CGAL 5.1.3  2D and 3D Linear Geometry Kernel

AdaptableFunctor
(with two arguments)CGAL::bisector()
Operations  
Kernel::Plane_3  operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q) 
constructs the bisector plane of p and q . More...  
Kernel::Plane_3  operator() (const Kernel::Plane_3 &h1, const Kernel::Plane_3 &h2) 
constructs the bisector of the two planes h1 and h2 . More...  
Kernel::Plane_3 Kernel::ConstructBisector_3::operator()  (  const Kernel::Point_3 &  p, 
const Kernel::Point_3 &  q  
) 
constructs the bisector plane of p
and q
.
The bisector is oriented in such a way that p
lies on its positive side.
p
and q
are not equal. Kernel::Plane_3 Kernel::ConstructBisector_3::operator()  (  const Kernel::Plane_3 &  h1, 
const Kernel::Plane_3 &  h2  
) 
constructs the bisector of the two planes h1
and h2
.
In the general case, the bisector has a normal vector which has the same direction as the sum of the normalized normal vectors of the two planes, and passes through the intersection of h1
and h2
. If h1
and h2
are parallel, then the bisector is defined as the plane which has the same oriented normal vector as h1
, and which is at the same distance from h1
and h2
.