Mathematics Can Make You Fly?

JOINT LONDON MATHEMATICAL SOCIETY/ GRESHAM COLLEGE ANNUAL LECTURE

Well, not quite. But it can make you seem to be flying, virtually. Some of the mathematical principles that can be used for creating such an effect will be discussed, with a focus on partial differential equations used for such a virtual image manipulation or restoration task. After lifting the mystery on the flying mathematician, we will see that such principles can be used beyond special effects, in the reconstruction of crucial information in satellite images of our earth, restoration of MR images in molecular imaging to the renovation of digital photographs and medieval artwork.