Variational Bayesian Image Reconstruction with an Uncertainty Model for Measurement Localization

0462116 - ÚTIA 2017 RIV HU eng C - Konferenční příspěvek (zahraniční konf.)
Šroubek, Filip - Soukup, Jindřich - Zitová, Barbara
Variational Bayesian Image Reconstruction with an Uncertainty Model for Measurement Localization.
Proc. 2016 24th European Signal Processing Conference (EUSIPCO). Budapest: EUSIPCO, 2016, s. 723-727. ISBN 978-0-9928-6266-4.
[24th European Signal Processing Conference (EUSIPCO). Budapest (HU), 29.08.2016-02.09.2016]
Grant CEP: GA ČR GA13-29225S; GA TA ČR(CZ) TA04011392
Institucionální podpora: RVO:67985556
Klíčová slova: Variational Bayes * Image Reconstruction
Kód oboru RIV: JD - Využití počítačů, robotika a její aplikace
http://library.utia.cas.cz/separaty/2016/ZOI/sroubek-0462116.pdf

We propose a general data acquisition model with volatile random displacement of measured samples. Discrepancies between recorded and true positions of the original data is due to the nature of measured data or the acquisition device itself. A reconstruction method based on the Variational Bayesian inference is proposed, which estimates the original data from samples acquired with the acquisition model, and its relation to Jensen’s inequality is discussed. A model variant of 2D image
reconstruction is analyzed in detail. Further, we outline a relation between the proposed method and the classic deconvolution problem, and illustrate superiority of the Variational Bayesian approach in the case of small number of samples.
Trvalý link: http://hdl.handle.net/11104/0262291