Applied Geometry for Computer Graphics and CAD

TRAMA

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.

SOMMARIO

Transformations of the Plane.- Homogeneous Coordinates and Transformations of the Plane.- Homogeneous Coordinates and Transformations of Space.- Projections and the Viewing Pipeline.- Curves.- Bézier Curves I.- Bézier Curves II.- B-splines.- Surfaces.- Curve and Surface Curvatures.- Rendering.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9781852338015
• Collana: Springer Undergraduate Mathematics Series
• Dimensioni: 235 x 178 mm
• Formato: Brossura
• Illustration Notes: XV, 350 p.
• Pagine Arabe: 350
• Pagine Romane: xv