Applied Geometry for Computer Graphics and CAD

Duncan Marsh - Collection Springer Undergraduate Mathematics Series (SUMS)

350 pages, parution le 30/06/2004 (2^eme édition)

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Résumé

Focussing 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, Bezier 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.

The Springer Undergraduate Mathematics Series (SUMS) is designed for undergraduates in the mathematical sciences. From core foundational material to final year topics, SUMS books take a fresh and modern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully worked solutions.

Sommaire

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
Solutions

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Duncan Marsh
Collection	Springer Undergraduate Mathematics Series (SUMS)
Parution	30/06/2004
Édition	2^eme édition
Nb. de pages	350
Format	17,5 x 23,5
Couverture	Broché
Poids	602g
Intérieur	Noir et Blanc
EAN13	9781852338015
ISBN13	978-1-85233-801-5