Analytical reconstructions for PET and spect employing L1-denoising

Handle URI:
http://hdl.handle.net/10754/597569
Title:
Analytical reconstructions for PET and spect employing L<sup>1</sup>-denoising
Authors:
Barbano, PE.; Fokas, A.S.; Kastis, G.A.
Abstract:
We propose an efficient, deterministic algorithm designed to reconstruct images from real Radon-Transform and Attenuated Radon-Transform data. Its input consists in a small family of recorded signals, each sampling the same composite photon or positron emission scene over a non-Gaussian, noisy channel. The reconstruction is performed by combining a novel numerical implementation of an analytical inversion formula [1] and a novel signal processing technique, inspired by the work of Tao and Candes [2] on code reconstruction. Our approach is proven to be optimal under a variety of realistic assumptions. We also indicate several medical imaging applications for which the new technology achieves high fidelity, even when dealing with real data subject to substantial non-Gaussian distortions. © 2009 IEEE.
Citation:
Barbano P, Fokas AS, Kastis GA (2009) Analytical reconstructions for PET and spect employing L1-denoising. 2009 16th International Conference on Digital Signal Processing. Available: http://dx.doi.org/10.1109/icdsp.2009.5201187.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2009 16th International Conference on Digital Signal Processing
Issue Date:
Jul-2009
DOI:
10.1109/icdsp.2009.5201187
Type:
Conference Paper
Sponsors:
This work was partially funded by KAUST. We are also grateful to Captain V. Constantakopoulos for his generous support.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBarbano, PE.en
dc.contributor.authorFokas, A.S.en
dc.contributor.authorKastis, G.A.en
dc.date.accessioned2016-02-25T12:42:14Zen
dc.date.available2016-02-25T12:42:14Zen
dc.date.issued2009-07en
dc.identifier.citationBarbano P, Fokas AS, Kastis GA (2009) Analytical reconstructions for PET and spect employing L1-denoising. 2009 16th International Conference on Digital Signal Processing. Available: http://dx.doi.org/10.1109/icdsp.2009.5201187.en
dc.identifier.doi10.1109/icdsp.2009.5201187en
dc.identifier.urihttp://hdl.handle.net/10754/597569en
dc.description.abstractWe propose an efficient, deterministic algorithm designed to reconstruct images from real Radon-Transform and Attenuated Radon-Transform data. Its input consists in a small family of recorded signals, each sampling the same composite photon or positron emission scene over a non-Gaussian, noisy channel. The reconstruction is performed by combining a novel numerical implementation of an analytical inversion formula [1] and a novel signal processing technique, inspired by the work of Tao and Candes [2] on code reconstruction. Our approach is proven to be optimal under a variety of realistic assumptions. We also indicate several medical imaging applications for which the new technology achieves high fidelity, even when dealing with real data subject to substantial non-Gaussian distortions. © 2009 IEEE.en
dc.description.sponsorshipThis work was partially funded by KAUST. We are also grateful to Captain V. Constantakopoulos for his generous support.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectImage reconstructionen
dc.subjectNon-linear processingen
dc.subjectRadon transformen
dc.titleAnalytical reconstructions for PET and spect employing L<sup>1</sup>-denoisingen
dc.typeConference Paperen
dc.identifier.journal2009 16th International Conference on Digital Signal Processingen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
dc.contributor.institutionThorax Foundation, Athens, Greeceen
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