Geometric Algebra for Computer Graphics

• Main Author: Vince, John (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2008.
• Subjects: Computer science.; Computer science > Mathematics.; Computer graphics.; Algebraic geometry.; Geometry.; Computer Science.; Computer Graphics.; Algebraic Geometry.; Math Applications in Computer Science.

Since its invention, geometric algebra has been applied to various branches of physics such as cosmology and electrodynamics, and is now being embraced by the computer graphics community where it is providing new ways of solving geometric problems. It took over two thousand years to discover this al...

Table of Contents:

• Elementary Algebra
• Complex Algebra
• Vector Algebra
• Quaternion Algebra
• Geometric Conventions
• Geometric Algebra
• The Geometric Product
• Reflections and Rotations
• Geometric Algebra and Geometry
• Conformal Geometry
• Applications of Geometric Algebra
• Programming Tools for Geometric Algebra
• Conclusion.