Curves and Surfaces in Computer Aided Geometric Design
By: by Fujio Yamaguchi
Publisher: Springer Berlin Heidelberg
Published: 1988
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 378
ISBN-13: 9783642489549; 9783642489525
Subjects: Computer graphics; Engineering mathematics; Computer science; Software engineering; Computer-aided design; Engineering design
Description: This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bézier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.
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Table of contents: title: Contents: Mathematical Description of Shape Information; title: Basic Theory of Curves and Surfaces; title: Lagrange Interpolation; title: Hermite Interpolation; title: Spline Interpolation; title: The Bernstein Approximation; title: The B-Spline Approximation; title: The Rational Polynomial Curves; title: Appendix A: Vector Expression of Simple Geometrical Relations; title: Appendix B: Proof of Formulas Relating to B-Spline Functions; title: Appendix C: Effect of Multiple Knots on B-Spline Functions; title: Bibliography; title: Subject Index.