TY  - GEN
TI  - Extended and Constrained Cimmino-type  Algorithms with Applications in Tomographic Image Reconstruction 
T3  - IWR-Preprints
Y1  - 2008///
KW  - Cimmino and Cimmino Extended algorithms 
KW  -  constraining strategies 
KW  -  algebraic image reconstruction 
KW  -  tomographic particle image reconstruction
AV  - public
ID  - heidok8798
A1  - Petra, Stefania
A1  - Popa, Constantin
A1  - Schnoerr, Christoph
N2  - 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.
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/8798/
ER  -