Regularizing the inverse of truncated Fourier operators
Workshop on Bioimaging I, Tue, 13 Nov, 2007
Speaker: Pierre Maréchal
Abstract
Truncated Fourier operators play an important role in many inverse problems
of Signal and Image science. A variational approach to the regularization
of their pseudo-inverses is considered. A particular regularization parameter,
which can be interpreted in terms of resolution level, appears to
play the essential role.
We shall present results on the behavior of the regularized solution as this
parameter tends to zero. Notably, reasonably mild conditions will be shown
to ensure strong convergence of the regularized solution to the pseudo-inverse
of the data.
Nathaël Alibaud and Pierre Maréchal, September 27, 2007
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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