eprintid: 9477
rev_number: 20
eprint_status: archive
userid: 1
dir: disk0/00/00/94/77
datestamp: 2009-05-28 07:36:51
lastmod: 2016-01-17 21:03:20
status_changed: 2012-08-14 15:29:32
type: preprint
metadata_visibility: show
creators_name: Petra, Stefania
creators_name: Popa, Constantin
creators_name: Schnörr, Christoph
title: Accelerating Constrained SIRTwith Applications in Tomographic Particle Image Reconstruction
ispublished: pub
subjects: ddc-510
divisions: i-708000
keywords: SIRT, constraining strategies , spectral projected gradient , simplex projections , tomographic particle image reconstruction
abstract: 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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 65F10, 65F22, 90C52
date: 2009
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00009477
portal_cluster_id: p-iwrpp
portal_order: 09477
ppn_swb: 1647871468
own_urn: urn:nbn:de:bsz:16-opus-94778
language: eng
bibsort: PETRASTEFAACCELERATI2009
full_text_status: public
series: IWR-Preprints
citation:   Petra, Stefania ; Popa, Constantin ; Schnörr, Christoph  (2009) Accelerating Constrained SIRTwith Applications in Tomographic Particle Image Reconstruction.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/9477/1/CSIRT_Petra_et_al.pdf