Stability Issues for Determination and Verification in Discrete Tomography

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Abstract

The talk focusses on the ill-posedness of inverse problems in discrete tomography that are motivated by demands from material sciences for the reconstruction of crystalline structures from images produced by quantitative high resolution transmission electron microscopy. In particular, we present new stability and instability results for the determination and verification of finite point sets from some of their noisy X-ray images.

Original languageEnglish
Pages (from-to)384
Number of pages1
JournalElectronic Notes in Discrete Mathematics
Volume12
DOIs
StatePublished - Mar 2003

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