Implicit hyperplane defined by an homogeneous vector \(\mathbf{p}\). More...

#include <plane.h>

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

Collaboration diagram for Ponca::Plane< 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	EigenBase = Eigen::Hyperplane< typename DataPoint::Scalar, DataPoint::Dim >
	Specialization of Eigen::Hyperplane inherited by Ponca::Plane.

Public Member Functions
	Plane ()
	Default constructor.

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

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

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

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

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 Plane< DataPoint, NeighborFilter, T > &other) const

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

void	setPlane (const VectorType &_dir, const VectorType &_pos)

void	changeBasis (const VectorType &newbasis)
	Express the scalar field relatively to a new basis.

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

Scalar	potential (const VectorType &_q) const
	Value of the scalar field at the location \( \mathbf{q} \).

VectorType	project (const VectorType &_q) const
	Project a point on the plane.

VectorType	primitiveGradient () const
	Scalar field gradient direction at the evaluation point.

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

Protected Types
enum	{ check = Base::PROVIDES_PRIMITIVE_BASE , PROVIDES_PLANE }

using	Base = T
	Base class of the procedure.

Protected Member Functions
Scalar	potentialLocal (const VectorType &_lq) const
	Value of the scalar field at the evaluation point.

VectorType	primitiveGradientLocal (const VectorType &) const
	Scalar field gradient direction at the evaluation point.

Detailed Description

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

Implicit hyperplane defined by an homogeneous vector \(\mathbf{p}\).

In n-dimensionnal space, the plane is defined as the \(0\)-isosurface of the scalar field

\( s_\mathbf{u}(\mathbf{x}) = \left[ \mathbf{x}^T \; 1 \;\right]^T \cdot \mathbf{p} \).

This class inherits Eigen::Hyperplane.

This primitive requires the definition of n-dimensionnal vectors (VectorType) in Concept::PointConcept.

This primitive provides:

PROVIDES_PLANE

Definition at line 35 of file plane.h.

Member Typedef Documentation

◆ Base

template<class DataPoint , class _NFilter , typename T >

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

protected

Base class of the procedure.

Definition at line 38 of file plane.h.

◆ EigenBase

template<class DataPoint , class _NFilter , typename T >

using Ponca::Plane< DataPoint, _NFilter, T >::EigenBase = Eigen::Hyperplane<typename DataPoint::Scalar, DataPoint::Dim >

Specialization of Eigen::Hyperplane inherited by Ponca::Plane.

Definition at line 42 of file plane.h.

◆ NeighborFilter

template<class DataPoint , class _NFilter , typename T >

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

Alias to the filter applied on the neighbors.

Definition at line 38 of file plane.h.

◆ Scalar

template<class DataPoint , class _NFilter , typename T >

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

Alias to scalar type.

Definition at line 38 of file plane.h.

◆ VectorType

template<class DataPoint , class _NFilter , typename T >

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

Alias to vector type.

Definition at line 38 of file plane.h.

Member Enumeration Documentation

◆ anonymous enum

template<class DataPoint , class _NFilter , typename T >

anonymous enum

protected

Definition at line 45 of file plane.h.

Constructor & Destructor Documentation

◆ Plane()

template<class DataPoint , class _NFilter , typename T >

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

inline

Default constructor.

Definition at line 50 of file plane.h.

Member Function Documentation

◆ changeBasis()

template<class DataPoint , class _NFilter , typename T >

void Ponca::Plane< DataPoint, _NFilter, T >::changeBasis ( const VectorType & newbasis )

inline

Express the scalar field relatively to a new basis.

The plane in dimension \(d\) is parametrized in the original basis. Moving the basis only affects the constant term: \(c' = c - \mathbf{u}_l^T.\mathbf{\Delta}\) with \(\Delta=old-new\).

Definition at line 96 of file plane.h.

◆ compactPlane() [1/2]

template<class DataPoint , class _NFilter , typename T >

Plane< DataPoint, _NFilter, T > & Ponca::Plane< DataPoint, _NFilter, T >::compactPlane ( )

inline

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

Definition at line 52 of file plane.h.

◆ compactPlane() [2/2]

template<class DataPoint , class _NFilter , typename T >

const Plane< DataPoint, _NFilter, T > & Ponca::Plane< DataPoint, _NFilter, T >::compactPlane ( ) const

inline

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

Definition at line 52 of file plane.h.

◆ init()

template<class DataPoint , class _NFilter , typename T >

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

inline

Set the scalar field values to 0.

Definition at line 56 of file plane.h.

◆ isValid()

template<class DataPoint , class _NFilter , typename T >

bool Ponca::Plane< 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 65 of file plane.h.

◆ operator!=()

template<class DataPoint , class _NFilter , typename T >

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

inline

Comparison operator, convenience function.

Definition at line 74 of file plane.h.

◆ operator==()

template<class DataPoint , class _NFilter , typename T >

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

inline

Definition at line 69 of file plane.h.

◆ plane() [1/2]

template<class DataPoint , class _NFilter , typename T >

Plane< DataPoint, _NFilter, T > & Ponca::Plane< DataPoint, _NFilter, T >::plane ( )

inline

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

Definition at line 53 of file plane.h.

◆ plane() [2/2]

template<class DataPoint , class _NFilter , typename T >

const Plane< DataPoint, _NFilter, T > & Ponca::Plane< DataPoint, _NFilter, T >::plane ( ) const

inline

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

Definition at line 53 of file plane.h.

◆ potential() [1/2]

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::Plane< 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 106 of file plane.h.

◆ potential() [2/2]

template<class DataPoint , class _NFilter , typename T >

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

inline

Value of the scalar field at the location \( \mathbf{q} \).

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

Definition at line 113 of file plane.h.

◆ potentialLocal()

template<class DataPoint , class _NFilter , typename T >

Scalar Ponca::Plane< DataPoint, _NFilter, T >::potentialLocal ( const VectorType & _lq ) const

inlineprotected

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 142 of file plane.h.

◆ primitiveGradient() [1/2]

template<class DataPoint , class _NFilter , typename T >

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

inline

Scalar field gradient direction at the evaluation point.

Definition at line 128 of file plane.h.

◆ primitiveGradient() [2/2]

template<class DataPoint , class _NFilter , typename T >

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

inline

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

Definition at line 135 of file plane.h.

◆ primitiveGradientLocal()

template<class DataPoint , class _NFilter , typename T >

VectorType Ponca::Plane< DataPoint, _NFilter, T >::primitiveGradientLocal ( const VectorType & ) const

inlineprotected

Scalar field gradient direction at the evaluation point.

Definition at line 147 of file plane.h.

◆ project()

template<class DataPoint , class _NFilter , typename T >

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

inline

Project a point on the plane.

Definition at line 121 of file plane.h.

◆ setPlane()

template<class DataPoint , class _NFilter , typename T >

void Ponca::Plane< DataPoint, _NFilter, T >::setPlane	(	const VectorType &	_dir,
		const VectorType &	_pos
	)

inline

Definition at line 82 of file plane.h.

Public Types

Public Member Functions

Protected Types

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ Base

◆ EigenBase

◆ NeighborFilter

◆ Scalar

◆ VectorType

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ Plane()

Member Function Documentation

◆ changeBasis()

◆ compactPlane() [1/2]

◆ compactPlane() [2/2]

◆ init()

◆ isValid()

◆ operator!=()

◆ operator==()

◆ plane() [1/2]

◆ plane() [2/2]

◆ potential() [1/2]

◆ potential() [2/2]

◆ potentialLocal()

◆ primitiveGradient() [1/2]

◆ primitiveGradient() [2/2]

◆ primitiveGradientLocal()

◆ project()

◆ setPlane()