Focussing on the manipulation and representation of geometrical objects, 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 also offers further resources and links to other useful websites.

1.transformations of the plane 2.homogence coordinates and transformations 3.homogeneous coordinates and transformations of space 4.projections and the viewing pipeline 5.curves 6.bezier curves I 7.bezier curves II 8.B-splines 9.surfaces 10.curve and surface curvatures 11.rendering

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