Aim: This class adapts a VoronoiCovarianceMeasureOnDigitalSurface to be a model of CDigitalSurfaceLocalEstimator. It uses the Voronoi Covariance Measure to estimate geometric quantities. The type TVCMGeometricFunctor specifies which is the estimated quantity. For instance, VCMGeometricFunctors::VCMNormalVectorFunctor returns the estimated VCM surface outward normal for given surfels. More...

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

Public Types
typedef VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >	Self
	my own type

typedef TDigitalSurfaceContainer	DigitalSurfaceContainer
	the chosen container

typedef TSeparableMetric	Metric
	the chosen metric

typedef TKernelFunction	KernelFunction
	the kernel function

typedef TVCMGeometricFunctor	VCMGeometricFunctor

typedef VoronoiCovarianceMeasureOnDigitalSurface< DigitalSurfaceContainer, Metric, KernelFunction >	VCMOnSurface
	the type of computing the Voronoi covariance measure on a digital surface.

typedef VCMOnSurface::Surface	Surface
	the digital surface

typedef Surface::Surfel	Surfel
	the signed surface element

typedef VCMGeometricFunctor::Quantity	Quantity
	the estimation type is given by the geometric functor

typedef Surface::SCell	SCell
	the signed cell

typedef Surface::ConstIterator	ConstIterator
	the iterator on surfels

typedef VCMOnSurface::Scalar	Scalar
	the "real number" type

Public Member Functions
	~VCMDigitalSurfaceLocalEstimator ()

	VCMDigitalSurfaceLocalEstimator ()

	VCMDigitalSurfaceLocalEstimator (const Self &other)

Self &	operator= (const Self &other)

	VCMDigitalSurfaceLocalEstimator (ConstAlias< Surface > surface)

	VCMDigitalSurfaceLocalEstimator (ConstAlias< VCMOnSurface > aVCMOnSurface)

void	attach (ConstAlias< Surface > surface)

void	setParams (Surfel2PointEmbedding surfelEmbedding, const Scalar R, const Scalar r, KernelFunction chi_r, const Scalar t=2.5, Metric aMetric=Metric(), bool verbose=true)

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

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

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

Scalar	h () const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Protected Attributes
CountedConstPtrOrConstPtr< Surface >	mySurface
	A (possibly) shared object storing the digital surface.

Surfel2PointEmbedding	mySurfelEmbedding
	the embedding chosen for the surfels.

CountedConstPtrOrConstPtr< VCMOnSurface >	myVCMOnSurface
	A (possibly) shared object storing the whole Voronoi covariance measure.

VCMGeometricFunctor	myGeomFct
	The geometric functor.

Scalar	myH
	The gridstep.

Private Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CDigitalSurfaceContainer< TDigitalSurfaceContainer >))

	BOOST_CONCEPT_ASSERT ((concepts::CSeparableMetric< TSeparableMetric >))

Detailed Description

template<typename TDigitalSurfaceContainer, typename TSeparableMetric, typename TKernelFunction, typename TVCMGeometricFunctor>
class DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >

Aim: This class adapts a VoronoiCovarianceMeasureOnDigitalSurface to be a model of CDigitalSurfaceLocalEstimator. It uses the Voronoi Covariance Measure to estimate geometric quantities. The type TVCMGeometricFunctor specifies which is the estimated quantity. For instance, VCMGeometricFunctors::VCMNormalVectorFunctor returns the estimated VCM surface outward normal for given surfels.

Description of template class 'VCMDigitalSurfaceLocalEstimator'

Note: Documentation in The class VCMDigitalSurfaceLocalEstimator.

Template Parameters

TDigitalSurfaceContainer	the type of digital surface container (model of CDigitalSurfaceContainer).
TSeparableMetric	a model of CSeparableMetric used for computing the Voronoi map (e.g. Euclidean metric is DGtal::ExactPredicateLpSeparableMetric<TSpace, 2> )
TKernelFunction	the type of the kernel function chi_r used for integrating the VCM, a map: Point -> Scalar.
TVCMGeometricFunctor	the type of the functor Surfel -> Quantity which chooses what is the returned estimation. Any VCMGeometricFunctors::VCMNormalVectorFunctor, ... is ok.

Examples: geometry/surfaces/dvcm-2d-curvature.cpp.

Definition at line 82 of file VCMDigitalSurfaceLocalEstimator.h.

Member Typedef Documentation

◆ ConstIterator

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

Surface::ConstIterator DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::ConstIterator

the iterator on surfels

Definition at line 104 of file VCMDigitalSurfaceLocalEstimator.h.

◆ DigitalSurfaceContainer

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

TDigitalSurfaceContainer DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::DigitalSurfaceContainer

the chosen container

Definition at line 90 of file VCMDigitalSurfaceLocalEstimator.h.

◆ KernelFunction

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

TKernelFunction DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::KernelFunction

the kernel function

Definition at line 92 of file VCMDigitalSurfaceLocalEstimator.h.

◆ Metric

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

TSeparableMetric DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::Metric

the chosen metric

Definition at line 91 of file VCMDigitalSurfaceLocalEstimator.h.

◆ Quantity

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

VCMGeometricFunctor::Quantity DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::Quantity

the estimation type is given by the geometric functor

Definition at line 101 of file VCMDigitalSurfaceLocalEstimator.h.

◆ Scalar

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

VCMOnSurface::Scalar DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::Scalar

the "real number" type

Definition at line 105 of file VCMDigitalSurfaceLocalEstimator.h.

◆ SCell

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

Surface::SCell DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::SCell

the signed cell

Definition at line 103 of file VCMDigitalSurfaceLocalEstimator.h.

◆ Self

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

VCMDigitalSurfaceLocalEstimator<TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor> DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::Self

my own type

Definition at line 89 of file VCMDigitalSurfaceLocalEstimator.h.

◆ Surface

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

VCMOnSurface::Surface DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::Surface

the digital surface

Definition at line 97 of file VCMDigitalSurfaceLocalEstimator.h.

◆ Surfel

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

Surface::Surfel DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::Surfel

the signed surface element

Definition at line 100 of file VCMDigitalSurfaceLocalEstimator.h.

◆ VCMGeometricFunctor

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

TVCMGeometricFunctor DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::VCMGeometricFunctor

the geometric functor (normal, principal directions)

Definition at line 93 of file VCMDigitalSurfaceLocalEstimator.h.

◆ VCMOnSurface

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

VoronoiCovarianceMeasureOnDigitalSurface<DigitalSurfaceContainer, Metric, KernelFunction> DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::VCMOnSurface

the type of computing the Voronoi covariance measure on a digital surface.

Definition at line 96 of file VCMDigitalSurfaceLocalEstimator.h.

Constructor & Destructor Documentation

◆ ~VCMDigitalSurfaceLocalEstimator()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::~VCMDigitalSurfaceLocalEstimator ( )

Destructor.

◆ VCMDigitalSurfaceLocalEstimator() [1/4]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::VCMDigitalSurfaceLocalEstimator ( )

Default constructor.

◆ VCMDigitalSurfaceLocalEstimator() [2/4]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::VCMDigitalSurfaceLocalEstimator ( const Self & other )

Copy constructor.

Parameters

other the object to clone.

◆ VCMDigitalSurfaceLocalEstimator() [3/4]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::VCMDigitalSurfaceLocalEstimator ( ConstAlias< Surface > surface )

Constructor. The estimator is invalid and setParams must be called.

Parameters

surface the digital surface that is aliased in this. The user can secure the aliasing by passing a CountedConstPtrOrConstPtr.

◆ VCMDigitalSurfaceLocalEstimator() [4/4]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::VCMDigitalSurfaceLocalEstimator ( ConstAlias< VCMOnSurface > aVCMOnSurface )

Constructor from VoronoiCovarianceMeasureOnDigitalSurface. The estimator is immediately valid.

Parameters

aVCMOnSurface any valid Voronoi covariance measure, which is aliased (possibly securely).

Member Function Documentation

◆ attach()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

void DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::attach ( ConstAlias< Surface > surface )

Attach a digital surface. After this call, the object is then invalid and the user must called setParams.

Parameters

surface the digital surface that is aliased in this. The user can secure the aliasing by passing a CountedConstPtrOrConstPtr.

◆ BOOST_CONCEPT_ASSERT() [1/2]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::BOOST_CONCEPT_ASSERT ( (concepts::CDigitalSurfaceContainer< TDigitalSurfaceContainer >) )

private

◆ BOOST_CONCEPT_ASSERT() [2/2]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::BOOST_CONCEPT_ASSERT ( (concepts::CSeparableMetric< TSeparableMetric >) )

private

◆ eval() [1/2]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

template<typename SurfelConstIterator >

Quantity DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::eval ( SurfelConstIterator it ) const

Template Parameters

SurfelConstIterator any model of forward readable iterator on Surfel.

Parameters

[in] it the surfel iterator at which we evaluate the quantity (within the range given at init).

Returns: the estimated quantity at *it

◆ eval() [2/2]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

template<typename SurfelConstIterator , typename OutputIterator >

OutputIterator DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::eval	(	SurfelConstIterator	itb,
		SurfelConstIterator	ite,
		OutputIterator	result ) const

Returns: the estimated quantity in the range [itb,ite)

Parameters

[in]	itb	starting surfel iterator (within the range given at init).
[in]	ite	end surfel iterator (within the range given at init).
[in,out]	result	resulting output iterator

◆ h()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

Scalar DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::h ( ) const

Returns: the gridstep.

Precondition: must be called after init

◆ init()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

template<typename SurfelConstIterator >

void DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::init	(	const Scalar	_h,
		SurfelConstIterator	itb,
		SurfelConstIterator	ite )

Model of CDigitalSurfaceLocalEstimator. Initialisation. Only used for storing gridstep and checking object validity. The VCM is necessarily initialized on the whole surface and _h is not used for normal estimation.

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.

◆ isValid()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

bool DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::isValid ( ) const

Checks the validity/consistency of the object.

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

◆ operator=()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

Self & DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::operator= ( const Self & other )

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'.

◆ selfDisplay()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

void DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::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 TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

void DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::setParams	(	Surfel2PointEmbedding	surfelEmbedding,
		const Scalar	R,
		const Scalar	r,
		KernelFunction	chi_r,
		const Scalar	t = 2.5,
		Metric	aMetric = Metric(),
		bool	verbose = true )

Initialisation of estimator specific parameters.

Parameters

[in]	surfelEmbedding	the chosen embedding for surfels.
[in]	R	the offset radius for the set of points. Voronoi cells are intersected with this offset. The unit corresponds to a step in the digital space.
[in]	r	(an upper bound of) the radius of the support of the kernel function chi_r (note \(\chi_r\) in the VCM paper). The unit corresponds to a step in the digital space. This parameter is used for preparing the data structure that answers to proximity queries.
[in]	chi_r	the kernel function whose support has radius less or equal to r.
[in]	t	the radius for the trivial normal estimator, which is used for finding the correct orientation inside/outside for the VCM.
[in]	aMetric	an instance of the metric.
[in]	verbose	if 'true' displays information on ongoing computation.

Field Documentation

◆ myGeomFct

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

VCMGeometricFunctor DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::myGeomFct

protected

The geometric functor.

Definition at line 256 of file VCMDigitalSurfaceLocalEstimator.h.

◆ myH

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

Scalar DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::myH

protected

The gridstep.

Definition at line 258 of file VCMDigitalSurfaceLocalEstimator.h.

◆ mySurface

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

CountedConstPtrOrConstPtr<Surface> DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::mySurface

protected

A (possibly) shared object storing the digital surface.

Definition at line 250 of file VCMDigitalSurfaceLocalEstimator.h.

◆ mySurfelEmbedding

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

Surfel2PointEmbedding DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::mySurfelEmbedding

protected

the embedding chosen for the surfels.

Definition at line 252 of file VCMDigitalSurfaceLocalEstimator.h.

◆ myVCMOnSurface

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction , typename TVCMGeometricFunctor >

CountedConstPtrOrConstPtr<VCMOnSurface> DGtal::VCMDigitalSurfaceLocalEstimator< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction, TVCMGeometricFunctor >::myVCMOnSurface

protected

A (possibly) shared object storing the whole Voronoi covariance measure.

Definition at line 254 of file VCMDigitalSurfaceLocalEstimator.h.

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

VCMDigitalSurfaceLocalEstimator.h

Public Types

Public Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Member Typedef Documentation

◆ ConstIterator

◆ DigitalSurfaceContainer

◆ KernelFunction

◆ Metric

◆ Quantity

◆ Scalar

◆ SCell

◆ Self

◆ Surface

◆ Surfel

◆ VCMGeometricFunctor

◆ VCMOnSurface

Constructor & Destructor Documentation

◆ ~VCMDigitalSurfaceLocalEstimator()

◆ VCMDigitalSurfaceLocalEstimator() [1/4]

◆ VCMDigitalSurfaceLocalEstimator() [2/4]

◆ VCMDigitalSurfaceLocalEstimator() [3/4]

◆ VCMDigitalSurfaceLocalEstimator() [4/4]

Member Function Documentation

◆ attach()

◆ BOOST_CONCEPT_ASSERT() [1/2]

◆ BOOST_CONCEPT_ASSERT() [2/2]

◆ eval() [1/2]

◆ eval() [2/2]

◆ h()

◆ init()

◆ isValid()

◆ operator=()

◆ selfDisplay()

◆ setParams()

Field Documentation

◆ myGeomFct

◆ myH

◆ mySurface

◆ mySurfelEmbedding

◆ myVCMOnSurface