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 MongePatch , to access methods potentially hidden by heritage.

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

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

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

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

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

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

const MongePatch< DataPoint, _NFilter, T > &	secondFondamentalFormComponent () const
	Explicit conversion to MongePatch , 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 MongePatch , 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 MongePatch , 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 MongePatch , 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 MongePatch , 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 MongePatch , 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 MongePatch , 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 MongePatch , 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 MongePatch , 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()