Kernel::ConstructSphere_3

Kernel::Sphere_3	fo.operator() ( Kernel::Point_3 center, Kernel::FT squared_radius, Orientation orientation = COUNTERCLOCKWISE)
		introduces a sphere initialized to the sphere with center center, squared radius squared_radius and orientation orientation. Precondition:  orientation $$ COPLANAR, and furthermore, squared_radius $$ 0.
Kernel::Sphere_3	fo.operator() ( Kernel::Point_3 p, Kernel::Point_3 q, Kernel::Point_3 r, Kernel::Point_3 s)
		introduces a sphere initialized to the unique sphere which passes through the points p, q, r and s. The orientation of the sphere is the orientation of the point quadruple p, q, r, s. Precondition:  p, q, r, and s are not coplanar.
Kernel::Sphere_3	fo.operator() ( Kernel::Point_3 p, Kernel::Point_3 q, Kernel::Point_3 r, Orientation o = COUNTERCLOCKWISE)
		introduces a sphere initialized to the smallest sphere which passes through the points p, q, and r. The orientation of the sphere is o. Precondition:  o is not COPLANAR.
Kernel::Sphere_3	fo.operator() ( Kernel::Point_3 p, Kernel::Point_3 q, Orientation o = COUNTERCLOCKWISE)
		introduces a sphere initialized to the smallest sphere which passes through the points p and q. The orientation of the sphere is o. Precondition:  o is not COPLANAR.
Kernel::Sphere_3	fo.operator() ( Kernel::Point_3 center, Orientation orientation = COUNTERCLOCKWISE)
		introduces a sphere $$s initialized to the sphere with center center, squared radius zero and orientation orientation. Precondition:  orientation $$ COPLANAR. Postcondition:  s.is_degenerate() = true.
Kernel::Sphere_3	fo.operator() ( Kernel::Circle_3 c)
		introduces a sphere initialized to the diametral sphere of the circle.

Refines

See Also