ABSTRACT

The problem in giving a description of geometric objects within computer sys­ tems has become more important in the last few years. The significant develop­ ment of computer application fields dealing with solid objects, like CAD/CAM and robotics, motivates a research for effective and efficient solutions. Solid modeling is an important discipline whose goal is to be able to express the entire nature of three-dimensional objects [50], and to make computer systems capable of answering geometric questions algorithmically [39]. Key points in designing a solid model are the capability of satisfying some general requirements, like completeness, integrity, regularity and so on, while giving a representation that is expressive and efficient enough to be used in practical applications.