Geometric Modeling

A comprehensive, up-to-date presentation of the indispensable core concepts of geometric modeling

Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right.

It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets).

With more than 300 illustrations, Geometric Modeling, Second Edition appeals to the reader's visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. An extensive bibliography lists many supporting works, directing the reader to more specialized treatments of this subject.

Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students.

MICHAEL E. MORTENSON writes and consults in geometric modeling and CAD/CAM. A former research engineer in CAD/CAM with the McDonnell Douglas Corporation, he is the author of Geometric Transformations, and An Introduction to the Mathematics and Geometry of Computer Graphics, as well as the highly successful first edition of Geometric Modeling.