Multiscale decompositions in imaging and inverse problems
We extend the hierarchical decomposition of an image as a sum of constituents of different scales, introduced by Tadmor, Nezzar and Vese in 2004, to a general setting. We develop a theory for multiscale decompositions which, besides extending the one of Tadmor, Nezzar and Vese to arbitrary L^2 functions, is applicable to a wide range of other imaging problems, such as image registration, or strictly related ones, such as nonlinear inverse problems. This is a joint work with Klas Modin and Adrian Nachman.
2019-03-26 at 2:30 pm (subject to variability)