Extension to compute the best fit quadric on 3d points expressed as \(f(u,v)=h\). More...

#include <mongePatch.h>

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

Collaboration diagram for Ponca::MongePatch< DataPoint, _WFunctor, 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	SampleMatrix = Eigen::Matrix< Scalar, Eigen::Dynamic, Eigen::Dynamic >

using	Vector6 = Eigen::Matrix< Scalar, 6, 1 >

Public Member Functions
MongePatch< DataPoint, _WFunctor, T > &	mongePatch ()
	Explicit conversion to MongePatch , to access methods potentially hidden by heritage.

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

void	init (const VectorType &_evalPos)
	Set the evaluation position and reset the internal states.

bool	addLocalNeighbor (Scalar w, const VectorType &localQ, const DataPoint &attributes)
	Add a neighbor to perform the fit.

FIT_RESULT	finalize ()
	Finalize the procedure.

Scalar	kMean () const
	Returns an estimate of the mean curvature.

Scalar	GaussianCurvature () const
	Returns an estimate of the Gaussian curvature.

Scalar	evalUV (Scalar u, Scalar v) const

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

VectorType	project (const VectorType &_q) const
	Orthogonal projecting on the patch, such that h = f(u,v)

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

Protected Types
enum	{ Check = Base::PROVIDES_PLANE && Base::PROVIDES_TANGENT_PLANE_BASIS }

using	Base = T
	Base class of the procedure.

Protected Attributes
SampleMatrix	m_A
	Quadric input samples.

Vector6	m_x {Vector6::Zero()}
	Quadric parameters.

Vector6	m_b {Vector6::Zero()}
	Observations.

bool	m_planeIsReady {false}

Detailed Description

template<class DataPoint, class _WFunctor, typename T>
class Ponca::MongePatch< DataPoint, _WFunctor, T >

Extension to compute the best fit quadric on 3d points expressed as \(f(u,v)=h\).

Note: This procedure requires at least two passes, the first one for plane fitting, the second one for quadric fitting.

Warning: This class is valid only in 3D.

Note: This class mixes the primitive (MongePatch) and its fitting procedure. Could makes sense to split the two

Definition at line 27 of file mongePatch.h.

Member Typedef Documentation

◆ Base

template<class DataPoint , class _WFunctor , typename T >

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

protected

Base class of the procedure.

Definition at line 29 of file mongePatch.h.

◆ SampleMatrix

template<class DataPoint , class _WFunctor , typename T >

using Ponca::MongePatch< DataPoint, _WFunctor, T >::SampleMatrix = Eigen::Matrix<Scalar,Eigen::Dynamic,Eigen::Dynamic>

Definition at line 35 of file mongePatch.h.

◆ Scalar

template<class DataPoint , class _WFunctor , typename T >

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

Alias to scalar type.

Definition at line 29 of file mongePatch.h.

◆ Vector6

template<class DataPoint , class _WFunctor , typename T >

using Ponca::MongePatch< DataPoint, _WFunctor, T >::Vector6 = Eigen::Matrix<Scalar,6,1>

Definition at line 36 of file mongePatch.h.

◆ VectorType

template<class DataPoint , class _WFunctor , typename T >

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

Alias to vector type.

Definition at line 29 of file mongePatch.h.

◆ WFunctor

template<class DataPoint , class _WFunctor , typename T >

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

Alias to weight function.

Definition at line 29 of file mongePatch.h.

Member Enumeration Documentation

◆ anonymous enum

template<class DataPoint , class _WFunctor , typename T >

anonymous enum

protected

Definition at line 32 of file mongePatch.h.

Member Function Documentation

◆ addLocalNeighbor()

template<class DataPoint , class _WFunctor , typename T >

bool MongePatch::addLocalNeighbor	(	Scalar	w,
		const VectorType &	localQ,
		const DataPoint &	attributes
	)

inline

Add a neighbor to perform the fit.

Returns: false if param nei is not a valid neighbour (weight = 0)

Definition at line 18 of file mongePatch.hpp.

◆ evalUV()

template<class DataPoint , class _WFunctor , typename T >

Scalar Ponca::MongePatch< DataPoint, _WFunctor, T >::evalUV	(	Scalar	u,
		Scalar	v
	)		const

inline

Definition at line 54 of file mongePatch.h.

◆ finalize()

template<class DataPoint , class _WFunctor , typename T >

FIT_RESULT MongePatch::finalize ( )

inline

Finalize the procedure.

Returns: Fitting Status

Warning: Must be called be for any use of the fitting output

Definition at line 46 of file mongePatch.hpp.

◆ GaussianCurvature()

template<class DataPoint , class _WFunctor , typename T >

MongePatch< DataPoint, _WFunctor, T >::Scalar MongePatch::GaussianCurvature ( ) const

inline

Returns an estimate of the Gaussian curvature.

Definition at line 84 of file mongePatch.hpp.

◆ h_c()

template<class DataPoint , class _WFunctor , typename T >

const Scalar & Ponca::MongePatch< DataPoint, _WFunctor, T >::h_c ( ) const

inline

Definition at line 78 of file mongePatch.h.

◆ h_u()

template<class DataPoint , class _WFunctor , typename T >

const Scalar & Ponca::MongePatch< DataPoint, _WFunctor, T >::h_u ( ) const

inline

Definition at line 76 of file mongePatch.h.

◆ h_uu()

template<class DataPoint , class _WFunctor , typename T >

const Scalar & Ponca::MongePatch< DataPoint, _WFunctor, T >::h_uu ( ) const

inline

Definition at line 73 of file mongePatch.h.

◆ h_uv()

template<class DataPoint , class _WFunctor , typename T >

const Scalar & Ponca::MongePatch< DataPoint, _WFunctor, T >::h_uv ( ) const

inline

Definition at line 75 of file mongePatch.h.

◆ h_v()

template<class DataPoint , class _WFunctor , typename T >

const Scalar & Ponca::MongePatch< DataPoint, _WFunctor, T >::h_v ( ) const

inline

Definition at line 77 of file mongePatch.h.

◆ h_vv()

template<class DataPoint , class _WFunctor , typename T >

const Scalar & Ponca::MongePatch< DataPoint, _WFunctor, T >::h_vv ( ) const

inline

Definition at line 74 of file mongePatch.h.

◆ init()

template<class DataPoint , class _WFunctor , typename T >

void MongePatch::init ( const VectorType & _evalPos )

inline

Set the evaluation position and reset the internal states.

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

Definition at line 7 of file mongePatch.hpp.

◆ kMean()

template<class DataPoint , class _WFunctor , typename T >

MongePatch< DataPoint, _WFunctor, T >::Scalar MongePatch::kMean ( ) const

inline

Returns an estimate of the mean curvature.

Definition at line 73 of file mongePatch.hpp.

◆ mongePatch() [1/2]

template<class DataPoint , class _WFunctor , typename T >

MongePatch< DataPoint, _WFunctor, T > & Ponca::MongePatch< DataPoint, _WFunctor, T >::mongePatch ( )

inline

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

Definition at line 45 of file mongePatch.h.

◆ mongePatch() [2/2]

template<class DataPoint , class _WFunctor , typename T >

const MongePatch< DataPoint, _WFunctor, T > & Ponca::MongePatch< DataPoint, _WFunctor, T >::mongePatch ( ) const

inline

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

Definition at line 45 of file mongePatch.h.

◆ potential()

template<class DataPoint , class _WFunctor , typename T >

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

inline

Value of the scalar field at the evaluation point.

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

Definition at line 60 of file mongePatch.h.

◆ project()

template<class DataPoint , class _WFunctor , typename T >

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

inline

Orthogonal projecting on the patch, such that h = f(u,v)

Definition at line 66 of file mongePatch.h.

Member Data Documentation

◆ m_A

template<class DataPoint , class _WFunctor , typename T >

SampleMatrix Ponca::MongePatch< DataPoint, _WFunctor, T >::m_A

protected

Quadric input samples.

Definition at line 39 of file mongePatch.h.

◆ m_b

template<class DataPoint , class _WFunctor , typename T >

Vector6 Ponca::MongePatch< DataPoint, _WFunctor, T >::m_b {Vector6::Zero()}

protected

Observations.

Definition at line 41 of file mongePatch.h.

◆ m_planeIsReady

template<class DataPoint , class _WFunctor , typename T >

bool Ponca::MongePatch< DataPoint, _WFunctor, T >::m_planeIsReady {false}

protected

Definition at line 43 of file mongePatch.h.

◆ m_x

template<class DataPoint , class _WFunctor , typename T >

Vector6 Ponca::MongePatch< DataPoint, _WFunctor, T >::m_x {Vector6::Zero()}

protected

Quadric parameters.

Definition at line 40 of file mongePatch.h.

Public Types

Public Member Functions

Protected Types

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ Base

◆ SampleMatrix

◆ Scalar

◆ Vector6

◆ VectorType

◆ WFunctor

Member Enumeration Documentation

◆ anonymous enum

Member Function Documentation

◆ addLocalNeighbor()

◆ evalUV()

◆ finalize()

◆ GaussianCurvature()

◆ h_c()

◆ h_u()

◆ h_uu()

◆ h_uv()

◆ h_v()

◆ h_vv()

◆ init()

◆ kMean()

◆ mongePatch() [1/2]

◆ mongePatch() [2/2]

◆ potential()

◆ project()

Member Data Documentation

◆ m_A

◆ m_b

◆ m_planeIsReady

◆ m_x