Applied Geometry for Computer Graphics and CAD

This book explores the application of geometry to computer graphics and computer-aided design (CAD). 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, 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 offers further resources and links to other useful websites.