vgl_homg_line_3d_2_points< Type > Class Template Reference

#include <vgl_homg_line_3d_2_points.h>

List of all members.

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Detailed Description

template<class Type>
class vgl_homg_line_3d_2_points< Type >

Represents a homogeneous 3D line using two points.

A class to hold a homogeneous representation of a 3D Line. The line is stored as a pair of homogeneous 3d points.

Definition at line 25 of file vgl_homg_line_3d_2_points.h.

Public Member Functions
	vgl_homg_line_3d_2_points (void)
	Default constructor with (0,0,0,1) and (1,0,0,0), which is the line y=z=0.
	vgl_homg_line_3d_2_points (const vgl_homg_line_3d_2_points< Type > &that)
	Copy constructor.
	vgl_homg_line_3d_2_points (vgl_homg_point_3d< Type > const &point_1, vgl_homg_point_3d< Type > const &point_2)
	Construct from two points.
bool	operator== (vgl_homg_line_3d_2_points< Type > const &l) const
	comparison.
bool	operator!= (vgl_homg_line_3d_2_points< Type > const &l) const
vgl_homg_point_3d< Type >	point_finite () const
	Finite point (Could be an ideal point, if the whole line is at infinity.
vgl_homg_point_3d< Type >	point_infinite () const
	Infinite point: the intersection of the line with the plane at infinity.
void	set (vgl_homg_point_3d< Type > const &p1, vgl_homg_point_3d< Type > const &p2)
	Assignment.
bool	ideal (Type tol=(Type) 0) const
	Return true iff line is at infinity.
Protected Member Functions
void	force_point2_infinite (void) const
	force the point point_infinite_ to infinity, without changing the line.
Private Attributes
vgl_homg_point_3d< Type >	point_finite_
	Any finite point on the line.
vgl_homg_point_3d< Type >	point_infinite_
	the (unique) point at infinity.
Related Functions
(Note that these are not member functions.)
double	vgl_distance_origin (vgl_homg_line_3d_2_points< T > const &l)
	find the shortest distance of the line to the origin.
bool	is_ideal (l const &line, Type tol=(Type) 0)
	Return true iff line is at infinity.
bool	coplanar (l const &l1, l const &l2)
	Are two lines coplanar, i.e.
bool	concurrent (l const &l1, l const &l2)
	Are two lines concurrent, i.e.
bool	coplanar (l const &l1, l const &l2, l const &l3)
	Are three lines coplanar, i.e.
vgl_homg_point_3d< Type >	intersection (l const &l1, l const &l2)
	Return the intersection point of two concurrent lines.

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Constructor & Destructor Documentation

template<class Type> vgl_homg_line_3d_2_points< Type >::vgl_homg_line_3d_2_points (  void   )  [inline]

Default constructor with (0,0,0,1) and (1,0,0,0), which is the line y=z=0. Definition at line 40 of file vgl_homg_line_3d_2_points.h.

template<class Type> vgl_homg_line_3d_2_points< Type >::vgl_homg_line_3d_2_points (  const vgl_homg_line_3d_2_points< Type > &  that  )  [inline]

Copy constructor. Definition at line 44 of file vgl_homg_line_3d_2_points.h.

template<class Type> vgl_homg_line_3d_2_points< Type >::vgl_homg_line_3d_2_points (  vgl_homg_point_3d< Type > const &  point_1, vgl_homg_point_3d< Type > const &  point_2 )  [inline]

Construct from two points. Definition at line 48 of file vgl_homg_line_3d_2_points.h.

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Member Function Documentation

template<class Type> void vgl_homg_line_3d_2_points< Type >::force_point2_infinite (  void   )  const [protected]

force the point point_infinite_ to infinity, without changing the line. This is called by the constructors Definition at line 40 of file vgl_homg_line_3d_2_points.txx.

template<class Type> bool vgl_homg_line_3d_2_points< Type >::ideal (  Type  tol = (Type)0  )  const [inline]

Return true iff line is at infinity. Definition at line 75 of file vgl_homg_line_3d_2_points.h.

template<class Type> bool vgl_homg_line_3d_2_points< Type >::operator!= (  vgl_homg_line_3d_2_points< Type > const &  l  )  const [inline]

Definition at line 59 of file vgl_homg_line_3d_2_points.h.

template<class Type> bool vgl_homg_line_3d_2_points< Type >::operator== (  vgl_homg_line_3d_2_points< Type > const &  l  )  const

comparison. Definition at line 21 of file vgl_homg_line_3d_2_points.txx.

template<class Type> vgl_homg_point_3d<Type> vgl_homg_line_3d_2_points< Type >::point_finite (   )  const [inline]

Finite point (Could be an ideal point, if the whole line is at infinity. ). Definition at line 64 of file vgl_homg_line_3d_2_points.h.

template<class Type> vgl_homg_point_3d<Type> vgl_homg_line_3d_2_points< Type >::point_infinite (   )  const [inline]

Infinite point: the intersection of the line with the plane at infinity. Definition at line 66 of file vgl_homg_line_3d_2_points.h.

template<class Type> void vgl_homg_line_3d_2_points< Type >::set (  vgl_homg_point_3d< Type > const &  p1, vgl_homg_point_3d< Type > const &  p2 )  [inline]

Assignment. Definition at line 69 of file vgl_homg_line_3d_2_points.h.

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Friends And Related Function Documentation

template<class Type> bool concurrent (  l const &  l1, l const &  l2 )  [related]

Are two lines concurrent, i.e. , do they intersect?. Definition at line 107 of file vgl_homg_line_3d_2_points.h.

template<class Type> bool coplanar (  l const &  l1, l const &  l2, l const &  l3 )  [related]

Are three lines coplanar, i.e. , are they in a common plane?. Definition at line 119 of file vgl_homg_line_3d_2_points.h.

template<class Type> bool coplanar (  l const &  l1, l const &  l2 )  [related]

Are two lines coplanar, i.e. , do they intersect?. Definition at line 101 of file vgl_homg_line_3d_2_points.h.

template<class Type> vgl_homg_point_3d< Type > intersection (  l const &  l1, l const &  l2 )  [related]

Return the intersection point of two concurrent lines.

template<class Type> bool is_ideal (  l const &  line, Type  tol = (Type)0 )  [related]

Return true iff line is at infinity. Definition at line 88 of file vgl_homg_line_3d_2_points.h.

template<class Type> double vgl_distance_origin (  vgl_homg_line_3d_2_points< T > const &  l  )  [related]

find the shortest distance of the line to the origin. Definition at line 199 of file vgl_distance.txx.

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Member Data Documentation

template<class Type> vgl_homg_point_3d<Type> vgl_homg_line_3d_2_points< Type >::point_finite_ [mutable, private]

Any finite point on the line. Definition at line 30 of file vgl_homg_line_3d_2_points.h.

template<class Type> vgl_homg_point_3d<Type> vgl_homg_line_3d_2_points< Type >::point_infinite_ [mutable, private]

the (unique) point at infinity. Definition at line 32 of file vgl_homg_line_3d_2_points.h.

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

• core/vgl/vgl_homg_line_3d_2_points.h
• core/vgl/vgl_distance.h
• core/vgl/vgl_homg_line_3d_2_points.txx
• core/vgl/vgl_line_2d.h
• core/vgl/vgl_line_3d_2_points.h

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