Rotation Transforms for Computer Graphics

• 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.

From the reviews: "This book is devoted to rotation transforms applied in computer graphics. ... The aim of the book is to take the reader through the important ideas and mathematical techniques associated with rotation transforms, without becoming too pedantic about mathematical terminology. ... is presented in an accessible fashion, with many examples and figures explaining the theory in an intuitive way. It is suitable for students, academics, researchers and professional practitioners who are interested in making 2D or 3D scenes and animations." (Agnieszka Lisowska, Zentralblatt MATH, Vol. 1221, 2011) "The basic mathematics that underlies rotations in 2D or 3D graphics is straightforward. Making sure that the details are right can be maddening. The author of this book successfully brings order and method to the subject. ... The book is a discussion of mathematical underpinnings. ... This is a fine volume that should be of use to anyone who actually writes graphics (or robotics) libraries, and also to those who use animation packages and want to understand what is happening under the hood." (Paul LaFollette, ACM Computing Reviews, September, 2011)