DGtal::functors::IIMeanCurvature3DFunctor< TSpace > Struct Template Reference

Aim: A functor Real -> Real that returns the 3d mean curvature by transforming the given volume. This functor is valid only in 3D space. More...

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

Public Types
typedef IIMeanCurvature3DFunctor< TSpace >	Self
typedef TSpace	Space
typedef Space::RealVector	RealVector
typedef RealVector::Component	Component
typedef Component	Argument
typedef Component	Quantity
typedef Quantity	Value

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))
	BOOST_STATIC_ASSERT ((Space::dimension==3))
Value	operator() (const Argument &arg) const
void	init (Component h, Component r)

Private Attributes
Quantity	dh3
Quantity	d8_3r
Quantity	d_4_PIr4

Detailed Description

template<typename TSpace>
struct DGtal::functors::IIMeanCurvature3DFunctor< TSpace >

Aim: A functor Real -> Real that returns the 3d mean curvature by transforming the given volume. This functor is valid only in 3D space.

Description of template class 'IIMeanCurvature3DFunctor'

Template Parameters

TSpace

a model of CSpace, for instance SpaceND.

See also

IntegralInvariantVolumeEstimator

Definition at line 602 of file IIGeometricFunctors.h.

Member Typedef Documentation

Argument

template<typename TSpace >

typedef Component DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::Argument

Definition at line 610 of file IIGeometricFunctors.h.

Component

template<typename TSpace >

typedef RealVector::Component DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::Component

Definition at line 609 of file IIGeometricFunctors.h.

Quantity

template<typename TSpace >

typedef Component DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::Quantity

Definition at line 611 of file IIGeometricFunctors.h.

RealVector

template<typename TSpace >

typedef Space::RealVector DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::RealVector

Definition at line 608 of file IIGeometricFunctors.h.

Self

template<typename TSpace >

typedef IIMeanCurvature3DFunctor<TSpace> DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::Self

Definition at line 606 of file IIGeometricFunctors.h.

Space

template<typename TSpace >

typedef TSpace DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::Space

Definition at line 607 of file IIGeometricFunctors.h.

Value

template<typename TSpace >

typedef Quantity DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::Value

Definition at line 612 of file IIGeometricFunctors.h.

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename TSpace >

DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::BOOST_CONCEPT_ASSERT

(

(concepts::CSpace< TSpace >)

)

BOOST_STATIC_ASSERT()

template<typename TSpace >

DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::BOOST_STATIC_ASSERT

(

(Space::dimension==3)

)

init()

template<typename TSpace >

void DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::init ( Component  h, Component  r  )

inline

Initializes the functor with the gridstep and the ball Euclidean radius.

Parameters

h	the gridstep
r	the ball radius

Definition at line 636 of file IIGeometricFunctors.h.

      {
        d8_3r = 8.0 / ( 3.0 * r );
        double r2 = r * r;
        d_4_PIr4 = 4.0 / ( M_PI * r2 * r2 );
        dh3 = h * h * h;
      }

References DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::d8_3r, DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::d_4_PIr4, and DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::dh3.

operator()()

template<typename TSpace >

Value DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::operator() ( const Argument &  arg ) const

inline

Apply operator.

Parameters

arg	any symmetric positive matrix (covariance matrix

Returns

the curvature associated with the II area measurement.

Definition at line 623 of file IIGeometricFunctors.h.

      {
        Quantity cp_quantity = arg;
        cp_quantity *= dh3;
        return d8_3r - d_4_PIr4 * cp_quantity;
      }

References DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::d8_3r, DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::d_4_PIr4, and DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::dh3.

Field Documentation

d8_3r

template<typename TSpace >

Quantity DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::d8_3r

private

Definition at line 646 of file IIGeometricFunctors.h.

Referenced by DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::init(), and DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::operator()().

d_4_PIr4

template<typename TSpace >

Quantity DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::d_4_PIr4

private

Definition at line 647 of file IIGeometricFunctors.h.

Referenced by DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::init(), and DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::operator()().

dh3

template<typename TSpace >

Quantity DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::dh3

private

Definition at line 645 of file IIGeometricFunctors.h.

Referenced by DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::init(), and DGtal::functors::IIMeanCurvature3DFunctor< TSpace >::operator()().

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

• IIGeometricFunctors.h