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

Aim: A functor Real -> Real that returns the 2d curvature by transforming the given volume. This functor is valid only in 2D space. More...

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

Public Types
typedef IICurvatureFunctor< 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==2))
Value	operator() (const Argument &arg) const
void	init (Component h, Component r)

Private Attributes
Quantity	dh2
Quantity	d3_r
Quantity	dPI_2
Quantity	d1_r2

Detailed Description

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

Aim: A functor Real -> Real that returns the 2d curvature by transforming the given volume. This functor is valid only in 2D space.

Description of template class 'IICurvatureFunctor'

Template Parameters

TSpace

a model of CSpace, for instance SpaceND.

See also

IntegralInvariantVolumeEstimator

Definition at line 539 of file IIGeometricFunctors.h.

Member Typedef Documentation

Argument

template<typename TSpace >

Component DGtal::functors::IICurvatureFunctor< TSpace >::Argument

Definition at line 547 of file IIGeometricFunctors.h.

Component

template<typename TSpace >

RealVector::Component DGtal::functors::IICurvatureFunctor< TSpace >::Component

Definition at line 546 of file IIGeometricFunctors.h.

Quantity

template<typename TSpace >

Component DGtal::functors::IICurvatureFunctor< TSpace >::Quantity

Definition at line 548 of file IIGeometricFunctors.h.

RealVector

template<typename TSpace >

Space::RealVector DGtal::functors::IICurvatureFunctor< TSpace >::RealVector

Definition at line 545 of file IIGeometricFunctors.h.

Self

template<typename TSpace >

IICurvatureFunctor<TSpace> DGtal::functors::IICurvatureFunctor< TSpace >::Self

Definition at line 543 of file IIGeometricFunctors.h.

Space

template<typename TSpace >

TSpace DGtal::functors::IICurvatureFunctor< TSpace >::Space

Definition at line 544 of file IIGeometricFunctors.h.

Value

template<typename TSpace >

Quantity DGtal::functors::IICurvatureFunctor< TSpace >::Value

Definition at line 549 of file IIGeometricFunctors.h.

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename TSpace >

DGtal::functors::IICurvatureFunctor< TSpace >::BOOST_CONCEPT_ASSERT

(

(concepts::CSpace< TSpace >)

)

BOOST_STATIC_ASSERT()

template<typename TSpace >

DGtal::functors::IICurvatureFunctor< TSpace >::BOOST_STATIC_ASSERT

(

(Space::dimension==2)

)

init()

template<typename TSpace >

void DGtal::functors::IICurvatureFunctor< 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 573 of file IIGeometricFunctors.h.

      {
        d1_r2 = 1.0 / ( r * r );
        dPI_2 = M_PI / 2.0;
        d3_r = 3.0 / r;
        dh2 = h * h;
      }

References DGtal::functors::IICurvatureFunctor< TSpace >::d1_r2, DGtal::functors::IICurvatureFunctor< TSpace >::d3_r, DGtal::functors::IICurvatureFunctor< TSpace >::dh2, and DGtal::functors::IICurvatureFunctor< TSpace >::dPI_2.

operator()()

template<typename TSpace >

Value DGtal::functors::IICurvatureFunctor< 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 560 of file IIGeometricFunctors.h.

      {
        Quantity cp_quantity = arg;
        cp_quantity *= dh2;
        return d3_r * ( dPI_2 - d1_r2 * cp_quantity );
      }

References DGtal::functors::IICurvatureFunctor< TSpace >::d1_r2, DGtal::functors::IICurvatureFunctor< TSpace >::d3_r, DGtal::functors::IICurvatureFunctor< TSpace >::dh2, and DGtal::functors::IICurvatureFunctor< TSpace >::dPI_2.

Field Documentation

d1_r2

template<typename TSpace >

Quantity DGtal::functors::IICurvatureFunctor< TSpace >::d1_r2

private

Definition at line 585 of file IIGeometricFunctors.h.

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

d3_r

template<typename TSpace >

Quantity DGtal::functors::IICurvatureFunctor< TSpace >::d3_r

private

Definition at line 583 of file IIGeometricFunctors.h.

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

dh2

template<typename TSpace >

Quantity DGtal::functors::IICurvatureFunctor< TSpace >::dh2

private

Definition at line 582 of file IIGeometricFunctors.h.

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

dPI_2

template<typename TSpace >

Quantity DGtal::functors::IICurvatureFunctor< TSpace >::dPI_2

private

Definition at line 584 of file IIGeometricFunctors.h.

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

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

• IIGeometricFunctors.h