Workshop on Bioimaging II / PDEs, Thu, 22 Nov, 2007
Speaker: Peter Elbau
Abstract
A very successful approach to enhance distorted images is to let them evolve some time under the flow of an appropriately chosen evolutionary equation. If we are concerned to preserve the structures in the image, these equations usually contain some sort of backward diffusion to keep sharp edges which makes it difficult to get a rigorous solution theory for those differential equations.
We try to overcome this problem by writing the equations in the spirit of semi-group theory as an iterative variational problem which could only be achieved with non-convex functionals. Taking the relaxations of these functionals, we will introduce a new solution concept for such evolutionary equations.
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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