Aim: Model of the concept StarShaped represents any accelerated flower in the plane. More...

#include <DGtal/shapes/parametric/AccFlower2D.h>

Inheritance diagram for DGtal::AccFlower2D< 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
	AccFlower2D ()=delete
	AccFlower2D (const double x0, const double y0, const double r, const double smallr, const unsigned int k, const double phi)
	AccFlower2D (const RealPoint &aPoint, const double r, const double smallr, const unsigned int k, const double phi)
	AccFlower2D (const AccFlower2D &other)
AccFlower2D &	operator= (const AccFlower2D &other)=delete
	~AccFlower2D ()=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
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
double	myVarRadius
unsigned int	myK
double	myKp
double	myPhi

Detailed Description

template<typename TSpace>
class DGtal::AccFlower2D< TSpace >

Aim: Model of the concept StarShaped represents any accelerated flower in the plane.

Description of template class 'AccFlower2D'

NB: A backport from ImaGene.

Definition at line 64 of file AccFlower2D.h.

Member Typedef Documentation

◆ RealPoint

template<typename TSpace>

typedef Space::RealPoint DGtal::AccFlower2D< TSpace >::RealPoint

Definition at line 70 of file AccFlower2D.h.

◆ RealVector

template<typename TSpace>

typedef Space::RealVector DGtal::AccFlower2D< TSpace >::RealVector

Definition at line 71 of file AccFlower2D.h.

◆ Space

template<typename TSpace>

typedef TSpace DGtal::AccFlower2D< TSpace >::Space

Definition at line 69 of file AccFlower2D.h.

Constructor & Destructor Documentation

◆ AccFlower2D() [1/4]

template<typename TSpace>

DGtal::AccFlower2D< TSpace >::AccFlower2D ( )

delete

Constructor. Forbidden by default.

Referenced by AccFlower2D(), and operator=().

◆ AccFlower2D() [2/4]

template<typename TSpace>

DGtal::AccFlower2D< TSpace >::AccFlower2D	(	const double	x0,
		const double	y0,
		const double	r,
		const double	smallr,
		const unsigned int	k,
		const double	phi )

Constructor.

Parameters

x0	the x-coordinate of the flower center.
y0	the y-coordinate of the flower center.
r	the radius of the flower.
smallr	the variable small radius of the flower.
k	the number of flower extremeties.
phi	the phase of the flower (in radian).

References phi().

◆ AccFlower2D() [3/4]

template<typename TSpace>

DGtal::AccFlower2D< TSpace >::AccFlower2D	(	const RealPoint &	aPoint,
		const double	r,
		const double	smallr,
		const unsigned int	k,
		const double	phi )

Constructor.

Parameters

aPoint	the flower center.
r	the radius of the flower.
smallr	the variable small radius of the flower.
k	the number of flower extremeties.
phi	the phase of the flower (in radian).

References aPoint, and phi().

◆ AccFlower2D() [4/4]

template<typename TSpace>

DGtal::AccFlower2D< TSpace >::AccFlower2D ( const AccFlower2D< TSpace > & other )

Copy constructor.

Parameters

other the object to clone.

References AccFlower2D().

◆ ~AccFlower2D()

template<typename TSpace>

DGtal::AccFlower2D< TSpace >::~AccFlower2D ( )

default

Destructor.

Member Function Documentation

◆ center()

template<typename TSpace>

RealPoint DGtal::AccFlower2D< TSpace >::center ( ) const

inlinevirtual

Returns: the center of the star-shaped object.

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 151 of file AccFlower2D.h.

    {
      return myCenter;
    }

References myCenter.

◆ getLowerBound()

template<typename TSpace>

RealPoint DGtal::AccFlower2D< TSpace >::getLowerBound ( ) const

inlinevirtual

Returns: the lower bound of the shape bounding box.

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 134 of file AccFlower2D.h.

    {
      return myCenter - (myRadius + myVarRadius);
    }

References myCenter, myRadius, and myVarRadius.

Referenced by testDTFromSet().

◆ getUpperBound()

template<typename TSpace>

RealPoint DGtal::AccFlower2D< TSpace >::getUpperBound ( ) const

inlinevirtual

Returns: the upper bound of the shape bounding box.

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 143 of file AccFlower2D.h.

    {
      return myCenter + (myRadius + myVarRadius);
    }

References myCenter, myRadius, and myVarRadius.

Referenced by testDTFromSet().

◆ isValid()

template<typename TSpace>

bool DGtal::AccFlower2D< 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::AccFlower2D< TSpace >::moveTo ( const RealPoint & newCenter )

inlinevirtual

Modify the shape center

Parameters

newCenter the new center position

Implements DGtal::StarShaped2D< TSpace >.

Definition at line 161 of file AccFlower2D.h.

    {
      myCenter = newCenter;
    }

References myCenter.

◆ operator=()

template<typename TSpace>

AccFlower2D & DGtal::AccFlower2D< TSpace >::operator= ( const AccFlower2D< TSpace > & other )

delete

Assignment.

Parameters

other the object to copy.

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

References AccFlower2D().

◆ parameter()

template<typename TSpace>

double DGtal::AccFlower2D< 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::AccFlower2D< 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::AccFlower2D< 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::AccFlower2D< 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::AccFlower2D< 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::AccFlower2D< TSpace >::myCenter

private

Center of the flower.

Definition at line 205 of file AccFlower2D.h.

Referenced by center(), getLowerBound(), getUpperBound(), and moveTo().

◆ myK

template<typename TSpace>

unsigned int DGtal::AccFlower2D< TSpace >::myK

private

the number of flower extremeties.

Definition at line 220 of file AccFlower2D.h.

◆ myKp

template<typename TSpace>

double DGtal::AccFlower2D< TSpace >::myKp

private

The value 2*myK*Pi/(Pi^3)

Definition at line 225 of file AccFlower2D.h.

◆ myPhi

template<typename TSpace>

double DGtal::AccFlower2D< TSpace >::myPhi

private

the phase of the flower (in radian).

Definition at line 230 of file AccFlower2D.h.

◆ myRadius

template<typename TSpace>

double DGtal::AccFlower2D< TSpace >::myRadius

private

Radius of the flower.

Definition at line 210 of file AccFlower2D.h.

Referenced by getLowerBound(), and getUpperBound().

◆ myVarRadius

template<typename TSpace>

double DGtal::AccFlower2D< TSpace >::myVarRadius

private

the variable small radius of the flower.

Definition at line 215 of file AccFlower2D.h.

Referenced by getLowerBound(), and getUpperBound().

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

AccFlower2D.h

Public Types

Public Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ RealPoint

◆ RealVector

◆ Space

Constructor & Destructor Documentation

◆ AccFlower2D() [1/4]

◆ AccFlower2D() [2/4]

◆ AccFlower2D() [3/4]

◆ AccFlower2D() [4/4]

◆ ~AccFlower2D()

Member Function Documentation

◆ center()

◆ getLowerBound()

◆ getUpperBound()

◆ isValid()

◆ moveTo()

◆ operator=()

◆ parameter()

◆ selfDisplay()

◆ x()

◆ xp()

◆ xpp()

Field Documentation

◆ myCenter

◆ myK

◆ myKp

◆ myPhi

◆ myRadius

◆ myVarRadius