The aim of this paper is to present
a simplified approach to determine the visibility of complex object modelled
on Constructive Solid Geometry (CSG) hierarchy. Ray casting methodology
is employed to determine visible surfaces of object(s) in a scene. The
work merges two different domains used in the fields of geometric modelling
and graphic display respectively. The work uses CSG hierarchy for establishing
final object forming schema and ray casting technique to render the three-dimensional
objects on two-dimensional screens. In ray casting, a ray is sent out from
each pixel position to locate surface intersections for object modelling
using CSG methods. Given a set of 3D objects and viewing specification
of a scene the visible lines or surfaces of the objects are determined,
so that a realistic graphical display of the scene can be obtained. Visibility
determination in a scene is having numerous downstream applications in
automated machining and graphical rendering of objects during design process.
