Ponca::CenteredNeighborhoodFrame< DataPoint > Class Template Reference

NeighborhoodFrame that express 3d points relatively to a prescribed center. More...

#include <weightFunc.h>

Inheritance diagram for Ponca::CenteredNeighborhoodFrame< DataPoint >:

Collaboration diagram for Ponca::CenteredNeighborhoodFrame< DataPoint >:

Public Types
using	Scalar = typename DataPoint::Scalar
	Scalar type from DataPoint.
using	VectorType = typename DataPoint::VectorType
	Vector type from DataPoint.

Public Member Functions
	CenteredNeighborhoodFrame (const VectorType &_evalPos=VectorType::Zero())
void	changeNeighborhoodFrame (const VectorType &_newEvalPos)
	Change neighborhood frame (move basis center)
VectorType	convertToGlobalBasis (const VectorType &_q) const
	Convert query from local to global coordinate system, such as \(\mathbf{x}=\mathbf{x}'+\mathbf{p}\).
VectorType	convertToLocalBasis (const VectorType &_q) const
	Convert query from global to local coordinate system, such as \(\mathbf{x}'=\mathbf{x}-\mathbf{p}\).
VectorType	evalPos () const
	Get access to the stored points of evaluation.

Static Public Attributes
static constexpr bool	hasLocalFrame = true
	Flag indicating that this class modifies the coordinates when passing from global to local.

Detailed Description

template<class DataPoint>
class Ponca::CenteredNeighborhoodFrame< DataPoint >

NeighborhoodFrame that express 3d points relatively to a prescribed center.

This class is useful to get all coordinates centered around a point, which ease weights computation, and limits issues with big numbers and rounding errors.

Express points \(\mathbf{x}\) relatively to a center \(\mathbf{p}\), ie. \(\mathbf{x}'=\mathbf{x}-\mathbf{p}\). This frame does not apply rotation.

Template Parameters

DataPoint

Point type used for computation

Definition at line 27 of file weightFunc.h.

Member Typedef Documentation

Scalar

template<class DataPoint >

using Ponca::CenteredNeighborhoodFrame< DataPoint >::Scalar = typename DataPoint::Scalar

Scalar type from DataPoint.

Definition at line 30 of file weightFunc.h.

VectorType

template<class DataPoint >

using Ponca::CenteredNeighborhoodFrame< DataPoint >::VectorType = typename DataPoint::VectorType

Vector type from DataPoint.

Definition at line 32 of file weightFunc.h.

Constructor & Destructor Documentation

CenteredNeighborhoodFrame()

template<class DataPoint >

Ponca::CenteredNeighborhoodFrame< DataPoint >::CenteredNeighborhoodFrame ( const VectorType &  _evalPos = VectorType::Zero() )

inlineexplicit

Definition at line 37 of file weightFunc.h.

Member Function Documentation

changeNeighborhoodFrame()

template<class DataPoint >

void Ponca::CenteredNeighborhoodFrame< DataPoint >::changeNeighborhoodFrame ( const VectorType &  _newEvalPos )

inline

Change neighborhood frame (move basis center)

Definition at line 41 of file weightFunc.h.

convertToGlobalBasis()

template<class DataPoint >

VectorType Ponca::CenteredNeighborhoodFrame< DataPoint >::convertToGlobalBasis ( const VectorType &  _q ) const

inline

Convert query from local to global coordinate system, such as \(\mathbf{x}=\mathbf{x}'+\mathbf{p}\).

Parameters

_q	Position expressed relatively to the basis center

Returns

Position in the global coordinate system

Definition at line 48 of file weightFunc.h.

convertToLocalBasis()

template<class DataPoint >

VectorType Ponca::CenteredNeighborhoodFrame< DataPoint >::convertToLocalBasis ( const VectorType &  _q ) const

inline

Convert query from global to local coordinate system, such as \(\mathbf{x}'=\mathbf{x}-\mathbf{p}\).

Parameters

_q	Input point in global coordinate system

Returns

Position expressed relatively to the basis center

Definition at line 56 of file weightFunc.h.

evalPos()

template<class DataPoint >

VectorType Ponca::CenteredNeighborhoodFrame< DataPoint >::evalPos ( ) const

inline

Get access to the stored points of evaluation.

Returns

Position of the local basis center

Definition at line 62 of file weightFunc.h.

Member Data Documentation

hasLocalFrame

template<class DataPoint >

constexpr bool Ponca::CenteredNeighborhoodFrame< DataPoint >::hasLocalFrame = true

staticconstexpr

Flag indicating that this class modifies the coordinates when passing from global to local.

Definition at line 35 of file weightFunc.h.