Computer Graphics and Geometric Modeling Using Beta-splines - Computer Science Workbench - Brian A. Barsky - Bücher - Springer-Verlag Berlin and Heidelberg Gm - 9783642722943 - 23. August 2014
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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

Medien Bücher     Taschenbuch   (Buch mit Softcover und geklebtem Rücken)
Erscheinungsdatum 23. August 2014
ISBN13 9783642722943
Verlag Springer-Verlag Berlin and Heidelberg Gm
Seitenanzahl 157
Maße 170 × 244 × 9 mm   ·   276 g
Sprache Englisch  

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