00000cmm a22000004i 4500 UP-99796217611154812 Buklod 20140307082644.0 m go j cr |n |||auu|a 110103s2011 xxk u | eng d 9780857291547(eBook) (iLib)UPD-00214604690 DLC DML eng DMLUC T385 V56 2011eb Vince, John. author. Rotation Transforms for Computer Graphics [electronic resource] John Vince, Author. London Springer London 2011. 1 online resource (xvi, 258 p.) 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. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. 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 wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. 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. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Computer graphics Mathematics. Electronic books. SpringerLink (Online service). Springer eBooks. iPrinted edition 9780857291530. Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-0-85729-154-7 Computer Science (Springer-11645) UPD DMLR Electronic Resource