On blind imaging, NMF and PET

Michel Defrise, Christine De Mol

Research output: Chapter in Book/Report/Conference proceedingConference paper


After reviewing the multiplicative iterative algorithms EMML and
ISRA which allow to naturally enforce, at each iteration, a positivity constraint on
the solution of linear inverse problems, we discuss their extension to blind imaging
with positivity constraints and to the related problem of Nonnegative Matrix
Factorization (NMF). We then establish a connection between this framework and
two problems of interest in medical imaging, namely dynamic Positron Emission
Tomography (PET) and the joint estimation of activity and attenuation in
time-of-flight PET.
Original languageEnglish
Title of host publicationThe Radon transform: the first 100 years and beyond
EditorsRamlau Rony, Scherzer Oscar
Place of PublicationBerlin
PublisherWalter de Gruyter GmbH & Co. KG
Number of pages14
ISBN (Electronic)978-3-11-055941-5
Publication statusPublished - 2019
Event100 years of the Radon transform - Linz, Austria
Duration: 27 Mar 201731 Mar 2017


Conference100 years of the Radon transform


  • blind imaging
  • nonnegative matrix factorization
  • dynamic positron emission tomography


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