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5-7 July 2023
Alpen-Adria-Universität Klagenfurt
Europe/Vienna timezone

Deautoconvolution in the two-dimensional case

5 Jul 2023, 10:20
25m
HS 3 (University of Klagenfurt)

HS 3

University of Klagenfurt

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

Presentation Materials

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