DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder > Class Template Reference

Aim: Estimates normal vector by convolution of elementary normal vector to adjacent surfel. More...

#include <DGtal/geometry/surfaces/estimation/estimationFunctors/ElementaryConvolutionNormalVectorEstimator.h>

Public Types
typedef TSurfel	Surfel
typedef TEmbedder	SCellEmbedder
typedef SCellEmbedder::RealPoint	RealPoint
typedef RealPoint	Quantity

Public Member Functions
	ElementaryConvolutionNormalVectorEstimator (ConstAlias< SCellEmbedder > anEmbedder, const double h)
void	pushSurfel (const Surfel &aSurf, const double aDistance)
Quantity	eval ()
void	reset ()

Private Attributes
const SCellEmbedder *	myEmbedder
	Alias of the geometrical embedder.
RealPoint	myWeightedVector
	Array of CGAL points.
double	myH

Detailed Description

template<typename TSurfel, typename TEmbedder>
class DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >

Aim: Estimates normal vector by convolution of elementary normal vector to adjacent surfel.

Description of template class 'ElementaryConvolutionNormalVectorEstimator'

To each \(n-1\) signed surfel, an elementary inward normal vector can be defined. At a given surfel, this functor will compute the weighted average of elementary normal vectors in the neighborihood.

Model of CLocalEstimatorFromSurfelFunctor.

Template Parameters

TSurfel	type of surfels
TEmbedder	type of functors which embed surfel to \( \mathbb{R}^3\)

Definition at line 75 of file ElementaryConvolutionNormalVectorEstimator.h.

Member Typedef Documentation

Quantity

template<typename TSurfel , typename TEmbedder >

typedef RealPoint DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::Quantity

Definition at line 82 of file ElementaryConvolutionNormalVectorEstimator.h.

RealPoint

template<typename TSurfel , typename TEmbedder >

typedef SCellEmbedder::RealPoint DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::RealPoint

Definition at line 81 of file ElementaryConvolutionNormalVectorEstimator.h.

SCellEmbedder

template<typename TSurfel , typename TEmbedder >

typedef TEmbedder DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::SCellEmbedder

Definition at line 80 of file ElementaryConvolutionNormalVectorEstimator.h.

Surfel

template<typename TSurfel , typename TEmbedder >

typedef TSurfel DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::Surfel

Definition at line 79 of file ElementaryConvolutionNormalVectorEstimator.h.

Constructor & Destructor Documentation

ElementaryConvolutionNormalVectorEstimator()

template<typename TSurfel , typename TEmbedder >

DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::ElementaryConvolutionNormalVectorEstimator ( ConstAlias< SCellEmbedder > anEmbedder, const double h )

inline

Constructor.

Parameters

anEmbedder	embedder to map surfel to R^n.
h	grid step

Definition at line 90 of file ElementaryConvolutionNormalVectorEstimator.h.

                                                              :
      myEmbedder(&anEmbedder), myH(h)
    {
    }

Member Function Documentation

eval()

template<typename TSurfel , typename TEmbedder >

Quantity DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::eval ( )

inline

Evaluate the normal vector from Monge form.

Returns

the mean curvature

Definition at line 117 of file ElementaryConvolutionNormalVectorEstimator.h.

    {
      return myWeightedVector.getNormalized();
    }

References DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::myWeightedVector.

pushSurfel()

template<typename TSurfel , typename TEmbedder >

void DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::pushSurfel ( const Surfel & aSurf, const double aDistance )

inline

Add the geometrical embedding of a surfel to the point list

Parameters

aSurf	a surfel to add
aDistance	distance of aSurf to the neighborhood boundary

Definition at line 102 of file ElementaryConvolutionNormalVectorEstimator.h.

    {
      RealPoint elementary;
      Dimension i = myEmbedder->space().sOrthDir ( aSurf );
      elementary[ i ] = myEmbedder->space().sDirect ( aSurf, i ) ? 1 : -1;
 
      myWeightedVector += aDistance *elementary;
    }

References DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::myEmbedder, and DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::myWeightedVector.

reset()

template<typename TSurfel , typename TEmbedder >

void DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::reset ( )

inline

Reset the point list.

Definition at line 126 of file ElementaryConvolutionNormalVectorEstimator.h.

    {
      myWeightedVector = RealPoint().diagonal(0.0);
    }

References DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::myWeightedVector.

Field Documentation

myEmbedder

template<typename TSurfel , typename TEmbedder >

const SCellEmbedder* DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::myEmbedder

private

Alias of the geometrical embedder.

Definition at line 135 of file ElementaryConvolutionNormalVectorEstimator.h.

Referenced by DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::pushSurfel().

myH

template<typename TSurfel , typename TEmbedder >

double DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::myH

private

Definition at line 141 of file ElementaryConvolutionNormalVectorEstimator.h.

myWeightedVector

template<typename TSurfel , typename TEmbedder >

RealPoint DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::myWeightedVector

private

Array of CGAL points.

Definition at line 138 of file ElementaryConvolutionNormalVectorEstimator.h.

Referenced by DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::eval(), DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::pushSurfel(), and DGtal::functors::ElementaryConvolutionNormalVectorEstimator< TSurfel, TEmbedder >::reset().

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

• ElementaryConvolutionNormalVectorEstimator.h