Aim: Computes the faithful polygon (FP) of a range of 4/8-connected 2D Points. More...

#include <DGtal/geometry/curves/FP.h>

Public Types
typedef DGtal::PointVector< 2, TInteger >	Point

typedef DGtal::PointVector< 2, TInteger >	Vector

typedef DGtal::PointVector< 2, double >	RealPoint

typedef DGtal::PointVector< 2, double >	RealVector

typedef DGtal::ArithmeticalDSSComputer< TIterator, TInteger, connectivity >	DSSComputer

typedef std::list< Point >	Polygon

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CInteger< TInteger >))

	FP (const TIterator &itb, const TIterator &ite)

	~FP ()

const Polygon &	polygon () const

bool	isClosed () const

bool	isValid () const

Polygon::size_type	size () const

template<typename OutputIterator >
OutputIterator	copyFP (OutputIterator result) const

template<typename OutputIterator >
OutputIterator	copyMLP (OutputIterator result) const

void	selfDisplay (std::ostream &out) const

std::string	className () const

Private Member Functions
template<typename Adapter >
Adapter *	initConvexityConcavity (typename Adapter::DSS &aDSS)

template<typename Adapter >
bool	removingStep (Adapter *adapter)

template<typename Adapter >
bool	addingStep (Adapter *adapter, const typename Adapter::DSS::ConstIterator &itEnd)

template<typename Adapter >
void	addingStep (Adapter *adapter)

void	algorithm (const TIterator &itb, const TIterator &ite)

void	algorithm (const TIterator &itb, const TIterator &ite, IteratorType)

void	algorithm (const TIterator &itb, const TIterator &ite, CirculatorType)

bool	isValid (const Point &a, const Point &b, const Point &c) const

bool	quadrant (const Vector &v, const int &q) const

RealPoint	getRealPoint (const Point &a, const Point &b, const Point &c) const

	FP (const FP &other)

FP &	operator= (const FP &other)

Private Attributes
Polygon	myPolygon

Detailed Description

template<typename TIterator, typename TInteger, int connectivity>
class DGtal::FP< TIterator, TInteger, connectivity >

Aim: Computes the faithful polygon (FP) of a range of 4/8-connected 2D Points.

The FP has several interesting properties:

its vertices are points of the underlying digital curve, thus with integer coordinates,
it respects the convex and concave parts of the underlying digital curve,
it is reversible,
it is unique for digital curves that are not digital straight segments,
it is closed to the minimum length polygon (MLP) (and converges toward the MLP as the resolution tends to the infinity) for closed digital curves.

It is computed in the course of the maximal digital straight segments computation, because in convex parts (resp. concave parts), the first and last upper (resp. lower) leaning points of segments that are maximal at the front or at the back are also vertices of the FP.

See also: ArithmeticalDSSComputer DSSDecorator DSSDecorator4ConvexPart DSSDecorator4ConcavePart

Note: T. ROUSSILLON and I. SIVIGNON, Faithful polygonal representation of the convex and concave parts of a digital curve, Pattern Recognition, Volume 44, Issues 10-11, October-November 2011, Pages 2693-2700.

Usage:

//r is a range of 4-connected 2D points

FP<ConstIterator, Integer, 4> theFP( r .begin(), r.end() );

Once the FP is computed, copyFP() is a way of geting its vertices. In the same way, copyMLP() is a way of getting the vertices of the MLP.

Template Parameters

TIterator	type ConstIterator on 2D points,
TInteger	(satisfying CInteger)
connectivity	4 for standard (4-connected) DSS or 8 for naive (8-connected) DSS. (Any other integers act as 8).

See also: testFP.cpp

Definition at line 292 of file FP.h.

Member Typedef Documentation

◆ DSSComputer

template<typename TIterator , typename TInteger , int connectivity>

typedef DGtal::ArithmeticalDSSComputer<TIterator,TInteger,connectivity> DGtal::FP< TIterator, TInteger, connectivity >::DSSComputer

Definition at line 307 of file FP.h.

◆ Point

template<typename TIterator , typename TInteger , int connectivity>

typedef DGtal::PointVector<2,TInteger> DGtal::FP< TIterator, TInteger, connectivity >::Point

Definition at line 301 of file FP.h.

◆ Polygon

template<typename TIterator , typename TInteger , int connectivity>

typedef std::list<Point> DGtal::FP< TIterator, TInteger, connectivity >::Polygon

Definition at line 309 of file FP.h.

◆ RealPoint

template<typename TIterator , typename TInteger , int connectivity>

typedef DGtal::PointVector<2, double> DGtal::FP< TIterator, TInteger, connectivity >::RealPoint

Definition at line 304 of file FP.h.

◆ RealVector

template<typename TIterator , typename TInteger , int connectivity>

typedef DGtal::PointVector<2, double> DGtal::FP< TIterator, TInteger, connectivity >::RealVector

Definition at line 305 of file FP.h.

◆ Vector

template<typename TIterator , typename TInteger , int connectivity>

typedef DGtal::PointVector<2,TInteger> DGtal::FP< TIterator, TInteger, connectivity >::Vector

Definition at line 302 of file FP.h.

Constructor & Destructor Documentation

◆ FP() [1/2]

template<typename TIterator , typename TInteger , int connectivity>

DGtal::FP< TIterator, TInteger, connectivity >::FP	(	const TIterator &	itb,
		const TIterator &	ite
	)

Constructor.

Parameters

itb	begin iterator
ite	end iterator

◆ ~FP()

template<typename TIterator , typename TInteger , int connectivity>

DGtal::FP< TIterator, TInteger, connectivity >::~FP ( )

Destructor.

◆ FP() [2/2]

template<typename TIterator , typename TInteger , int connectivity>

DGtal::FP< TIterator, TInteger, connectivity >::FP ( const FP< TIterator, TInteger, connectivity > & other )

private

Copy constructor.

Parameters

other the object to clone. Forbidden by default.

Member Function Documentation

◆ addingStep() [1/2]

template<typename TIterator , typename TInteger , int connectivity>

template<typename Adapter >

void DGtal::FP< TIterator, TInteger, connectivity >::addingStep ( Adapter * adapter )

private

Adding step in the closed case

Parameters

adapter an Adapter to the current DSS

Template Parameters

Adapter type that adapts a DSS computer

See also: details::DSSDecorator details::DSSDecorator4ConvexParts details::DSSDecorator4ConcaveParts

◆ addingStep() [2/2]

template<typename TIterator , typename TInteger , int connectivity>

template<typename Adapter >

bool DGtal::FP< TIterator, TInteger, connectivity >::addingStep	(	Adapter *	adapter,
		const typename Adapter::DSS::ConstIterator &	itEnd
	)

private

Adding step in the open case

Parameters

adapter	an Adapter to the current DSS
itEnd	end iterator used to stop the algorithm (when currentDSS.end() == itEnd )

Returns: 'false' if the algorithm has to stop and 'true' otherwise

Template Parameters

Adapter type that adapts a DSS computer

See also: details::DSSDecorator details::DSSDecorator4ConvexParts details::DSSDecorator4ConcaveParts

◆ algorithm() [1/3]

template<typename TIterator , typename TInteger , int connectivity>

void DGtal::FP< TIterator, TInteger, connectivity >::algorithm	(	const TIterator &	itb,
		const TIterator &	ite
	)

private

Main algorithm

Parameters

itb	begin iterator
ite	end iterator

◆ algorithm() [2/3]

template<typename TIterator , typename TInteger , int connectivity>

void DGtal::FP< TIterator, TInteger, connectivity >::algorithm	(	const TIterator &	itb,
		const TIterator &	ite,
		CirculatorType
	)

private

Main algorithm overloading for circular iterator types (process as closed)

Parameters

itb	begin iterator
ite	end iterator

◆ algorithm() [3/3]

template<typename TIterator , typename TInteger , int connectivity>

void DGtal::FP< TIterator, TInteger, connectivity >::algorithm	(	const TIterator &	itb,
		const TIterator &	ite,
		IteratorType
	)

private

Main algorithm overloading for classic iterator types (process as open)

Parameters

itb	begin iterator
ite	end iterator

◆ BOOST_CONCEPT_ASSERT()

template<typename TIterator , typename TInteger , int connectivity>

DGtal::FP< TIterator, TInteger, connectivity >::BOOST_CONCEPT_ASSERT ( (concepts::CInteger< TInteger >) )

◆ className()

template<typename TIterator , typename TInteger , int connectivity>

std::string DGtal::FP< TIterator, TInteger, connectivity >::className ( ) const

Returns: the style name used for drawing this object.

◆ copyFP()

template<typename TIterator , typename TInteger , int connectivity>

template<typename OutputIterator >

OutputIterator DGtal::FP< TIterator, TInteger, connectivity >::copyFP ( OutputIterator result ) const

Returns: the vertices of the FP NB: O(n)

◆ copyMLP()

template<typename TIterator , typename TInteger , int connectivity>

template<typename OutputIterator >

OutputIterator DGtal::FP< TIterator, TInteger, connectivity >::copyMLP ( OutputIterator result ) const

Returns: the vertices of the MLP NB: O(n)

◆ getRealPoint()

template<typename TIterator , typename TInteger , int connectivity>

RealPoint DGtal::FP< TIterator, TInteger, connectivity >::getRealPoint	(	const Point &	a,
		const Point &	b,
		const Point &	c
	)		const

private

Gets a MLP vertex from three consecutive vertices of the FP.

Parameters

a	previous vertex of the FP
b	current vertex of the FP
c	next vertex of the FP

Returns: vertex of the MLP, which is the tranlated of b by (+- 0.5, +- 0.5)

◆ initConvexityConcavity()

template<typename TIterator , typename TInteger , int connectivity>

template<typename Adapter >

Adapter* DGtal::FP< TIterator, TInteger, connectivity >::initConvexityConcavity ( typename Adapter::DSS & aDSS )

private

A DSS adapter is returned according to the local convexity/concavity

Parameters

aDSS	a DSS lying on the range to process

Returns: an adapter to aDSS for convex or concave part

Template Parameters

Adapter type that adapts a DSS computer

See also: details::DSSDecorator details::DSSDecorator4ConvexParts details::DSSDecorator4ConcaveParts

◆ isClosed()

template<typename TIterator , typename TInteger , int connectivity>

bool DGtal::FP< TIterator, TInteger, connectivity >::isClosed ( ) const

Returns: true if the list has to be consider as circular.

◆ isValid() [1/2]

template<typename TIterator , typename TInteger , int connectivity>

bool DGtal::FP< TIterator, TInteger, connectivity >::isValid ( ) const

Checks the validity/consistency of the object.

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

Referenced by testFP().

◆ isValid() [2/2]

template<typename TIterator , typename TInteger , int connectivity>

bool DGtal::FP< TIterator, TInteger, connectivity >::isValid	(	const Point &	a,
		const Point &	b,
		const Point &	c
	)		const

private

Checks if a turn defined by three consecutive vertices of the FP is valid or not

Parameters

a	previous vertex of the FP
b	current vertex of the FP
c	next vertex of the FP

Returns: 'true' if valid, 'false' otherwise.

◆ operator=()

template<typename TIterator , typename TInteger , int connectivity>

FP& DGtal::FP< TIterator, TInteger, connectivity >::operator= ( const FP< TIterator, TInteger, connectivity > & other )

private

Assignment.

Parameters

other the object to copy.

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

◆ polygon()

template<typename TIterator , typename TInteger , int connectivity>

const Polygon& DGtal::FP< TIterator, TInteger, connectivity >::polygon ( ) const

Returns: the list where each vertex of the FP is stored.

◆ quadrant()

template<typename TIterator , typename TInteger , int connectivity>

bool DGtal::FP< TIterator, TInteger, connectivity >::quadrant	(	const Vector &	v,
		const int &	q
	)		const

private

Returns the quadrant number of a vector

Parameters

v	any vector
q	a quandrant number (0,1,2 or 3)

Returns: 'true' if v lies in quadrant number q, 'false' otherwise

◆ removingStep()

template<typename TIterator , typename TInteger , int connectivity>

template<typename Adapter >

bool DGtal::FP< TIterator, TInteger, connectivity >::removingStep ( Adapter * adapter )

private

Removing step

Parameters

adapter an Adapter to the current DSS

Returns: 'false' if the underlying digital curve is detected as disconnected and 'true' otherwise

Template Parameters

Adapter type that adapts a DSS computer

See also: details::DSSDecorator details::DSSDecorator4ConvexParts details::DSSDecorator4ConcaveParts

◆ selfDisplay()

template<typename TIterator , typename TInteger , int connectivity>

void DGtal::FP< TIterator, TInteger, connectivity >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

◆ size()

template<typename TIterator , typename TInteger , int connectivity>

Polygon::size_type DGtal::FP< TIterator, TInteger, connectivity >::size ( ) const

Returns: number of FP vertices

Field Documentation

◆ myPolygon

template<typename TIterator , typename TInteger , int connectivity>

Polygon DGtal::FP< TIterator, TInteger, connectivity >::myPolygon

private

List where each vertex of the FP is stored

Definition at line 379 of file FP.h.

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

FP.h

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

template<typename TIterator, typename TInteger, int connectivity> class DGtal::FP< TIterator, TInteger, connectivity >

Member Typedef Documentation

◆ DSSComputer

◆ Point

◆ Polygon

◆ RealPoint

◆ RealVector

◆ Vector

Constructor & Destructor Documentation

◆ FP() [1/2]

◆ ~FP()

◆ FP() [2/2]

Member Function Documentation

◆ addingStep() [1/2]

◆ addingStep() [2/2]

◆ algorithm() [1/3]

◆ algorithm() [2/3]

◆ algorithm() [3/3]

◆ BOOST_CONCEPT_ASSERT()

◆ className()

◆ copyFP()

◆ copyMLP()

◆ getRealPoint()

◆ initConvexityConcavity()

◆ isClosed()

◆ isValid() [1/2]

◆ isValid() [2/2]

◆ operator=()

◆ polygon()

◆ quadrant()

◆ removingStep()

◆ selfDisplay()

◆ size()

Field Documentation

◆ myPolygon

template<typename TIterator, typename TInteger, int connectivity>
class DGtal::FP< TIterator, TInteger, connectivity >