Geometric Modeling, 3rd Edition

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.

Preface
Acknowledgments

Chapter 1 : Introduction
Chapter 2 : Curves
Chapter 3 : Hermite Curves
Chapter 4 : Bézier Curves
Chapter 5 : B-Spline Curves
Chapter 6 : Surfaces
Chapter 7 : Bicubic Hermite Surfaces
Chapter 8 : Bézier Surfaces
Chapter 9 : B-Spline Surfaces
Chapter 10 : Solids
Chapter 11 : Complex Model Construction
Chapter 12 : Geometric Properties

Answers to Selected Exercises
Index

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