Analytical reconstructions for pet and spect employing L1-denoising

  • Authors:
  • P. E. Barbano;A. S. Fokas;G. A. Kastis

  • Affiliations:
  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK;Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK;Thorax Foundation, Athens, Greece

  • Venue:
  • DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

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 pboton or positron emission scene over a non-Gaussian, noisy cbannel. The reconstruction is performed by combining a novel numerical implementation of an analytical inversion formula [1] and a novel signal processing tecbnique, inspired by the work of Tao and Candes [2] on code reconstruction. Our approacb 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.