Computer Graphics and Geometric Modeling Using Beta-splines - Computer Science Workbench - Brian A. Barsky - Livres - Springer-Verlag Berlin and Heidelberg Gm - 9783642722943 - 23 août 2014
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Brian A. Barsky
Computer Graphics and Geometric Modeling Using Beta-splines - Computer Science Workbench Softcover Reprint of the Original 1st Ed. 1988 edition

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This book explains the Beta-spline representation for curves and surfaces. This topic is important for the modeling of objects delineated by free-form curved surfaces. Such models are needed in the design and manufacture of three-dimensional parts, as well as in the generation of synthetic computer images. The Beta-spline technique follows from the earlier techniques of Bézier and B-spline curves and surfaces, and forms the latest method in this field. The utility of this technique is the capability of representing complex curved surface objects using natural input specifications. The Beta-spline technique combines powerful and general mathematics with an intuitive specification method. Mathematical underpinnings are sufficiently flexible to allow the representation of a wide class of complex shapes. At the same time, description of these shapes is achieved through the use of intuitive and meaningful specification parameters. In addition to a set of points in three-space, called control vertices, shape parameters are introduced which are parameters whose values indicate the shape of the object in terms of "sharpness" or "flatness".

166 pages, 25 black & white illustrations, 31 colour illustrations, biography

Médias Livres     Paperback Book   (Livre avec couverture souple et dos collé)
Validé 23 août 2014
ISBN13 9783642722943
Éditeurs Springer-Verlag Berlin and Heidelberg Gm
Pages 157
Dimensions 170 × 244 × 9 mm   ·   276 g
Langue et grammaire Anglais  

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