Monge Patch primitive, defined as \( \mathbf{x}(u,v)= (u,v,h(u,v)) \), with \(h(u,v)\) defined by a Base class. More...

#include <mongePatch.h>

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

Collaboration diagram for Ponca::MongePatch< 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.

Public Member Functions
	MongePatch ()
	Default constructor.

MongePatch< DataPoint, _NFilter, T > &	mongePatchPrimitive ()
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.

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

MongePatch< DataPoint, _NFilter, T > &	implicitPrimitive ()
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.

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

MongePatch< DataPoint, _NFilter, T > &	firstFondamentalFormComponent ()
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.

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

MongePatch< DataPoint, _NFilter, T > &	secondFondamentalFormComponent ()
	Explicit conversion to CLASSNAME, to access methods potentially hidden by heritage.

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

Scalar	potential () const
	Value of the scalar field at the evaluation point.

Scalar	potential (const VectorType &_q) const
	Value of the scalar field at a given point.

VectorType	project (const VectorType &_q) const
	Orthogonal projection on the patch.

VectorType	primitiveGradient () const
	Scalar field gradient direction at the basis center.

VectorType	primitiveGradient (const VectorType &_q) const
	Scalar field gradient direction at \( \mathbf{q}\).

VectorType	primitiveGradientLocal (const VectorType &_localQ=VectorType::Zero()) const
	Scalar field gradient direction, both input and output vectors are expressed in the local basis.

void	firstFundamentalFormComponents (Scalar &E, Scalar &F, Scalar &G) const

void	secondFundamentalFormComponents (Scalar &L, Scalar &M, Scalar &N) const

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

Detailed Description

template<class DataPoint, class _NFilter, typename T>
requires ProvidesTangentPlaneBasis<T>&& ProvidesHeightField<T>&& Is3D<DataPoint>
class Ponca::MongePatch< DataPoint, _NFilter, T >

Monge Patch primitive, defined as \( \mathbf{x}(u,v)= (u,v,h(u,v)) \), with \(h(u,v)\) defined by a Base class.

See also: MongePatchQuadraticFitImpl and MongePatchRestrictedQuadraticFitImpl

Warning: Internally, the patch is represented as (h(u,v), u, v) because CovariancePlaneFitImpl::worldToTangentPlane() wraps up coordinates in this order (height, u and v).

This primitive provides:

PROVIDES_MONGE_PATCH, ProvidesFirstFondamentalFormComponents,
ProvidesSecondFondamentalFormComponents

This primitive requires:

ProvidesPlane, ProvidesTangentPlaneBasis, PROVIDES_HEIGHTFIELD

Definition at line 42 of file mongePatch.h.

Member Typedef Documentation

◆ Base

template<class DataPoint , class _NFilter , typename T >

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

protected

Base class of the procedure.

Definition at line 44 of file mongePatch.h.

◆ NeighborFilter

template<class DataPoint , class _NFilter , typename T >

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

Alias to the filter applied on the neighbors.

Definition at line 44 of file mongePatch.h.

◆ Scalar

template<class DataPoint , class _NFilter , typename T >

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

Alias to scalar type.

Definition at line 44 of file mongePatch.h.

◆ VectorType

template<class DataPoint , class _NFilter , typename T >

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

Alias to vector type.

Definition at line 44 of file mongePatch.h.

Constructor & Destructor Documentation

◆ MongePatch()

template<class DataPoint , class _NFilter , typename T >

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

inline

Default constructor.

Definition at line 46 of file mongePatch.h.

Member Function Documentation

◆ firstFondamentalFormComponent() [1/2]

template<class DataPoint , class _NFilter , typename T >

MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::firstFondamentalFormComponent ( )

inline

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

Definition at line 50 of file mongePatch.h.

◆ firstFondamentalFormComponent() [2/2]

template<class DataPoint , class _NFilter , typename T >

const MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::firstFondamentalFormComponent ( ) const

inline

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

Definition at line 50 of file mongePatch.h.

◆ firstFundamentalFormComponents()

template<class DataPoint , class _NFilter , typename T >

void Ponca::MongePatch< DataPoint, _NFilter, T >::firstFundamentalFormComponents	(	Scalar &	E,
		Scalar &	F,
		Scalar &	G
	)		const

inline

Definition at line 100 of file mongePatch.h.

◆ implicitPrimitive() [1/2]

template<class DataPoint , class _NFilter , typename T >

MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::implicitPrimitive ( )

inline

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

Definition at line 49 of file mongePatch.h.

◆ implicitPrimitive() [2/2]

template<class DataPoint , class _NFilter , typename T >

const MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::implicitPrimitive ( ) const

inline

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

Definition at line 49 of file mongePatch.h.

◆ mongePatchPrimitive() [1/2]

template<class DataPoint , class _NFilter , typename T >

MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::mongePatchPrimitive ( )

inline

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

Definition at line 48 of file mongePatch.h.

◆ mongePatchPrimitive() [2/2]

template<class DataPoint , class _NFilter , typename T >

const MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::mongePatchPrimitive ( ) const

inline

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

Definition at line 48 of file mongePatch.h.

◆ potential() [1/2]

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::MongePatch< DataPoint, _NFilter, T >::potential ( ) const

inline

Value of the scalar field at the evaluation point.

See also: method #isSigned of the fit to check if the sign is reliable

Definition at line 55 of file mongePatch.h.

◆ potential() [2/2]

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::MongePatch< DataPoint, _NFilter, T >::potential ( const VectorType & _q ) const

inline

Value of the scalar field at a given point.

See also: method #isSigned of the plane fit to check if the sign is reliable

Definition at line 59 of file mongePatch.h.

◆ primitiveGradient() [1/2]

template<class DataPoint , class _NFilter , typename T >

VectorType Ponca::MongePatch< DataPoint, _NFilter, T >::primitiveGradient ( ) const

inline

Scalar field gradient direction at the basis center.

Definition at line 78 of file mongePatch.h.

◆ primitiveGradient() [2/2]

template<class DataPoint , class _NFilter , typename T >

VectorType Ponca::MongePatch< DataPoint, _NFilter, T >::primitiveGradient ( const VectorType & _q ) const

inline

Scalar field gradient direction at \( \mathbf{q}\).

Definition at line 84 of file mongePatch.h.

◆ primitiveGradientLocal()

template<class DataPoint , class _NFilter , typename T >

VectorType Ponca::MongePatch< DataPoint, _NFilter, T >::primitiveGradientLocal ( const VectorType & _localQ = VectorType::Zero() ) const

inline

Scalar field gradient direction, both input and output vectors are expressed in the local basis.

Definition at line 90 of file mongePatch.h.

◆ project()

template<class DataPoint , class _NFilter , typename T >

VectorType Ponca::MongePatch< DataPoint, _NFilter, T >::project ( const VectorType & _q ) const

inline

Orthogonal projection on the patch.

Given a point p and its local representation q, project the point such that \(h(q.x(),q.y())-q.z()=0\)

Definition at line 69 of file mongePatch.h.

◆ secondFondamentalFormComponent() [1/2]

template<class DataPoint , class _NFilter , typename T >

MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::secondFondamentalFormComponent ( )

inline

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

Definition at line 51 of file mongePatch.h.

◆ secondFondamentalFormComponent() [2/2]

template<class DataPoint , class _NFilter , typename T >

const MongePatch< DataPoint, _NFilter, T > & Ponca::MongePatch< DataPoint, _NFilter, T >::secondFondamentalFormComponent ( ) const

inline

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

Definition at line 51 of file mongePatch.h.

◆ secondFundamentalFormComponents()

template<class DataPoint , class _NFilter , typename T >

void Ponca::MongePatch< DataPoint, _NFilter, T >::secondFundamentalFormComponents	(	Scalar &	L,
		Scalar &	M,
		Scalar &	N
	)		const

inline

Definition at line 110 of file mongePatch.h.

Public Types

Public Member Functions

Protected Types

Detailed Description

Member Typedef Documentation

◆ Base

◆ NeighborFilter

◆ Scalar

◆ VectorType

Constructor & Destructor Documentation

◆ MongePatch()

Member Function Documentation

◆ firstFondamentalFormComponent() [1/2]

◆ firstFondamentalFormComponent() [2/2]

◆ firstFundamentalFormComponents()

◆ implicitPrimitive() [1/2]

◆ implicitPrimitive() [2/2]

◆ mongePatchPrimitive() [1/2]

◆ mongePatchPrimitive() [2/2]

◆ potential() [1/2]

◆ potential() [2/2]

◆ primitiveGradient() [1/2]

◆ primitiveGradient() [2/2]

◆ primitiveGradientLocal()

◆ project()

◆ secondFondamentalFormComponent() [1/2]

◆ secondFondamentalFormComponent() [2/2]

◆ secondFundamentalFormComponents()