QSH : Quasi Shears represents a bijective rotation through shears. More...

#include <DGtal/images/bijectiveRotations/QSH.h>

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))
	Checking concepts. More...

	BOOST_STATIC_ASSERT ((TSpace::dimension==2))

	BOOST_STATIC_ASSERT ((TOutputValue::dimension==2))

	BOOST_STATIC_ASSERT ((TInputValue::dimension==2))

TOutputValue	hqs (const TOutputValue X, const double a, const double b, const double c) const

TOutputValue	vqs (const TOutputValue X, const double a, const double b, const double c) const

TOutputValue	hqs_p (const TOutputValue X, const double ap, const double bp, const double omega) const

TOutputValue	vqs_p (const TOutputValue X, const double a, const double bp, const double omega) const

template<typename Img >
Img	rotateImage (Img img) const

	QSH (double ang, TOutputValue ptCenter)

void	initQSHRotation ()
	init a QSH rotation using Andres' parameters More...

double	angle () const

void	set_angle (const double new_angle)
	set rotation angle More...

TOutputValue	center () const

TOutputValue &	center ()

TOutputValue	rotate (const TInputValue &p) const

TOutputValue	operator() (const TInputValue &p) const

std::string	tostring () const

template<typename TImage >
TImage	rotateImage (const TImage img) const

Protected Attributes
double	my_angle
	The angle of rotation. More...

TOutputValue	my_center
	The center of rotation. More...

Private Attributes
const double	omega =1<<15
	shears variables More...

double	a

double	aprime

double	bprime

Detailed Description

template<typename TSpace, typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>
struct DGtal::QSH< TSpace, TInputValue, TOutputValue >

QSH : Quasi Shears represents a bijective rotation through shears.

Description of template struct CDLR

Template Parameters

TSpace	a 2 dimensional space.
TInputValue	type of the input point e.g., TSpace::RealPoint.
TOutputValue	type of the output point e.g., TSpace::Point

Definition at line 50 of file QSH.h.

Constructor & Destructor Documentation

◆ QSH()

template<typename TSpace , typename TInputValue , typename TOutputValue >

DGtal::QSH< TSpace, TInputValue, TOutputValue >::QSH	(	double	ang,
		TOutputValue	ptCenter
	)

QSH Constructor.

Parameters

ang	the angle given in radians.
ptCenter	the center of rotation.

Definition at line 132 of file QSH.h.

                                                                                          :my_angle(ang),my_center(ptCenter){
     initQSHRotation();
 }

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::initQSHRotation().

Member Function Documentation

◆ angle()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

double DGtal::QSH< TSpace, TInputValue, TOutputValue >::angle ( ) const

inline

Returns: the angle of rotation.

Definition at line 92 of file QSH.h.

92 {return my_angle;};

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::my_angle.

◆ BOOST_CONCEPT_ASSERT()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

DGtal::QSH< TSpace, TInputValue, TOutputValue >::BOOST_CONCEPT_ASSERT ( (concepts::CSpace< TSpace >) )

Checking concepts.

◆ BOOST_STATIC_ASSERT() [1/3]

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

DGtal::QSH< TSpace, TInputValue, TOutputValue >::BOOST_STATIC_ASSERT ( (TInputValue::dimension==2) )

◆ BOOST_STATIC_ASSERT() [2/3]

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

DGtal::QSH< TSpace, TInputValue, TOutputValue >::BOOST_STATIC_ASSERT ( (TOutputValue::dimension==2) )

◆ BOOST_STATIC_ASSERT() [3/3]

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

DGtal::QSH< TSpace, TInputValue, TOutputValue >::BOOST_STATIC_ASSERT ( (TSpace::dimension==2) )

◆ center() [1/2]

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

TOutputValue& DGtal::QSH< TSpace, TInputValue, TOutputValue >::center ( )

inline

Returns: a reference to the centre of rotation

Definition at line 101 of file QSH.h.

101 {return my_center;};

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::my_center.

◆ center() [2/2]

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::center ( ) const

inline

Returns: the centre of rotation

Definition at line 99 of file QSH.h.

99 {return my_center;};

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::my_center.

◆ hqs()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::hqs	(	const TOutputValue	X,
		const double	a,
		const double	b,
		const double	c
	)		const

inline

Definition at line 60 of file QSH.h.

                                                                                                        {
         return TOutputValue{X[0] + static_cast<int>(round((a*X[1]+c)/b)),X[1]};
     }

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::hqs_p().

◆ hqs_p()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::hqs_p	(	const TOutputValue	X,
		const double	ap,
		const double	bp,
		const double	omega
	)		const

inline

Definition at line 67 of file QSH.h.

                                                                                                                {
         return hqs(X, -ap, bp, 0.0);
     }

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::hqs().

◆ initQSHRotation()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

void DGtal::QSH< TSpace, TInputValue, TOutputValue >::initQSHRotation ( )

inline

init a QSH rotation using Andres' parameters

Definition at line 85 of file QSH.h.

                           {
             a = round(omega*std::sin(my_angle));
             aprime = round(omega*std::sin(my_angle/2.0));
             bprime = round(omega*std::cos(my_angle/2.0));
     }

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::aprime, DGtal::QSH< TSpace, TInputValue, TOutputValue >::bprime, DGtal::QSH< TSpace, TInputValue, TOutputValue >::my_angle, and DGtal::QSH< TSpace, TInputValue, TOutputValue >::omega.

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::QSH(), and DGtal::QSH< TSpace, TInputValue, TOutputValue >::set_angle().

◆ operator()()

template<typename TSpace , typename TInputValue , typename TOutputValue >

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::operator() ( const TInputValue & p ) const

Definition at line 144 of file QSH.h.

                                                                                          {
  
     TOutputValue pcentered = p-my_center;
  
     TOutputValue y1 = hqs_p(pcentered, aprime, bprime, omega);
     TOutputValue y2 = vqs_p(y1, a, bprime, omega);
     TOutputValue y = hqs_p(y2, aprime, bprime, omega);
     return y+my_center;
 }

◆ rotate()

template<typename TSpace , typename TInputValue , typename TOutputValue >

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::rotate ( const TInputValue & p ) const

Parameters

p	a lattice point

Returns: the rotation of the point p according to the current angle and center.

Definition at line 139 of file QSH.h.

                                                                                      {
     return this->operator()(p);
 }

◆ rotateImage() [1/2]

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

template<typename TImage >

TImage DGtal::QSH< TSpace, TInputValue, TOutputValue >::rotateImage ( const TImage img ) const

Definition at line 158 of file QSH.h.

                                                                                 {
     typedef typename TImage::Domain TDomain;
     typedef DGtal::functors::DomainRigidTransformation2D < typename TImage::Domain, DGtal::QSH<TSpace>> MyDomainTransformer;
     typedef std::pair < typename TSpace::Point, typename TSpace::Point > Bounds;
  
  
     MyDomainTransformer domainTransformer ( *this );
     Bounds bounds = domainTransformer ( img.domain() );
     TDomain transformedDomain ( bounds.first, bounds.second );
     TImage rotatedImage ( transformedDomain );
  
  
  
     for (typename TDomain::ConstIterator it = img.domain().begin(); it != img.domain().end(); ++it )
     {
         rotatedImage.setValue((*this)(*it),img(*it));
     }
  
     return rotatedImage;
 }

◆ rotateImage() [2/2]

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

template<typename Img >

Img DGtal::QSH< TSpace, TInputValue, TOutputValue >::rotateImage ( Img img ) const

◆ set_angle()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

void DGtal::QSH< TSpace, TInputValue, TOutputValue >::set_angle ( const double new_angle )

inline

set rotation angle

Definition at line 95 of file QSH.h.

95 {my_angle=new_angle;initQSHRotation();}

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::initQSHRotation(), and DGtal::QSH< TSpace, TInputValue, TOutputValue >::my_angle.

◆ tostring()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

std::string DGtal::QSH< TSpace, TInputValue, TOutputValue >::tostring ( ) const

inline

Definition at line 110 of file QSH.h.

                                {
         return {"QSH"};
     }

◆ vqs()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::vqs	(	const TOutputValue	X,
		const double	a,
		const double	b,
		const double	c
	)		const

inline

Definition at line 63 of file QSH.h.

                                                                                                        {
         return TOutputValue{X[0], X[1] + static_cast<int>((round((a*X[0]+c)/b)))};
     }

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::vqs_p().

◆ vqs_p()

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::vqs_p	(	const TOutputValue	X,
		const double	a,
		const double	bp,
		const double	omega
	)		const

inline

Definition at line 70 of file QSH.h.

                                                                                                               {
         return vqs(X,a, omega, round(omega/2.0));
     }

References DGtal::QSH< TSpace, TInputValue, TOutputValue >::omega, and DGtal::QSH< TSpace, TInputValue, TOutputValue >::vqs().

Field Documentation

◆ a

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

double DGtal::QSH< TSpace, TInputValue, TOutputValue >::a

private

Definition at line 124 of file QSH.h.

◆ aprime

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

double DGtal::QSH< TSpace, TInputValue, TOutputValue >::aprime

private

Definition at line 125 of file QSH.h.

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::initQSHRotation().

◆ bprime

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

double DGtal::QSH< TSpace, TInputValue, TOutputValue >::bprime

private

Definition at line 126 of file QSH.h.

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::initQSHRotation().

◆ my_angle

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

double DGtal::QSH< TSpace, TInputValue, TOutputValue >::my_angle

protected

The angle of rotation.

Definition at line 116 of file QSH.h.

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::angle(), DGtal::QSH< TSpace, TInputValue, TOutputValue >::initQSHRotation(), and DGtal::QSH< TSpace, TInputValue, TOutputValue >::set_angle().

◆ my_center

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

TOutputValue DGtal::QSH< TSpace, TInputValue, TOutputValue >::my_center

protected

The center of rotation.

Definition at line 118 of file QSH.h.

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::center().

◆ omega

template<typename TSpace , typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>

const double DGtal::QSH< TSpace, TInputValue, TOutputValue >::omega =1<<15

private

shears variables

Definition at line 123 of file QSH.h.

Referenced by DGtal::QSH< TSpace, TInputValue, TOutputValue >::initQSHRotation(), and DGtal::QSH< TSpace, TInputValue, TOutputValue >::vqs_p().

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

QSH.h

Public Member Functions

Protected Attributes

Private Attributes

Detailed Description

template<typename TSpace, typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point> struct DGtal::QSH< TSpace, TInputValue, TOutputValue >

Constructor & Destructor Documentation

◆ QSH()

Member Function Documentation

◆ angle()

◆ BOOST_CONCEPT_ASSERT()

◆ BOOST_STATIC_ASSERT() [1/3]

◆ BOOST_STATIC_ASSERT() [2/3]

◆ BOOST_STATIC_ASSERT() [3/3]

◆ center() [1/2]

◆ center() [2/2]

◆ hqs()

◆ hqs_p()

◆ initQSHRotation()

◆ operator()()

◆ rotate()

◆ rotateImage() [1/2]

◆ rotateImage() [2/2]

◆ set_angle()

◆ tostring()

◆ vqs()

◆ vqs_p()

Field Documentation

◆ a

◆ aprime

◆ bprime

◆ my_angle

◆ my_center

◆ omega

template<typename TSpace, typename TInputValue = typename TSpace::Point, typename TOutputValue = typename TSpace::Point>
struct DGtal::QSH< TSpace, TInputValue, TOutputValue >