title: Accelerating Constrained SIRTwith Applications in Tomographic Particle Image Reconstruction
creator: Petra, Stefania
creator: Popa, Constantin
creator: Schnörr, Christoph
subject: ddc-510
subject: 510 Mathematics
description: We investigate a constrained version of simultaneous iterative reconstruction techniques(SIRT) from the general viewpoint of projected gradient methods. This connection enable us to assess the computational merit of this algorithm class. We borrow a leaf from numerical optimization to cope with the slow convergence of projected gradient methods and propose an acceleration procedure based on the spectral gradient choice of steplength as in [2] and a nonmonotone strategy [17,4]. We compare these schemes and present numerical experiments on some algebraic image reconstruction models with sparsity constraints, with particular attention to tomographic particle image reconstruction. The performance of both constrained SIRT and nonmonotone spectral projected gradient approach is illustrated for several constraining strategies.
date: 2009
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/9477/1/CSIRT_Petra_et_al.pdf
identifier: DOI:10.11588/heidok.00009477
identifier: urn:nbn:de:bsz:16-opus-94778
identifier:   Petra, Stefania ; Popa, Constantin ; Schnörr, Christoph  (2009) Accelerating Constrained SIRTwith Applications in Tomographic Particle Image Reconstruction.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/9477/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng