DGtal::Ball3D< TSpace > Class Template Reference

#include <DGtal/shapes/parametric/Ball3D.h>

Inheritance diagram for DGtal::Ball3D< TSpace >:

Collaboration diagram for DGtal::Ball3D< TSpace >:

Public Types
typedef TSpace	Space
typedef Space::RealPoint	RealPoint
typedef std::pair< double, double >	AngularCoordinates
Public Types inherited from DGtal::StarShaped3D< TSpace >
typedef TSpace	Space
typedef Space::RealPoint	RealPoint
typedef std::pair< double, double >	AngularCoordinates

Public Member Functions
	~Ball3D ()
	Ball3D (const double x0, const double y0, const double z0, const double r)
	Ball3D (const RealPoint &aPoint, const double r)
RealPoint	getLowerBound () const
RealPoint	getUpperBound () const
RealPoint	center () const
AngularCoordinates	parameter (const RealPoint &p) const
RealPoint	x (const AngularCoordinates t) const
virtual RealPoint	gradient (const AngularCoordinates t) const
virtual RealPoint	rt (const AngularCoordinates t) const
virtual RealPoint	rp (const AngularCoordinates t) const
virtual RealPoint	rtt (const AngularCoordinates t) const
virtual RealPoint	rpp (const AngularCoordinates t) const
virtual RealPoint	rtp (const AngularCoordinates t) const
void	selfDisplay (std::ostream &out) const
bool	isValid () const
Public Member Functions inherited from DGtal::StarShaped3D< TSpace >
	StarShaped3D ()
	~StarShaped3D ()
virtual RealPoint	interiorPoint () const
virtual Orientation	orientation (const RealPoint &p) const
virtual RealPoint	normal (AngularCoordinates t) const
virtual double	gaussianCurvature (AngularCoordinates t) const
virtual double	meanCurvature (AngularCoordinates t) const
virtual double	arclength (AngularCoordinates t1, AngularCoordinates t2, unsigned int nb) const
virtual double	surfacelength (AngularCoordinates t1, AngularCoordinates t2, unsigned int nb) const
void	selfDisplay (std::ostream &out) const
bool	isValid () const

Protected Member Functions
	Ball3D ()

Private Member Functions
Ball3D &	operator= (const Ball3D &other)

Private Attributes
double	myRadius
RealPoint	myCenter

Detailed Description

template<typename TSpace>
class DGtal::Ball3D< TSpace >

Aim: Model of the concept StarShaped3D represents any Sphere in the space.

Description of template class 'Ball3D'

Examples:

dec/exampleHeatLaplace.cpp, and tutorial-examples/AreaSurfaceEstimation-final.cpp.

Definition at line 60 of file Ball3D.h.

Member Typedef Documentation

template<typename TSpace >

typedef std::pair<double,double> DGtal::Ball3D< TSpace >::AngularCoordinates

Definition at line 67 of file Ball3D.h.

template<typename TSpace >

typedef Space::RealPoint DGtal::Ball3D< TSpace >::RealPoint

Definition at line 66 of file Ball3D.h.

template<typename TSpace >

typedef TSpace DGtal::Ball3D< TSpace >::Space

Definition at line 65 of file Ball3D.h.

Constructor & Destructor Documentation

template<typename TSpace >

DGtal::Ball3D< TSpace >::~Ball3D

(

)

Destructor.

template<typename TSpace >

DGtal::Ball3D< TSpace >::Ball3D	(	const double	x0,
		const double	y0,
		const double	z0,
		const double	r
	)

Constructor.

Parameters

x0	the x-coordinate of the sphere center.
y0	the y-coordinate of the sphere center.
z0	the z-coordinate of the sphere center.
r	the radius of the sphere.

template<typename TSpace >

DGtal::Ball3D< TSpace >::Ball3D	(	const RealPoint &	aPoint,
		const double	r
	)

Constructor.

Parameters

aPoint	the sphere center.
r	the radius of the sphere.

template<typename TSpace >

DGtal::Ball3D< TSpace >::Ball3D ( )

protected

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

Member Function Documentation

template<typename TSpace >

RealPoint DGtal::Ball3D< TSpace >::center ( ) const

inlinevirtual

Returns

the center of the sphere.

Implements DGtal::StarShaped3D< TSpace >.

Definition at line 129 of file Ball3D.h.

References DGtal::Ball3D< TSpace >::myCenter.

    {
      return myCenter;
    }

template<typename TSpace >

RealPoint DGtal::Ball3D< TSpace >::getLowerBound ( ) const

inlinevirtual

Returns

the lower bound of the sphere.

Implements DGtal::StarShaped3D< TSpace >.

Definition at line 107 of file Ball3D.h.

References DGtal::Ball3D< TSpace >::myCenter, and DGtal::Ball3D< TSpace >::myRadius.

    {

      return RealPoint(myCenter[0] - myRadius,
                       myCenter[1] - myRadius ,
                       myCenter[2] - myRadius );
    }

template<typename TSpace >

RealPoint DGtal::Ball3D< TSpace >::getUpperBound ( ) const

inlinevirtual

Returns

the upper bound of the sphere.

Implements DGtal::StarShaped3D< TSpace >.

Definition at line 119 of file Ball3D.h.

References DGtal::Ball3D< TSpace >::myCenter, and DGtal::Ball3D< TSpace >::myRadius.

    {
      return RealPoint(myCenter[0] + myRadius ,
                       myCenter[1] + myRadius,
                       myCenter[2] + myRadius);
    }

template<typename TSpace >

virtual RealPoint DGtal::Ball3D< TSpace >::gradient ( const AngularCoordinates  t ) const

virtual

Parameters

t	is a couple of Teta && Phi wich are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi].

Returns

the vector (gradf(M)).

Implements DGtal::StarShaped3D< TSpace >.

template<typename TSpace >

bool DGtal::Ball3D< TSpace >::isValid

(

)

const

Checks the validity/consistency of the object.

Returns

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

template<typename TSpace >

Ball3D& DGtal::Ball3D< TSpace >::operator= ( const Ball3D< TSpace > &  other )

private

Copy constructor.

Parameters

other	the object to clone. Forbidden by default. Assignment.
other	the object to copy.

Returns

a reference on 'this'. Forbidden by default.

template<typename TSpace >

AngularCoordinates DGtal::Ball3D< TSpace >::parameter ( const RealPoint &  p ) const

virtual

Parameters

p	any point in the space.

Returns

the couple of angles parameters Teta && Phi which are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi] corresponding to this point for the shape.

Implements DGtal::StarShaped3D< TSpace >.

template<typename TSpace >

virtual RealPoint DGtal::Ball3D< TSpace >::rp ( const AngularCoordinates  t ) const

virtual

Parameters

t	is a couple of Teta && Phi wich are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi].

Returns

the vector (rp(M)) wich is the partial derivative with respect to Phi.

Implements DGtal::StarShaped3D< TSpace >.

template<typename TSpace >

virtual RealPoint DGtal::Ball3D< TSpace >::rpp ( const AngularCoordinates  t ) const

virtual

Parameters

t	is a couple of Teta && Phi wich are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi].

Returns

the vector (rpp(M)) wich is second the partial derivatif with respect to Phi (twice).

Implements DGtal::StarShaped3D< TSpace >.

template<typename TSpace >

virtual RealPoint DGtal::Ball3D< TSpace >::rt ( const AngularCoordinates  t ) const

virtual

Parameters

t	is a couple of Teta && Phi wich are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi].

Returns

the vector (rt(M)) wich is the partial derivative with respect to Teta.

Implements DGtal::StarShaped3D< TSpace >.

template<typename TSpace >

virtual RealPoint DGtal::Ball3D< TSpace >::rtp ( const AngularCoordinates  t ) const

virtual

Parameters

t	is a couple of Teta && Phi wich are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi].

Returns

the vector (rpp(M)) wich is second the partial derivative with respect to Teta then Phi.

Implements DGtal::StarShaped3D< TSpace >.

template<typename TSpace >

virtual RealPoint DGtal::Ball3D< TSpace >::rtt ( const AngularCoordinates  t ) const

virtual

Parameters

t	is a couple of Teta && Phi wich are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi].

Returns

the vector (rtt(M)) wich is second the partial derivative with respect to Teta (twice).

Implements DGtal::StarShaped3D< TSpace >.

template<typename TSpace >

void DGtal::Ball3D< TSpace >::selfDisplay

(

std::ostream &

out

)

const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

template<typename TSpace >

RealPoint DGtal::Ball3D< TSpace >::x ( const AngularCoordinates  t ) const

virtual

Parameters

t	is a couple of Teta && Phi wich are respectivly between [-Pi/2,Pi/2) and [-Pi,Pi].

Returns

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

Implements DGtal::StarShaped3D< TSpace >.

Field Documentation

template<typename TSpace >

RealPoint DGtal::Ball3D< TSpace >::myCenter

private

Center of the sphere.

Definition at line 220 of file Ball3D.h.

Referenced by DGtal::Ball3D< TSpace >::center(), DGtal::Ball3D< TSpace >::getLowerBound(), and DGtal::Ball3D< TSpace >::getUpperBound().

template<typename TSpace >

double DGtal::Ball3D< TSpace >::myRadius

private

Radius of the sphere.

Definition at line 215 of file Ball3D.h.

Referenced by DGtal::Ball3D< TSpace >::getLowerBound(), and DGtal::Ball3D< TSpace >::getUpperBound().

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

• Ball3D.h