Ponca::MeanPosition< DataPoint, _WFunctor, T > Class Template Reference

Compute the barycenter of the input points. More...

#include <mean.h>

Inheritance diagram for Ponca::MeanPosition< DataPoint, _WFunctor, T >:

Collaboration diagram for Ponca::MeanPosition< DataPoint, _WFunctor, T >:

Public Types
using	Scalar = typename DataPoint::Scalar
	Alias to scalar type.
using	VectorType = typename Base::VectorType
	Alias to vector type.
using	WFunctor = typename Base::WFunctor
	Alias to weight function.

Public Member Functions
MeanPosition< DataPoint, _WFunctor, T > &	meanPosition ()
	Explicit conversion to MeanPosition , to access methods potentially hidden by heritage.
const MeanPosition< DataPoint, _WFunctor, T > &	meanPosition () const
	Explicit conversion to MeanPosition , to access methods potentially hidden by heritage.
void	init ()
	Set the evaluation position and reset the internal states.
bool	addLocalNeighbor (Scalar w, const VectorType &localQ, const DataPoint &attributes)
	Add a neighbor to perform the fit.
VectorType	barycenter () const
	Barycenter of the input points expressed in the global frame.
Scalar	barycenterDistance () const
	The distance between the barycenter and the basis center.

Protected Types
enum	{ PROVIDES_MEAN_POSITION }
using	Base = T
	Base class of the procedure.

Protected Member Functions
VectorType	barycenterLocal () const
	Barycenter of the input points expressed in the local frame.

Protected Attributes
VectorType	m_sumP {VectorType::Zero()}
	Sum of the input points vectors.

Detailed Description

template<class DataPoint, class _WFunctor, typename T>
class Ponca::MeanPosition< DataPoint, _WFunctor, T >

Compute the barycenter of the input points.

Warning

The barycenter is not stored explicitly, but rather computed from the sum of the neighbors positions.

This primitive provides:

PROVIDES_MEAN_POSITION 

Definition at line 24 of file mean.h.

Member Typedef Documentation

Base

template<class DataPoint , class _WFunctor , typename T >

using Ponca::MeanPosition< DataPoint, _WFunctor, T >::Base = T

protected

Base class of the procedure.

Definition at line 25 of file mean.h.

Scalar

template<class DataPoint , class _WFunctor , typename T >

using Ponca::MeanPosition< DataPoint, _WFunctor, T >::Scalar = typename DataPoint::Scalar

Alias to scalar type.

Definition at line 25 of file mean.h.

VectorType

template<class DataPoint , class _WFunctor , typename T >

using Ponca::MeanPosition< DataPoint, _WFunctor, T >::VectorType = typename Base::VectorType

Alias to vector type.

Definition at line 25 of file mean.h.

WFunctor

template<class DataPoint , class _WFunctor , typename T >

using Ponca::MeanPosition< DataPoint, _WFunctor, T >::WFunctor = typename Base::WFunctor

Alias to weight function.

Definition at line 25 of file mean.h.

Member Enumeration Documentation

anonymous enum

template<class DataPoint , class _WFunctor , typename T >

anonymous enum

protected

Definition at line 28 of file mean.h.

Member Function Documentation

addLocalNeighbor()

template<class DataPoint , class _WFunctor , typename T >

bool MeanPosition::addLocalNeighbor ( Scalar  w, const VectorType &  localQ, const DataPoint &  attributes  )

inline

Add a neighbor to perform the fit.

Returns

false if param nei is not a valid neighbour (weight = 0)

Definition at line 19 of file mean.hpp.

barycenter()

template<class DataPoint , class _WFunctor , typename T >

VectorType Ponca::MeanPosition< DataPoint, _WFunctor, T >::barycenter ( ) const

inline

Barycenter of the input points expressed in the global frame.

Defined as \( b(\mathbf{x}) = \frac{\sum_i w_\mathbf{x}(\mathbf{p_i}) \mathbf{p_i}}{\sum_i w_\mathbf{x}(\mathbf{p_i})} \), where \(\left[\mathbf{p_i} \in \text{neighborhood}(\mathbf{x})\right]\) are all the point samples in \(\mathbf{x}\)'s neighborhood

Definition at line 40 of file mean.h.

barycenterDistance()

template<class DataPoint , class _WFunctor , typename T >

Scalar Ponca::MeanPosition< DataPoint, _WFunctor, T >::barycenterDistance ( ) const

inline

The distance between the barycenter and the basis center.

Returns

0 for invalid fits

Definition at line 47 of file mean.h.

barycenterLocal()

template<class DataPoint , class _WFunctor , typename T >

VectorType Ponca::MeanPosition< DataPoint, _WFunctor, T >::barycenterLocal ( ) const

inlineprotected

Barycenter of the input points expressed in the local frame.

See also

barycenter()

Warning

Provided for internal use only: any access to the barycenter in other computing classes must be done using this function and not barycenter()

Defined as \( b(\mathbf{x}) = \frac{\sum_i w_\mathbf{x}(\mathbf{p_i}) \mathbf{p_i}}{\sum_i w_\mathbf{x}(\mathbf{p_i})} \), where \(\left[\mathbf{p_i} \in \text{neighborhood}(\mathbf{x})\right]\) are all the point samples in \(\mathbf{x}\)'s neighborhood

Definition at line 61 of file mean.h.

init()

template<class DataPoint , class _WFunctor , typename T >

void MeanPosition::init ( )

inline

Set the evaluation position and reset the internal states.

Warning

Must be called be for any computation (but after #setWeightFunc)

Definition at line 12 of file mean.hpp.

meanPosition() [1/2]

template<class DataPoint , class _WFunctor , typename T >

MeanPosition< DataPoint, _WFunctor, T > & Ponca::MeanPosition< DataPoint, _WFunctor, T >::meanPosition ( )

inline

Explicit conversion to MeanPosition , to access methods potentially hidden by heritage.

Definition at line 32 of file mean.h.

meanPosition() [2/2]

template<class DataPoint , class _WFunctor , typename T >

const MeanPosition< DataPoint, _WFunctor, T > & Ponca::MeanPosition< DataPoint, _WFunctor, T >::meanPosition ( ) const

inline

Explicit conversion to MeanPosition , to access methods potentially hidden by heritage.

Definition at line 32 of file mean.h.

Member Data Documentation

m_sumP

template<class DataPoint , class _WFunctor , typename T >

VectorType Ponca::MeanPosition< DataPoint, _WFunctor, T >::m_sumP {VectorType::Zero()}

protected

Sum of the input points vectors.

Definition at line 29 of file mean.h.