Analytical reconstructions for PET and spect employing L<sup>1</sup>-denoising
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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  and a novel signal processing technique, inspired by the work of Tao and Candes  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.
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.
SponsorsThis work was partially funded by KAUST. We are also grateful to Captain V. Constantakopoulos for his generous support.