Aim: A class for computing the Gauss digitization of some Euclidean shape, i.e. its intersection with some \( h_1 Z \times h_2 Z \times \cdots \times h_n Z \). Note that the real point (0,...,0) is mapped onto the digital point (0,...,0). More...

#include <DGtal/shapes/GaussDigitizer.h>

Public Types
typedef TSpace	Space

typedef Space::Integer	Integer

typedef Space::Point	Point

typedef Space::Vector	Vector

typedef Space::RealPoint	RealPoint

typedef Space::RealPoint	RealVector

typedef TEuclideanShape	EuclideanShape

typedef HyperRectDomain< Space >	Domain

typedef RegularPointEmbedder< Space >	PointEmbedder

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CEuclideanOrientedShape< TEuclideanShape >))

	~GaussDigitizer ()

	GaussDigitizer ()

GaussDigitizer &	operator= (const GaussDigitizer &other)

void	attach (ConstAlias< EuclideanShape > shape)

void	init (const RealPoint &xLow, const RealPoint &xUp, typename RealVector::Component gridStep)

void	init (const RealPoint &xLow, const RealPoint &xUp, const RealVector &gridSteps)

const PointEmbedder &	pointEmbedder () const

Domain	getDomain () const

Point	floor (const RealPoint &p) const

Point	ceil (const RealPoint &p) const

Point	round (const RealPoint &p) const

RealPoint	embed (const Point &p) const

Orientation	orientation (const Point &p) const

bool	operator() (const Point &p) const

const Point &	getLowerBound () const

const Point &	getUpperBound () const

Vector	resolution () const

RealVector	gridSteps () const

void	selfDisplay (std::ostream &out) const

bool	isValid () const

Protected Attributes
CountedConstPtrOrConstPtr< EuclideanShape >	myEShape
	The referenced shape or 0 if not initialized. More...

RegularPointEmbedder< Space >	myPointEmbedder
	The embedder. More...

Point	myLowerPoint
	Digital lowest point. More...

Point	myUpperPoint
	Digital uppest point. More...

Detailed Description

template<typename TSpace, typename TEuclideanShape>
class DGtal::GaussDigitizer< TSpace, TEuclideanShape >

Aim: A class for computing the Gauss digitization of some Euclidean shape, i.e. its intersection with some \( h_1 Z \times h_2 Z \times \cdots \times h_n Z \). Note that the real point (0,...,0) is mapped onto the digital point (0,...,0).

Description of template class 'GaussDigitizer'

GaussDigitizer is a model of CDigitalEuclideanShape and CDigitalBoundedShape. It is thus a model of concepts::CPointPredicate. A Gauss digitizer owns a RegularPointEmbedder, a model of CPointEmbedder.

Template Parameters

TSpace	the type of digital Space where the digitized object lies.
TEuclideanShape	a model of CEuclideanOrientedShape and CEuclideanBoundedShape

Examples: dec/exampleHeatLaplace.cpp, geometry/curves/estimation/exampleCurvature.cpp, shapes/exampleEuclideanShapesDecorator.cpp, topology/frontierAndBoundary.cpp, topology/trackImplicitPolynomialSurfaceToOFF.cpp, and tutorial-examples/AreaSurfaceEstimation-final.cpp.

Definition at line 79 of file GaussDigitizer.h.

Member Typedef Documentation

◆ Domain

template<typename TSpace , typename TEuclideanShape >

typedef HyperRectDomain<Space> DGtal::GaussDigitizer< TSpace, TEuclideanShape >::Domain

Definition at line 90 of file GaussDigitizer.h.

◆ EuclideanShape

template<typename TSpace , typename TEuclideanShape >

typedef TEuclideanShape DGtal::GaussDigitizer< TSpace, TEuclideanShape >::EuclideanShape

Definition at line 89 of file GaussDigitizer.h.

◆ Integer

template<typename TSpace , typename TEuclideanShape >

typedef Space::Integer DGtal::GaussDigitizer< TSpace, TEuclideanShape >::Integer

Definition at line 84 of file GaussDigitizer.h.

◆ Point

template<typename TSpace , typename TEuclideanShape >

typedef Space::Point DGtal::GaussDigitizer< TSpace, TEuclideanShape >::Point

Definition at line 85 of file GaussDigitizer.h.

◆ PointEmbedder

template<typename TSpace , typename TEuclideanShape >

typedef RegularPointEmbedder<Space> DGtal::GaussDigitizer< TSpace, TEuclideanShape >::PointEmbedder

Definition at line 91 of file GaussDigitizer.h.

◆ RealPoint

template<typename TSpace , typename TEuclideanShape >

typedef Space::RealPoint DGtal::GaussDigitizer< TSpace, TEuclideanShape >::RealPoint

Definition at line 87 of file GaussDigitizer.h.

◆ RealVector

template<typename TSpace , typename TEuclideanShape >

typedef Space::RealPoint DGtal::GaussDigitizer< TSpace, TEuclideanShape >::RealVector

Definition at line 88 of file GaussDigitizer.h.

◆ Space

template<typename TSpace , typename TEuclideanShape >

typedef TSpace DGtal::GaussDigitizer< TSpace, TEuclideanShape >::Space

Definition at line 83 of file GaussDigitizer.h.

◆ Vector

template<typename TSpace , typename TEuclideanShape >

typedef Space::Vector DGtal::GaussDigitizer< TSpace, TEuclideanShape >::Vector

Definition at line 86 of file GaussDigitizer.h.

Constructor & Destructor Documentation

◆ ~GaussDigitizer()

template<typename TSpace , typename TEuclideanShape >

DGtal::GaussDigitizer< TSpace, TEuclideanShape >::~GaussDigitizer ( )

Destructor.

◆ GaussDigitizer()

template<typename TSpace , typename TEuclideanShape >

DGtal::GaussDigitizer< TSpace, TEuclideanShape >::GaussDigitizer ( )

Constructor. The object is not valid.

Member Function Documentation

◆ attach()

template<typename TSpace , typename TEuclideanShape >

void DGtal::GaussDigitizer< TSpace, TEuclideanShape >::attach ( ConstAlias< EuclideanShape > shape )

Parameters

shape the digitizer now references the given shape.

Examples: dec/exampleHeatLaplace.cpp, geometry/curves/estimation/exampleCurvature.cpp, and shapes/exampleEuclideanShapesDecorator.cpp.

Referenced by ballGenerator(), estimatorOnShapeDigitization(), getComplex(), laplace_sphere(), main(), testCombinatorialSurface(), testCompareEstimator(), testCurvature2d(), testDigitalSurfaceBoostGraphInterface(), testDigitization(), testEstimatorCache(), testFitting(), testGaussianCurvature3d(), testMeanCurvature3d(), testPrincipalCurvatures3d(), testRaySurface(), testTrueLocalEstimatorOnShapeDigitization(), and testUmbrellaComputer().

◆ BOOST_CONCEPT_ASSERT()

template<typename TSpace , typename TEuclideanShape >

DGtal::GaussDigitizer< TSpace, TEuclideanShape >::BOOST_CONCEPT_ASSERT ( (concepts::CEuclideanOrientedShape< TEuclideanShape >) )

◆ ceil()

template<typename TSpace , typename TEuclideanShape >

Point DGtal::GaussDigitizer< TSpace, TEuclideanShape >::ceil ( const RealPoint & p ) const

Parameters

p	any point in the Euclidean space.

Returns: the digital point ceil( p / gridSteps ).

◆ embed()

template<typename TSpace , typename TEuclideanShape >

RealPoint DGtal::GaussDigitizer< TSpace, TEuclideanShape >::embed ( const Point & p ) const

Map a digital point to its corresponding point in the Eucldiean space.

Parameters

p	any digital point in the digital space.

Returns: its centroid embedding in the Euclidean space.

Referenced by DGtal::GaussDigitizer< TSpace, TEuclideanShape >::orientation().

◆ floor()

template<typename TSpace , typename TEuclideanShape >

Point DGtal::GaussDigitizer< TSpace, TEuclideanShape >::floor ( const RealPoint & p ) const

Parameters

p	any point in the Euclidean space.

Returns: the digital point floor( p / gridSteps ).

◆ getDomain()

template<typename TSpace , typename TEuclideanShape >

Domain DGtal::GaussDigitizer< TSpace, TEuclideanShape >::getDomain ( ) const

Returns: the domain chosen for the digitizer.

See also: init

Examples: geometry/curves/estimation/exampleCurvature.cpp.

Referenced by ballGenerator(), estimatorOnShapeDigitization(), laplace_sphere(), main(), testCombinatorialSurface(), testCompareEstimator(), testDigitalSurfaceBoostGraphInterface(), testDigitization(), testTrueLocalEstimatorOnShapeDigitization(), and testUmbrellaComputer().

◆ getLowerBound()

template<typename TSpace , typename TEuclideanShape >

const Point & DGtal::GaussDigitizer< TSpace, TEuclideanShape >::getLowerBound ( ) const

Returns: the lowest admissible digital point.

See also: init

Examples: geometry/curves/estimation/exampleCurvature.cpp.

Referenced by ballGenerator(), estimatorOnShapeDigitization(), testCompareEstimator(), testCurvature2d(), testDigitization(), testEstimatorCache(), testGaussianCurvature3d(), testMeanCurvature3d(), testPrincipalCurvatures3d(), testRaySurface(), and testTrueLocalEstimatorOnShapeDigitization().

◆ getUpperBound()

template<typename TSpace , typename TEuclideanShape >

const Point & DGtal::GaussDigitizer< TSpace, TEuclideanShape >::getUpperBound ( ) const

Returns: the highest admissible digital point.

See also: init

Examples: geometry/curves/estimation/exampleCurvature.cpp.

Referenced by ballGenerator(), estimatorOnShapeDigitization(), testCompareEstimator(), testCurvature2d(), testDigitization(), testEstimatorCache(), testGaussianCurvature3d(), testMeanCurvature3d(), testPrincipalCurvatures3d(), testRaySurface(), and testTrueLocalEstimatorOnShapeDigitization().

◆ gridSteps()

template<typename TSpace , typename TEuclideanShape >

RealVector DGtal::GaussDigitizer< TSpace, TEuclideanShape >::gridSteps ( ) const

Returns: the grid steps in each direction.

◆ init() [1/2]

template<typename TSpace , typename TEuclideanShape >

void DGtal::GaussDigitizer< TSpace, TEuclideanShape >::init	(	const RealPoint &	xLow,
		const RealPoint &	xUp,
		const RealVector &	gridSteps
	)

Initializes the digital bounds of the digitizer so as to cover at least the space specified by [xLow] and [xUp]. The real vector [gridSteps] specifies the grid steps in each direction.

Parameters

xLow	Euclidean lower bound for the digitizer.
xUp	Euclidean upper bound for the digitizer.
gridSteps	the grid steps in each direction.

◆ init() [2/2]

template<typename TSpace , typename TEuclideanShape >

void DGtal::GaussDigitizer< TSpace, TEuclideanShape >::init	(	const RealPoint &	xLow,
		const RealPoint &	xUp,
		typename RealVector::Component	gridStep
	)

Initializes the digital bounds of the digitizer so as to cover at least the space specified by [xLow] and [xUp]. The real value [gridStep] specifies the same grid step in every direction.

Parameters

xLow	Euclidean lower bound for the digitizer.
xUp	Euclidean upper bound for the digitizer.
gridStep	the grid step (distance between two embedded adjacent digital points) identical in every direction.

Examples: geometry/curves/estimation/exampleCurvature.cpp.

Referenced by ballGenerator(), estimatorOnShapeDigitization(), laplace_sphere(), main(), testCombinatorialSurface(), testCompareEstimator(), testCurvature2d(), testDigitalSurfaceBoostGraphInterface(), testDigitization(), testEstimatorCache(), testGaussianCurvature3d(), testMeanCurvature3d(), testPrincipalCurvatures3d(), testRaySurface(), testTrueLocalEstimatorOnShapeDigitization(), and testUmbrellaComputer().

◆ isValid()

template<typename TSpace , typename TEuclideanShape >

bool DGtal::GaussDigitizer< TSpace, TEuclideanShape >::isValid ( ) const

Checks the validity/consistency of the object.

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

◆ operator()()

template<typename TSpace , typename TEuclideanShape >

bool DGtal::GaussDigitizer< TSpace, TEuclideanShape >::operator() ( const Point & p ) const

Parameters

p	any point in the digital plane.

Returns: 'true' if the point is inside the shape, 'false' if it is strictly outside.

◆ operator=()

template<typename TSpace , typename TEuclideanShape >

GaussDigitizer & DGtal::GaussDigitizer< TSpace, TEuclideanShape >::operator= ( const GaussDigitizer< TSpace, TEuclideanShape > & other )

Assignment. Required by concepts::CPointPredicate.

Parameters

other the object to copy.

Returns: a reference on 'this'.

◆ orientation()

template<typename TSpace , typename TEuclideanShape >

Orientation DGtal::GaussDigitizer< TSpace, TEuclideanShape >::orientation ( const Point & p ) const

inline

Orientation method to match with CDigitalOrientedShape concept.

Parameters

p	a digital point

Returns: negative orientation if the point is inside the shape, 0 if it is on the shape and positive orientation otherwise.

Definition at line 194 of file GaussDigitizer.h.

    { 
      return myEShape->orientation(embed(p));
    }

References DGtal::GaussDigitizer< TSpace, TEuclideanShape >::embed(), and DGtal::GaussDigitizer< TSpace, TEuclideanShape >::myEShape.

◆ pointEmbedder()

template<typename TSpace , typename TEuclideanShape >

const PointEmbedder & DGtal::GaussDigitizer< TSpace, TEuclideanShape >::pointEmbedder ( ) const

Returns: the associated point embedder.

Referenced by main().

◆ resolution()

template<typename TSpace , typename TEuclideanShape >

Vector DGtal::GaussDigitizer< TSpace, TEuclideanShape >::resolution ( ) const

Returns: the resolution in each direction.

◆ round()

template<typename TSpace , typename TEuclideanShape >

Point DGtal::GaussDigitizer< TSpace, TEuclideanShape >::round ( const RealPoint & p ) const

Parameters

p	any point in the Euclidean space.

Returns: the digital point round( p / gridSteps ), i.e. the "closest" digital point.

◆ selfDisplay()

template<typename TSpace , typename TEuclideanShape >

void DGtal::GaussDigitizer< TSpace, TEuclideanShape >::selfDisplay ( std::ostream & out ) const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

Field Documentation

◆ myEShape

template<typename TSpace , typename TEuclideanShape >

CountedConstPtrOrConstPtr<EuclideanShape> DGtal::GaussDigitizer< TSpace, TEuclideanShape >::myEShape

protected

The referenced shape or 0 if not initialized.

Definition at line 248 of file GaussDigitizer.h.

Referenced by DGtal::GaussDigitizer< TSpace, TEuclideanShape >::orientation().

◆ myLowerPoint

template<typename TSpace , typename TEuclideanShape >

Point DGtal::GaussDigitizer< TSpace, TEuclideanShape >::myLowerPoint

protected

Digital lowest point.

Definition at line 254 of file GaussDigitizer.h.

◆ myPointEmbedder

template<typename TSpace , typename TEuclideanShape >

RegularPointEmbedder<Space> DGtal::GaussDigitizer< TSpace, TEuclideanShape >::myPointEmbedder

protected

The embedder.

Definition at line 251 of file GaussDigitizer.h.

◆ myUpperPoint

template<typename TSpace , typename TEuclideanShape >

Point DGtal::GaussDigitizer< TSpace, TEuclideanShape >::myUpperPoint

protected

Digital uppest point.

Definition at line 257 of file GaussDigitizer.h.

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

GaussDigitizer.h

Public Types

Public Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ Domain

◆ EuclideanShape

◆ Integer

◆ Point

◆ PointEmbedder

◆ RealPoint

◆ RealVector

◆ Space

◆ Vector

Constructor & Destructor Documentation

◆ ~GaussDigitizer()

◆ GaussDigitizer()

Member Function Documentation

◆ attach()

◆ BOOST_CONCEPT_ASSERT()

◆ ceil()

◆ embed()

◆ floor()

◆ getDomain()

◆ getLowerBound()

◆ getUpperBound()

◆ gridSteps()

◆ init() [1/2]

◆ init() [2/2]

◆ isValid()

◆ operator()()

◆ operator=()

◆ orientation()

◆ pointEmbedder()

◆ resolution()

◆ round()

◆ selfDisplay()

Field Documentation

◆ myEShape

◆ myLowerPoint

◆ myPointEmbedder

◆ myUpperPoint