Aim: This class represents a 2D contour convolved by some binomial. It computes first and second order derivatives so as to be able to estimate tangent and curvature. In particular, it smoothes digital contours but could be used for other kind of contours. More...

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

Public Types
typedef TValue	Value

typedef TConstIteratorOnPoints	ConstIteratorOnPoints

typedef ConstIteratorOnPoints::value_type	Point

Public Member Functions
	BinomialConvolver (unsigned int n=1)

	~BinomialConvolver ()

void	setSize (unsigned int n)

unsigned int	size () const

void	init (const double h, const ConstIteratorOnPoints &itb, const ConstIteratorOnPoints &ite, const bool isClosed)

int	index (const ConstIteratorOnPoints &it) const

std::pair< Value, Value >	x (int i) const

std::pair< Value, Value >	dx (int i) const

std::pair< Value, Value >	d2x (int i) const

std::pair< Value, Value >	tangent (int i) const

Value	curvature (int i) const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Static Public Member Functions
static unsigned int	suggestedSize (const double h, const ConstIteratorOnPoints &itb, const ConstIteratorOnPoints &ite)

Protected Attributes
unsigned int	myN

double	myH

Signal< Value >	myX

Signal< Value >	myY

Signal< Value >	myDX

Signal< Value >	myDY

Signal< Value >	myDDX

Signal< Value >	myDDY

ConstIteratorOnPoints	myBegin
	Copy of the begin iterator.

ConstIteratorOnPoints	myEnd
	Copy of the end iterator.

std::map< ConstIteratorOnPoints, int >	myMapIt2Idx

Private Member Functions
	BinomialConvolver (const BinomialConvolver &other)

BinomialConvolver &	operator= (const BinomialConvolver &other)

Detailed Description

template<typename TConstIteratorOnPoints, typename TValue = double>
class DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >

Aim: This class represents a 2D contour convolved by some binomial. It computes first and second order derivatives so as to be able to estimate tangent and curvature. In particular, it smoothes digital contours but could be used for other kind of contours.

Description of template class 'BinomialConvolver'.

Template Parameters

TConstIteratorOnPoints	the type that represents an iterator in a sequence of points. Each component of Point must be convertible into a double.
TValue	the type for storing the convolved versions of the contour (double as default).

See also: testBinomialConvolver.cpp

Definition at line 73 of file BinomialConvolver.h.

Member Typedef Documentation

◆ ConstIteratorOnPoints

template<typename TConstIteratorOnPoints , typename TValue = double>

typedef TConstIteratorOnPoints DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::ConstIteratorOnPoints

Definition at line 78 of file BinomialConvolver.h.

◆ Point

template<typename TConstIteratorOnPoints , typename TValue = double>

typedef ConstIteratorOnPoints::value_type DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::Point

Definition at line 79 of file BinomialConvolver.h.

◆ Value

template<typename TConstIteratorOnPoints , typename TValue = double>

typedef TValue DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::Value

Definition at line 77 of file BinomialConvolver.h.

Constructor & Destructor Documentation

◆ BinomialConvolver() [1/2]

template<typename TConstIteratorOnPoints , typename TValue = double>

DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::BinomialConvolver ( unsigned int n = 1 )

Constructor. The object is not valid.

Parameters

n	the parameter for the size of the binomial kernel (which is then 2^n).

See also: init

◆ ~BinomialConvolver()

template<typename TConstIteratorOnPoints , typename TValue = double>

DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::~BinomialConvolver ( )

Destructor.

◆ BinomialConvolver() [2/2]

template<typename TConstIteratorOnPoints , typename TValue = double>

DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::BinomialConvolver ( const BinomialConvolver< TConstIteratorOnPoints, TValue > & other )

private

Copy constructor.

Parameters

other the object to clone. Forbidden by default.

Member Function Documentation

◆ curvature()

template<typename TConstIteratorOnPoints , typename TValue = double>

Value DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::curvature ( int i ) const

Parameters

i	any index.

Returns: the curvature of the signal (0 is the first point).

NB: depends on the gridstep.

◆ d2x()

template<typename TConstIteratorOnPoints , typename TValue = double>

std::pair< Value, Value > DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::d2x ( int i ) const

Parameters

i	any index.

Returns: the second derivative of the position (x''[ i ],y''[ i ]) (0 is the first point).

◆ dx()

template<typename TConstIteratorOnPoints , typename TValue = double>

std::pair< Value, Value > DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::dx ( int i ) const

Parameters

i	any index.

Returns: the derivative of the position (x'[ i ],y'[ i ]) (0 is the first point).

◆ index()

template<typename TConstIteratorOnPoints , typename TValue = double>

int DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::index ( const ConstIteratorOnPoints & it ) const

Given a valid iterator [it], return the corresponding index position in the binomial convolver in logarithmic time. The method init should have been called before.

See also: init

Parameters

it	any valid iterator

Returns: its index for accessing geometric data.

◆ init()

template<typename TConstIteratorOnPoints , typename TValue = double>

void DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::init	(	const double	h,
		const ConstIteratorOnPoints &	itb,
		const ConstIteratorOnPoints &	ite,
		const bool	isClosed )

Initializes the convolver with some sequence of points.

Parameters

h	grid size (must be >0).
itb	begin iterator
ite	end iterator
isClosed	true if the input range is viewed as closed.

The object is then valid.

◆ isValid()

template<typename TConstIteratorOnPoints , typename TValue = double>

bool DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::isValid ( ) const

Checks the validity/consistency of the object.

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

◆ operator=()

template<typename TConstIteratorOnPoints , typename TValue = double>

BinomialConvolver & DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::operator= ( const BinomialConvolver< TConstIteratorOnPoints, TValue > & other )

private

Assignment.

Parameters

other the object to copy.

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

◆ selfDisplay()

template<typename TConstIteratorOnPoints , typename TValue = double>

void DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

◆ setSize()

template<typename TConstIteratorOnPoints , typename TValue = double>

void DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::setSize ( unsigned int n )

Parameters

n	the parameter for the size of the binomial kernel (which is then 2^n).

◆ size()

template<typename TConstIteratorOnPoints , typename TValue = double>

unsigned int DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::size ( ) const

Returns: the parameter for the size of the binomial kernel (which is then 2^n).

◆ suggestedSize()

template<typename TConstIteratorOnPoints , typename TValue = double>

static unsigned int DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::suggestedSize	(	const double	h,
		const ConstIteratorOnPoints &	itb,
		const ConstIteratorOnPoints &	ite )

static

Returns: the suggested size for the binomial convolver as ceil( d / pow( h, 1.0/3.0 ) ), with d the diameter of the contour.

◆ tangent()

template<typename TConstIteratorOnPoints , typename TValue = double>

std::pair< Value, Value > DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::tangent ( int i ) const

Parameters

i	any index.

Returns: the normalized tangent vector (x'[ i ],y'[ i ]) (0 is the first point).

◆ x()

template<typename TConstIteratorOnPoints , typename TValue = double>

std::pair< Value, Value > DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::x ( int i ) const

Parameters

i	any index.

Returns: the position vector (x[ i ],y[ i ]) (0 is the first point).

Field Documentation

◆ myBegin

template<typename TConstIteratorOnPoints , typename TValue = double>

ConstIteratorOnPoints DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myBegin

protected

Copy of the begin iterator.

Definition at line 213 of file BinomialConvolver.h.

◆ myDDX

template<typename TConstIteratorOnPoints , typename TValue = double>

Signal<Value> DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myDDX

protected

Definition at line 209 of file BinomialConvolver.h.

◆ myDDY

template<typename TConstIteratorOnPoints , typename TValue = double>

Signal<Value> DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myDDY

protected

Definition at line 210 of file BinomialConvolver.h.

◆ myDX

template<typename TConstIteratorOnPoints , typename TValue = double>

Signal<Value> DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myDX

protected

Definition at line 207 of file BinomialConvolver.h.

◆ myDY

template<typename TConstIteratorOnPoints , typename TValue = double>

Signal<Value> DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myDY

protected

Definition at line 208 of file BinomialConvolver.h.

◆ myEnd

template<typename TConstIteratorOnPoints , typename TValue = double>

ConstIteratorOnPoints DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myEnd

protected

Copy of the end iterator.

Definition at line 216 of file BinomialConvolver.h.

◆ myH

template<typename TConstIteratorOnPoints , typename TValue = double>

double DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myH

protected

Definition at line 204 of file BinomialConvolver.h.

◆ myMapIt2Idx

template<typename TConstIteratorOnPoints , typename TValue = double>

std::map<ConstIteratorOnPoints,int> DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myMapIt2Idx

protected

Definition at line 219 of file BinomialConvolver.h.

◆ myN

template<typename TConstIteratorOnPoints , typename TValue = double>

unsigned int DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myN

protected

Definition at line 203 of file BinomialConvolver.h.

◆ myX

template<typename TConstIteratorOnPoints , typename TValue = double>

Signal<Value> DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myX

protected

Definition at line 205 of file BinomialConvolver.h.

◆ myY

template<typename TConstIteratorOnPoints , typename TValue = double>

Signal<Value> DGtal::BinomialConvolver< TConstIteratorOnPoints, TValue >::myY

protected

Definition at line 206 of file BinomialConvolver.h.

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

BinomialConvolver.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Member Typedef Documentation

◆ ConstIteratorOnPoints

◆ Point

◆ Value

Constructor & Destructor Documentation

◆ BinomialConvolver() [1/2]

◆ ~BinomialConvolver()

◆ BinomialConvolver() [2/2]

Member Function Documentation

◆ curvature()

◆ d2x()

◆ dx()

◆ index()

◆ init()

◆ isValid()

◆ operator=()

◆ selfDisplay()

◆ setSize()

◆ size()

◆ suggestedSize()

◆ tangent()

◆ x()

Field Documentation

◆ myBegin

◆ myDDX

◆ myDDY

◆ myDX

◆ myDY

◆ myEnd

◆ myH

◆ myMapIt2Idx

◆ myN

◆ myX

◆ myY