Béziers and B-Spline Techniques

H. Prautzch, W. Boehm, M. Paluszny

304 pages, parution le 04/09/2002

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Résumé

This book provides a solid and uniform derivation of the various properties Bézier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design with the intension to give a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.

Contents

I Curves

1 Geometric fundamentals
2 Bézier representation
3 Bézier techniques
4 Interpolation and approximation
5 B-spline representation
6 B-spline techniques
7 Smooth curves
8 Uniform subdivision

II Surfaces

9 Tensor product surfaces
10 Bézier representation of triangular patches
11 Bézier techniques for triangular patches
12 Interpolation
13 Constructing smooth surfaces
14 G^k -constructions
15 Stationary subdivision for regular nets
16 Stationary subdivision for arbitrary nets

III Multivariate Splines

17 Box splines
18 Simplex splines
19 Multivariate splines

L'auteur - H. Prautzch

Prautzsch, H., University of Karlsruhe, Germany;

L'auteur - W. Boehm

Boehm, W., Technische Universität Braunschweig, Germany;

L'auteur - M. Paluszny

Paluszny, M., Universidad Central de Venezuela, Carracas, Venezuela

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	H. Prautzch, W. Boehm, M. Paluszny
Parution	04/09/2002
Nb. de pages	304
Format	16 x 24
Couverture	Relié
Poids	595g
Intérieur	Noir et Blanc
EAN13	9783540437611