Modeling of Curves and Surfaces in Cad/CAM

This book deals with the basic and advanced theories of curves and surfaces and their applications in CAD/CAM. Throughout the book, the description is intended to give readers not only a clear theoretical foundation but also a comprehensive understanding of geometrical properties of shapes and their processing methods. For this purpose, new and powerful methods of free-form surface synthesis and evaluation are introduced that do not rely on unnecessarily complicated mathematics. The book is written for practical engineers who need to know about theories of curves and surfaces and their processing methods for the design and manufacture of engineering objects of high quality. Accordingly, though the various methods are systematically formalized, they are also graphicallyinterpreted so that one can analyze problems just using pencil and paper with the help of the drawings. Many of the theories and methods described have been successfully applied in leading Japanese companies, and real examples are given to illustrate their role in the construction andutilization of integrated CAD/CAM systems.

1 Aims and Features of This Book The contents of t. his book were originally planned t. o be included in a book en titled Geometric lIIodeling and CAD/CAM to be written by M. Hosaka and F. Kimura, but since the draft. of my part of the book was finished much earlier than Kimura's, we decided to publish this part separately at first. In it, geometrically oriented basic methods and tools used for analysis and synthesis of curves and surfaces used in CAD/CAM, various expressions and manipulations of free-form surface patches and their connection, interference as well as their qualit. y eval uation are treated. They are important elements and procedures of geometric models. And construction and utilization of geometric models which include free-form surfaces are explained in the application examples, in which the meth ods and the techniques described in this book were used. In the succeeding book which Kimura is to write, advanced topics such as data structures of geometric models, non-manifold models, geometric inference as well as tolerance problems and product models, process planning and so on are to be included. Conse quently, the title of this book is changed to Modeling of Curves and Surfaces in CAD/CAM. Features of this book are the following. Though there are excellent text books in the same field such as G. Farin's Curves and Surfaces for CAD /CAM l] and C. M."

This book deals with the basic and advanced theories of curves and surfaces and their applications in CAD/CAM. It is written for practical engineers who need the knowledge for the design and manufacture of engineering objects of high quality.