Applied Geometry for Computer Graphics and CAD (Springer Undergraduate Mathematics Series) (Paperback)

~ (Author) "The two main areas of application which are considered in this textbook are computer graphics and computer-aided design (CAD)..." (more)
Key Phrases: viewplane window, device coordinate transformation, unit quarter circle, B-spline of Example, Apply the de Boor, Lambert's Law (more...)

Editorial Reviews

Review

From the reviews:

a nice introduction to the foundations of applications of geometry to computer graphics and computer-aided design….A useful textbook.

Zentralblatt MATH

Mathematics students often ask where they can find a nice introduction to computer graphics and computer-aided design; professors have also been known to pose the same question. They will all find an answer here: Marsh’s book should guide them effectively and painlessly towards the applications of mathematics and geometry in graphics and CAD.

Computer-Aided Design 32 (2000)

From the reviews of the second edition:

"This is a mathematics textbook on the basics of the geometry involved in computer graphics and computer-aided design, written at an undergraduate level suitable for students of mathematics, computer science, and engineering. … All of the book’s topics are presented in a clean and concise way, with nice illustrations and attention to both geometric ideas and practical issues of computing. … This book would be useful for instructors who want a specific reference … ." (Adam Coffman, Mathematical Reviews, 2005h)

"Images generated by a computer are ubiquitous, they are used in science, in engineering, and by the entertainment business. This textbook is an introduction to the mathematics behind these images. … This exposition is intended for a broad audience with basic mathematical knowledge (vectors, matrices, calculus)." (P. Schmitt, Monatshefte für Mathematik, Vol. 151 (4), 2007)

Product Description

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.

Product Details

• Paperback: 352 pages
• Publisher: Springer; 2nd edition (November 5, 2004)
• Language: English
• ISBN-10: 1852338016
• ISBN-13: 978-1852338015
• Product Dimensions: 9.2 x 6.9 x 0.8 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon.com Sales Rank: #570,321 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

5 of 5 people found the following review helpful:

4.0 out of 5 stars Good computer graphics text, November 3, 2006

By	A. T. Jones (Placitas, NM) - See all my reviews (REAL NAME)

This text has a novel approach to entry level computer graphics using homogeneous coordinates entirely. I struggled a bit with the use of these representations in perspective transformations. However once I got it I found the derivations and formulas to be easy to get and easy to use. The book has an extensive set of exercises with complete answers. I deducted one star because the theoretical aspects of homogeneous transformations could use expansion and simplification.