Aim: a cellular embedder for implicit functions, (default constructible, copy constructible, assignable). Model of CCellEmbedder and CWithGradientMap. More...

#include <DGtal/shapes/implicit/ImplicitFunctionDiff1LinearCellEmbedder.h>

Inheritance diagram for DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >:

Public Types
typedef TKSpace	KSpace

typedef TImplicitFunctionDiff1	ImplicitFunctionDiff1

typedef TEmbedder	Embedder

typedef KSpace::Cell	Cell

typedef KSpace::SCell	SCell

typedef KSpace::Space	Space

typedef Space::Point	Point

typedef Space::RealPoint	RealPoint

typedef Space::RealVector	RealVector

typedef ImplicitFunctionDiff1::Value	ImplicitFctValue

typedef Cell	Argument

typedef RealPoint	Value

typedef ImplicitFunctionDiff1LinearCellEmbedderGradientMap< KSpace, ImplicitFunctionDiff1, Embedder >	GradientMap

Public Member Functions
	ImplicitFunctionDiff1LinearCellEmbedder ()

	~ImplicitFunctionDiff1LinearCellEmbedder ()

	ImplicitFunctionDiff1LinearCellEmbedder (const ImplicitFunctionDiff1LinearCellEmbedder &other)

ImplicitFunctionDiff1LinearCellEmbedder &	operator= (const ImplicitFunctionDiff1LinearCellEmbedder &other)

void	init (ConstAlias< KSpace > K, ConstAlias< ImplicitFunctionDiff1 > f, ConstAlias< Embedder > e)

GradientMap	gradientMap () const

RealPoint	embed (const Point &p) const

RealPoint	embedCell (const Cell &cell) const

RealPoint	embedSCell (const SCell &scell) const

RealPoint	operator() (const Cell &cell) const

void	embed (const Point &p, RealPoint &x, RealVector &grad) const

void	embedCell (const Cell &cell, RealPoint &x, RealVector &grad) const

void	embedSCell (const SCell &scell, RealPoint &x, RealVector &grad) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Protected Attributes
const KSpace *	myPtrK
	A pointer on the cellular grid space. More...

const ImplicitFunctionDiff1 *	myPtrFct
	A pointer on the implicit function. More...

const Embedder *	myPtrEmbedder
	A pointer on the digital embedder. More...

Private Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CCellularGridSpaceND< TKSpace >))

	BOOST_CONCEPT_ASSERT ((concepts::CImplicitFunctionDiff1< TImplicitFunctionDiff1 >))

	BOOST_CONCEPT_ASSERT ((concepts::CPointEmbedder< TEmbedder >))

Detailed Description

template<typename TKSpace, typename TImplicitFunctionDiff1, typename TEmbedder>
class DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >

Aim: a cellular embedder for implicit functions, (default constructible, copy constructible, assignable). Model of CCellEmbedder and CWithGradientMap.

Description of template class 'ImplicitFunctionDiff1LinearCellEmbedder'

Template Parameters

TKSpace	the cellular grid space definition, a model of CCellularGridSpaceND.
TImplicitFunctionDiff1	the type of implicit function, a model of CImplicitFunctionDiff1.
TEmbedder	the type of digital embedder, a model of CPointEmbedder.

Todo:: assert dimensions of space, embedder and implicit function.

Examples: topology/trackImplicitPolynomialSurfaceToOFF.cpp.

Definition at line 79 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

Member Typedef Documentation

◆ Argument

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef Cell DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::Argument

Definition at line 96 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ Cell

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef KSpace::Cell DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::Cell

Definition at line 89 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ Embedder

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef TEmbedder DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::Embedder

Definition at line 88 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ GradientMap

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef ImplicitFunctionDiff1LinearCellEmbedderGradientMap< KSpace, ImplicitFunctionDiff1, Embedder > DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::GradientMap

Definition at line 99 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ ImplicitFctValue

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef ImplicitFunctionDiff1::Value DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::ImplicitFctValue

Definition at line 95 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ ImplicitFunctionDiff1

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef TImplicitFunctionDiff1 DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::ImplicitFunctionDiff1

Definition at line 87 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ KSpace

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef TKSpace DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::KSpace

Definition at line 86 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ Point

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef Space::Point DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::Point

Definition at line 92 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ RealPoint

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef Space::RealPoint DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::RealPoint

Definition at line 93 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ RealVector

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef Space::RealVector DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::RealVector

Definition at line 94 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ SCell

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef KSpace::SCell DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::SCell

Definition at line 90 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ Space

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef KSpace::Space DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::Space

Definition at line 91 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ Value

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

typedef RealPoint DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::Value

Definition at line 97 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

Constructor & Destructor Documentation

◆ ImplicitFunctionDiff1LinearCellEmbedder() [1/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::ImplicitFunctionDiff1LinearCellEmbedder ( )

Constructor. The object is not valid.

◆ ~ImplicitFunctionDiff1LinearCellEmbedder()

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::~ImplicitFunctionDiff1LinearCellEmbedder ( )

Destructor.

◆ ImplicitFunctionDiff1LinearCellEmbedder() [2/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::ImplicitFunctionDiff1LinearCellEmbedder ( const ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder > & other )

Copy constructor.

Parameters

other the object to copy.

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::BOOST_CONCEPT_ASSERT ( (concepts::CCellularGridSpaceND< TKSpace >) )

private

◆ BOOST_CONCEPT_ASSERT() [2/3]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::BOOST_CONCEPT_ASSERT ( (concepts::CImplicitFunctionDiff1< TImplicitFunctionDiff1 >) )

private

◆ BOOST_CONCEPT_ASSERT() [3/3]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::BOOST_CONCEPT_ASSERT ( (concepts::CPointEmbedder< TEmbedder >) )

private

◆ embed() [1/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

RealPoint DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::embed ( const Point & p ) const

Maps a digital point to its corresponding point in the Euclidean space.

Parameters

p	any digital point in the digital space.

Returns: its embedding by the current embedder in the Euclidean space.

◆ embed() [2/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

void DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::embed	(	const Point &	p,
		RealPoint &	x,
		RealVector &	grad
	)		const

Maps a digital point to its corresponding embedding position and gradient vector in the Euclidean space.

Parameters

p	any digital point in the digital space.
x	its embedding in the Euclidean space.
grad	(returns) its gradient vector at the point given by the current embedder in the Euclidean space.

◆ embedCell() [1/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

RealPoint DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::embedCell ( const Cell & cell ) const

Maps a cell to its corresponding point in the Euclidean space, by a linear guess of its position.

Parameters

cell	any cell in the cellular grid space.

Returns: its embedding in the Euclidean space.

◆ embedCell() [2/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

void DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::embedCell	(	const Cell &	cell,
		RealPoint &	x,
		RealVector &	grad
	)		const

Maps a cell to its corresponding gradient vector in the Euclidean space, by a linear guess of its position.

Parameters

cell	any cell in the cellular grid space.
x	its embedding in the Euclidean space.
grad	(returns) its gradient vector at the point given by the current embedder in the Euclidean space.

◆ embedSCell() [1/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

RealPoint DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::embedSCell ( const SCell & scell ) const

Maps a signed cell to its corresponding point in the Euclidean space, by a linear guess of its position. NB: the signed is not used.

Parameters

scell any cell in the cellular grid space.

Returns: its embedding in the Euclidean space.

◆ embedSCell() [2/2]

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

void DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::embedSCell	(	const SCell &	scell,
		RealPoint &	x,
		RealVector &	grad
	)		const

Maps a signed cell to its corresponding gradient vector in the Euclidean space, by a linear guess of its position. NB: the signed is not used.

Parameters

scell	any cell in the cellular grid space.
x	its embedding in the Euclidean space.
grad	(returns) its gradient vector at the point given by the current embedder in the Euclidean space.

◆ gradientMap()

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

GradientMap DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::gradientMap ( ) const

Returns: the corresponding gradient map.

◆ init()

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

void DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::init	(	ConstAlias< KSpace >	K,
		ConstAlias< ImplicitFunctionDiff1 >	f,
		ConstAlias< Embedder >	e
	)

Initializes the embedder with the space K, the implicit function f, the digital embedder e.

Parameters

K	any cellular grid space.
f	an implicit function
e	a digital embedder (like a GaussDigitizer).

◆ isValid()

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

bool DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::isValid ( ) const

Checks the validity/consistency of the object.

Returns: 'true' if the object is valid, 'false' otherwise.

◆ operator()()

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

RealPoint DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::operator() ( const Cell & cell ) const

Maps a cell to its corresponding point in the Euclidean space, by a linear guess of its position.

Parameters

cell	any cell in the cellular grid space.

Returns: its embedding in the Euclidean space.

Referenced by DGtal::ImplicitFunctionDiff1LinearCellEmbedderGradientMap< TKSpace, TImplicitFunctionDiff1, TEmbedder >::operator()().

◆ operator=()

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

ImplicitFunctionDiff1LinearCellEmbedder & DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::operator= ( const ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder > & other )

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'.

Referenced by DGtal::ImplicitFunctionDiff1LinearCellEmbedderGradientMap< TKSpace, TImplicitFunctionDiff1, TEmbedder >::operator=().

◆ selfDisplay()

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

void DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

Field Documentation

◆ myPtrEmbedder

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

const Embedder* DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::myPtrEmbedder

protected

A pointer on the digital embedder.

Definition at line 240 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ myPtrFct

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

const ImplicitFunctionDiff1* DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::myPtrFct

protected

A pointer on the implicit function.

Definition at line 238 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

◆ myPtrK

template<typename TKSpace , typename TImplicitFunctionDiff1 , typename TEmbedder >

const KSpace* DGtal::ImplicitFunctionDiff1LinearCellEmbedder< TKSpace, TImplicitFunctionDiff1, TEmbedder >::myPtrK

protected

A pointer on the cellular grid space.

Definition at line 236 of file ImplicitFunctionDiff1LinearCellEmbedder.h.

The documentation for this class was generated from the following file:

ImplicitFunctionDiff1LinearCellEmbedder.h

Public Types

Public Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Member Typedef Documentation

◆ Argument

◆ Cell

◆ Embedder

◆ GradientMap

◆ ImplicitFctValue

◆ ImplicitFunctionDiff1

◆ KSpace

◆ Point

◆ RealPoint

◆ RealVector

◆ SCell

◆ Space

◆ Value

Constructor & Destructor Documentation

◆ ImplicitFunctionDiff1LinearCellEmbedder() [1/2]

◆ ~ImplicitFunctionDiff1LinearCellEmbedder()

◆ ImplicitFunctionDiff1LinearCellEmbedder() [2/2]

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT() [1/3]

◆ BOOST_CONCEPT_ASSERT() [2/3]

◆ BOOST_CONCEPT_ASSERT() [3/3]

◆ embed() [1/2]

◆ embed() [2/2]

◆ embedCell() [1/2]

◆ embedCell() [2/2]

◆ embedSCell() [1/2]

◆ embedSCell() [2/2]

◆ gradientMap()

◆ init()

◆ isValid()

◆ operator()()

◆ operator=()

◆ selfDisplay()

Field Documentation

◆ myPtrEmbedder

◆ myPtrFct

◆ myPtrK