eprintid: 2410 rev_number: 10 eprint_status: archive userid: 6 dir: disk0/00/00/24/10 datestamp: 2014-12-11 09:38:48 lastmod: 2014-12-16 14:35:43 status_changed: 2014-12-11 09:38:48 type: book_section metadata_visibility: show creators_name: Plumbley, Mark D. creators_name: Bevilacqua, Marco creators_id: creators_id: marco.bevilacqua@imtlucca.it title: Sparse reconstruction for compressed sensing using Stagewise Polytope Faces Pursuit ispublished: pub subjects: QA75 divisions: CSA full_text_status: none pres_type: paper keywords: Basis Pursuit (BP); Compressed Sensing; Sparse reconstruction; greedy algorithms; polytopes note: 16th International Conference on Digital Signal Processing, Santorini, Greece, 5-7 July 2009 abstract: Compressed sensing, also known as compressive sampling, is an approach to the measurement of signals which have a sparse representation, that can reduce the number of measurements that are needed to reconstruct the signal. The signal reconstruction part requires efficient methods to perform sparse reconstruction, such as those based on linear programming. In this paper we present a method for sparse reconstruction which is an extension of our earlier polytope faces pursuit algorithm, based on the polytope geometry of the dual linear program. The new algorithm adds several basis vectors at each stage, in a similar way to the recent stagewise orthogonal matching pursuit (StOMP) algorithm. We demonstrate the application of the algorithm to some standard compressed sensing problems. date: 2009-07 date_type: published publisher: IEEE pagerange: 1-8 event_title: 16th International Conference on Digital Signal Processing event_location: Santorini, Greece event_dates: 5-7 July 2009 event_type: conference id_number: 10.1109/ICDSP.2009.5201170 refereed: TRUE isbn: 978-1-4244-3298-1 book_title: Proceedings of the 16th International Conference on Digital Signal Processing (DSP) official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5201170&isnumber=5201043 projects: EPSRC Leadership Fellowship EP/G007144/1 projects: EU FET-Open project FP7-ICT-225913 “SMALL" citation: Plumbley, Mark D. and Bevilacqua, Marco Sparse reconstruction for compressed sensing using Stagewise Polytope Faces Pursuit. In: Proceedings of the 16th International Conference on Digital Signal Processing (DSP). IEEE, pp. 1-8. ISBN 978-1-4244-3298-1 (2009)