title: Extended and Constrained Cimmino-type  Algorithms with Applications in Tomographic Image Reconstruction 
creator: Petra, Stefania
creator: Popa, Constantin
creator: Schnoerr, Christoph
subject: 510
subject: 510 Mathematics
description: In the first part of this paper we propose an extension of  Cimmino's reflections algorithm to inconsistent least squares  problems. For proving convergence of the extended algorithm we  first make a convergence analysis of the classical method that  reveals other interesting aspects which don't appear in the  convergence analysis made in the original paper by G. Cimmino.  In the second part of the paper we introduce in both original  and extended Cimmino algorithms constraining procedures and  prove convergence of mixed algorithms in both cases to constrained  classical or least squares solutions, respectively. In the third  part of the paper we present numerical experiments on some algebraic  image reconstruction models, with particular attention to tomographic  particle image reconstruction, which illustrate the performance of  both extended and constrained algorithms.
date: 2008
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/8798/1/Cimmino_2008.pdf
identifier: DOI:10.11588/heidok.00008798
identifier: urn:nbn:de:bsz:16-opus-87980
identifier:   Petra, Stefania ; Popa, Constantin ; Schnoerr, Christoph  (2008) Extended and Constrained Cimmino-type Algorithms with Applications in Tomographic Image Reconstruction.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/8798/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng