#include <orientedSphereFit.h>

Inheritance diagram for Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >:

Collaboration diagram for Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >:

Public Types
using	Scalar = typename DataPoint::Scalar
	Alias to scalar type.
using	VectorType = typename Base::VectorType
	Alias to vector type.
using	NeighborFilter = typename Base::NeighborFilter
	Alias to the filter applied on the neighbors.
using	ScalarArray = typename Base::ScalarArray
	Alias to scalar derivatives array.
using	VectorArray = typename Base::VectorArray
	Alias to vector derivatives array.

Public Member Functions
OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > &	orientedSphereDer ()
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.
const OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > &	orientedSphereDer () const
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.
OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > &	algebraicSphereDer ()
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.
const OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > &	algebraicSphereDer () const
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.
OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > &	implicitPrimitiveDer ()
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.
const OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > &	implicitPrimitiveDer () const
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.
void	init ()
	Set the evaluation position and reset the internal states.
void	addLocalNeighbor (Scalar w, const VectorType &localQ, const DataPoint &attributes, ScalarArray &dw)
	Add a neighbor to perform the fit.
FIT_RESULT	finalize ()
ScalarArray	dPotential () const
	Returns the derivatives of the scalar field at the evaluation point.
VectorArray	dNormal () const
	Returns the derivatives of the primitive normal.
ScalarArray	dprattNorm2 () const
	compute the square of the Pratt norm derivative
Scalar	dprattNorm2 (unsigned int _d) const
	compute the square of the Pratt norm derivative for dimension _d
Scalar	dprattNorm (unsigned int _d) const
	compute the Pratt norm derivative for the dimension _d
ScalarArray	dprattNorm () const
	compute the Pratt norm derivative
bool	applyPrattNorm ()
	Normalize the scalar field by the Pratt norm.

Public Attributes
ScalarArray	m_dUc {ScalarArray::Zero()}
	Derivatives of the hyper-sphere constant term.
ScalarArray	m_dUq {ScalarArray::Zero()}
	Derivatives of the hyper-sphere quadratic term.
VectorArray	m_dUl {VectorArray::Zero()}
	Derivatives of the hyper-sphere linear term.

Protected Types
using	Base = T
	Base class of the procedure.

Protected Attributes
VectorArray	m_dSumN {VectorArray::Zero()}
	Sum of the normal vectors with weight derivatives.
ScalarArray	m_dSumDotPN {ScalarArray::Zero()}
	Sum of the dot product between relative positions and normals with weight derivatives.
ScalarArray	m_dSumDotPP
	Sum of the squared relative positions with weight derivatives.
ScalarArray	m_dNume {ScalarArray::Zero()}
	Derivatives of the numerator of the quadratic parameter.
ScalarArray	m_dDeno {ScalarArray::Zero()}
	Derivatives of the denominator of the quadratic parameter.

Detailed Description

template<class DataPoint, class _NFilter, int DiffType, typename T>
requires ProvidesBasketDiffUnitBase<T>&& ProvidesAlgebraicSphere<T>&& ProvidesMeanPositionDerivative<T>
class Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >

[OrientedSphereFit Definition]

Internal generic class performing the Fit derivation

Definition at line 63 of file orientedSphereFit.h.

Member Typedef Documentation

◆ Base

template<class DataPoint, class _NFilter, int DiffType, typename T>

using Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::Base = T

protected

Base class of the procedure.

Definition at line 65 of file orientedSphereFit.h.

◆ NeighborFilter

template<class DataPoint, class _NFilter, int DiffType, typename T>

using Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::NeighborFilter = typename Base::NeighborFilter

Alias to the filter applied on the neighbors.

Definition at line 65 of file orientedSphereFit.h.

◆ Scalar

template<class DataPoint, class _NFilter, int DiffType, typename T>

using Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::Scalar = typename DataPoint::Scalar

Alias to scalar type.

Definition at line 65 of file orientedSphereFit.h.

◆ ScalarArray

template<class DataPoint, class _NFilter, int DiffType, typename T>

using Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::ScalarArray = typename Base::ScalarArray

Alias to scalar derivatives array.

Definition at line 66 of file orientedSphereFit.h.

◆ VectorArray

template<class DataPoint, class _NFilter, int DiffType, typename T>

using Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::VectorArray = typename Base::VectorArray

Alias to vector derivatives array.

Definition at line 66 of file orientedSphereFit.h.

◆ VectorType

template<class DataPoint, class _NFilter, int DiffType, typename T>

using Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::VectorType = typename Base::VectorType

Alias to vector type.

Definition at line 65 of file orientedSphereFit.h.

Member Function Documentation

◆ addLocalNeighbor()

template<class DataPoint, class _NFilter, int DiffType, typename T>
requires ProvidesBasketDiffUnitBase<T>&& ProvidesAlgebraicSphere<T>&& ProvidesMeanPositionDerivative<T>

void OrientedSphereDerImpl::addLocalNeighbor	(	Scalar	w,
		const VectorType &	localQ,
		const DataPoint &	attributes,
		ScalarArray &	dw )

inline

Add a neighbor to perform the fit.

Definition at line 102 of file orientedSphereFit.h.

◆ algebraicSphereDer() [1/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > & Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::algebraicSphereDer ( )

inline

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

Definition at line 86 of file orientedSphereFit.h.

◆ algebraicSphereDer() [2/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

const OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > & Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::algebraicSphereDer ( ) const

inline

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

Definition at line 86 of file orientedSphereFit.h.

◆ applyPrattNorm()

template<class DataPoint, class _NFilter, int DiffType, typename T>
requires ProvidesBasketDiffUnitBase<T>&& ProvidesAlgebraicSphere<T>&& ProvidesMeanPositionDerivative<T>

bool OrientedSphereDerImpl::applyPrattNorm ( )

inlinenodiscard

Normalize the scalar field by the Pratt norm.

Warning: Requires that isNormalized() return false

Returns: false when the original sphere has already been normalized.

Definition at line 182 of file orientedSphereFit.h.

◆ dNormal()

template<class DataPoint, class _NFilter, int DiffType, typename T>
requires ProvidesBasketDiffUnitBase<T>&& ProvidesAlgebraicSphere<T>&& ProvidesMeanPositionDerivative<T>

OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::VectorArray OrientedSphereDerImpl::dNormal ( ) const

inlinenodiscard

Returns the derivatives of the primitive normal.

Definition at line 156 of file orientedSphereFit.h.

◆ dPotential()

template<class DataPoint, class _NFilter, int DiffType, typename T>
requires ProvidesBasketDiffUnitBase<T>&& ProvidesAlgebraicSphere<T>&& ProvidesMeanPositionDerivative<T>

OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::ScalarArray OrientedSphereDerImpl::dPotential ( ) const

inlinenodiscard

Returns the derivatives of the scalar field at the evaluation point.

Definition at line 172 of file orientedSphereFit.h.

◆ dprattNorm() [1/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::dprattNorm ( ) const

inlinenodiscard

compute the Pratt norm derivative

Definition at line 119 of file orientedSphereFit.h.

◆ dprattNorm() [2/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

Scalar Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::dprattNorm ( unsigned int _d ) const

inlinenodiscard

compute the Pratt norm derivative for the dimension _d

Definition at line 112 of file orientedSphereFit.h.

◆ dprattNorm2() [1/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::dprattNorm2 ( ) const

inlinenodiscard

compute the square of the Pratt norm derivative

Definition at line 98 of file orientedSphereFit.h.

◆ dprattNorm2() [2/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

Scalar Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::dprattNorm2 ( unsigned int _d ) const

inlinenodiscard

compute the square of the Pratt norm derivative for dimension _d

Definition at line 105 of file orientedSphereFit.h.

◆ finalize()

template<class DataPoint, class _NFilter, int DiffType, typename T>
requires ProvidesBasketDiffUnitBase<T>&& ProvidesAlgebraicSphere<T>&& ProvidesMeanPositionDerivative<T>

FIT_RESULT OrientedSphereDerImpl::finalize ( )

inline

Definition at line 114 of file orientedSphereFit.h.

◆ implicitPrimitiveDer() [1/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > & Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::implicitPrimitiveDer ( )

inline

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

Definition at line 87 of file orientedSphereFit.h.

◆ implicitPrimitiveDer() [2/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

const OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > & Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::implicitPrimitiveDer ( ) const

inline

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

Definition at line 87 of file orientedSphereFit.h.

◆ init()

template<class DataPoint, class _NFilter, int DiffType, typename T>
requires ProvidesBasketDiffUnitBase<T>&& ProvidesAlgebraicSphere<T>&& ProvidesMeanPositionDerivative<T>

void OrientedSphereDerImpl::init ( )

inline

Set the evaluation position and reset the internal states.

Warning: Must be called be for any computation (but * after #setNeighborFilter)

Definition at line 84 of file orientedSphereFit.h.

◆ orientedSphereDer() [1/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > & Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::orientedSphereDer ( )

inline

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

Definition at line 85 of file orientedSphereFit.h.

◆ orientedSphereDer() [2/2]

template<class DataPoint, class _NFilter, int DiffType, typename T>

const OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T > & Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::orientedSphereDer ( ) const

inline

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

Definition at line 85 of file orientedSphereFit.h.

Member Data Documentation

◆ m_dDeno

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dDeno {ScalarArray::Zero()}

protected

Derivatives of the denominator of the quadratic parameter.

Definition at line 76 of file orientedSphereFit.h.

◆ m_dNume

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dNume {ScalarArray::Zero()}

protected

Derivatives of the numerator of the quadratic parameter.

Definition at line 75 of file orientedSphereFit.h.

◆ m_dSumDotPN

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dSumDotPN {ScalarArray::Zero()}

protected

Sum of the dot product between relative positions and normals with weight derivatives.

Definition at line 71 of file orientedSphereFit.h.

◆ m_dSumDotPP

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dSumDotPP

protected

Initial value:

{

ScalarArray::Zero()}

Sum of the squared relative positions with weight derivatives.

Definition at line 73 of file orientedSphereFit.h.

◆ m_dSumN

template<class DataPoint, class _NFilter, int DiffType, typename T>

VectorArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dSumN {VectorArray::Zero()}

protected

Sum of the normal vectors with weight derivatives.

Definition at line 70 of file orientedSphereFit.h.

◆ m_dUc

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dUc {ScalarArray::Zero()}

Derivatives of the hyper-sphere constant term.

Definition at line 80 of file orientedSphereFit.h.

◆ m_dUl

template<class DataPoint, class _NFilter, int DiffType, typename T>

VectorArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dUl {VectorArray::Zero()}

Derivatives of the hyper-sphere linear term.

Definition at line 82 of file orientedSphereFit.h.

◆ m_dUq

template<class DataPoint, class _NFilter, int DiffType, typename T>

ScalarArray Ponca::OrientedSphereDerImpl< DataPoint, _NFilter, DiffType, T >::m_dUq {ScalarArray::Zero()}

Derivatives of the hyper-sphere quadratic term.

Definition at line 81 of file orientedSphereFit.h.

Public Types

Public Member Functions

Public Attributes

Protected Types

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ Base

◆ NeighborFilter

◆ Scalar

◆ ScalarArray

◆ VectorArray

◆ VectorType

Member Function Documentation

◆ addLocalNeighbor()

◆ algebraicSphereDer() [1/2]

◆ algebraicSphereDer() [2/2]

◆ applyPrattNorm()

◆ dNormal()

◆ dPotential()

◆ dprattNorm() [1/2]

◆ dprattNorm() [2/2]

◆ dprattNorm2() [1/2]

◆ dprattNorm2() [2/2]

◆ finalize()

◆ implicitPrimitiveDer() [1/2]

◆ implicitPrimitiveDer() [2/2]

◆ init()

◆ orientedSphereDer() [1/2]

◆ orientedSphereDer() [2/2]

Member Data Documentation

◆ m_dDeno

◆ m_dNume

◆ m_dSumDotPN

◆ m_dSumDotPP

◆ m_dSumN

◆ m_dUc

◆ m_dUl

◆ m_dUq