Speaker
Dr
Yu Deng
(TU Chemnitz)
Description
We will have a discussion on the reconstruction of a real function of two real variables over the unit square from observations of its autoconvolution on $[0,2]^2\subset \mathbb{R}^2$ (full data case) or on $[0,1]^2$ (limited data case). In an $L^2$-setting, twofoldness and uniqueness assertions can be obtained for the deautoconvolution problem in 2D. Moreover, by means of an example, we will illustrate the ill-posedness and also the stable approximate solutions to the two-dimensional deautoconvolution problem obtained by Tikhonov-type regularization with different penalties.
Primary author
Dr
Yu Deng
(TU Chemnitz)
Co-authors
Prof.
Bernd Hofmann
Prof.
Frank Werner
