Applied Geometry for Computer Graphics and CAD / Edition 2

Applied Geometry for Computer Graphics and CAD / Edition 2

by Duncan Marsh
     
 

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

See more details below

Overview

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.

Read More

Product Details

ISBN-13:
9781852338015
Publisher:
Springer London
Publication date:
11/05/2004
Series:
Springer Undergraduate Mathematics Series
Edition description:
2nd ed. 2005
Pages:
350
Product dimensions:
0.76(w) x 6.14(h) x 9.21(d)

Meet the Author

Table of Contents

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >