DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix > Class Template Reference

Aim: A functor Matrix -> RealVector that returns the normal direction by diagonalizing the given covariance matrix. More...

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

Public Types
typedef IINormalDirectionFunctor< TSpace >	Self
typedef TSpace	Space
typedef Space::RealVector	RealVector
typedef RealVector::Component	Component
typedef TMatrix	Matrix
typedef Matrix	Argument
typedef RealVector	Quantity
typedef Quantity	Value

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CMatrix< Matrix >))
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))
	IINormalDirectionFunctor ()
	Default constructor. More...
	IINormalDirectionFunctor (const Self &)
	Copy constructor. Nothing to do. More...
Self &	operator= (const Self &)
Value	operator() (const Argument &arg) const
void	init (Component, Component)

Private Attributes
Matrix	eigenVectors
	A data member only used for temporary calculations. More...
RealVector	eigenValues
	A data member only used for temporary calculations. More...

Detailed Description

template<typename TSpace, typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>
class DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >

Aim: A functor Matrix -> RealVector that returns the normal direction by diagonalizing the given covariance matrix.

Description of template class 'IINormalDirectionFunctor'

Template Parameters

TSpace	a model of CSpace, for instance SpaceND.
TMatrix	a model of CMatrix, for instance SimpleMatrix.

See also

IntegralInvariantCovarianceEstimator

Examples

dec/exampleHeatLaplace.cpp.

Definition at line 67 of file IIGeometricFunctors.h.

Member Typedef Documentation

Argument

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef Matrix DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::Argument

Definition at line 76 of file IIGeometricFunctors.h.

Component

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef RealVector::Component DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::Component

Definition at line 74 of file IIGeometricFunctors.h.

Matrix

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef TMatrix DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::Matrix

Definition at line 75 of file IIGeometricFunctors.h.

Quantity

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef RealVector DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::Quantity

Definition at line 77 of file IIGeometricFunctors.h.

RealVector

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef Space::RealVector DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::RealVector

Definition at line 73 of file IIGeometricFunctors.h.

Self

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef IINormalDirectionFunctor<TSpace> DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::Self

Definition at line 71 of file IIGeometricFunctors.h.

Space

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef TSpace DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::Space

Definition at line 72 of file IIGeometricFunctors.h.

Value

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

typedef Quantity DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::Value

Definition at line 78 of file IIGeometricFunctors.h.

Constructor & Destructor Documentation

IINormalDirectionFunctor() [1/2]

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::IINormalDirectionFunctor ( )

inline

Default constructor.

Definition at line 84 of file IIGeometricFunctors.h.

{}

IINormalDirectionFunctor() [2/2]

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::IINormalDirectionFunctor ( const Self &  )

inline

Copy constructor. Nothing to do.

Definition at line 86 of file IIGeometricFunctors.h.

{}

Member Function Documentation

BOOST_CONCEPT_ASSERT() [1/2]

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::BOOST_CONCEPT_ASSERT

(

(concepts::CMatrix< Matrix >)

)

BOOST_CONCEPT_ASSERT() [2/2]

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::BOOST_CONCEPT_ASSERT

(

(concepts::CSpace< TSpace >)

)

init()

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

void DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::init ( Component  , Component    )

inline

Initializes the functor with the gridstep and the ball Euclidean radius. Not used for this estimator.

Definition at line 118 of file IIGeometricFunctors.h.

{}

operator()()

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

Value DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::operator() ( const Argument &  arg ) const

inline

Apply operator.

Parameters

arg	any symmetric positive matrix (covariance matrix

Returns

the normal direction for the II covariance matrix, which is the eigenvector associated with the smallest eigenvalue.

Definition at line 98 of file IIGeometricFunctors.h.

      {
        EigenDecomposition<Space::dimension, Component, Matrix>
          ::getEigenDecomposition( arg, eigenVectors, eigenValues );
 
        ASSERT ( !std::isnan(eigenValues[0]) ); // NaN
#ifdef DEBUG
        for( Dimension i_dim = 1; i_dim < Space::dimension; ++i_dim )
        {
          ASSERT ( std::abs(eigenValues[i_dim - 1]) <= std::abs(eigenValues[i_dim]) );
        }
#endif
 
        return eigenVectors.column( 0 ); // normal vector is associated to smallest eigenvalue.
      }

References DGtal::SpaceND< dim, TInteger >::dimension, DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::eigenValues, and DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::eigenVectors.

operator=()

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

Self & DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::operator= ( const Self &  )

inline

Assignment. Nothing to do.

Returns

itself

Definition at line 89 of file IIGeometricFunctors.h.

{ return *this; }

Field Documentation

eigenValues

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

RealVector DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::eigenValues

mutableprivate

A data member only used for temporary calculations.

Definition at line 124 of file IIGeometricFunctors.h.

Referenced by DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::operator()().

eigenVectors

template<typename TSpace , typename TMatrix = SimpleMatrix< typename TSpace::RealVector::Component, TSpace::dimension, TSpace::dimension>>

Matrix DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::eigenVectors

mutableprivate

A data member only used for temporary calculations.

Definition at line 122 of file IIGeometricFunctors.h.

Referenced by DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::operator()().

---

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

• IIGeometricFunctors.h