Aim: model of CEuclideanOrientedShape and CEuclideanBoundedShape concepts to create a rounded hypercube in nD.. More...

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

Public Types
typedef ImplicitRoundedHyperCube< TSpace >	Self

typedef TSpace	Space

typedef Space::RealPoint	RealPoint

typedef double	Value

Public Member Functions
	ImplicitRoundedHyperCube (const RealPoint &aCenter, const double &aHalfWidth, const double aPower)

	~ImplicitRoundedHyperCube ()

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
	ImplicitRoundedHyperCube ()

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

Private Attributes
RealPoint	myCenter
	Cube center.

double	myHalfWidth
	Cube HalfWidth.

double	myPower
	Cube Power.

Detailed Description

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

Aim: model of CEuclideanOrientedShape and CEuclideanBoundedShape concepts to create a rounded hypercube in nD..

Description of template class 'ImplicitRoundedHyperCube'

Rounded hypercubes corresponds to balls for the \(l_p\) norm.

Template Parameters

TSpace the Digital space definition.

Definition at line 62 of file ImplicitRoundedHyperCube.h.

Member Typedef Documentation

◆ RealPoint

template<typename TSpace >

Space::RealPoint DGtal::ImplicitRoundedHyperCube< TSpace >::RealPoint

Definition at line 68 of file ImplicitRoundedHyperCube.h.

◆ Self

template<typename TSpace >

ImplicitRoundedHyperCube<TSpace> DGtal::ImplicitRoundedHyperCube< TSpace >::Self

Definition at line 66 of file ImplicitRoundedHyperCube.h.

◆ Space

template<typename TSpace >

TSpace DGtal::ImplicitRoundedHyperCube< TSpace >::Space

Definition at line 67 of file ImplicitRoundedHyperCube.h.

◆ Value

template<typename TSpace >

double DGtal::ImplicitRoundedHyperCube< TSpace >::Value

Definition at line 69 of file ImplicitRoundedHyperCube.h.

Constructor & Destructor Documentation

◆ ImplicitRoundedHyperCube() [1/2]

template<typename TSpace >

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

inline

Constructor. Contructs a rounded hypercube with center aCenter and width aWidth.

Parameters

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

Definition at line 79 of file ImplicitRoundedHyperCube.h.

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

◆ ~ImplicitRoundedHyperCube()

template<typename TSpace >

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

Destructor.

◆ ImplicitRoundedHyperCube() [2/2]

template<typename TSpace >

DGtal::ImplicitRoundedHyperCube< TSpace >::ImplicitRoundedHyperCube ( )

protected

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

Member Function Documentation

◆ center()

template<typename TSpace >

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

inline

Returns: the center of the star-shaped object.

Definition at line 175 of file ImplicitRoundedHyperCube.h.

    {
      return myCenter;
    }

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

◆ getLowerBound()

template<typename TSpace >

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

inline

Returns the lower bound of the Shape bounding box.

Returns: the lower bound point.

Definition at line 155 of file ImplicitRoundedHyperCube.h.

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

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

◆ getUpperBound()

template<typename TSpace >

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

inline

Returns the upper bound of the Shape bounding box.

Returns: the upper bound point.

Definition at line 167 of file ImplicitRoundedHyperCube.h.

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

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

◆ isInside()

template<typename TSpace >

bool DGtal::ImplicitRoundedHyperCube< 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 123 of file ImplicitRoundedHyperCube.h.

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

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

◆ isValid()

template<typename TSpace >

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

inline

Modify the shape center

Parameters

newCenter the new center position

Definition at line 185 of file ImplicitRoundedHyperCube.h.

    {
      myCenter = newCenter;
    }

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

◆ operator()()

template<typename TSpace >

double DGtal::ImplicitRoundedHyperCube< 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 106 of file ImplicitRoundedHyperCube.h.

    {
      RealPoint dec = (aPoint - myCenter);
      double partialpower=0;
      for(Dimension i = 0; i < RealPoint::dimension; ++i)
        partialpower +=  std::pow(std::abs((double)dec[i]),  myPower);
 
    return std::pow(myHalfWidth, myPower) - partialpower;
    }

References aPoint(), DGtal::PointVector< dim, TEuclideanRing, TContainer >::dimension, DGtal::ImplicitRoundedHyperCube< TSpace >::myCenter, DGtal::ImplicitRoundedHyperCube< TSpace >::myHalfWidth, and DGtal::ImplicitRoundedHyperCube< TSpace >::myPower.

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

◆ operator=()

template<typename TSpace >

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

private

Assignment.

Parameters

other the object to copy.

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

◆ orientation()

template<typename TSpace >

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

inline

orientation predicate (see CEuclideanOrientedShape).

Parameters

aPoint an input point.

Returns: the orientation of the point.

Definition at line 136 of file ImplicitRoundedHyperCube.h.

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