DGtal::PConvexity< TSpace > Class Template Reference

Aim: A class to check if digital sets are P-convex. The P-convexity is defined as follows: A digital set X subset of \( \mathbb{Z}^d \) is P-convex iff. More...

#include <DGtal/geometry/volumes/PConvexity.h>

Public Types
typedef PConvexity< TSpace >	Self
typedef TSpace	Space
typedef Space::Integer	Integer
typedef Space::Point	Point
using	RPConvexity = DGtal::detail::RecursivePConvexity< dimension, Integer >

Public Member Functions
Standard services (construction, initialization, assignment)
	~PConvexity ()=default
	Destructor. More...
	PConvexity (bool safe=false)
Convexity services
bool	is0Convex (const std::vector< Point > &X) const
bool	isPConvex (const std::vector< Point > &X) const
Measure services
double	convexityMeasure (const std::vector< Point > &X) const
double	fullConvexityMeasure (const std::vector< Point > &X) const
Interface services
void	selfDisplay (std::ostream &out) const
bool	isValid () const

Static Public Attributes
static const Dimension	dimension = Space::dimension

Protected Attributes
RPConvexity	myRPC
	The recursive PConvexity object used to determine P-convexity. More...
bool	mySafe

Private Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))

Detailed Description

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

Aim: A class to check if digital sets are P-convex. The P-convexity is defined as follows: A digital set X subset of \( \mathbb{Z}^d \) is P-convex iff.

Description of template class 'PConvexity'

- if d=1, then X must be an interval of integers, possibly empty

• otherwise X must be 0-convex (digitally convex) and the projection of X along any dimension must be P-convex too.

It is a model of boost::CopyConstructible, boost::DefaultConstructible, boost::Assignable.

Template Parameters

TSpace

an arbitrary model of digital space, i.e. see CSpace.

Definition at line 354 of file PConvexity.h.

Member Typedef Documentation

Integer

template<typename TSpace >

typedef Space::Integer DGtal::PConvexity< TSpace >::Integer

Definition at line 361 of file PConvexity.h.

Point

template<typename TSpace >

typedef Space::Point DGtal::PConvexity< TSpace >::Point

Definition at line 362 of file PConvexity.h.

RPConvexity

template<typename TSpace >

using DGtal::PConvexity< TSpace >::RPConvexity = DGtal::detail::RecursivePConvexity< dimension, Integer >

Definition at line 365 of file PConvexity.h.

Self

template<typename TSpace >

typedef PConvexity<TSpace> DGtal::PConvexity< TSpace >::Self

Definition at line 359 of file PConvexity.h.

Space

template<typename TSpace >

typedef TSpace DGtal::PConvexity< TSpace >::Space

Definition at line 360 of file PConvexity.h.

Constructor & Destructor Documentation

~PConvexity()

template<typename TSpace >

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

default

Destructor.

PConvexity()

template<typename TSpace >

DGtal::PConvexity< TSpace >::PConvexity ( bool  safe = false )

inline

Main constructor.

Parameters

safe	when 'true' performs convex hull computations with arbitrary precision integer (if available), otherwise chooses a compromise between speed and precision (int64_t).

Definition at line 380 of file PConvexity.h.

      : myRPC(), mySafe( safe )
    {}

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename TSpace >

DGtal::PConvexity< TSpace >::BOOST_CONCEPT_ASSERT ( (concepts::CSpace< TSpace >)  )

private

convexityMeasure()

template<typename TSpace >

double DGtal::PConvexity< TSpace >::convexityMeasure ( const std::vector< Point > &  X ) const

inline

Parameters

X	any range of lattice points (without duplicates)

Precondition

X must not contain any duplicates.

Returns

a measure that has value 1.0 when X is digitally convex, and less otherwise.

Definition at line 425 of file PConvexity.h.

    {
      return myRPC.convexityMeasure( X, mySafe );
    }

References DGtal::detail::RecursivePConvexity< dim, TInteger >::convexityMeasure(), DGtal::PConvexity< TSpace >::myRPC, and DGtal::PConvexity< TSpace >::mySafe.

fullConvexityMeasure()

template<typename TSpace >

double DGtal::PConvexity< TSpace >::fullConvexityMeasure ( const std::vector< Point > &  X ) const

inline

Parameters

X	any range of lattice points (without duplicates)

Precondition

X must not contain any duplicates.

Returns

a measure that has value 1.0 when X is P-convex (or equivalently fully convex), and less otherwise.

Definition at line 436 of file PConvexity.h.

    {
      return myRPC.fullConvexityMeasure( X, mySafe );
    }

References DGtal::detail::RecursivePConvexity< dim, TInteger >::fullConvexityMeasure(), DGtal::PConvexity< TSpace >::myRPC, and DGtal::PConvexity< TSpace >::mySafe.

is0Convex()

template<typename TSpace >

bool DGtal::PConvexity< TSpace >::is0Convex ( const std::vector< Point > &  X ) const

inline

Parameters

X	any range of lattice points (without duplicates)

Returns

'true' if and only if X is a digitally convex set in the classic sense, i.e. \( Conv(X) \cap Z^d = X \).

Precondition

X must not contain any duplicates.

Definition at line 397 of file PConvexity.h.

    {
      return myRPC.is0Convex( X, mySafe );
    }

References DGtal::detail::RecursivePConvexity< dim, TInteger >::is0Convex(), DGtal::PConvexity< TSpace >::myRPC, and DGtal::PConvexity< TSpace >::mySafe.

isPConvex()

template<typename TSpace >

bool DGtal::PConvexity< TSpace >::isPConvex ( const std::vector< Point > &  X ) const

inline

Parameters

X	any range of lattice points (without duplicates)

Returns

'true' if and only if X is a P-convex digital set.

Precondition

X must not contain any duplicates.

Definition at line 407 of file PConvexity.h.

    {
      return myRPC.isPConvex( X, mySafe );
    }

References DGtal::detail::RecursivePConvexity< dim, TInteger >::isPConvex(), DGtal::PConvexity< TSpace >::myRPC, and DGtal::PConvexity< TSpace >::mySafe.

Referenced by SCENARIO(), timingsPConvexity(), and timingsPConvexityNonConvex().

isValid()

template<typename TSpace >

bool DGtal::PConvexity< TSpace >::isValid ( ) const

inline

Checks the validity/consistency of the object. Only invalid if dimension < 1.

Returns

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

Definition at line 464 of file PConvexity.h.

    {
      return dimension >= 1;
    }

References DGtal::PConvexity< TSpace >::dimension.

selfDisplay()

template<typename TSpace >

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

inline

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

Definition at line 452 of file PConvexity.h.

    {
      out << "[PConvexity dim=" << dimension
          << " safe=" << ( mySafe ? "True" : "False" )
          << " #bits<int>=" << ( sizeof( Integer ) * 8 ) << "]";
    }

References DGtal::PConvexity< TSpace >::dimension, and DGtal::PConvexity< TSpace >::mySafe.

Field Documentation

dimension

template<typename TSpace >

const Dimension DGtal::PConvexity< TSpace >::dimension = Space::dimension

static

Definition at line 364 of file PConvexity.h.

Referenced by DGtal::PConvexity< TSpace >::isValid(), and DGtal::PConvexity< TSpace >::selfDisplay().

myRPC

template<typename TSpace >

RPConvexity DGtal::PConvexity< TSpace >::myRPC

protected

The recursive PConvexity object used to determine P-convexity.

Definition at line 475 of file PConvexity.h.

Referenced by DGtal::PConvexity< TSpace >::convexityMeasure(), DGtal::PConvexity< TSpace >::fullConvexityMeasure(), DGtal::PConvexity< TSpace >::is0Convex(), and DGtal::PConvexity< TSpace >::isPConvex().

mySafe

template<typename TSpace >

bool DGtal::PConvexity< TSpace >::mySafe

protected

when 'true' performs convex hull computations with arbitrary precision integer (if available), otherwise chooses a compromise between speed and precision (int64_t).

Definition at line 480 of file PConvexity.h.

Referenced by DGtal::PConvexity< TSpace >::convexityMeasure(), DGtal::PConvexity< TSpace >::fullConvexityMeasure(), DGtal::PConvexity< TSpace >::is0Convex(), DGtal::PConvexity< TSpace >::isPConvex(), and DGtal::PConvexity< TSpace >::selfDisplay().

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

• PConvexity.h