Geometric Modeling

Abstract

A comprehensive, up-to-date presentation of all the indispensable core concepts of geometric modelling. Now completely updated to reflect the most recent developments in the field, Geometric Modelling clearly presents and compares all the important mathematical approaches to modelling curves, surfaces, and solids, and shows how to shape and assemble these elements into more complex models. Its thorough coverage also includes the concomitant geometric processing necessary, e.g., the computation of intersections, offsets, and fillets. Written in a style that is virtually free of the jargon of special applications, this unique book focuses on the essence of geometric modelling and treats it as a discipline in its own right. This integrated approach allows the reader to focus on the principles and logic of geometric modelling without requiring background knowledge of CAD/CAM, computer graphics, or computer programming. Supported by more than 300 illustrations, Geometric Modelling appeals to the reader's visual and intuitive skills in a way that makes understanding the more abstract concepts much easier. This new edition features a host of new application areas, including topology, special effects in cinematography, the design and control of type fonts, and virtual reality, as well as numerous application examples. For computer graphics specialists, application designers and developers, scientific programmers, and advanced students, Geometric Modelling, Second Edition will serve as a complete and invaluable guide to the entire field.