Geometric Modeling - Hardcover

Mortenson, Michael E.

Hardcover

ISBN 10: 0471882798 ISBN 13: 9780471882794

Publisher: John Wiley & Sons, 1985

Synopsis

This text presents the nature, development and application of the basic concepts of geometric modeling. While this text is written for upper-division and graduate students in engineering, computer science, or applied mathematics, it is also useful for those already practicing in these and related fields. Readers should already be familiar with elementary calculus, analytical geometry and vectors and matrix methods, since the book simply reviews some results in these areas, without the burden of proofs, to emphasize certain important computational features. Geometric Modeling consists of three parts: parametric geometry, solid modeling, and applications. The first eight chapters lay the foundation with the parametric geometry of curves, surfaces and solids and show how particular formulations facilitate calculating geometric properties. The next three chapters explore the fundamentals of solid model construction and analysis from many points of view. The final chapters discuss three important areas of application: computer graphics, CAD and CAM. The last chapter is a broad view of the frontiers of geometric modeling.

About this title

From the Back Cover

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.

About the Author

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.

Edition details

• Publisher: John Wiley & Sons
• Publication date: 1985
• Language: English
• ISBN 10: 0471882798
• ISBN 13: 9780471882794
• Binding: Hardcover
• Edition number: 2
• Number of pages: 784