DGtal::ImplicitNorm1Ball< TSpace > Class Template Reference

Aim: model of CEuclideanOrientedShape and CEuclideanBoundedShape concepts to create a ball for the L_1 norm in nD. More...

#include <DGtal/shapes/implicit/ImplicitNorm1Ball.h>

Public Types
typedef ImplicitNorm1Ball< TSpace >	Self
typedef TSpace	Space
typedef Space::RealPoint	RealPoint
typedef double	Value

Public Member Functions
	ImplicitNorm1Ball (const RealPoint &aCenter, const double &aHalfWidth)
	~ImplicitNorm1Ball ()
double	operator() (const RealPoint &aPoint) const
bool	isInside (const RealPoint &aPoint) const
Orientation	orientation (const RealPoint &aPoint) const
RealPoint	getLowerBound () const
RealPoint	getUpperBound () const
RealPoint	center () const
void	moveTo (const RealPoint &newCenter)
void	selfDisplay (std::ostream &out) const
bool	isValid () const

Protected Member Functions
	ImplicitNorm1Ball ()

Private Member Functions
ImplicitNorm1Ball &	operator= (const ImplicitNorm1Ball &other)

Private Attributes
RealPoint	myCenter
	Ball center. More...
double	myHalfWidth
	Ball HalfWidth. More...

Detailed Description

template<typename TSpace>
class DGtal::ImplicitNorm1Ball< TSpace >

Aim: model of CEuclideanOrientedShape and CEuclideanBoundedShape concepts to create a ball for the L_1 norm in nD.

Description of template class 'ImplicitNorm1Ball'

Template Parameters

TSpace

the Digital space definition.

Definition at line 59 of file ImplicitNorm1Ball.h.

Member Typedef Documentation

RealPoint

template<typename TSpace >

typedef Space::RealPoint DGtal::ImplicitNorm1Ball< TSpace >::RealPoint

Definition at line 65 of file ImplicitNorm1Ball.h.

Self

template<typename TSpace >

typedef ImplicitNorm1Ball<TSpace> DGtal::ImplicitNorm1Ball< TSpace >::Self

Definition at line 63 of file ImplicitNorm1Ball.h.

Space

template<typename TSpace >

typedef TSpace DGtal::ImplicitNorm1Ball< TSpace >::Space

Definition at line 64 of file ImplicitNorm1Ball.h.

Value

template<typename TSpace >

typedef double DGtal::ImplicitNorm1Ball< TSpace >::Value

Definition at line 66 of file ImplicitNorm1Ball.h.

Constructor & Destructor Documentation

ImplicitNorm1Ball() [1/2]

template<typename TSpace >

DGtal::ImplicitNorm1Ball< TSpace >::ImplicitNorm1Ball ( const RealPoint &  aCenter, const double &  aHalfWidth  )

inline

Constructor. Contructs a ball with center aCenter and width aWidth.

Parameters

aCenter	the cube center.
aHalfWidth	the cube half-width.

Definition at line 75 of file ImplicitNorm1Ball.h.

                                                                         :
      myCenter(aCenter),
      myHalfWidth(aHalfWidth)
    {};

~ImplicitNorm1Ball()

template<typename TSpace >

DGtal::ImplicitNorm1Ball< TSpace >::~ImplicitNorm1Ball

(

)

Destructor.

ImplicitNorm1Ball() [2/2]

template<typename TSpace >

DGtal::ImplicitNorm1Ball< TSpace >::ImplicitNorm1Ball ( )

protected

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

Member Function Documentation

center()

template<typename TSpace >

RealPoint DGtal::ImplicitNorm1Ball< TSpace >::center ( ) const

inline

Returns

the center of the star-shaped object.

Definition at line 157 of file ImplicitNorm1Ball.h.

    {
      return myCenter;
    }

References DGtal::ImplicitNorm1Ball< TSpace >::myCenter.

getLowerBound()

template<typename TSpace >

RealPoint DGtal::ImplicitNorm1Ball< TSpace >::getLowerBound ( ) const

inline

Returns the lower bound of the Shape bounding box.

Returns

the lower bound point.

Definition at line 137 of file ImplicitNorm1Ball.h.

    {
      return (myCenter - RealPoint::diagonal(myHalfWidth));
    }

References DGtal::PointVector< dim, TEuclideanRing, TContainer >::diagonal(), DGtal::ImplicitNorm1Ball< TSpace >::myCenter, and DGtal::ImplicitNorm1Ball< TSpace >::myHalfWidth.

getUpperBound()

template<typename TSpace >

RealPoint DGtal::ImplicitNorm1Ball< TSpace >::getUpperBound ( ) const

inline

Returns the upper bound of the Shape bounding box.

Returns

the upper bound point.

Definition at line 149 of file ImplicitNorm1Ball.h.

    {
      return (myCenter + RealPoint::diagonal(myHalfWidth));
    }

References DGtal::PointVector< dim, TEuclideanRing, TContainer >::diagonal(), DGtal::ImplicitNorm1Ball< TSpace >::myCenter, and DGtal::ImplicitNorm1Ball< TSpace >::myHalfWidth.

isInside()

template<typename TSpace >

bool DGtal::ImplicitNorm1Ball< TSpace >::isInside ( const RealPoint &  aPoint ) const

inline

Return true if the given point belongs to the shape.

Parameters

aPoint

the point to evalute the function at.

Returns

true if aPoint belongs to the shape.

Definition at line 111 of file ImplicitNorm1Ball.h.

    {
      return this->operator()(aPoint) >0.0;
    }

References DGtal::ImplicitNorm1Ball< TSpace >::operator()().

isValid()

template<typename TSpace >

bool DGtal::ImplicitNorm1Ball< TSpace >::isValid

(

)

const

Checks the validity/consistency of the object.

Returns

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

moveTo()

template<typename TSpace >

void DGtal::ImplicitNorm1Ball< TSpace >::moveTo ( const RealPoint &  newCenter )

inline

Modify the shape center

Parameters

newCenter

the new center position

Definition at line 167 of file ImplicitNorm1Ball.h.

    {
      myCenter = newCenter;
    }

References DGtal::ImplicitNorm1Ball< TSpace >::myCenter.

operator()()

template<typename TSpace >

double DGtal::ImplicitNorm1Ball< TSpace >::operator() ( const RealPoint &  aPoint ) const

inline

Operator() of the implicit function. Given a point, it returns the function value at p. In Shapes, positive values are used to construct a set.

Parameters

aPoint

the point to evalute the function at.

Returns

the distance of aPoint to the ball center.

Definition at line 99 of file ImplicitNorm1Ball.h.

    {
      return (aPoint - myCenter ).norm(RealPoint::L_1);
    }

References aPoint(), DGtal::PointVector< dim, TEuclideanRing, TContainer >::L_1, and DGtal::ImplicitNorm1Ball< TSpace >::myCenter.

Referenced by DGtal::ImplicitNorm1Ball< TSpace >::isInside().

operator=()

template<typename TSpace >

ImplicitNorm1Ball & DGtal::ImplicitNorm1Ball< TSpace >::operator= ( const ImplicitNorm1Ball< TSpace > &  other )

private

Assignment.

Parameters

other

the object to copy.

Returns

a reference on 'this'. Forbidden by default.

orientation()

template<typename TSpace >

Orientation DGtal::ImplicitNorm1Ball< TSpace >::orientation ( const RealPoint &  aPoint ) const

inline

Definition at line 119 of file ImplicitNorm1Ball.h.

    {
      if (this->operator()(aPoint) > 0.0)
        return INSIDE;
      else
        if (this->operator()(aPoint) < 0.0)
          return OUTSIDE;
        else
          return ON;
    }

References DGtal::INSIDE, DGtal::ON, and DGtal::OUTSIDE.

selfDisplay()

template<typename TSpace >

void DGtal::ImplicitNorm1Ball< TSpace >::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

myCenter

template<typename TSpace >

RealPoint DGtal::ImplicitNorm1Ball< TSpace >::myCenter

private

Ball center.

Definition at line 193 of file ImplicitNorm1Ball.h.

Referenced by DGtal::ImplicitNorm1Ball< TSpace >::center(), DGtal::ImplicitNorm1Ball< TSpace >::getLowerBound(), DGtal::ImplicitNorm1Ball< TSpace >::getUpperBound(), DGtal::ImplicitNorm1Ball< TSpace >::moveTo(), and DGtal::ImplicitNorm1Ball< TSpace >::operator()().

myHalfWidth

template<typename TSpace >

double DGtal::ImplicitNorm1Ball< TSpace >::myHalfWidth

private

Ball HalfWidth.

Definition at line 196 of file ImplicitNorm1Ball.h.

Referenced by DGtal::ImplicitNorm1Ball< TSpace >::getLowerBound(), and DGtal::ImplicitNorm1Ball< TSpace >::getUpperBound().

---

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

• ImplicitNorm1Ball.h