Rotation Transforms for Computer Graphics

• Main Author: Vince, John (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Subjects: Computer science.; Computer graphics.; Mathematics.; Computer Science.; Computer Graphics.; Mathematics, general.

Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wi...

Table of Contents:

• Introduction
• Complex Numbers
• Vectors
• Matrices.-Quaternions
• Multivectors
• Rotation Transforms in the Plane.-Frames of Reference in the Plane
• Rotation Transforms in Space
• Frames of Reference in Space
• Quaternion Transforms in Space
• Bivector Rotors
• Conclusion
• Appendix A: Composite Point Rotation Sequences
• Appendix B: Composite Frame Rotation Sequences
• Appendix C: The Four n-Square Algebras
• Index.