Some proximal methods for CBCT and PET tomography

S. Anthoine; J. F. Aujol; Y. Boursier; C. Melot

doi:10.1117/12.893415

27 September 2011 Some proximal methods for CBCT and PET tomography

S. Anthoine, J. F. Aujol, Y. Boursier, C. Melot

Proceedings Volume 8138, Wavelets and Sparsity XIV; 81381E (2011) https://doi.org/10.1117/12.893415
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

Abstract

The reconstruction of the images obtained via the Cone Beam Computerized Tomography (CBCT) and Positron Emission Tomography (PET) Scanners are ill-posed inverse problems. One needs to adress carefully the problem of inversion of the mathematical operators involved. Recent advances in optimization have yielded efficient algorithms to solve very general classes of inverse problems via the minimization of non-differentiable convex functions. We show that such models are well suited to solve the CBCT and PET reconstruction problems. On the one hand, they can incorporate directly the physics of new acquisition devices, free of dark noise; on the other hand, they can take into account the specificity of the pure Poisson noise. We propose various fast numerical schemes to recover the original data and compare them to state-of-the-art algorithms on simulated data. We study more specifically how different contrasts and resolutions may be resolved as the level of noise and/or the number of projections of the acquired sinograms decrease. We conclude that the proposed algorithms compare favorably with respect to well-established methods in tomography.

Citation Download Citation

S. Anthoine, J. F. Aujol, Y. Boursier, and C. Melot "Some proximal methods for CBCT and PET tomography", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81381E (27 September 2011); https://doi.org/10.1117/12.893415

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