Geometric Algebra for Computer Graphics

✍ Scribed by John Vince

• Publisher: Springer
• Year: 2008
• Tongue: English
• Leaves: 268
• Edition: 1
• Category: Library

✦ Synopsis

Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.

✦ Table of Contents

Front Matter
Pages i-xvi

Introduction
Pages 1-3

Elementary Algebra
Pages 5-10

Complex Algebra
Pages 11-22

Vector Algebra
Pages 23-37

Quaternion Algebra
Pages 39-48

Geometric Conventions
Pages 49-54

Geometric Algebra
Pages 55-77

The Geometric Product
Pages 79-124

Reflections and Rotations
Pages 125-153

Geometric Algebra and Geometry
Pages 155-197

Conformal Geometry
Pages 199-230

Applications of Geometric Algebra
Pages 231-240

Programming Tools for Geometric Algebra
Pages 241-242

Conclusion
Pages 243-243

Back Matter
Pages 245-252

✦ Subjects

3D; Algebra; Clifford Algebra; Geometric Algebra; Calculus; Computer Graphics; Geometry; Reflection