3D Computer Graphics A mathematical approach with OpenGL.pdf

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3-D Computer Graphics

A Mathematical Introduction with OpenGL

This book is an introduction to 3-D computer graphics with particular emphasis

on fundamentals and the mathematics underlying computer graphics. It includes

descriptions of how to use the cross-platform OpenGL programming environment.

It also includes source code for a ray tracing software package. (Accompanying

software is available freely from the book’s Web site.)

Topics include a thorough treatment of transformations and viewing, lighting

and shading models, interpolation and averaging, Bezier curves and B-splines, ray

tracing and radiosity, and intersection testing withrays. Additional topics, covered

in less depth, include texture mapping and color theory. The book also covers some

aspects of animation, including quaternions, orientation, and inverse kinematics.

Mathematical background on vectors and matrices is reviewed in an appendix.

Thisbookisaimedattheadvancedundergraduatelevelorintroductorygraduate

level and can also be used for self-study. Prerequisites include basic knowledge of

calculus and vectors. The OpenGL programming portions require knowledge of

programming in C or C

Samuel R. Buss is Professor of Mathematics and Computer Science at the Univer-

sity of California, San Diego. Withbothacademic and industrial expertise, Buss

has more than 60 publications in the ﬁelds of computer science and mathematical

logic. He is the editor of several journals and the author of a book on bounded

arithmetic. Buss has years of experience in programming and game development

and has acted as consultant for SAIC and Angel Studios.

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. The more important features of OpenGL are covered

in the book, but it is intended to be used in conjunction with another OpenGL

programming book.

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