Aim: KForm represents discrete kforms in the dec package. More...

#include <DGtal/dec/KForm.h>

Public Types
typedef TCalculus	Calculus

typedef Calculus::DenseVector	Container

typedef Calculus::Scalar	Scalar

typedef Calculus::SCell	SCell

typedef Calculus::Index	Index

Public Member Functions
	BOOST_STATIC_ASSERT ((order >=0))

	BOOST_STATIC_ASSERT ((order<=Calculus::dimensionEmbedded))

	KForm (ConstAlias< Calculus > calculus)

	KForm (ConstAlias< Calculus > calculus, const Container &container)

KForm &	operator= (const KForm &other)

void	selfDisplay (std::ostream &out) const

std::string	className () const

void	clear ()

SCell	getSCell (const Index &index) const

Index	length () const

bool	isValid () const

Static Public Member Functions
static KForm< TCalculus, order, duality >	ones (ConstAlias< Calculus > calculus)

static KForm< TCalculus, order, duality >	zeros (ConstAlias< Calculus > calculus)

static KForm< TCalculus, order, duality >	dirac (ConstAlias< Calculus > calculus, const typename Calculus::Cell &cell)

Data Fields
Container	myContainer

const Calculus *	myCalculus

Protected Member Functions
	KForm ()

Detailed Description

template<typename TCalculus, Order order, Duality duality>
class DGtal::KForm< TCalculus, order, duality >

Aim: KForm represents discrete kforms in the dec package.

Description of template class 'KForm'

Template Parameters

TCalculus	should be DiscreteExteriorCalculus.
order	is the order of the kform.
duality	is the duality of the kform.

Definition at line 65 of file KForm.h.

Member Typedef Documentation

◆ Calculus

template<typename TCalculus , Order order, Duality duality>

typedef TCalculus DGtal::KForm< TCalculus, order, duality >::Calculus

Definition at line 69 of file KForm.h.

◆ Container

template<typename TCalculus , Order order, Duality duality>

typedef Calculus::DenseVector DGtal::KForm< TCalculus, order, duality >::Container

Definition at line 74 of file KForm.h.

◆ Index

template<typename TCalculus , Order order, Duality duality>

typedef Calculus::Index DGtal::KForm< TCalculus, order, duality >::Index

Definition at line 77 of file KForm.h.

◆ Scalar

template<typename TCalculus , Order order, Duality duality>

typedef Calculus::Scalar DGtal::KForm< TCalculus, order, duality >::Scalar

Definition at line 75 of file KForm.h.

◆ SCell

template<typename TCalculus , Order order, Duality duality>

typedef Calculus::SCell DGtal::KForm< TCalculus, order, duality >::SCell

Definition at line 76 of file KForm.h.

Constructor & Destructor Documentation

◆ KForm() [1/3]

template<typename TCalculus , Order order, Duality duality>

DGtal::KForm< TCalculus, order, duality >::KForm ( ConstAlias< Calculus > calculus )

Constructor.

Parameters

calculus the discrete exterior calculus to use.

◆ KForm() [2/3]

template<typename TCalculus , Order order, Duality duality>

DGtal::KForm< TCalculus, order, duality >::KForm	(	ConstAlias< Calculus >	calculus,
		const Container &	container )

Constructor.

Parameters

calculus	the discrete exterior calculus to use.
container	the container to copy.

◆ KForm() [3/3]

template<typename TCalculus , Order order, Duality duality>

DGtal::KForm< TCalculus, order, duality >::KForm ( )

protected

Constructor. Forbidden by default (protected to avoid g++ warnings).

Member Function Documentation

◆ BOOST_STATIC_ASSERT() [1/2]

template<typename TCalculus , Order order, Duality duality>

DGtal::KForm< TCalculus, order, duality >::BOOST_STATIC_ASSERT ( (order >=0) )

◆ BOOST_STATIC_ASSERT() [2/2]

template<typename TCalculus , Order order, Duality duality>

DGtal::KForm< TCalculus, order, duality >::BOOST_STATIC_ASSERT ( (order<=Calculus::dimensionEmbedded) )

◆ className()

template<typename TCalculus , Order order, Duality duality>

std::string DGtal::KForm< TCalculus, order, duality >::className ( ) const

Get class name string "KForm".

◆ clear()

template<typename TCalculus , Order order, Duality duality>

void DGtal::KForm< TCalculus, order, duality >::clear ( )

Clear current k-form.

◆ dirac()

template<typename TCalculus , Order order, Duality duality>

static KForm< TCalculus, order, duality > DGtal::KForm< TCalculus, order, duality >::dirac	(	ConstAlias< Calculus >	calculus,
		const typename Calculus::Cell &	cell )

static

Create a kform with all values initialized to 0, except value associated with cell initialized to 1.

Parameters

calculus	the discrete exterior calculus to use.
cell	Dirac position.

◆ getSCell()

template<typename TCalculus , Order order, Duality duality>

SCell DGtal::KForm< TCalculus, order, duality >::getSCell ( const Index & index ) const

Get signed k-cell from index.

Parameters

index the index.

Returns: associated Khalimsky cell.

◆ isValid()

template<typename TCalculus , Order order, Duality duality>

bool DGtal::KForm< TCalculus, order, duality >::isValid ( ) const

Checks the validity/consistency of the object.

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

◆ length()

template<typename TCalculus , Order order, Duality duality>

Index DGtal::KForm< TCalculus, order, duality >::length ( ) const

Get k-form length.

Returns: k-form length.

Referenced by DGtal::dec_helper::diagonal().

◆ ones()

template<typename TCalculus , Order order, Duality duality>

static KForm< TCalculus, order, duality > DGtal::KForm< TCalculus, order, duality >::ones ( ConstAlias< Calculus > calculus )

static

Create a kform with all values initialized to 1.

Parameters

calculus the discrete exterior calculus to use.

Referenced by DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::initInputScalarFieldU2(), DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::initInputScalarFieldU2(), DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::initInputVectorFieldU2(), DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::initInputVectorFieldU2(), and DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::setEpsilon().

◆ operator=()

template<typename TCalculus , Order order, Duality duality>

KForm & DGtal::KForm< TCalculus, order, duality >::operator= ( const KForm< TCalculus, order, duality > & other )

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'.

◆ selfDisplay()

template<typename TCalculus , Order order, Duality duality>

void DGtal::KForm< TCalculus, order, duality >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

◆ zeros()

template<typename TCalculus , Order order, Duality duality>

static KForm< TCalculus, order, duality > DGtal::KForm< TCalculus, order, duality >::zeros ( ConstAlias< Calculus > calculus )

static

Create a kform with all values initialized to 0. Convenience wrapper for default constructor.

Parameters

calculus the discrete exterior calculus to use.

Referenced by DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::solveOneAlternateStep().

Field Documentation

◆ myCalculus

template<typename TCalculus , Order order, Duality duality>

const Calculus* DGtal::KForm< TCalculus, order, duality >::myCalculus

Pointer to const calculus.

Definition at line 136 of file KForm.h.

Referenced by DGtal::dec_helper::diagonal().

◆ myContainer

template<typename TCalculus , Order order, Duality duality>

Container DGtal::KForm< TCalculus, order, duality >::myContainer

Container used to actually hold the kform data.

Definition at line 131 of file KForm.h.

Referenced by DGtal::dec_helper::diagonal(), DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::diffV0(), DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::setUp(), DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::setUp(), DGtal::ATSolver2D< TKSpace, TLinearAlgebra >::solveOneAlternateStep(), and test_linear_structure().

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

KForm.h

Public Types

Public Member Functions

Static Public Member Functions

Data Fields

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ Calculus

◆ Container

◆ Index

◆ Scalar

◆ SCell

Constructor & Destructor Documentation

◆ KForm() [1/3]

◆ KForm() [2/3]

◆ KForm() [3/3]

Member Function Documentation

◆ BOOST_STATIC_ASSERT() [1/2]

◆ BOOST_STATIC_ASSERT() [2/2]

◆ className()

◆ clear()

◆ dirac()

◆ getSCell()

◆ isValid()

◆ length()

◆ ones()

◆ operator=()

◆ selfDisplay()

◆ zeros()

Field Documentation

◆ myCalculus

◆ myContainer