September 2011: Ankur Handa, with the close support of Richard Newcombe and Adrien Angeli, has been investigating the role that the Legendre-Fenchel Transform can play in optimisation problems in computer vision (for example in the depth map construction component of our new DTAM system). It gives a standard procedure for setting up and solving a wide range of convex optimisation problems. He has written a tutorial-style technical report on this topic which we hope will be of interest to other researchers looking into this area. See Ankur’s homepage for more information.
Applications of the Legendre-Fenchel Transform (PDF format), Ankur Handa, Richard A. Newcombe, Adrien Angeli and Andrew J. Davison, Imperial College Department of Computing Technical Report DTR11-7, 2011.