Aim: The concept CAdjacency defines an elementary adjacency relation between points of a digital space. More...

#include <DGtal/topology/CAdjacency.h>

Inheritance diagram for DGtal::concepts::CAdjacency< Adj >:

Public Types
typedef Adj::Space	Space

typedef Adj::Point	Point

typedef Adj::Adjacency	Adjacency

Public Types inherited from DGtal::concepts::CUndirectedSimpleLocalGraph< Adj >
typedef T::Vertex	Vertex

typedef T::Size	Size

typedef T::VertexSet	VertexSet

Public Member Functions
	BOOST_CONCEPT_USAGE (CAdjacency)

Public Member Functions inherited from DGtal::concepts::CUndirectedSimpleLocalGraph< Adj >
	BOOST_CONCEPT_ASSERT ((CIntegralNumber< Size >))

	BOOST_CONCEPT_ASSERT ((boost::DefaultConstructible< Vertex >))

	BOOST_CONCEPT_ASSERT ((boost::Assignable< Vertex >))

	BOOST_CONCEPT_ASSERT ((boost::CopyConstructible< Vertex >))

	BOOST_CONCEPT_USAGE (CUndirectedSimpleLocalGraph)

void	checkConstConstraints () const

Private Attributes
Adj	myAdj

Point	myP1

Point	myP2

bool	myBool

std::back_insert_iterator< std::vector< Point > >	myInserter

Detailed Description

template<typename Adj>
struct DGtal::concepts::CAdjacency< Adj >

Aim: The concept CAdjacency defines an elementary adjacency relation between points of a digital space.

DescriptionDescription of concept 'CAdjacency'

It thus distinguishes which points are close and which points are further away in this space. Adjacency relations are used to define a digital topology, in the sense of Rosenfeld or in the sense of Herman. In other words, and adjacency relation define a neighborhood graph on the points of a digital domain.

Refinement of

CUndirectedSimpleLocalGraph

Associated types (must be defined in the model):

Space: the space of the adjacency.
Point: the digital point type.
Adjacency: the type of the adjacency itself.

Notations

Adj : A type that is a model of CAdjacency
adj : Object of type Adj.
p1, p2 : an object of type Point.

Definitions

Valid expressions and semantics

Name	Expression	Type requirements	Return type	Precondition	Semantics	Post condition	Complexity
adjacency test	adj.isAdjacentTo( p1, p2 )	`p1` and `p2` of same type Point.	`bool`		Return 'true' when the two points are adjacent according to the adjacency relation `adj`
proper adjacency test	adj.isProperlyAdjacentTo( p1, p2 )	`p1` and `p2` of same type Point.	`bool`		Return 'true' when the two points are adjacent according to the adjacency relation `adj` and if `p1` different from `p2`

Invariants

Models

MetricAdjacency, DomainAdjacency

Notes

Definition at line 99 of file CAdjacency.h.

Member Typedef Documentation

◆ Adjacency

template<typename Adj >

typedef Adj::Adjacency DGtal::concepts::CAdjacency< Adj >::Adjacency

Definition at line 106 of file CAdjacency.h.

◆ Point

template<typename Adj >

typedef Adj::Point DGtal::concepts::CAdjacency< Adj >::Point

Definition at line 105 of file CAdjacency.h.

◆ Space

template<typename Adj >

typedef Adj::Space DGtal::concepts::CAdjacency< Adj >::Space

Definition at line 104 of file CAdjacency.h.

Member Function Documentation

◆ BOOST_CONCEPT_USAGE()

template<typename Adj >

DGtal::concepts::CAdjacency< Adj >::BOOST_CONCEPT_USAGE ( CAdjacency< Adj > )

inline

Definition at line 108 of file CAdjacency.h.

    {
      // check isAdjacentTo
      ConceptUtils::sameType( myBool, myAdj.isAdjacentTo( myP1, myP2 ) );
      // check isProperlyAdjacentTo
      ConceptUtils::sameType( myBool, 
            myAdj.isProperlyAdjacentTo( myP1, myP2 ) );
    }