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Pré-Publication, Document De Travail Année : 2007

A penalization approach for tomographic reconstruction of binary axially symmetric objects

Résumé

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 an optimality system, both for the minimization problem and its penalized version. Numerical simulations are provided to demonstrate the relevance of the approach.
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Dates et versions

hal-00139494 , version 1 (31-03-2007)
hal-00139494 , version 2 (28-03-2008)

Identifiants

  • HAL Id : hal-00139494 , version 1

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Romain Abraham, Maïtine Bergounioux, Emmanuel Trélat. A penalization approach for tomographic reconstruction of binary axially symmetric objects. 2007. ⟨hal-00139494v1⟩
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