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 (const VectorType &_evalPos)
	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.

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.

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 54 of file mean.h.

init()

template<class DataPoint , class _WFunctor , typename T >

void MeanPosition::init ( const VectorType &  _evalPos )

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.