A Penalization Approach for Tomographic Reconstruction of Binary Axially Symmetric Objects

  • R. AbrahamEmail author
  • M. Bergounioux
  • E. Trélat


We propose a variational method for tomographic reconstruction of blurred and noised binary images based on a penalization process of a minimization problem settled in the space of bounded variation functions. We prove existence and/or uniqueness results and derive a penalized optimality system. Numerical simulations are provided to demonstrate the relevance of the approach.


Tomography Optimization Penalization 


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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.UFR Sciences, Math., Labo. MAPMO, UMR 6628Université d’OrléansOrléans cedex 2France

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