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Curves and Surfaces in Computer Aided Geometric Design

Author: Fujio Yamaguchi
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1988.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fujio Yamaguchi
ISBN: 9783642489525 3642489524 9783540174493 3540174494
OCLC Number: 851825555
Description: 1 online resource (xi, 378 pages 244 illustrations)
Contents: Mathematical Description of Shape Information --
Basic Theory of Curves and Surfaces --
Lagrange Interpolation --
Hermite Interpolation --
Spline Interpolation --
The Bernstein Approximation --
The B-Spline Approximation --
The Rational Polynomial Curves --
Appendix A: Vector Expression of Simple Geometrical Relations --
Appendix B: Proof of Formulas Relating to B-Spline Functions --
Appendix C: Effect of Multiple Knots on B-Spline Functions --
Bibliography --
Subject Index.
Responsibility: by Fujio Yamaguchi.

Abstract:

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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