Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T > Class Template Reference

Differentiation of GLSParam. More...

#include <gls.h>

Inheritance diagram for Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T >:

Collaboration diagram for Ponca::GLSDer< DataPoint, _WFunctor, DiffType, 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.
using	ScalarArray = typename Base::ScalarArray
	Alias to scalar derivatives array.
using	VectorArray = typename Base::VectorArray
	Alias to vector derivatives array.

Public Member Functions
GLSDer< DataPoint, _WFunctor, DiffType, T > &	glsDer ()
	Explicit conversion to GLSDer , to access methods potentially hidden by heritage.
const GLSDer< DataPoint, _WFunctor, DiffType, T > &	glsDer () const
	Explicit conversion to GLSDer , to access methods potentially hidden by heritage.
ScalarArray	dtau () const
	Compute and return \( \tau \) derivatives.
VectorArray	deta () const
	Compute and return \( \eta \) derivatives.
ScalarArray	dkappa () const
	Compute and return \( \kappa \) derivatives.
ScalarArray	dtau_normalized () const
	Compute and return \( \tau \) derivatives.
VectorArray	deta_normalized () const
	Compute and return \( t * d\eta \).
ScalarArray	dkappa_normalized () const
	Compute and return \( d\kappa * t^{2} \).
Scalar	geomVar (Scalar wtau=Scalar(1), Scalar weta=Scalar(1), Scalar wkappa=Scalar(1)) const
	The Geometric Variation is computed as the weighted sum of the GLS scale-invariant partial derivatives.

Protected Types
enum	{ Check , PROVIDES_GLS_DERIVATIVE , PROVIDES_GLS_GEOM_VAR }
using	Base = T
	Base class of the procedure.

Detailed Description

template<class DataPoint, class _WFunctor, int DiffType, typename T>
class Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T >

Differentiation of GLSParam.

Method published in [10]

Definition at line 116 of file gls.h.

Member Typedef Documentation

Base

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

using Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T >::Base = T

protected

Base class of the procedure.

Definition at line 118 of file gls.h.

Scalar

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

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

Alias to scalar type.

Definition at line 118 of file gls.h.

ScalarArray

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

using Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T >::ScalarArray = typename Base::ScalarArray

Alias to scalar derivatives array.

Definition at line 119 of file gls.h.

VectorArray

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

using Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T >::VectorArray = typename Base::VectorArray

Alias to vector derivatives array.

Definition at line 119 of file gls.h.

VectorType

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

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

Alias to vector type.

Definition at line 118 of file gls.h.

WFunctor

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

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

Alias to weight function.

Definition at line 118 of file gls.h.

Member Enumeration Documentation

anonymous enum

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

anonymous enum

protected

Definition at line 122 of file gls.h.

Member Function Documentation

deta()

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

GLSDer< DataPoint, _WFunctor, DiffType, T >::VectorArray GLSDer::deta ( ) const

inline

Compute and return \( \eta \) derivatives.

Definition at line 42 of file gls.hpp.

deta_normalized()

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

GLSDer< DataPoint, _WFunctor, DiffType, T >::VectorArray GLSDer::deta_normalized ( ) const

inline

Compute and return \( t * d\eta \).

Definition at line 72 of file gls.hpp.

dkappa()

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

GLSDer< DataPoint, _WFunctor, DiffType, T >::ScalarArray GLSDer::dkappa ( ) const

inline

Compute and return \( \kappa \) derivatives.

Definition at line 50 of file gls.hpp.

dkappa_normalized()

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

GLSDer< DataPoint, _WFunctor, DiffType, T >::ScalarArray GLSDer::dkappa_normalized ( ) const

inline

Compute and return \( d\kappa * t^{2} \).

Definition at line 80 of file gls.hpp.

dtau()

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

GLSDer< DataPoint, _WFunctor, DiffType, T >::ScalarArray GLSDer::dtau ( ) const

inline

Compute and return \( \tau \) derivatives.

Definition at line 23 of file gls.hpp.

dtau_normalized()

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

GLSDer< DataPoint, _WFunctor, DiffType, T >::ScalarArray GLSDer::dtau_normalized ( ) const

inline

Compute and return \( \tau \) derivatives.

Definition at line 64 of file gls.hpp.

geomVar()

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

GLSDer< DataPoint, _WFunctor, DiffType, T >::Scalar GLSDer::geomVar ( Scalar  wtau = Scalar(1), Scalar  weta = Scalar(1), Scalar  wkappa = Scalar(1)  ) const

inline

The Geometric Variation is computed as the weighted sum of the GLS scale-invariant partial derivatives.

\[ \nu(\mathbf{p},t) = w_\tau \left(\frac{\delta\tau}{\delta t}\right)^2 + w_\eta \left( t \frac{\delta\eta}{\delta t}\right)^2 + w_\kappa \left( t^2 \frac{\delta\kappa}{\delta t}\right)^2 \]

Method published in [10]

Parameters

wtau	Weight applied to \( \tau \)
weta	Weight applied to \( \eta \)
wkappa	Weight applied to \( \kappa \)

Returns

Definition at line 90 of file gls.hpp.

glsDer() [1/2]

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

GLSDer< DataPoint, _WFunctor, DiffType, T > & Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T >::glsDer ( )

inline

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

Definition at line 132 of file gls.h.

glsDer() [2/2]

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

const GLSDer< DataPoint, _WFunctor, DiffType, T > & Ponca::GLSDer< DataPoint, _WFunctor, DiffType, T >::glsDer ( ) const

inline

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

Definition at line 132 of file gls.h.