02343cam a22003377i 4500 3281 3281 16948065 OSt 20250925150042.0 110906s2011 enka b 001 0 eng 2011283893 9780857291530 (alk. paper) 9780857291547 (e-ISBN) DLC eng rda KyUL pcc T 385 .V56 2011 T 385 .V56 2011 Vince, John (John A.), author. Rotation Transforms for Computer Graphics / John Vince. London : Springer, [2011] xvi, 232 pages : illustrations ; 25 cm text txt rdacontent unmediated n rdamedia volume nc rdacarrier Includes bibliographical references (page 229) and index. 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. "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"--P. [4] of cover. Computer graphics. Computer Science School of Pure and Applied Sciences 7 cbc origres 4 ncip 20 y-gencatlg lcc LLB 0 0 lcc 0 0 NFIC KyUCL KyUCL GEN 2017-02-08 Purchase 7608.00 T 385 .V56 2011 KYU/2017/5635 2017-02-08 2017-02-08 LLB 0 0 lcc 0 0 NFIC KyUCL KyUCL GEN 2017-02-08 Purchase 7608.00 T 385 .V56 2011 KYU/2017/5636 2017-11-22 2017-02-08 LLB 0 0 lcc 0 0 KyUCL KyUCL GEN 2021-05-11 Purchase 6897.00 1 T 385 .V56 2011 KYU/2021/8590 2026-03-31 2022-04-14 1 2021-05-11 LLB