Extended point with homogeneous coordinates in the two-dimensional space. More...

#include <mb_homogeneous.h>

Collaboration diagram for MbHomogeneous:

Public Member Functions
	MbHomogeneous ()
	Default constructor.

	MbHomogeneous (const MbVector &v, double ww)
	The constructor by a point and a weight.

	MbHomogeneous (const MbHomogeneous &other)
	The copy constructor.

	MbHomogeneous (double initX, double initY, double initW)
	The constructor by point components and weight.

void	Init (double initX, double initY)
	The initialization by point components.

void	Init (double initX, double initY, double initW)
	The initialization by point components and weight.

void	Init (const MbCartPoint &pnt, double weight)
	The initialization by point components and weight.

void	SetZero ()
	Set a vector with null length.

void	Transform (const MbMatrix &matr)
	The transformation by a matrix.

void	Move (const MbVector &shift)
	Translate along a vector.

void	Rotate (const MbCartPoint &pnt, double angle)
	Rotate by an angle. More...

double	GetWeight () const
	Get a point weight.

void	GetCartPoint (MbCartPoint &pnt) const
	Calculate cartesian coordinates as point.

void	GetVector (MbVector &vect) const
	Calculate cartesian coordinates as vector.

void	Set (const MbCartPoint &pnt)
	Transform a point to homogeneous coordinates.

void	Set (const MbCartPoint &pnt, double weight)
	Transform a point to homogeneous coordinates.

void	Set (const MbVector &pnt, double weight)
	Transform a vector to homogeneous coordinates.

void	Set (const MbCartPoint &pnt1, double weight1, const MbCartPoint &pnt2, double weight2)
	Set by points. More...

void	Add (double initX, double initY, double weight)
	Increase coordinates by given values. More...

void	Add (const MbCartPoint &pnt1, double weight1, const MbCartPoint &pnt2, double weight2)
	Add points. More...

void	Add (const MbCartPoint &pnt, double weight)
	Add a point. More...

void	Dec (const MbHomogeneous &p1, const MbHomogeneous &p2, double kk)
	Subtract p2 - p1 multiple by kk.

void	Set (const MbHomogeneous &v1, double t1)
	Equate coordinates of vector with coordinates of point v1 multiplied by t1.

void	Set (const MbHomogeneous &v1, double t1, const MbHomogeneous &v2, double t2)
	Equate vector coordinates with sum of points v1 and v2 multiplied with t1 and t2 correspondingly.

void	Set (const MbHomogeneous &v1, double t1, const MbHomogeneous &v2, double t2, const MbHomogeneous &v3, double t3)
	Equate vector coordinates with coordinates of sum of vectors v1, v2 and v3 multiplied with t1, t2 and t3 correspondingly.

void	Set (const MbHomogeneous &v1, double t1, const MbHomogeneous &v2, double t2, const MbHomogeneous &v3, double t3, const MbHomogeneous &v4, double t4)
	Equate vector coordinates with coordinates of sum of points v1, v2, v3 and v4 multiplied with t1, t2, t3 and t4 correspondingly.

void	Set (const MbHomogeneous &v1, double t1, const MbHomogeneous &v2, double t2, const MbHomogeneous &v3, double t3, const MbHomogeneous &v4, double t4, const MbHomogeneous &v5, double t5)
	Equate vector coordinates with coordinates of sum of points v1, v2, v3 and v4 multiplied with t1, t2, t3, t4, t5 correspondingly.

void	Add (const MbHomogeneous &p, double kk)
	Add vector p multiplied by kk.

Overload of arithmetic operations.
MbHomogeneous	operator+ (const MbHomogeneous &with) const
	Add two points.

MbHomogeneous	operator- (const MbHomogeneous &with) const
	Subtract a point from the point.

MbHomogeneous	operator* (double factor) const
	Multiply point coordinates by a number.

MbHomogeneous	operator/ (double factor) const
	Divide point coordinates by a number.

double	operator* (const MbHomogeneous &vector) const
	Scalar product of two vectors.

MbHomogeneous	operator\| (const MbHomogeneous &vect2) const
	Vector product of two vectors.

void	operator= (const MbHomogeneous &other)
	Assign a value.

void	operator*= (double factor)
	Multiply point coordinates by a number.

void	operator/= (double factor)
	Divide point coordinates by a number.

bool	operator== (const MbHomogeneous &) const
	Check for equality with a tolerance of Math::LengthEps. It is recommended to use the IsSame function instead of the == operator,explicitly specifying the comparison tolerance for equality.

bool	operator!= (const MbHomogeneous &) const
	Check for inequality with a tolerance of Math::LengthEps. It is recommended to use the negated result of the IsSame function instead of the != operator, explicitly specifying the equality comparison tolerance.

bool	IsSame (const MbHomogeneous &other, double accuracy) const
	Are the objects equal? More...

Public Attributes
double	x
	A first point coordinate.

double	y
	A second point coordinate.

double	w
	A point weight.

Static Public Attributes
static const MbHomogeneous	zero
	Zero point.

Detailed Description

Extended point with homogeneous coordinates in the two-dimensional space.

Extended point with homogeneous coordinates in the two-dimensional space.
Additional coordinate of a point (weight) is introduced for the convenience of working with non-uniform rational splines.
Operations of transformation of a point and a vector in homogeneous coordinates are defined. Various arithmetic operations of a homogeneous point with a number, a Cartesian point and a homogeneous point are defined.

Member Function Documentation

◆ Rotate()

void MbHomogeneous::Rotate	(	const MbCartPoint &	pnt,
		double	angle
	)

Rotate by an angle.

An angle defines a rotation vector and a point defines a center.

Parameters

[in]	pnt	- A point.
[in]	angle	- A rotation angle.

◆ Set()

void MbHomogeneous::Set	(	const MbCartPoint &	pnt1,
		double	weight1,
		const MbCartPoint &	pnt2,
		double	weight2
	)

inline

Set by points.

Coordinates of a point are equal to the sum of homogeneous coordinates of initial points, and weight is equal to the sum of the weights.

Parameters

[in]	pnt1,pnt2	- Initial points.
[in]	weight1,weight2	- Weights of points.

◆ Add() [1/3]

void MbHomogeneous::Add	(	double	initX,
		double	initY,
		double	weight
	)

inline

Increase coordinates by given values.

Parameters

[in]	initX	- The initial value of x.
[in]	initY	- The initial value of y.
[in]	weight	- A weight.

◆ Add() [2/3]

void MbHomogeneous::Add	(	const MbCartPoint &	pnt1,
		double	weight1,
		const MbCartPoint &	pnt2,
		double	weight2
	)

inline

Add points.

Increase coordinates by values of the homogeneous coordinates of two initial points.

Parameters

[in]	pnt1,pnt2	- Initial points.
[in]	weight1,weight2	- Weights of points.

◆ Add() [3/3]

void MbHomogeneous::Add	(	const MbCartPoint &	pnt,
		double	weight
	)

inline

Add a point.

Increase coordinates by values of homogeneous coordinates of a point.

Parameters

[in]	pnt	- The initial point.
[in]	weight	- A point weight.

◆ IsSame()

bool MbHomogeneous::IsSame	(	const MbHomogeneous &	other,
		double	accuracy
	)		const

inline

Are the objects equal?

The objects are equal if their data are equal with a given accuracy.

Parameters

[in]	other	- The object to compare.
[in]	accuracy	- The accuracy to compare.

Returns: Whether the objects are equal.

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

mb_homogeneous.h

Public Member Functions

Public Attributes

Static Public Attributes

Detailed Description

Member Function Documentation

◆ Rotate()

◆ Set()

◆ Add() [1/3]

◆ Add() [2/3]

◆ Add() [3/3]

◆ IsSame()