This state-of-the-art text explores developments in geometric modeling, product modeling and their applications. In particular, it looks at the means by which product geometry emerges from the conceptual stages of design, and the use of geometric reasoning for applications downstream of design, including manufacture ands assembly. Much existing design research is either totally geometry based or totally non-geometric, and the interface between the two areas is of intense interest to industry, as well as being crucial for the successful development of integrated systems for design and manufacture. This interface is currently not well understood and the book makes a significant contribution towards its understanding. This book is essential reading for technical managers and research and development engineers.