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The Radon Transform

The First 100 Years and Beyond

Ed. by Ramlau, Ronny / Scherzer, Otmar

Series:Radon Series on Computational and Applied Mathematics 22

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Publication Date:
June 2019
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2. On blind imaging, NMF and PET

De Mol, Christine / Defrise, Michel


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.

Citation Information

Christine De Mol, Michel Defrise (2019). 2. On blind imaging, NMF and PET. In Ronny Ramlau, Otmar Scherzer (Eds.), The Radon Transform: The First 100 Years and Beyond (pp. 17–28). Berlin, Boston: De Gruyter. https://doi.org/10.1515/9783110560855-002

Book DOI: https://doi.org/10.1515/9783110560855

Online ISBN: 9783110560855

© 2019 Walter de Gruyter GmbH, Berlin/Munich/BostonGet Permission

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