DGtal::CircleFrom3Points< TPoint > Class Template Reference

Aim: Represents a circle uniquely defined by three 2D points and that is able to return for any given 2D point its signed distance to itself. More...

#include <DGtal/shapes/fromPoints/CircleFrom3Points.h>

Public Types
typedef TPoint::Coordinate	Coordinate
typedef Coordinate	Distance
typedef TPoint	Point
typedef TPoint	Vector

Public Member Functions
	CircleFrom3Points ()
	CircleFrom3Points (const Point &aFirstPoint, const Point &aSecondPoint, const Point &aThirdPoint)
void	init (const Point &aFirstPoint, const Point &aSecondPoint, const Point &aThirdPoint)
	CircleFrom3Points (const CircleFrom3Points &other)
CircleFrom3Points &	operator= (const CircleFrom3Points &other)
	~CircleFrom3Points ()
Distance	signedDistance (const Point &aP) const
bool	isValid () const
void	getParameters (double &cx, double &cy, double &rr) const
double	getCurvature () const
const Point &	p () const
const Point &	q () const
const Point &	r () const
void	selfDisplay (std::ostream &out) const
std::string	className () const

Private Member Functions
	BOOST_STATIC_ASSERT ((TPoint::dimension==2))

Private Attributes
Point	myP
Point	myQ
Point	myR

Detailed Description

template<typename TPoint>
class DGtal::CircleFrom3Points< TPoint >

Aim: Represents a circle uniquely defined by three 2D points and that is able to return for any given 2D point its signed distance to itself.

Template Parameters

TPoint

a type of points.

Definition at line 66 of file CircleFrom3Points.h.

Member Typedef Documentation

Coordinate

template<typename TPoint >

typedef TPoint::Coordinate DGtal::CircleFrom3Points< TPoint >::Coordinate

Definition at line 74 of file CircleFrom3Points.h.

Distance

template<typename TPoint >

typedef Coordinate DGtal::CircleFrom3Points< TPoint >::Distance

Definition at line 75 of file CircleFrom3Points.h.

Point

template<typename TPoint >

typedef TPoint DGtal::CircleFrom3Points< TPoint >::Point

Definition at line 76 of file CircleFrom3Points.h.

Vector

template<typename TPoint >

typedef TPoint DGtal::CircleFrom3Points< TPoint >::Vector

Definition at line 77 of file CircleFrom3Points.h.

Constructor & Destructor Documentation

CircleFrom3Points() [1/3]

template<typename TPoint >

DGtal::CircleFrom3Points< TPoint >::CircleFrom3Points

(

)

Default constructor.

CircleFrom3Points() [2/3]

template<typename TPoint >

DGtal::CircleFrom3Points< TPoint >::CircleFrom3Points	(	const Point &	aFirstPoint,
		const Point &	aSecondPoint,
		const Point &	aThirdPoint
	)

Constructor.

Parameters

aFirstPoint	a point
aSecondPoint	a second point
aThirdPoint	a third point

CircleFrom3Points() [3/3]

template<typename TPoint >

DGtal::CircleFrom3Points< TPoint >::CircleFrom3Points

(

const CircleFrom3Points< TPoint > &

other

)

Copy constructor.

Parameters

other

the object to clone.

~CircleFrom3Points()

template<typename TPoint >

DGtal::CircleFrom3Points< TPoint >::~CircleFrom3Points

(

)

Destructor. Does nothing

Member Function Documentation

BOOST_STATIC_ASSERT()

template<typename TPoint >

DGtal::CircleFrom3Points< TPoint >::BOOST_STATIC_ASSERT ( (TPoint::dimension==2)  )

private

className()

template<typename TPoint >

std::string DGtal::CircleFrom3Points< TPoint >::className

(

)

const

Returns

the style name used for drawing this object.

getCurvature()

template<typename TPoint >

double DGtal::CircleFrom3Points< TPoint >::getCurvature

(

)

const

Returns

circle curvature

getParameters()

template<typename TPoint >

void DGtal::CircleFrom3Points< TPoint >::getParameters	(	double &	cx,
		double &	cy,
		double &	rr
	)		const

Computes the parameters of the circle

Parameters

cx	returned x-coordinate of the circle
cy	returned y-coordinate of the circle
rr	returned radius of the circle

init()

template<typename TPoint >

void DGtal::CircleFrom3Points< TPoint >::init	(	const Point &	aFirstPoint,
		const Point &	aSecondPoint,
		const Point &	aThirdPoint
	)

Init.

Parameters

aFirstPoint	a point
aSecondPoint	a second point
aThirdPoint	a third point

isValid()

template<typename TPoint >

bool DGtal::CircleFrom3Points< TPoint >::isValid

(

)

const

Checks the validity/consistency of the object.

Returns

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

operator=()

template<typename TPoint >

CircleFrom3Points & DGtal::CircleFrom3Points< TPoint >::operator=

(

const CircleFrom3Points< TPoint > &

other

)

Assignment.

Parameters

other

the object to copy.

Returns

a reference on 'this'.

p()

template<typename TPoint >

const Point & DGtal::CircleFrom3Points< TPoint >::p ( ) const

inline

Returns

the first point through which the circle passes.

Definition at line 157 of file CircleFrom3Points.h.

    {
      return myP;
    };

References DGtal::CircleFrom3Points< TPoint >::myP.

q()

template<typename TPoint >

const Point & DGtal::CircleFrom3Points< TPoint >::q ( ) const

inline

Returns

the second point through which the circle passes.

Definition at line 165 of file CircleFrom3Points.h.

    {
      return myQ;
    };

References DGtal::CircleFrom3Points< TPoint >::myQ.

r()

template<typename TPoint >

const Point & DGtal::CircleFrom3Points< TPoint >::r ( ) const

inline

Returns

the third point through which the circle passes.

Definition at line 173 of file CircleFrom3Points.h.

    {
      return myR;
    };

References DGtal::CircleFrom3Points< TPoint >::myR.

selfDisplay()

template<typename TPoint >

void DGtal::CircleFrom3Points< TPoint >::selfDisplay

(

std::ostream &

out

)

const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

signedDistance()

template<typename TPoint >

Distance DGtal::CircleFrom3Points< TPoint >::signedDistance

(

const Point &

aP

)

const

Computes the signed distance of aP to the circle

Parameters

aP	the point to be tested.

Returns

the signed distance.

Field Documentation

myP

template<typename TPoint >

Point DGtal::CircleFrom3Points< TPoint >::myP

private

First point through which the circle passes

Definition at line 201 of file CircleFrom3Points.h.

Referenced by DGtal::CircleFrom3Points< TPoint >::p().

myQ

template<typename TPoint >

Point DGtal::CircleFrom3Points< TPoint >::myQ

private

Second point through which the circle passes

Definition at line 205 of file CircleFrom3Points.h.

Referenced by DGtal::CircleFrom3Points< TPoint >::q().

myR

template<typename TPoint >

Point DGtal::CircleFrom3Points< TPoint >::myR

private

Third point through which the circle passes

Definition at line 209 of file CircleFrom3Points.h.

Referenced by DGtal::CircleFrom3Points< TPoint >::r().

---

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

• CircleFrom3Points.h