Data structure for the representation of a 2D straight line. More...

#include <Structs.h>

Public Member Functions
	StraightLine2d ()
	StraightLine2d (const Vec2d &point1, const Vec2d &point2)
	StraightLine2d (float angle, float c)
	StraightLine2d (const PointPair2d &pointPair)
Public Attributes
float	c
	The negative scalar product of normalVector and point.
Vec2d	directionVector
	The normalized direction vector of the straight line.
Vec2d	normalVector
	The normalized normal vector of the straight line.
Vec2d	point
	An aribtrary point belonging to the straight line.

Detailed Description

Data structure for the representation of a 2D straight line.

The function PrimitivesDrawer::DrawLine draws a straight line, given its specification in this struct. Other functions (e.g. detectors) can use this struct as well.

The two independent straight line equations are:

1. $\vec{n} \cdot (\vec{x} - \vec{a}) = \vec{n} \cdot \vec{x} - \vec{n} \cdot \vec{a} = \vec{n} \cdot \vec{x} + c$ .

2. $\vec{x} = \vec{a} + r \cdot \vec{u},\ \ r \in R$

where any $\vec{x}$ satisfying one of these equations belongs to the straight line, $\vec{a}$ = point, $\vec{u}$ = directionVector, and $\vec{n}$ = normalVector.