Multi-resolution inversion algorithm for the attenuated radon transform

Paolo Emilio Barbano, Athanasios S. Fokas

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


We present a FAST implementation of the Inverse Attenuated Radon Transform which incorporates accurate collimator response, as well as artifact rejection due to statistical noise and data corruption. This new reconstruction procedure is performed by combining a memory-efficient implementation of the analytical inversion formula (AIF [1], [2]) with a wavelet-based version of a recently discovered regularization technique [3]. The paper introduces all the main aspects of the new AIF, as well numerical experiments on real and simulated data. Those display a substantial improvement in reconstruction quality when compared to linear or iterative algorithms. © 2011 IEEE.
Original languageEnglish (US)
Title of host publication2011 IEEE International Workshop on Machine Learning for Signal Processing
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781457716218
StatePublished - Sep 2011
Externally publishedYes


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