Ponca::NoWeightFunc< DataPoint > Class Template Reference

Weighting function that set uniform weight to all samples. More...

#include <weightFunc.h>

Collaboration diagram for Ponca::NoWeightFunc< DataPoint >:

Public Types
using	Scalar = typename DataPoint::Scalar
	Scalar type from DataPoint.
using	VectorType = typename DataPoint::VectorType
	Vector type from DataPoint.
using	MatrixType = typename DataPoint::MatrixType
	Matrix type from DataPoint.
using	WeightReturnType = std::pair< Scalar, VectorType >
	Return type of the method w()

Public Member Functions
	NoWeightFunc (const Scalar &=Scalar(0))
	Constructor that defines the current evaluation scale.
void	init (const VectorType &_evalPos=VectorType::Zero())
	Initialization method, called by the fitting procedure.
const VectorType &	basisCenter () const
VectorType	convertToLocalBasis (const VectorType &_q) const
	Convert query from global to local coordinate system.
WeightReturnType	w (const VectorType &_q, const DataPoint &) const
	Compute the weight of the given query, which is always $1$.
VectorType	spacedw (const VectorType &, const DataPoint &) const
	First order derivative in space (for each spatial dimension \(\mathsf{x})\), which are always $0$.
MatrixType	spaced2w (const VectorType &, const DataPoint &) const
	Second order derivative in space (for each spatial dimension \(\mathsf{x})\), which are always $0$.
Scalar	scaledw (const VectorType &, const DataPoint &) const
	First order derivative in scale \(t\), which are always $0$.
Scalar	scaled2w (const VectorType &, const DataPoint &) const
	Second order derivative in scale \(t\), which are always $0$.
VectorType	scaleSpaced2w (const VectorType &, const DataPoint &) const
	Cross derivative in scale \(t\) and in space (for each spatial dimension \(\mathsf{x})\), which are always $0$.

Detailed Description

template<class DataPoint>
class Ponca::NoWeightFunc< DataPoint >

Weighting function that set uniform weight to all samples.

In contrast to DistWeightFunc with ConstantWeight, it does not check for scale range. It still performs local basis conversion to maintain computation accuracy

Definition at line 219 of file weightFunc.h.

Member Typedef Documentation

MatrixType

template<class DataPoint >

using Ponca::NoWeightFunc< DataPoint >::MatrixType = typename DataPoint::MatrixType

Matrix type from DataPoint.

Definition at line 227 of file weightFunc.h.

Scalar

template<class DataPoint >

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

Scalar type from DataPoint.

Definition at line 223 of file weightFunc.h.

VectorType

template<class DataPoint >

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

Vector type from DataPoint.

Definition at line 225 of file weightFunc.h.

WeightReturnType

template<class DataPoint >

using Ponca::NoWeightFunc< DataPoint >::WeightReturnType = std:: pair <Scalar, VectorType>

Return type of the method w()

Definition at line 229 of file weightFunc.h.

Constructor & Destructor Documentation

NoWeightFunc()

template<class DataPoint >

Ponca::NoWeightFunc< DataPoint >::NoWeightFunc ( const Scalar &  = Scalar(0) )

inline

Constructor that defines the current evaluation scale.

Definition at line 234 of file weightFunc.h.

Member Function Documentation

basisCenter()

template<class DataPoint >

const VectorType & Ponca::NoWeightFunc< DataPoint >::basisCenter ( ) const

inline

Definition at line 242 of file weightFunc.h.

convertToLocalBasis()

template<class DataPoint >

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

inline

Convert query from global to local coordinate system.

Definition at line 246 of file weightFunc.h.

init()

template<class DataPoint >

void Ponca::NoWeightFunc< DataPoint >::init ( const VectorType &  _evalPos = VectorType::Zero() )

inline

Initialization method, called by the fitting procedure.

Parameters

_evalPos

Basis center

Definition at line 240 of file weightFunc.h.

scaled2w()

template<class DataPoint >

Scalar Ponca::NoWeightFunc< DataPoint >::scaled2w ( const VectorType &  , const DataPoint &    ) const

inline

Second order derivative in scale \(t\), which are always $0$.

Parameters

_q	Query in global coordinate

Definition at line 290 of file weightFunc.h.

scaledw()

template<class DataPoint >

Scalar Ponca::NoWeightFunc< DataPoint >::scaledw ( const VectorType &  , const DataPoint &    ) const

inline

First order derivative in scale \(t\), which are always $0$.

Parameters

_q	Query in global coordinate

Definition at line 282 of file weightFunc.h.

scaleSpaced2w()

template<class DataPoint >

VectorType Ponca::NoWeightFunc< DataPoint >::scaleSpaced2w ( const VectorType &  , const DataPoint &    ) const

inline

Cross derivative in scale \(t\) and in space (for each spatial dimension \(\mathsf{x})\), which are always $0$.

Parameters

_q	Query in global coordinate

Definition at line 299 of file weightFunc.h.

spaced2w()

template<class DataPoint >

MatrixType Ponca::NoWeightFunc< DataPoint >::spaced2w ( const VectorType &  , const DataPoint &    ) const

inline

Second order derivative in space (for each spatial dimension \(\mathsf{x})\), which are always $0$.

Parameters

_q	Query in global coordinate

Definition at line 274 of file weightFunc.h.

spacedw()

template<class DataPoint >

VectorType Ponca::NoWeightFunc< DataPoint >::spacedw ( const VectorType &  , const DataPoint &    ) const

inline

First order derivative in space (for each spatial dimension \(\mathsf{x})\), which are always $0$.

Parameters

_q	Query in global coordinate

Definition at line 265 of file weightFunc.h.

w()

template<class DataPoint >

WeightReturnType Ponca::NoWeightFunc< DataPoint >::w ( const VectorType &  _q, const DataPoint &    ) const

inline

Compute the weight of the given query, which is always $1$.

Parameters

_q	Query in global coordinate

Definition at line 253 of file weightFunc.h.