Aim: This class is an alias of ArithmeticalDSS for naive DSL. It represents a naive digital straight line (DSL), ie. the set of digital points \( (x,y) \in \mathbb{Z}^2 \) such that \( \mu \leq ax - by < \mu + \omega \) with \( a,b,\mu,\omega \in \mathbb{Z} \), \( \gcd(a,b) = 1 \) and \( \omega = \max(|a|,|b|) \). Note that any DSL such that \( \omega = \max(|a|,|b|) \) is simply 8-connected. More...

#include <DGtal/geometry/curves/ArithmeticalDSL.h>

Inheritance diagram for DGtal::NaiveDSL< TCoordinate, TInteger >:

[legend]

Public Types
typedef ArithmeticalDSL< TCoordinate, TInteger, 8 >	Super

typedef Super::Coordinate	Coordinate

typedef Super::Integer	Integer

Public Types inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 8 >
typedef TCoordinate	Coordinate

typedef TCoordinate	Integer

typedef ArithmeticalDSLKernel< Coordinate, adjacency >::Space	Space

typedef Space::Point	Point

typedef Space::Vector	Vector

typedef std::pair< Vector, Vector >	Steps

typedef Coordinate	Position

typedef std::pair< unsigned char, unsigned char >	Octant

typedef DGtal::ReverseIterator< ConstIterator >	ConstReverseIterator

Public Member Functions
	NaiveDSL (const Coordinate &aA, const Coordinate &aB, const Integer &aMu)

	NaiveDSL (const NaiveDSL &aOther)

NaiveDSL &	operator= (const NaiveDSL &aOther)

Public Member Functions inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 8 >
	BOOST_CONCEPT_ASSERT ((concepts::CInteger< Coordinate >))

	BOOST_CONCEPT_ASSERT ((concepts::CInteger< Integer >))

	ArithmeticalDSL (const Coordinate &aA, const Coordinate &aB, const Integer &aLowerIntercept, const Integer &aUpperIntercept, const Steps &aSteps, const Vector &aShift)

	ArithmeticalDSL (const Coordinate &aA, const Coordinate &aB, const Integer &aMu)

	ArithmeticalDSL (const ArithmeticalDSL &aOther)

ArithmeticalDSL &	operator= (const ArithmeticalDSL &aOther)

ArithmeticalDSL	negate () const

bool	equalsTo (const ArithmeticalDSL &aOther) const

bool	operator== (const ArithmeticalDSL &aOther) const

bool	operator!= (const ArithmeticalDSL &aOther) const

bool	sameOctant (const ArithmeticalDSL &aOther, typename Octant::first_type *theOctant) const

bool	isUpperLeaningPoint (const Point &aPoint) const

bool	isLowerLeaningPoint (const Point &aPoint) const

Octant	octant () const

	~ArithmeticalDSL ()

void	selfDisplay (std::ostream &out) const

bool	checkShiftAndSteps () const

bool	isValid () const

Coordinate	a () const

Coordinate	b () const

Integer	mu () const

Integer	omega () const

Position	patternLength () const

Vector	shift () const

Steps	steps () const

Integer	remainder (const Point &aPoint) const

Integer	orthogonalPosition (const Point &aPoint) const

Position	position (const Point &aPoint) const

Point	getPoint () const

Point	getPoint (const Position &aPosition) const

bool	before (const Point &aP1, const Point &aP2) const

bool	beforeOrEqual (const Point &aP1, const Point &aP2) const

bool	isInDSL (const Point &aPoint) const

bool	operator() (const Point &aPoint) const

ConstIterator	begin (const Point &aPoint) const

ConstIterator	end (const Point &aPoint) const

ConstReverseIterator	rbegin (const Point &aPoint) const

ConstReverseIterator	rend (const Point &aPoint) const

Additional Inherited Members
Static Public Member Functions inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 8 >
static Integer	remainder (const Coordinate &aA, const Coordinate &aB, const Point &aPoint)

static Coordinate	toCoordinate (const Integer &aI)

Static Public Attributes inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 8 >
static const unsigned short	foregroundAdjacency

Protected Attributes inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 8 >
Steps	mySteps

Vector	myShift

Coordinate	myA

Coordinate	myB

Integer	myLowerBound

Integer	myUpperBound

Detailed Description

template<typename TCoordinate, typename TInteger = TCoordinate>
class DGtal::NaiveDSL< TCoordinate, TInteger >

Aim: This class is an alias of ArithmeticalDSS for naive DSL. It represents a naive digital straight line (DSL), ie. the set of digital points \( (x,y) \in \mathbb{Z}^2 \) such that \( \mu \leq ax - by < \mu + \omega \) with \( a,b,\mu,\omega \in \mathbb{Z} \), \( \gcd(a,b) = 1 \) and \( \omega = \max(|a|,|b|) \). Note that any DSL such that \( \omega = \max(|a|,|b|) \) is simply 8-connected.

[Reveilles, 1991 : [102]].

As a quick start, a naive DSL can be declared and constructed as follows:

// Construct a naive DSL from a, b, mu

NaiveDSL<Integer> line( 2, 5, 0 );

Then, within a window defined by two points (called firstPoint and lastPoint below), you can iterate over the DSL points:

  // Draw the DSL points between firstPoint and lastPoint
  for ( NaiveDSL<Integer>::ConstIterator 
          it = line.begin(firstPoint), 
          ite = line.end(lastPoint);
        it != ite; ++it )
    {
      board << SetMode( it->className(), "Paving" )
            << *it; //Draw the point
    }

See Digital straight lines and segments for further details.

Template Parameters

TCoordinate	a model of integer for the DGtal point coordinates and the slope parameters.
TInteger	a model of integer for the intercepts and the remainders that represents a larger range of integers than TCoordinate.

This class is a model of CPointFunctor and of CConstBidirectionalRange.

See also: ArithmeticalDSL NaiveDSL StandardDSL; exampleArithmeticalDSL.cpp

Examples: geometry/curves/exampleArithmeticalDSL.cpp, and geometry/curves/exampleArithmeticalDSS.cpp.

Definition at line 776 of file ArithmeticalDSL.h.

Member Typedef Documentation

◆ Coordinate

template<typename TCoordinate , typename TInteger = TCoordinate>

Super::Coordinate DGtal::NaiveDSL< TCoordinate, TInteger >::Coordinate

Definition at line 784 of file ArithmeticalDSL.h.

◆ Integer

template<typename TCoordinate , typename TInteger = TCoordinate>

Super::Integer DGtal::NaiveDSL< TCoordinate, TInteger >::Integer

Definition at line 785 of file ArithmeticalDSL.h.

◆ Super

template<typename TCoordinate , typename TInteger = TCoordinate>

ArithmeticalDSL<TCoordinate, TInteger, 8> DGtal::NaiveDSL< TCoordinate, TInteger >::Super

Type of base class.

Definition at line 783 of file ArithmeticalDSL.h.

Constructor & Destructor Documentation

◆ NaiveDSL() [1/2]

template<typename TCoordinate , typename TInteger = TCoordinate>

DGtal::NaiveDSL< TCoordinate, TInteger >::NaiveDSL	(	const Coordinate &	aA,
		const Coordinate &	aB,
		const Integer &	aMu )

Constructor.

Parameters

aA	y-component of the direction vector
aB	x-component of the direction vector
aMu	intercept

◆ NaiveDSL() [2/2]

template<typename TCoordinate , typename TInteger = TCoordinate>

DGtal::NaiveDSL< TCoordinate, TInteger >::NaiveDSL ( const NaiveDSL< TCoordinate, TInteger > & aOther )

Copy constructor.

Parameters

aOther the object to clone.

Member Function Documentation

◆ operator=()

template<typename TCoordinate , typename TInteger = TCoordinate>

NaiveDSL & DGtal::NaiveDSL< TCoordinate, TInteger >::operator= ( const NaiveDSL< TCoordinate, TInteger > & aOther )

Assignment.

Parameters

aOther the object to copy.

Returns: a reference on 'this'.

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

ArithmeticalDSL.h

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Coordinate

◆ Integer

◆ Super

Constructor & Destructor Documentation

◆ NaiveDSL() [1/2]

◆ NaiveDSL() [2/2]

Member Function Documentation

◆ operator=()