Identifiant pérenne de la notice : 20917059X
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Note publique d'information : Focusing on the manipulation and representation of geometrical objects, this book
explores the application of geometry to computer graphics and computer-aided design
(CAD). An introduction to transformations of the plane and three-dimensional space
describes how objects can be constructed from geometric primitives and manipulated.
This leads into a treatment of projections and the method of rendering objects on
a computer screen by application of the complete viewing operation. Subsequently,
the emphasis is on the two principal curve and surface representations, namely, Bézier
and B-spline (including NURBS). As in the first edition, applications of the geometric
theory are exemplified throughout the book, but new features in this revised and updated
edition include: the application of quaternions to computer graphics animation and
orientation; discussions of the main geometric CAD surface operations and constructions:
extruded, rotated and swept surfaces; offset surfaces; thickening and shelling; and
skin and loft surfaces; an introduction to rendering methods in computer graphics
and CAD: colour, illumination models, shading algorithms, silhouettes and shadows.
Over 300 exercises are included, some new to this edition, and many of which encourage
the reader to implement the techniques and algorithms discussed through the use of
a computer package with graphing and computer algebra capabilities. A dedicated website
also offers further resources and links to other useful websites. Designed for students
of computer science and engineering as well as of mathematics, the book provides a
foundation in the extensive applications of geometry in real world situations.
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