Quadratic height field defined as \(h(u,v)=h_{uu}u^2 + h_{vv}v^2 + h_{uv}uv + h_u u + h_v v + h_c \). More...

#include <heightField.h>

Inheritance diagram for Ponca::QuadraticHeightField< DataPoint, _NFilter, T >:

Collaboration diagram for Ponca::QuadraticHeightField< DataPoint, _NFilter, 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	HeightFieldCoefficients = Eigen::Matrix< Scalar, 6, 1 >

Public Member Functions
	QuadraticHeightField ()
	Default constructor.

QuadraticHeightField< DataPoint, _NFilter, T > &	quadraticHeightField ()
	Explicit conversion to QuadraticHeightField , to access methods potentially hidden by heritage.

const QuadraticHeightField< DataPoint, _NFilter, T > &	quadraticHeightField () const
	Explicit conversion to QuadraticHeightField , to access methods potentially hidden by heritage.

void	setQuadric (const HeightFieldCoefficients &coeffs)
	Set the scalar field values.

const HeightFieldCoefficients &	coeffs () const

void	init ()
	Set the scalar field values to 0.

bool	isValid () const
	Tell if the plane as been correctly set. Used to set CONFLICT_ERROR_FOUND during fitting.

bool	operator== (const QuadraticHeightField< DataPoint, _NFilter, T > &other) const

bool	operator!= (const QuadraticHeightField< DataPoint, _NFilter, T > &other) const
	Comparison operator, convenience function.

Scalar	height (Scalar u, Scalar v) const
	Height value at local uv.

const Scalar &	h_uu () const

const Scalar &	h_vv () const

const Scalar &	h_uv () const

const Scalar &	h_u () const

const Scalar &	h_v () const

const Scalar &	h_c () const

Scalar	dh_du (Scalar u=Scalar(0), Scalar v=Scalar(0)) const
	Partial derivative \( \frac{\delta h }{\delta u} (u,v) = 2h_{uu} u + h_{uv} v + h_u \).

Scalar	dh_dv (Scalar u=Scalar(0), Scalar v=Scalar(0)) const
	Partial derivative \( \frac{\delta h }{\delta v} (u,v) = 2h_{vv} v + h_{uv} u + h_v \).

Scalar	d2h_duu (Scalar u=Scalar(0), Scalar v=Scalar(0)) const
	Second order partial derivative \( \frac{\delta h }{\delta u^2} (u,v) = 2h_{uu} \).

Scalar	d2h_dvv (Scalar u=Scalar(0), Scalar v=Scalar(0)) const
	Second order partial derivative \( \frac{\delta h }{\delta v} (u,v) = 2h_{vv} \).

Scalar	d2h_duv (Scalar u=Scalar(0), Scalar v=Scalar(0)) const
	Second order partial derivative \( \frac{\delta }{\delta v} (\frac{\delta h }{\delta u}) (u,v) = h_{uv} \).

VectorType	heightTangentULocal (const VectorType &_localQ) const
	Local tangent vector in the direction of \(u\).

VectorType	heightTangentVLocal (const VectorType &_localQ) const
	Local tangent vector in the direction of \(v\).

Protected Types
enum	{ Check = Base::PROVIDES_HEIGHTFIELD , PROVIDES_QUADRIC_HEIGHTFIELD }

using	Base = T
	Base class of the procedure.

Protected Attributes
HeightFieldCoefficients	m_coeffs {HeightFieldCoefficients::Zero()}
	Quadric parameters, stored as \([h_uu, h_vv, h_uv, h_u, h_v, h_c]\).

Detailed Description

template<class DataPoint, class _NFilter, typename T>
class Ponca::QuadraticHeightField< DataPoint, _NFilter, T >

Quadratic height field defined as \(h(u,v)=h_{uu}u^2 + h_{vv}v^2 + h_{uv}uv + h_u u + h_v v + h_c \).

See also: MongePatchPrimitive

This primitive provides:

PROVIDES_QUADRIC_HEIGHTFIELD

Definition at line 67 of file heightField.h.

Member Typedef Documentation

◆ Base

template<class DataPoint , class _NFilter , typename T >

using Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::Base = T

protected

Base class of the procedure.

Definition at line 69 of file heightField.h.

◆ HeightFieldCoefficients

template<class DataPoint , class _NFilter , typename T >

using Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::HeightFieldCoefficients = Eigen::Matrix<Scalar,6,1>

Definition at line 70 of file heightField.h.

◆ NeighborFilter

template<class DataPoint , class _NFilter , typename T >

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

Alias to the filter applied on the neighbors.

Definition at line 69 of file heightField.h.

◆ Scalar

template<class DataPoint , class _NFilter , typename T >

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

Alias to scalar type.

Definition at line 69 of file heightField.h.

◆ VectorType

template<class DataPoint , class _NFilter , typename T >

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

Alias to vector type.

Definition at line 69 of file heightField.h.

Member Enumeration Documentation

◆ anonymous enum

template<class DataPoint , class _NFilter , typename T >

anonymous enum

protected

Enumerator
PROVIDES_QUADRIC_HEIGHTFIELD	Provides quadric heightfield API.

Definition at line 74 of file heightField.h.

Constructor & Destructor Documentation

◆ QuadraticHeightField()

template<class DataPoint , class _NFilter , typename T >

Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::QuadraticHeightField ( )

inline

Default constructor.

Definition at line 84 of file heightField.h.

Member Function Documentation

◆ coeffs()

template<class DataPoint , class _NFilter , typename T >

const HeightFieldCoefficients & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::coeffs ( ) const

inline

Definition at line 91 of file heightField.h.

◆ d2h_duu()

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::d2h_duu	(	Scalar	u = `Scalar(0)`,
		Scalar	v = `Scalar(0)`
	)		const

inline

Second order partial derivative \( \frac{\delta h }{\delta u^2} (u,v) = 2h_{uu} \).

Definition at line 137 of file heightField.h.

◆ d2h_duv()

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::d2h_duv	(	Scalar	u = `Scalar(0)`,
		Scalar	v = `Scalar(0)`
	)		const

inline

Second order partial derivative \( \frac{\delta }{\delta v} (\frac{\delta h }{\delta u}) (u,v) = h_{uv} \).

Definition at line 145 of file heightField.h.

◆ d2h_dvv()

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::d2h_dvv	(	Scalar	u = `Scalar(0)`,
		Scalar	v = `Scalar(0)`
	)		const

inline

Second order partial derivative \( \frac{\delta h }{\delta v} (u,v) = 2h_{vv} \).

Definition at line 141 of file heightField.h.

◆ dh_du()

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::dh_du	(	Scalar	u = `Scalar(0)`,
		Scalar	v = `Scalar(0)`
	)		const

inline

Partial derivative \( \frac{\delta h }{\delta u} (u,v) = 2h_{uu} u + h_{uv} v + h_u \).

Definition at line 129 of file heightField.h.

◆ dh_dv()

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::dh_dv	(	Scalar	u = `Scalar(0)`,
		Scalar	v = `Scalar(0)`
	)		const

inline

Partial derivative \( \frac{\delta h }{\delta v} (u,v) = 2h_{vv} v + h_{uv} u + h_v \).

Definition at line 133 of file heightField.h.

◆ h_c()

template<class DataPoint , class _NFilter , typename T >

const Scalar & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::h_c ( ) const

inline

Definition at line 126 of file heightField.h.

◆ h_u()

template<class DataPoint , class _NFilter , typename T >

const Scalar & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::h_u ( ) const

inline

Definition at line 124 of file heightField.h.

◆ h_uu()

template<class DataPoint , class _NFilter , typename T >

const Scalar & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::h_uu ( ) const

inline

Definition at line 121 of file heightField.h.

◆ h_uv()

template<class DataPoint , class _NFilter , typename T >

const Scalar & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::h_uv ( ) const

inline

Definition at line 123 of file heightField.h.

◆ h_v()

template<class DataPoint , class _NFilter , typename T >

const Scalar & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::h_v ( ) const

inline

Definition at line 125 of file heightField.h.

◆ h_vv()

template<class DataPoint , class _NFilter , typename T >

const Scalar & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::h_vv ( ) const

inline

Definition at line 122 of file heightField.h.

◆ height()

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::height	(	Scalar	u,
		Scalar	v
	)		const

inline

Height value at local uv.

Definition at line 117 of file heightField.h.

◆ heightTangentULocal()

template<class DataPoint , class _NFilter , typename T >

VectorType Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::heightTangentULocal ( const VectorType & _localQ ) const

inline

Local tangent vector in the direction of \(u\).

Definition at line 149 of file heightField.h.

◆ heightTangentVLocal()

template<class DataPoint , class _NFilter , typename T >

VectorType Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::heightTangentVLocal ( const VectorType & _localQ ) const

inline

Local tangent vector in the direction of \(v\).

Definition at line 155 of file heightField.h.

◆ init()

template<class DataPoint , class _NFilter , typename T >

void Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::init ( )

inline

Set the scalar field values to 0.

Definition at line 94 of file heightField.h.

◆ isValid()

template<class DataPoint , class _NFilter , typename T >

bool Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::isValid ( ) const

inline

Tell if the plane as been correctly set. Used to set CONFLICT_ERROR_FOUND during fitting.

Returns: false when called straight after init. Should be true after fitting

Definition at line 103 of file heightField.h.

◆ operator!=()

template<class DataPoint , class _NFilter , typename T >

bool Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::operator!= ( const QuadraticHeightField< DataPoint, _NFilter, T > & other ) const

inline

Comparison operator, convenience function.

Definition at line 112 of file heightField.h.

◆ operator==()

template<class DataPoint , class _NFilter , typename T >

bool Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::operator== ( const QuadraticHeightField< DataPoint, _NFilter, T > & other ) const

inline

Definition at line 107 of file heightField.h.

◆ quadraticHeightField() [1/2]

template<class DataPoint , class _NFilter , typename T >

QuadraticHeightField< DataPoint, _NFilter, T > & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::quadraticHeightField ( )

inline

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

Definition at line 86 of file heightField.h.

◆ quadraticHeightField() [2/2]

template<class DataPoint , class _NFilter , typename T >

const QuadraticHeightField< DataPoint, _NFilter, T > & Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::quadraticHeightField ( ) const

inline

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

Definition at line 86 of file heightField.h.

◆ setQuadric()

template<class DataPoint , class _NFilter , typename T >

void Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::setQuadric ( const HeightFieldCoefficients & coeffs )

inline

Set the scalar field values.

Definition at line 89 of file heightField.h.

Member Data Documentation

◆ m_coeffs

template<class DataPoint , class _NFilter , typename T >

HeightFieldCoefficients Ponca::QuadraticHeightField< DataPoint, _NFilter, T >::m_coeffs {HeightFieldCoefficients::Zero()}

protected

Quadric parameters, stored as \([h_uu, h_vv, h_uv, h_u, h_v, h_c]\).

Definition at line 79 of file heightField.h.

Public Types

Public Member Functions

Protected Types

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ Base

◆ HeightFieldCoefficients

◆ NeighborFilter

◆ Scalar

◆ VectorType

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ QuadraticHeightField()

Member Function Documentation

◆ coeffs()

◆ d2h_duu()

◆ d2h_duv()

◆ d2h_dvv()

◆ dh_du()

◆ dh_dv()

◆ h_c()

◆ h_u()

◆ h_uu()

◆ h_uv()

◆ h_v()

◆ h_vv()

◆ height()

◆ heightTangentULocal()

◆ heightTangentVLocal()

◆ init()

◆ isValid()

◆ operator!=()

◆ operator==()

◆ quadraticHeightField() [1/2]

◆ quadraticHeightField() [2/2]

◆ setQuadric()

Member Data Documentation

◆ m_coeffs