateAndDomain< PointPredicate, Domain, unsigned int >	ShapePointFunctor

typedef FunctorOnCells< ShapePointFunctor, KSpace >	ShapeSpelFunctor

typedef functors::ConstValueCell< Value, Spel >	KernelSpelFunctor

typedef ImplicitBall< Space >	KernelSupport

typedef EuclideanShapesCSG< KernelSupport, KernelSupport >	EuclideanMinus

typedef GaussDigitizer< Space, KernelSupport >	DigitalShapeKernel

typedef GaussDigitizer< Space, EuclideanMinus >	DigitalShape

typedef DigitalSurfaceConvolver< ShapeSpelFunctor, KernelSpelFunctor, KSpace, DigitalShapeKernel >	Convolver

typedef Convolver::PairIterators	PairIterators

typedef Convolver::CovarianceMatrix	Matrix

typedef Matrix::Component	Component

typedef double	Scalar

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CCellularGridSpaceND< KSpace >))

	BOOST_CONCEPT_ASSERT ((concepts::CPointPredicate< PointPredicate >))

	BOOST_CONCEPT_ASSERT ((concepts::CCellFunctor< ShapeSpelFunctor >))

	BOOST_CONCEPT_ASSERT ((concepts::CUnaryFunctor< CovarianceMatrixFunctor, Matrix, Quantity >))

	BOOST_STATIC_ASSERT ((concepts::ConceptUtils::SameType< typename Convolver::CovarianceMatrix, typename CovarianceMatrixFunctor::Argument >::value))

	IntegralInvariantCovarianceEstimator (CovarianceMatrixFunctor fct=CovarianceMatrixFunctor())

	IntegralInvariantCovarianceEstimator (ConstAlias< KSpace > K, ConstAlias< PointPredicate > aPointPredicate, CovarianceMatrixFunctor fct=CovarianceMatrixFunctor())

	~IntegralInvariantCovarianceEstimator ()

	IntegralInvariantCovarianceEstimator (const Self &other)

Self &	operator= (const Self &other)

void	clear ()

Scalar	h () const

void	attach (ConstAlias< KSpace > K, ConstAlias< PointPredicate > aPointPredicate)

void	setParams (const double dRadius)

template<typename SurfelConstIterator >
void	init (const double _h, SurfelConstIterator itb, SurfelConstIterator ite)

template<typename SurfelConstIterator >
Quantity	eval (SurfelConstIterator it) const

template<typename OutputIterator , typename SurfelConstIterator >
OutputIterator	eval (SurfelConstIterator itb, SurfelConstIterator ite, OutputIterator result) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Private Attributes
CovarianceMatrixFunctor	myFct
	The covariance matrix functor that transforms the II covariance matrix into a quantity. More...

const KernelSpelFunctor	myKernelFunctor
	Kernel functor (on Spel) More...

std::vector< PairIterators >	myKernels
	array of begin/end iterator of shifting masks. More...

std::vector< DigitalSet * >	myKernelsSet
	Array of shifting masks. Size = 9 for each shifting (0-adjacent and full kernel included) More...

CountedPtr< KernelSupport >	myKernel
	Euclidean kernel. More...

CountedPtr< DigitalShapeKernel >	myDigKernel
	Digital kernel. More...

CountedConstPtrOrConstPtr< PointPredicate >	myPointPredicate
	Smart pointer (if required) on a point predicate. More...

CountedPtr< Domain >	myShapeDomain
	Smart pointer on domain More...

CountedPtr< ShapePointFunctor >	myShapePointFunctor
	Smart pointer on functor point -> {0,1}. More...

CountedPtr< ShapeSpelFunctor >	myShapeSpelFunctor
	Smart pointer on functor spel -> {0,1}. More...

CountedPtr< Convolver >	myConvolver
	Convolver. More...

Scalar	myH
	precision of the grid More...

Scalar	myRadius
	"digital" radius of the kernel (but may be non integer). More...

Detailed Description

template<typename TKSpace, typename TPointPredicate, typename TCovarianceMatrixFunctor>
class DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >

Aim: This class implement an Integral Invariant estimator which computes for each surfel the covariance matrix of the intersection of the shape with a ball of given radius centered on the surfel.

Description of template class 'IntegralInvariantCovarianceEstimator'

[27]

The algorithm we propose uses a kernel (2D: Ball2D, 3D: Ball3D) that is moved along the surface. The covariance matrix of this kernel intersected with the shape carries local geometric information. It can be used to compute normal and curvature directions, and curvature values also. Theorical multigrid convergence is proved, with a convergence speed of O(h^1/3) with hypothesis about the shape geometry and the convolution kernel radius. Experimental results confirm the multigrid convergence.

Optimization is available when we give a range of 0-adjacent surfels to the estimator. Note that you should use IntegralInvariantVolumeEstimator instead when trying to estimate the 2D curvature or the mean curvature.

Template Parameters

TKSpace	a model of CCellularGridSpaceND, the cellular space in which the shape is defined.
TPointPredicate	a model of concepts::CPointPredicate, a predicate Point -> bool that defines a digital shape as a characteristic function.
TCovarianceMatrixFunctor	a model of functor Matrix -> Quantity, that defines how the covariance matrix computed by the Integral Invariant estimator is transformed into e.g. a normal direction, a curvature, etc. Models include IIGeometricFunctors::IINormalDirectionFunctor, IIGeometricFunctors::IITangentDirectionFunctor, IIGeometricFunctors::IIFirstPrincipalDirectionFunctor, IIGeometricFunctors::IISecondPrincipalDirectionFunctor.

Note: In opposition to IntegralInvariantMeanCurvatureEstimator and IntegralInvariantGaussianCurvatureEstimator, this class is parameterized by a point predicate instead of a functor spel -> {0,1}. The two latter classes should evolve as this one in a further release.

See also: testIntegralInvariantCovarianceEstimator.cpp

Examples: dec/exampleHeatLaplace.cpp, and tutorial-examples/AreaSurfaceEstimation-final.cpp.

Definition at line 115 of file IntegralInvariantCovarianceEstimator.h.

Member Typedef Documentation

◆ Component

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef Matrix::Component DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Component

Definition at line 160 of file IntegralInvariantCovarianceEstimator.h.

◆ ConstIteratorKernel

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef SurfelSet::const_iterator DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::ConstIteratorKernel

Definition at line 135 of file IntegralInvariantCovarianceEstimator.h.

◆ Convolver

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef DigitalSurfaceConvolver<ShapeSpelFunctor, KernelSpelFunctor, KSpace, DigitalShapeKernel> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Convolver

Definition at line 157 of file IntegralInvariantCovarianceEstimator.h.

◆ CovarianceMatrixFunctor

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef TCovarianceMatrixFunctor DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::CovarianceMatrixFunctor

Definition at line 121 of file IntegralInvariantCovarianceEstimator.h.

◆ DigitalSet

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef DigitalSetSelector<Domain,BIG_DS+HIGH_VAR_DS>::Type DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::DigitalSet

Definition at line 131 of file IntegralInvariantCovarianceEstimator.h.

◆ DigitalShape

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef GaussDigitizer< Space, EuclideanMinus > DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::DigitalShape

Definition at line 154 of file IntegralInvariantCovarianceEstimator.h.

◆ DigitalShapeKernel

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef GaussDigitizer< Space, KernelSupport > DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::DigitalShapeKernel

Definition at line 153 of file IntegralInvariantCovarianceEstimator.h.

◆ Domain

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef HyperRectDomain<Space> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Domain

Definition at line 127 of file IntegralInvariantCovarianceEstimator.h.

◆ EuclideanMinus

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef EuclideanShapesCSG< KernelSupport, KernelSupport > DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::EuclideanMinus

Definition at line 152 of file IntegralInvariantCovarianceEstimator.h.

◆ KernelSpelFunctor

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef functors::ConstValueCell<Value, Spel> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::KernelSpelFunctor

Definition at line 150 of file IntegralInvariantCovarianceEstimator.h.

◆ KernelSupport

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef ImplicitBall<Space> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::KernelSupport

Definition at line 151 of file IntegralInvariantCovarianceEstimator.h.

◆ KSpace

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef TKSpace DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::KSpace

Definition at line 119 of file IntegralInvariantCovarianceEstimator.h.

◆ Matrix

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef Convolver::CovarianceMatrix DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Matrix

Definition at line 159 of file IntegralInvariantCovarianceEstimator.h.

◆ PairIterators

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef Convolver::PairIterators DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::PairIterators

Definition at line 158 of file IntegralInvariantCovarianceEstimator.h.

◆ Point

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef Space::Point DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Point

Definition at line 128 of file IntegralInvariantCovarianceEstimator.h.

◆ PointPredicate

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef TPointPredicate DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::PointPredicate

Definition at line 120 of file IntegralInvariantCovarianceEstimator.h.

◆ Quantity

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef CovarianceMatrixFunctor::Quantity DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Quantity

The returned type of the estimator, depends on the functor.

Definition at line 138 of file IntegralInvariantCovarianceEstimator.h.

◆ RealPoint

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef Space::RealPoint DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::RealPoint

Definition at line 129 of file IntegralInvariantCovarianceEstimator.h.

◆ RealVector

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef Space::RealVector DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::RealVector

Definition at line 130 of file IntegralInvariantCovarianceEstimator.h.

◆ Scalar

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef double DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Scalar

Definition at line 161 of file IntegralInvariantCovarianceEstimator.h.

◆ Self

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Self

Definition at line 118 of file IntegralInvariantCovarianceEstimator.h.

◆ ShapePointFunctor

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef functors::PointFunctorFromPointPredicateAndDomain< PointPredicate, Domain, unsigned int > DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::ShapePointFunctor

A wrapper around point predicate (functor Point -> bool) that transforms it into a functor Point -> unsigned int (0 or 1).

Definition at line 144 of file IntegralInvariantCovarianceEstimator.h.

◆ ShapeSpelFunctor

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef FunctorOnCells< ShapePointFunctor, KSpace > DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::ShapeSpelFunctor

Adapts the a functor Point -> unsigned int (0 or 1) to a functor Cell -> unsigned int (0 ot 1), where Cell is a spel. Needed by DigitalSurfaceConvolver.

Definition at line 147 of file IntegralInvariantCovarianceEstimator.h.

◆ Space

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef KSpace::Space DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Space

Definition at line 126 of file IntegralInvariantCovarianceEstimator.h.

◆ Spel

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef KSpace::SCell DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Spel

Definition at line 132 of file IntegralInvariantCovarianceEstimator.h.

◆ Surfel

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef KSpace::Surfel DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Surfel

Definition at line 133 of file IntegralInvariantCovarianceEstimator.h.

◆ SurfelSet

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef KSpace::SurfelSet DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::SurfelSet

Definition at line 134 of file IntegralInvariantCovarianceEstimator.h.

◆ Value

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

typedef int DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::Value

The type used for convolutions.

Definition at line 140 of file IntegralInvariantCovarianceEstimator.h.

Constructor & Destructor Documentation

◆ IntegralInvariantCovarianceEstimator() [1/3]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::IntegralInvariantCovarianceEstimator ( CovarianceMatrixFunctor fct = CovarianceMatrixFunctor() )

Default constructor. The object is invalid. The user needs to call setParams and attach.

Parameters

fct	the functor for transforming the covariance matrix into some quantity. If not precised, a default object is instantiated.

◆ IntegralInvariantCovarianceEstimator() [2/3]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::IntegralInvariantCovarianceEstimator	(	ConstAlias< KSpace >	K,
		ConstAlias< PointPredicate >	aPointPredicate,
		CovarianceMatrixFunctor	fct = `CovarianceMatrixFunctor()`
	)

Constructor.

Parameters

[in]	K	the cellular grid space in which the shape is defined.
[in]	aPointPredicate	the shape of interest. The alias can be secured if a some counted pointer is handed.
	fct	the functor for transforming the covariance matrix into some quantity. If not precised, a default object is instantiated.

◆ ~IntegralInvariantCovarianceEstimator()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::~IntegralInvariantCovarianceEstimator ( )

Destructor.

◆ IntegralInvariantCovarianceEstimator() [3/3]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::IntegralInvariantCovarianceEstimator ( const Self & other )

Copy constructor.

Parameters

other the object to clone.

Member Function Documentation

◆ attach()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

void DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::attach	(	ConstAlias< KSpace >	K,
		ConstAlias< PointPredicate >	aPointPredicate
	)

Attach a shape, defined as a functor spel -> boolean

Parameters

[in]	K	the cellular grid space in which the shape is defined.
	aPointPredicate	the shape of interest. The alias can be secured if a some counted pointer is handed.

◆ BOOST_CONCEPT_ASSERT() [1/4]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::BOOST_CONCEPT_ASSERT ( (concepts::CCellFunctor< ShapeSpelFunctor >) )

◆ BOOST_CONCEPT_ASSERT() [2/4]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::BOOST_CONCEPT_ASSERT ( (concepts::CCellularGridSpaceND< KSpace >) )

◆ BOOST_CONCEPT_ASSERT() [3/4]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::BOOST_CONCEPT_ASSERT ( (concepts::CPointPredicate< PointPredicate >) )

◆ BOOST_CONCEPT_ASSERT() [4/4]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::BOOST_CONCEPT_ASSERT ( (concepts::CUnaryFunctor< CovarianceMatrixFunctor, Matrix, Quantity >) )

◆ BOOST_STATIC_ASSERT()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::BOOST_STATIC_ASSERT ( (concepts::ConceptUtils::SameType< typename Convolver::CovarianceMatrix, typename CovarianceMatrixFunctor::Argument >::value) )

◆ clear()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

void DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::clear ( )

Clears the object. It is now invalid.

◆ eval() [1/2]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

template<typename SurfelConstIterator >

Quantity DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::eval ( SurfelConstIterator it ) const

– Estimation –

Compute the integral invariant covariance matrix at surfel *it of a shape, then apply the CovarianceMatrixFunctor to extract some geometric information.

Template Parameters

SurfelConstIterator type of Iterator on a Surfel

Parameters

[in] it iterator pointing on the surfel of the shape where we wish to evaluate some geometric information.

Returns: quantity (normal vector) at surfel *it

◆ eval() [2/2]

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

template<typename OutputIterator , typename SurfelConstIterator >

OutputIterator DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::eval	(	SurfelConstIterator	itb,
		SurfelConstIterator	ite,
		OutputIterator	result
	)		const

– Estimation –

Compute the integral invariant covariance matrix for a range of surfels [itb,ite) on a shape, then apply the CovarianceMatrixFunctor to extract some geometric information. Return the result on an OutputIterator (param).

Template Parameters

OutputIterator	type of Iterator of an array of Quantity
SurfelConstIterator	type of Iterator on a Surfel

Parameters

[in]	itb	iterator defining the start of the range of surfels where we wish to compute some geometric information.
[in]	ite	iterator defining the end of the range of surfels where we wish to compute some geometric information.
[in]	result	output iterator of results of the computation.

Returns: the updated output iterator after all outputs.

◆ h()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

Scalar DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::h ( ) const

Returns: the grid step.

◆ init()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

template<typename SurfelConstIterator >

void DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::init	(	const double	_h,
		SurfelConstIterator	itb,
		SurfelConstIterator	ite
	)

Model of CDigitalSurfaceLocalEstimator. Initialisation.

Template Parameters

SurfelConstIterator any model of forward readable iterator on Surfel.

Parameters

[in]	_h	grid size (must be >0).
[in]	ite	iterator on the first surfel of the surface.
[in]	itb	iterator after the last surfel of the surface.

Referenced by laplace_sphere().

◆ isValid()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

bool DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::isValid ( ) const

Checks the validity/consistency of the object.

Returns: 'true' if the object is valid, 'false' otherwise.

◆ operator=()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

Self & DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::operator= ( const Self & other )

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'.

◆ selfDisplay()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

void DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

◆ setParams()

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

void DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::setParams ( const double dRadius )

Set specific parameters: the radius of the ball.

Parameters

[in] dRadius the "digital" radius of the kernel (but may be non integer).

Field Documentation

◆ myConvolver

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CountedPtr<Convolver> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myConvolver

private

Convolver.

Definition at line 318 of file IntegralInvariantCovarianceEstimator.h.

◆ myDigKernel

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CountedPtr<DigitalShapeKernel> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myDigKernel

private

Digital kernel.

Definition at line 313 of file IntegralInvariantCovarianceEstimator.h.

◆ myFct

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CovarianceMatrixFunctor DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myFct

private

The covariance matrix functor that transforms the II covariance matrix into a quantity.

Definition at line 308 of file IntegralInvariantCovarianceEstimator.h.

◆ myH

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

Scalar DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myH

private

precision of the grid

Definition at line 319 of file IntegralInvariantCovarianceEstimator.h.

◆ myKernel

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CountedPtr<KernelSupport> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myKernel

private

Euclidean kernel.

Definition at line 312 of file IntegralInvariantCovarianceEstimator.h.

◆ myKernelFunctor

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

const KernelSpelFunctor DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myKernelFunctor

private

Kernel functor (on Spel)

Definition at line 309 of file IntegralInvariantCovarianceEstimator.h.

◆ myKernels

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

std::vector< PairIterators > DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myKernels

private

array of begin/end iterator of shifting masks.

Definition at line 310 of file IntegralInvariantCovarianceEstimator.h.

◆ myKernelsSet

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

std::vector< DigitalSet * > DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myKernelsSet

private

Array of shifting masks. Size = 9 for each shifting (0-adjacent and full kernel included)

Definition at line 311 of file IntegralInvariantCovarianceEstimator.h.

◆ myPointPredicate

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CountedConstPtrOrConstPtr<PointPredicate> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myPointPredicate

private

Smart pointer (if required) on a point predicate.

Definition at line 314 of file IntegralInvariantCovarianceEstimator.h.

◆ myRadius

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

Scalar DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myRadius

private

"digital" radius of the kernel (but may be non integer).

Definition at line 320 of file IntegralInvariantCovarianceEstimator.h.

◆ myShapeDomain

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CountedPtr<Domain> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myShapeDomain

private

Smart pointer on domain

Definition at line 315 of file IntegralInvariantCovarianceEstimator.h.

◆ myShapePointFunctor

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CountedPtr<ShapePointFunctor> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myShapePointFunctor

private

Smart pointer on functor point -> {0,1}.

Definition at line 316 of file IntegralInvariantCovarianceEstimator.h.

◆ myShapeSpelFunctor

template<typename TKSpace , typename TPointPredicate , typename TCovarianceMatrixFunctor >

CountedPtr<ShapeSpelFunctor> DGtal::IntegralInvariantCovarianceEstimator< TKSpace, TPointPredicate, TCovarianceMatrixFunctor >::myShapeSpelFunctor

private

Smart pointer on functor spel -> {0,1}.

Definition at line 317 of file IntegralInvariantCovarianceEstimator.h.

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

IntegralInvariantCovarianceEstimator.h

Public Types

Public Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ Component

◆ ConstIteratorKernel

◆ Convolver

◆ CovarianceMatrixFunctor

◆ DigitalSet

◆ DigitalShape

◆ DigitalShapeKernel

◆ Domain

◆ EuclideanMinus

◆ KernelSpelFunctor

◆ KernelSupport

◆ KSpace

◆ Matrix

◆ PairIterators

◆ Point

◆ PointPredicate

◆ Quantity

◆ RealPoint

◆ RealVector

◆ Scalar

◆ Self

◆ ShapePointFunctor

◆ ShapeSpelFunctor

◆ Space

◆ Spel

◆ Surfel

◆ SurfelSet

◆ Value

Constructor & Destructor Documentation

◆ IntegralInvariantCovarianceEstimator() [1/3]

◆ IntegralInvariantCovarianceEstimator() [2/3]

◆ ~IntegralInvariantCovarianceEstimator()

◆ IntegralInvariantCovarianceEstimator() [3/3]

Member Function Documentation

◆ attach()

◆ BOOST_CONCEPT_ASSERT() [1/4]

◆ BOOST_CONCEPT_ASSERT() [2/4]

◆ BOOST_CONCEPT_ASSERT() [3/4]

◆ BOOST_CONCEPT_ASSERT() [4/4]

◆ BOOST_STATIC_ASSERT()

◆ clear()

◆ eval() [1/2]

◆ eval() [2/2]

◆ h()

◆ init()

◆ isValid()

◆ operator=()

◆ selfDisplay()

◆ setParams()

Field Documentation

◆ myConvolver

◆ myDigKernel

◆ myFct

◆ myH

◆ myKernel

◆ myKernelFunctor

◆ myKernels

◆ myKernelsSet

◆ myPointPredicate

◆ myRadius

◆ myShapeDomain

◆ myShapePointFunctor

◆ myShapeSpelFunctor