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Curves and Surfaces in Computer Aided Geometric Design

✍ Scribed by Professor Fujio Yamaguchi (auth.)

Publisher
Springer-Verlag Berlin Heidelberg
Year
1988
Tongue
English
Leaves
388
Edition
1
Category
Library
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✦ Synopsis

This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, BΓ©zier 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.

✦ Table of Contents

Front Matter....Pages I-XI
Mathematical Description of Shape Information....Pages 1-10
Basic Theory of Curves and Surfaces....Pages 11-63
Lagrange Interpolation....Pages 64-71
Hermite Interpolation....Pages 72-134
Spline Interpolation....Pages 135-168
The Bernstein Approximation....Pages 169-232
The B -Spline Approximation....Pages 233-336
The Rational Polynomial Curves....Pages 337-350
Back Matter....Pages 351-378

✦ Subjects

Software Engineering/Programming and Operating Systems;Arithmetic and Logic Structures;Computer Graphics;Computer-Aided Engineering (CAD, CAE) and Design;Appl.Mathematics/Computational Methods of Engineering;Engineering Design

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