Geometric Modeling

by Michael E. Mortenson

Overview

Completely updated to include the most recent developments in the field, the third edition like the two previous editions, emphasizes clarity and thoroughness in the mathematical development of its subjects. It is written in a style that is free of jargon of special applications, while integrating the three important functions of geometric modeling: to represent elementary forms (curves, surfaces, and solids), to shape and assemble these into complex forms, and to determine geometric properties and relationships. With hundreds of illustrations, this unique book appeals to the readers visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. Upper-division and graduate students, teachers, and professionals studying, teaching or practicing geometric modeling, 3D modeling, computational geometry, computer graphics applications, animation, CAD/CAM, and related subjects will find this to be a very valuable reference.

Product Details

ISBN-13:	9780831132989
Publisher:	Industrial Press, Inc.
Publication date:	05/15/2006
Edition description:	Third Edition
Pages:	452
Product dimensions:	7.20(w) x 10.10(h) x 1.50(d)
Age Range:	18 Years

About the Author

Michael E. Mortenson, a graduate of the UCLA School of Engineering, writes and does independent research in 3D geometric modeling and computer-aided design. He is a former research scientist with a major aerospace corporation and the author of several highly successful textbooks.

Table of Contents

• Introduction. Curves.
• Hermite Curves.
• Bezier Curvers.
• B-Spline Curves.
• Surfaces.
• Bicubic Hermite Surfaces.
• Bezier Surfaces.
• B-Spline Surfaces.
• Solids.
• Complex Model Construction.
• Geometric Properties.
• Answers to Selected Exercises.
•  Index.

Editorial Reviews

The second edition of a textbook presenting a comprehensive discussion of core concepts. It integrates the three important functions of geometric modeling: representing elementary forms (curves, surfaces, and solids), shaping and assembling these into more complex forms, and determining concomitant derivative geometric elements. Written in a style relatively free of the jargon of special applications. Annotation c. by Book News, Inc., Portland, Or.

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