Set of distance functions. More...

#include <vgl/vgl_fwd.h>

Functions
template<class T >
double	vgl_distance2_to_linesegment (T x1, T y1, T x2, T y2, T x, T y)
	Squared distance between point (x,y) and closest point on line segment (x1,y1)-(x2,y2).
template<class T >
double	vgl_distance_to_linesegment (T x1, T y1, T x2, T y2, T x, T y)
	Distance between point (x,y) and closest point on line segment (x1,y1)-(x2,y2).
template<class T >
double	vgl_distance2_to_linesegment (T x1, T y1, T z1, T x2, T y2, T z2, T x, T y, T z)
	Squared distance between point (x,y,z) and closest point on line segment (x1,y1,z1)-(x2,y2,z2).
template<class T >
double	vgl_distance_to_linesegment (T x1, T y1, T z1, T x2, T y2, T z2, T x, T y, T z)
	Distance between point (x,y,z) and closest point on line segment (x1,y1,z1)-(x2,y2,z2).
template<class T >
double	vgl_distance_to_non_closed_polygon (T const px[], T const py[], unsigned int n, T x, T y)
	Distance between point (x,y) and closest point on open polygon (px[i],py[i]).
template<class T >
double	vgl_distance_to_non_closed_polygon (T const px[], T const py[], T const pz[], unsigned int n, T x, T y, T z)
	Distance between point (x,y,z) and closest point on open polygon (px[i],py[i],pz[i]).
template<class T >
double	vgl_distance_to_closed_polygon (T const px[], T const py[], unsigned int n, T x, T y)
	Distance between point (x,y) and closest point on closed polygon (px[i],py[i]).
template<class T >
double	vgl_distance_to_closed_polygon (T const px[], T const py[], T const pz[], unsigned int n, T x, T y, T z)
	Distance between point (x,y,z) and closest point on closed polygon (px[i],py[i]),pz[i].
template<class T >
double	vgl_distance_origin (vgl_line_2d< T > const &l)
	find the shortest distance of the line to the origin.
template<class T >
double	vgl_distance_origin (vgl_plane_3d< T > const &pl)
	find the shortest distance of the plane to the origin.
template<class T >
double	vgl_distance_origin (vgl_line_3d_2_points< T > const &l)
	find the shortest distance of the line to the origin.
template<class T >
double	vgl_distance_origin (vgl_homg_line_2d< T > const &l)
	find the shortest distance of the line to the origin.
template<class T >
double	vgl_distance_origin (vgl_homg_plane_3d< T > const &pl)
	find the shortest distance of the plane to the origin.
template<class T >
double	vgl_distance_origin (vgl_homg_line_3d_2_points< T > const &l)
	find the shortest distance of the line to the origin.
template<class T >
double	vgl_distance (vgl_point_2d< T >const &p1, vgl_point_2d< T >const &p2)
	return the distance between two points.
template<class T >
double	vgl_distance (vgl_point_3d< T >const &p1, vgl_point_3d< T >const &p2)
	return the distance between two points.
template<class T >
double	vgl_distance (vgl_homg_point_1d< T >const &p1, vgl_homg_point_1d< T >const &p2)
	return the distance between two points.
template<class T >
double	vgl_distance (vgl_homg_point_2d< T >const &p1, vgl_homg_point_2d< T >const &p2)
	return the distance between two points.
template<class T >
double	vgl_distance (vgl_homg_point_3d< T >const &p1, vgl_homg_point_3d< T >const &p2)
	return the distance between two points.
template<class T >
double	vgl_distance (vgl_line_2d< T > const &l, vgl_point_2d< T > const &p)
	return the perpendicular distance from a point to a line in 2D.
template<class T >
double	vgl_distance (vgl_point_2d< T > const &p, vgl_line_2d< T > const &l)
template<class T >
double	vgl_distance (vgl_homg_line_2d< T > const &l, vgl_homg_point_2d< T > const &p)
	return the perpendicular distance from a point to a line in 2D.
template<class T >
double	vgl_distance (vgl_homg_point_2d< T > const &p, vgl_homg_line_2d< T > const &l)
template<class T >
double	vgl_distance (vgl_plane_3d< T > const &l, vgl_point_3d< T > const &p)
	return the perpendicular distance from a point to a plane in 3D.
template<class T >
double	vgl_distance (vgl_point_3d< T > const &p, vgl_plane_3d< T > const &l)
template<class T >
double	vgl_distance (vgl_homg_plane_3d< T > const &l, vgl_homg_point_3d< T > const &p)
	return the perpendicular distance from a point to a plane in 3D.
template<class T >
double	vgl_distance (vgl_homg_point_3d< T > const &p, vgl_homg_plane_3d< T > const &l)
template<class T >
double	vgl_distance (vgl_polygon< T > const &poly, vgl_point_2d< T > const &point, bool closed=true)
	distance between a point and the closest point on the polygon.
template<class T >
double	vgl_distance (vgl_point_2d< T > const &point, vgl_polygon< T > const &poly, bool closed=true)
template<class T >
double	vgl_distance (vgl_homg_line_3d_2_points< T > const &line1, vgl_homg_line_3d_2_points< T > const &line2)
	Return the perpendicular distance between two lines in 3D.
template<class T >
double	vgl_distance (vgl_homg_line_3d_2_points< T > const &l, vgl_homg_point_3d< T > const &p)
	Return the perpendicular distance from a point to a line in 3D.
template<class T >
double	vgl_distance (vgl_homg_point_3d< T > const &p, vgl_homg_line_3d_2_points< T > const &l)
template<class T >
double	vgl_distance (vgl_line_3d_2_points< T > const &l, vgl_point_3d< T > const &p)
	Return the perpendicular distance from a point to a line in 3D.
template<class T >
double	vgl_distance (vgl_point_3d< T > const &p, vgl_line_3d_2_points< T > const &l)
template<class T >
double	vgl_distance (vgl_ray_3d< T > const &r, vgl_point_3d< T > const &p)
	return the closest distance from a point to a ray.
template<class T >
double	vgl_distance (vgl_point_3d< T > const &p, vgl_ray_3d< T > const &r)
template<class T >
double	vgl_distance (vgl_line_segment_2d< T > const &l, vgl_point_2d< T > const &p)
	Closest distance from a point p to a line segment l in 2D.
template<class T >
double	vgl_distance (vgl_point_2d< T > const &p, vgl_line_segment_2d< T > const &l)
template<class T >
double	vgl_distance (vgl_line_segment_3d< T > const &l, vgl_point_3d< T > const &p)
	Closest distance from a point p to a line segment l in 3D.
template<class T >
double	vgl_distance (vgl_point_3d< T > const &p, vgl_line_segment_3d< T > const &l)

Detailed Description

Set of distance functions.

Author:: fsm

Note that these functions return double, not the template parameter Type, since e.g. the distance between two vgl_point_2d<int> is not always an int, but even the squared distance between such a point and a line is not integer.

    Modifications
      2 July 2001 Peter Vanroose added vgl_distance(point,line) and (point,plane)
      2 July 2001 Peter Vanroose inlined 4 functions and made return types double
      2 Jan. 2003 Peter Vanroose corrected functions returning negative distance
      5 June 2003 Peter Vanroose added vgl_distance(line_3d,line_3d)
     11 June 2003 Peter Vanroose added vgl_distance(line_3d,point_3d)
     14 Nov. 2003 Peter Vanroose made all functions templated
     25 Sept 2004 Peter Vanroose added 3D vgl_distance_to_linesegment()
     25 Sept 2004 Peter Vanroose added 3D vgl_distance_to_*_polygon()

Definition in file vgl_distance.h.