3D Computer Graphics: A Mathematical Introduction with OpenGL

by Samuel R. Buss

Overview

This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.

Product Details

ISBN-13:	9781139931038
Publisher:	Cambridge University Press
Publication date:	05/19/2003
Sold by:	Barnes & Noble
Format:	eBook
File size:	35 MB
Note:	This product may take a few minutes to download.

Table of Contents

1. Introduction; 2. Transformations and viewing; 3. Lighting, illumination and shading; 4. Averaging and interpolation; 5. Texture mapping; 6. Color; 7. Bezier curves; 8. B-Splines; 9. Ray tracing; 10. Intersection testing; 11. Radiosity; 12. Animation and kinematics; Appendix A: mathematics background; Appendix B: RayTracing software package.

Editorial Reviews

"I have a favorable impression of this book for providing a mathematical approach to CG while introducing the reader to OpenGL. Additionally, it is a good introductory resource for ray tracing, radiosity, and animation and kinematics. I would highly recommend this book to someone who teaches CG and would like to modernize his or her course."
SIAM News

"There are a few experts who would find nothing new in this book, but most of the rest of us would benefit from it. Almost any time that a programmer chooses to ignore one of the aphorisms they need to justify their choice which makes it a good basis for communicating why a piece of source code either needs more comments or a different approach. Buy a copy, keep it in your pocket to browse through while waiting in line for a meal, a bus etc. when you know it all, pass your copy on."
CVu/ACCU Reviews

From the Publisher