The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa. Introduction to all the mathematical techniques employed in the book. Clear and concise explanations of 2D and 3D rotation transforms. Large number of illustrations to clarify rotational movements. INDICE: 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.
- ISBN: 978-0-85729-153-0
- Editorial: Springer London
- Encuadernacion: Rústica
- Páginas: 258
- Fecha Publicación: 11/01/2011
- Nº Volúmenes: 1
- Idioma: Inglés