Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide (Computer Science and Scientific Computing Series)

The emphasis in this beautifully illustrated text is on the concepts of Bezier and B-spline methods for curves, rational Bezier and B-spline curves, geometric continuity, spline interpolation and Coon methods. While no prior geometric training is needed as a prerequisite for this text - a background in calculus and basic linear algebra is sufficient - two chapters written by W. Boehm have been included to introduce the reader to those concepts of differential geometry that are relevant to computer aided geometric design. The volume also contains one chapter by P. Bezier: How a Simple System Was Born. This book is of interest to software developers for CAD/CAM systems, geometric modeling researchers and graphics programmers. This third edition includes several new sections and numerical examples, a treatment of the new blossoming principle, and new C programs. All C programs are available on a disk included with the book. The Problems Sections at the end of each chapter have also been extended.

System requirements: IBM and compatibles with DOS 2.0 or higher or UNIX. This book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. This 3rd edition includes several new section and numerical examples, a treatment of the new blossoming principle, and new C programs. All C programs are available on a disk included with the book. The Problems Sections at the end of each chapter have also been extended.