Analytical reconstructions for PET and spect employing L$^{1}$-denoising

PE. Barbano, A.S. Fokas, G.A. Kastis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

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.
Original languageEnglish (US)
Title of host publication2009 16th International Conference on Digital Signal Processing
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781424432974
DOIs
StatePublished - Jul 2009
Externally publishedYes

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