CGAL 4.6.2 - 2D and 3D Linear Geometry Kernel
|
Functions | |
template<typename Kernel > | |
Kernel::FT | CGAL::squared_distance (Type1< Kernel > obj1, Type2< Kernel > obj2) |
computes the square of the Euclidean distance between two geometric objects. More... | |
Kernel::FT CGAL::squared_distance | ( | Type1< Kernel > | obj1, |
Type2< Kernel > | obj2 | ||
) |
computes the square of the Euclidean distance between two geometric objects.
For arbitrary geometric objects obj1
and obj2
the squared distance is defined as the minimal squared_distance(p1, p2)
, where p1
is a point of obj1
and p2
is a point of obj2
. Note that for objects that have an inside (a bounded region), this inside is part of the object. So, the squared distance from a point inside is zero, not the squared distance to the closest point on the boundary.
In 2D, the types Type1
and Type2
can be any of the following:
In 3D, the types Type1
and Type2
can be any of the following:
CGAL::compare_distance_to_point()
CGAL::compare_signed_distance_to_line()
CGAL::compare_signed_distance_to_plane()
CGAL::has_larger_distance_to_point()
CGAL::has_larger_signed_distance_to_line()
CGAL::has_larger_signed_distance_to_plane()
CGAL::has_smaller_distance_to_point()
CGAL::has_smaller_signed_distance_to_line()
CGAL::has_smaller_signed_distance_to_plane()
#include <CGAL/squared_distance_2.h>