- Generated on for DGtal by
1.14.0
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DGtal 2.0.0
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Aim: This class is an alias of ArithmeticalDSS for standard DSL. It represents a standard 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 \( \omega = |a| + |b| \). Note that any DSL such that \( \omega = |a| + |b| \) is simply 4-connected. More...
#include <DGtal/geometry/curves/ArithmeticalDSL.h>
Public Types | |
| typedef ArithmeticalDSL< TCoordinate, TInteger, 4 > | Super |
| typedef Super::Coordinate | Coordinate |
| typedef Super::Integer | Integer |
| Public Types inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 4 > | |
| 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 | |
| StandardDSL (const Coordinate &aA, const Coordinate &aB, const Integer &aMu) | |
| StandardDSL (const StandardDSL &aOther) | |
| StandardDSL & | operator= (const StandardDSL &aOther) |
| Public Member Functions inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 4 > | |
| BOOST_CONCEPT_ASSERT ((concepts::CInteger< Coordinate >)) | |
| ArithmeticalDSL (const Coordinate &aA, const Coordinate &aB, const Integer &aLowerIntercept, const Integer &aUpperIntercept, const Steps &aSteps, const Vector &aShift) | |
| 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 | orthogonalPosition (const Point &aPoint) const |
| Position | position (const Point &aPoint) const |
| Point | getPoint () 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, 4 > | |
| 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, 4 > | |
| static const unsigned short | foregroundAdjacency |
| Protected Attributes inherited from DGtal::ArithmeticalDSL< TCoordinate, TCoordinate, 4 > | |
| Steps | mySteps |
| Vector | myShift |
| Coordinate | myA |
| Coordinate | myB |
| Integer | myLowerBound |
| Integer | myUpperBound |
Aim: This class is an alias of ArithmeticalDSS for standard DSL. It represents a standard 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 \( \omega = |a| + |b| \). Note that any DSL such that \( \omega = |a| + |b| \) is simply 4-connected.
[Reveilles, 1991 : [102]].
A standard DSL can be declared and constructed as follows:
See Digital straight lines and segments for further details.
| 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.
Definition at line 709 of file ArithmeticalDSL.h.
| typedef Super::Coordinate DGtal::StandardDSL< TCoordinate, TInteger >::Coordinate |
Definition at line 717 of file ArithmeticalDSL.h.
| typedef Super::Integer DGtal::StandardDSL< TCoordinate, TInteger >::Integer |
Definition at line 718 of file ArithmeticalDSL.h.
| typedef ArithmeticalDSL<TCoordinate, TInteger, 4> DGtal::StandardDSL< TCoordinate, TInteger >::Super |
Type of base class.
Definition at line 716 of file ArithmeticalDSL.h.
| DGtal::StandardDSL< TCoordinate, TInteger >::StandardDSL | ( | const Coordinate & | aA, |
| const Coordinate & | aB, | ||
| const Integer & | aMu ) |
Constructor.
| aA | y-component of the direction vector |
| aB | x-component of the direction vector |
| aMu | intercept |
Referenced by operator=(), and StandardDSL().
| DGtal::StandardDSL< TCoordinate, TInteger >::StandardDSL | ( | const StandardDSL< TCoordinate, TInteger > & | aOther | ) |
| StandardDSL & DGtal::StandardDSL< TCoordinate, TInteger >::operator= | ( | const StandardDSL< TCoordinate, TInteger > & | aOther | ) |
Assignment.
| aOther | the object to copy. |
References StandardDSL().
1.14.0