Aim: This class specializes the Voronoi covariance measure for digital surfaces. It adds notably the embedding of surface elements, the diagonalisation of the VCM, and the orientation of the first VCM eigenvector toward the interior of the surface. More...

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

Data Structures
struct	EigenStructure
	Structure to hold a diagonalized matrix. More...

struct	Normals
	Structure to hold the normals for each surfel (the VCM one and the trivial one). More...

Public Types
typedef TDigitalSurfaceContainer	DigitalSurfaceContainer
	the chosen container

typedef TSeparableMetric	Metric
	the chosen metric

typedef TKernelFunction	KernelFunction
	the kernel function

typedef DigitalSurface< DigitalSurfaceContainer >	Surface
	the chosen digital surface

typedef DigitalSurfaceContainer::KSpace	KSpace
	the cellular space

typedef DigitalSurfaceContainer::Surfel	Surfel
	the n-1 cells

typedef KSpace::SCell	SCell
	the signed cells

typedef KSpace::Space	Space
	the digital space

typedef KSpace::Point	Point
	the digital points

typedef VoronoiCovarianceMeasure< Space, Metric >	VCM
	the Voronoi Covariance Measure

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

typedef Surface::ConstIterator	ConstIterator
	the iterator for traversing the surface

typedef EigenDecomposition< KSpace::dimension, Scalar >	LinearAlgebraTool
	diagonalizer (nD).

typedef VCM::VectorN	VectorN
	n-dimensional R-vector

typedef VCM::MatrixNN	MatrixNN
	nxn R-matrix

typedef std::map< Point, EigenStructure >	Point2EigenStructure
	the map Point -> EigenStructure

typedef std::map< Surfel, Normals >	Surfel2Normals
	the map Surfel -> Normals

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CUnaryFunctor< KernelFunction, Point, Scalar >))

	~VoronoiCovarianceMeasureOnDigitalSurface ()

	VoronoiCovarianceMeasureOnDigitalSurface (ConstAlias< Surface > _surface, Surfel2PointEmbedding _surfelEmbedding, Scalar _R, Scalar _r, KernelFunction chi_r, Scalar t=2.5, Metric aMetric=Metric(), bool verbose=false)

CountedConstPtrOrConstPtr< Surface >	surface () const
	the const-aliased digital surface.

Surfel2PointEmbedding	surfelEmbedding () const
	the chosen embedding Surfel -> Point(s)

Scalar	R () const

Scalar	r () const

Scalar	radiusTrivial () const

template<typename PointOutputIterator >
PointOutputIterator	getPoints (PointOutputIterator outIt, Surfel s) const

const Surfel2Normals &	mapSurfel2Normals () const

const Point2EigenStructure &	mapPoint2ChiVCM () const

bool	getChiVCMEigenvalues (VectorN &values, Surfel s) const

bool	getChiVCMEigenStructure (VectorN &values, MatrixNN &vectors, Surfel s) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Protected Member Functions
	VoronoiCovarianceMeasureOnDigitalSurface ()

Protected Attributes
CountedConstPtrOrConstPtr< Surface >	mySurface
	(possibly secure) alias of the digital surface

Surfel2PointEmbedding	mySurfelEmbedding
	The chosen embedding for the surfels.

KernelFunction	myChi
	The kernel function chi_r.

VCM	myVCM
	Stores the voronoi covariance measure of the point embedding of the surface.

Scalar	myRadiusTrivial

Point2EigenStructure	myPt2EigenStructure
	Stores for each point p its convolved VCM, i.e. VCM( chi_r( p ) )

Surfel2Normals	mySurfel2Normals
	Stores for each surfel its vcm normal and its trivial normal.

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

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

	VoronoiCovarianceMeasureOnDigitalSurface (const VoronoiCovarianceMeasureOnDigitalSurface &other)

VoronoiCovarianceMeasureOnDigitalSurface &	operator= (const VoronoiCovarianceMeasureOnDigitalSurface &other)

Detailed Description

template<typename TDigitalSurfaceContainer, typename TSeparableMetric, typename TKernelFunction>
class DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >

Aim: This class specializes the Voronoi covariance measure for digital surfaces. It adds notably the embedding of surface elements, the diagonalisation of the VCM, and the orientation of the first VCM eigenvector toward the interior of the surface.

Description of template class 'VoronoiCovarianceMeasureOnDigitalSurface'

Note: Documentation in The class VoronoiCovarianceMeasureOnDigitalSurface.

See also: VoronoiCovarianceMeasure

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.

Examples: geometry/surfaces/dvcm-2d-curvature.cpp, and geometry/surfaces/dvcm-3d.cpp.

Definition at line 86 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

Member Typedef Documentation

◆ ConstIterator

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef Surface::ConstIterator DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::ConstIterator

the iterator for traversing the surface

Definition at line 103 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ DigitalSurfaceContainer

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef TDigitalSurfaceContainer DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::DigitalSurfaceContainer

the chosen container

Definition at line 92 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ KernelFunction

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef TKernelFunction DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::KernelFunction

the kernel function

Definition at line 94 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ KSpace

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef DigitalSurfaceContainer::KSpace DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::KSpace

the cellular space

Definition at line 96 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ LinearAlgebraTool

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef EigenDecomposition<KSpace::dimension,Scalar> DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::LinearAlgebraTool

diagonalizer (nD).

Definition at line 104 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ MatrixNN

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef VCM::MatrixNN DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::MatrixNN

nxn R-matrix

Definition at line 106 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Metric

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef TSeparableMetric DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Metric

the chosen metric

Definition at line 93 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Point

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef KSpace::Point DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Point

the digital points

Definition at line 100 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Point2EigenStructure

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef std::map<Point,EigenStructure> DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Point2EigenStructure

the map Point -> EigenStructure

Definition at line 120 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Scalar

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef VCM::Scalar DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Scalar

the "real number" type

Definition at line 102 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ SCell

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef KSpace::SCell DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::SCell

the signed cells

Definition at line 98 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Space

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef KSpace::Space DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Space

the digital space

Definition at line 99 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Surface

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef DigitalSurface<DigitalSurfaceContainer> DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Surface

the chosen digital surface

Definition at line 95 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Surfel

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef DigitalSurfaceContainer::Surfel DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Surfel

the n-1 cells

Definition at line 97 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ Surfel2Normals

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef std::map<Surfel,Normals> DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::Surfel2Normals

the map Surfel -> Normals

Definition at line 121 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ VCM

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef VoronoiCovarianceMeasure<Space,Metric> DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::VCM

the Voronoi Covariance Measure

Definition at line 101 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ VectorN

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

typedef VCM::VectorN DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::VectorN

n-dimensional R-vector

Definition at line 105 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

Constructor & Destructor Documentation

◆ ~VoronoiCovarianceMeasureOnDigitalSurface()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::~VoronoiCovarianceMeasureOnDigitalSurface ( )

Destructor.

◆ VoronoiCovarianceMeasureOnDigitalSurface() [1/3]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::VoronoiCovarianceMeasureOnDigitalSurface	(	ConstAlias< Surface >	_surface,
		Surfel2PointEmbedding	_surfelEmbedding,
		Scalar	_R,
		Scalar	_r,
		KernelFunction	chi_r,
		Scalar	t = 2.5,
		Metric	aMetric = Metric(),
		bool	verbose = false )

Constructor. Computes the VCM of the given surface.

Parameters

_surface	the digital surface that is aliased in this. The user can secure the aliasing by passing a CountedConstPtrOrConstPtr.
_surfelEmbedding	the chosen embedding for surfels.
_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.
_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.
chi_r	the kernel function whose support has radius less or equal to r.
t	the radius for the trivial normal estimator, which is used for finding the correct orientation inside/outside for the VCM.
aMetric	an instance of the metric (used for the Voronoi map construction).
verbose	if 'true' displays information on ongoing computation.

◆ VoronoiCovarianceMeasureOnDigitalSurface() [2/3]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::VoronoiCovarianceMeasureOnDigitalSurface ( )

protected

Constructor. Forbidden by default (protected to avoid g++ warnings).

◆ VoronoiCovarianceMeasureOnDigitalSurface() [3/3]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::VoronoiCovarianceMeasureOnDigitalSurface ( const VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction > & other )

private

Copy constructor.

Parameters

other the object to clone. Forbidden by default.

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

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

private

◆ BOOST_CONCEPT_ASSERT() [2/3]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

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

private

◆ BOOST_CONCEPT_ASSERT() [3/3]

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::BOOST_CONCEPT_ASSERT ( (concepts::CUnaryFunctor< KernelFunction, Point, Scalar >) )

◆ getChiVCMEigenStructure()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

bool DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::getChiVCMEigenStructure	(	VectorN &	values,
		MatrixNN &	vectors,
		Surfel	s ) const

Gets the eigen decomposition of the chi_r VCM at surfel s.

Parameters

[out]	values	the eigenvalues of the chi_r VCM at s sorted from lowest to highest..
[out]	vectors	the eigenvectors of the chi_r VCM at s associated to values.
[in]	s	the surfel

Returns: 'true' is the surfel s was valid.

◆ getChiVCMEigenvalues()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

bool DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::getChiVCMEigenvalues	(	VectorN &	values,
		Surfel	s ) const

Gets the eigenvalues of the chi_r VCM at surfel s sorted from lowest to highest.

Parameters

[out]	values	the eigenvalues of the chi_r VCM at s.
[in]	s	the surfel

Returns: 'true' is the surfel s was valid.

◆ getPoints()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

template<typename PointOutputIterator >

PointOutputIterator DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::getPoints	(	PointOutputIterator	outIt,
		Surfel	s ) const

Parameters

[in]	outIt	an output iterator on Point to write the point(s) associated to surfel s.
[in]	s	the surfel that is embedded in the digital space according to mySurfelEmbedding.

Returns: the (modified) output iterator after the write operations.

◆ isValid()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

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

Checks the validity/consistency of the object.

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

◆ mapPoint2ChiVCM()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

const Point2EigenStructure & DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::mapPoint2ChiVCM ( ) const

Returns: a const-reference to the map Point -> EigenStructure of the chi_r VCM (eigenvalues and eigenvectors).

◆ mapSurfel2Normals()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

const Surfel2Normals & DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::mapSurfel2Normals ( ) const

Returns: a const-reference to the map Surfel -> Normals (vcm and trivial normal).

◆ operator=()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

VoronoiCovarianceMeasureOnDigitalSurface & DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::operator= ( const VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction > & other )

private

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'. Forbidden by default.

◆ R()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Scalar DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::R ( ) const

Returns: the parameter R in the VCM, i.e. the offset radius for the compact set K.

◆ r()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Scalar DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::r ( ) const

Returns: the parameter r in VCM(chi_r), i.e. an upper bound for the diameter of the support of kernel functions.

◆ radiusTrivial()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Scalar DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::radiusTrivial ( ) const

Returns: the radius for the trivial normal estimator, which is used for finding the correct orientation inside/outside for the VCM.

◆ selfDisplay()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

void DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

◆ surface()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

CountedConstPtrOrConstPtr< Surface > DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::surface ( ) const

the const-aliased digital surface.

◆ surfelEmbedding()

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Surfel2PointEmbedding DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::surfelEmbedding ( ) const

the chosen embedding Surfel -> Point(s)

Field Documentation

◆ myChi

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

KernelFunction DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::myChi

protected

The kernel function chi_r.

Definition at line 239 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ myPt2EigenStructure

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Point2EigenStructure DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::myPt2EigenStructure

protected

Stores for each point p its convolved VCM, i.e. VCM( chi_r( p ) )

Definition at line 247 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ myRadiusTrivial

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Scalar DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::myRadiusTrivial

protected

Stores the radius for the trivial normal estimator, which is used for finding the correct orientation inside/outside for the VCM.

Definition at line 245 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ mySurface

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

CountedConstPtrOrConstPtr< Surface > DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::mySurface

protected

(possibly secure) alias of the digital surface

Definition at line 235 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ mySurfel2Normals

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Surfel2Normals DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::mySurfel2Normals

protected

Stores for each surfel its vcm normal and its trivial normal.

Definition at line 249 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ mySurfelEmbedding

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

Surfel2PointEmbedding DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::mySurfelEmbedding

protected

The chosen embedding for the surfels.

Definition at line 237 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

◆ myVCM

template<typename TDigitalSurfaceContainer , typename TSeparableMetric , typename TKernelFunction >

VCM DGtal::VoronoiCovarianceMeasureOnDigitalSurface< TDigitalSurfaceContainer, TSeparableMetric, TKernelFunction >::myVCM

protected

Stores the voronoi covariance measure of the point embedding of the surface.

Definition at line 241 of file VoronoiCovarianceMeasureOnDigitalSurface.h.

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

VoronoiCovarianceMeasureOnDigitalSurface.h

Data Structures

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Member Typedef Documentation

◆ ConstIterator

◆ DigitalSurfaceContainer

◆ KernelFunction

◆ KSpace

◆ LinearAlgebraTool

◆ MatrixNN

◆ Metric

◆ Point

◆ Point2EigenStructure

◆ Scalar

◆ SCell

◆ Space

◆ Surface

◆ Surfel

◆ Surfel2Normals

◆ VCM

◆ VectorN

Constructor & Destructor Documentation

◆ ~VoronoiCovarianceMeasureOnDigitalSurface()

◆ VoronoiCovarianceMeasureOnDigitalSurface() [1/3]

◆ VoronoiCovarianceMeasureOnDigitalSurface() [2/3]

◆ VoronoiCovarianceMeasureOnDigitalSurface() [3/3]

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

◆ BOOST_CONCEPT_ASSERT() [2/3]

◆ BOOST_CONCEPT_ASSERT() [3/3]

◆ getChiVCMEigenStructure()

◆ getChiVCMEigenvalues()

◆ getPoints()

◆ isValid()

◆ mapPoint2ChiVCM()

◆ mapSurfel2Normals()

◆ operator=()

◆ R()

◆ r()

◆ radiusTrivial()

◆ selfDisplay()

◆ surface()

◆ surfelEmbedding()

Field Documentation

◆ myChi

◆ myPt2EigenStructure

◆ myRadiusTrivial

◆ mySurface

◆ mySurfel2Normals

◆ mySurfelEmbedding

◆ myVCM