Aim: Model of the concept StarShaped represents any regular k-gon in the plane. More...

#include <DGtal/shapes/parametric/NGon2D.h>

Inheritance diagram for DGtal::NGon2D< TSpace >:

Public Types
typedef TSpace	Space

typedef Space::RealPoint	RealPoint

typedef Space::RealVector	RealVector

Public Types inherited from DGtal::StarShaped2D< TSpace >
typedef TSpace	Space

typedef Space::RealPoint	RealPoint

Public Member Functions
	NGon2D ()=delete

	NGon2D (const double x0, const double y0, const double r, const unsigned int k, const double phi)

	NGon2D (const RealPoint &aPoint, const double r, const unsigned int k, const double phi)

	NGon2D (const NGon2D &other)

NGon2D &	operator= (const NGon2D &other)=delete

	~NGon2D ()=default

RealPoint	getLowerBound () const

RealPoint	getUpperBound () const

RealPoint	center () const

void	moveTo (const RealPoint &newCenter)

double	parameter (const RealPoint &p) const

RealPoint	x (const double t) const

RealVector	xp (const double t) const

RealVector	xpp (const double t) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Public Member Functions inherited from DGtal::StarShaped2D< TSpace >
	StarShaped2D ()=default

	StarShaped2D (const StarShaped2D &other)=delete

StarShaped2D &	operator= (const StarShaped2D &other)=delete

virtual	~StarShaped2D ()=default

virtual RealPoint	interiorPoint () const

virtual RealPoint	getLowerBound () const =0

virtual RealPoint	getUpperBound () const =0

virtual RealPoint	center () const =0

virtual void	moveTo (const RealPoint &newCenter)=0

virtual double	parameter (const RealPoint &p) const =0

virtual RealPoint	x (const double t) const =0

virtual RealPoint	xp (const double t) const =0

virtual RealPoint	xpp (const double t) const =0

Orientation	orientation (const RealPoint &p) const

RealPoint	tangent (const double t) const

RealPoint	normal (const double t) const

double	curvature (const double t) const

double	arclength (const double t1, double t2, const unsigned int nb) const

RealPoint	findIntersection (const RealPoint &inner, const RealPoint &outer, const double epsilon) const

RealPoint	closestPointWithWitnesses (const RealPoint &p, const RealPoint &left, const RealPoint &right, const int step) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Private Attributes
RealPoint	myCenter

double	myRadius

unsigned int	myK

double	myPhi

Detailed Description

template<typename TSpace>
class DGtal::NGon2D< TSpace >

Aim: Model of the concept StarShaped represents any regular k-gon in the plane.

Description of template class 'NGon2D'

NB: A backport from ImaGene.

Definition at line 63 of file NGon2D.h.

Member Typedef Documentation

◆ RealPoint

template<typename TSpace >

typedef Space::RealPoint DGtal::NGon2D< TSpace >::RealPoint

Definition at line 69 of file NGon2D.h.

◆ RealVector

template<typename TSpace >

typedef Space::RealVector DGtal::NGon2D< TSpace >::RealVector

Definition at line 70 of file NGon2D.h.

◆ Space

template<typename TSpace >

typedef TSpace DGtal::NGon2D< TSpace >::Space

Definition at line 68 of file NGon2D.h.

Constructor & Destructor Documentation

◆ NGon2D() [1/4]

template<typename TSpace >

DGtal::NGon2D< TSpace >::NGon2D ( )

delete

Constructor. Forbidden by default.

◆ NGon2D() [2/4]

template<typename TSpace >

DGtal::NGon2D< TSpace >::NGon2D	(	const double	x0,
		const double	y0,
		const double	r,
		const unsigned int	k,
		const double	phi
	)

Constructor.

Parameters

x0	the x-coordinate of the circle center.
y0	the y-coordinate of the circle center.
r	the radius of the circle.
k	the number of faces of the k-gon.
phi	the phase of the ngon (radian).

◆ NGon2D() [3/4]

template<typename TSpace >

DGtal::NGon2D< TSpace >::NGon2D	(	const RealPoint &	aPoint,
		const double	r,
		const unsigned int	k,
		const double	phi
	)

Constructor.

Parameters

aPoint	the circle center.
r	the radius of the circle.
k	the number of faces of the k-gon.
phi	the phase of the ngon (radian).

◆ NGon2D() [4/4]

template<typename TSpace >

DGtal::NGon2D< TSpace >::NGon2D ( const NGon2D< TSpace > & other )

Copy constructor.

Parameters

other the object to clone.

◆ ~NGon2D()

template<typename TSpace >

DGtal::NGon2D< TSpace >::~NGon2D ( )

default

Destructor.

Member Function Documentation

◆ center()

template<typename TSpace >

RealPoint DGtal::NGon2D< TSpace >::center ( ) const

inlinevirtual

Returns: the center of the star-shaped object.

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 143 of file NGon2D.h.

    {
      return myCenter;
    }

References DGtal::NGon2D< TSpace >::myCenter.

◆ getLowerBound()

template<typename TSpace >

RealPoint DGtal::NGon2D< TSpace >::getLowerBound ( ) const

inlinevirtual

Returns: the lower bound of the shape bounding box.

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 126 of file NGon2D.h.

    {
      return myCenter - myRadius;
    }

References DGtal::NGon2D< TSpace >::myCenter, and DGtal::NGon2D< TSpace >::myRadius.

◆ getUpperBound()

template<typename TSpace >

RealPoint DGtal::NGon2D< TSpace >::getUpperBound ( ) const

inlinevirtual

Returns: the upper bound of the shape bounding box.

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 135 of file NGon2D.h.

    {
      return myCenter + myRadius;
    }

References DGtal::NGon2D< TSpace >::myCenter, and DGtal::NGon2D< TSpace >::myRadius.

◆ isValid()

template<typename TSpace >

bool DGtal::NGon2D< 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::NGon2D< TSpace >::moveTo ( const RealPoint & newCenter )

inlinevirtual

Modify the shape center

Parameters

newCenter the new center position

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 153 of file NGon2D.h.

    {
      myCenter = newCenter;
    }

References DGtal::NGon2D< TSpace >::myCenter.

◆ operator=()

template<typename TSpace >

NGon2D & DGtal::NGon2D< TSpace >::operator= ( const NGon2D< TSpace > & other )

delete

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'. Forbidden by default.

◆ parameter()

template<typename TSpace >

double DGtal::NGon2D< TSpace >::parameter ( const RealPoint & p ) const

virtual

Parameters

p	any point in the plane.

Returns: the angle parameter between 0 and 2*Pi corresponding to this point for the shape.

Implements DGtal::StarShaped2D< TSpace >.

◆ selfDisplay()

template<typename TSpace >

void DGtal::NGon2D< TSpace >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

◆ x()

template<typename TSpace >

RealPoint DGtal::NGon2D< TSpace >::x ( const double t ) const

virtual

Parameters

t	any angle between 0 and 2*Pi.

Returns: the vector (x(t),y(t)) which is the position on the shape boundary.

Implements DGtal::StarShaped2D< TSpace >.

◆ xp()

template<typename TSpace >

RealVector DGtal::NGon2D< TSpace >::xp ( const double t ) const

virtual

Parameters

t	any angle between 0 and 2*Pi.

Returns: the vector (x'(t),y'(t)) which is the tangent to the shape boundary.

Implements DGtal::StarShaped2D< TSpace >.

◆ xpp()

template<typename TSpace >

RealVector DGtal::NGon2D< TSpace >::xpp ( const double t ) const

virtual

Parameters

t	any angle between 0 and 2*Pi.

Returns: the vector (x''(t),y''(t)).

Implements DGtal::StarShaped2D< TSpace >.

Field Documentation

◆ myCenter

template<typename TSpace >

RealPoint DGtal::NGon2D< TSpace >::myCenter

private

Center of the circle.

Definition at line 197 of file NGon2D.h.

Referenced by DGtal::NGon2D< TSpace >::center(), DGtal::NGon2D< TSpace >::getLowerBound(), DGtal::NGon2D< TSpace >::getUpperBound(), and DGtal::NGon2D< TSpace >::moveTo().

◆ myK

template<typename TSpace >

unsigned int DGtal::NGon2D< TSpace >::myK

private

Number of sides of the ngon.

Definition at line 207 of file NGon2D.h.

◆ myPhi

template<typename TSpace >

double DGtal::NGon2D< TSpace >::myPhi

private

Phase of the ngon (radian).

Definition at line 212 of file NGon2D.h.

◆ myRadius

template<typename TSpace >

double DGtal::NGon2D< TSpace >::myRadius

private

Radius of the circle.

Definition at line 202 of file NGon2D.h.

Referenced by DGtal::NGon2D< TSpace >::getLowerBound(), and DGtal::NGon2D< TSpace >::getUpperBound().

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

NGon2D.h

Public Types

Public Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ RealPoint

◆ RealVector

◆ Space

Constructor & Destructor Documentation

◆ NGon2D() [1/4]

◆ NGon2D() [2/4]

◆ NGon2D() [3/4]

◆ NGon2D() [4/4]

◆ ~NGon2D()

Member Function Documentation

◆ center()

◆ getLowerBound()

◆ getUpperBound()

◆ isValid()

◆ moveTo()

◆ operator=()

◆ parameter()

◆ selfDisplay()

◆ x()

◆ xp()

◆ xpp()

Field Documentation

◆ myCenter

◆ myK

◆ myPhi

◆ myRadius