William Rowan Hamilton is more numerically stable than combining many matrix transformations. In control and modelling applications, quaternions do not have a computational singularity (undefined division by zero) that can occur for quarter-turn rotations (90 degrees) that are achievable by many Air, Sea and Space vehicles. In pure mathematics, quaternions show up significantly as one of the four finite-dimensional normed division algebras over the real numbers, with applications throughout algebra and geometry. It is believed by some modern mathematicians that Hamilton's work on quaternions was satirized by Charles Lutwidge Dodgson in Alice in Wonderland. In particular, the Mad Hatter's tea party was meant
Neil Dodgson he worked on image resampling supervised by Neil Wiseman and graduating with a PhD in 1992. Dodgson worked for many years on stereoscopic 3D displays, conducting research principally into autostereoscopic methods. He has contributed to several surveys of the field and has been on the committee of the annual Stereoscopic Displays and Applications conference since 2000, co-chairing the conference four times. With Malcolm Sabin, Dodgson has worked on subdivision surfaces since 2000. Dodgson's team produced the NURBS-compatible subdivision method in 2009. Dodgson has supervised almost twenty research students for PhDs. Dodgson also takes an interest in abstract art. Neil Dodgson