%0 Journal Article %T Geometrical and Monte Carlo projectors in 3D PET reconstruction %A Aguiar, P. %A Rafecas, M. %A Ortuño, J. E. %A Kontaxakis, G. %A Santos, A. %A Pavia, J. %A Rosetti, M. %J Medical Physics %D 2010 %V 37 %N 11 %I Amer Assoc Physicists Medicine Amer Inst Physics %@ 0094-2405 %G English %F Aguiar_etal2010 %O ISI:000283747600015 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=338), last updated on Tue, 13 Oct 2020 12:45:34 +0000 %X Purpose: In the present work, the authors compare geometrical and Monte Carlo projectors in detail. The geometrical projectors considered were the conventional geometrical Siddon ray-tracer (S-RT) and the orthogonal distance-based ray-tracer (OD-RT), based on computing the orthogonal distance from the center of image voxel to the line-of-response. A comparison of these geometrical projectors was performed using different point spread function (PSF) models. The Monte Carlo-based method under consideration involves an extensive model of the system response matrix based on Monte Carlo simulations and is computed off-line and stored on disk. Methods: Comparisons were performed using simulated and experimental data of the commercial small animal PET scanner rPET. Results: The results demonstrate that the orthogonal distance-based ray-tracer and Siddon ray-tracer using PSF image-space convolutions yield better images in terms of contrast and spatial resolution than those obtained after using the conventional method and the multiray-based S-RT. Furthermore, the Monte Carlo-based method yields slight improvements in terms of contrast and spatial resolution with respect to these geometrical projectors. Conclusions: The orthogonal distance-based ray-tracer and Siddon ray-tracer using PSF image-space convolutions represent satisfactory alternatives to factorizing the system matrix or to the conventional on-the-fly ray-tracing methods for list-mode reconstruction, where an extensive modeling based on Monte Carlo simulations is unfeasible. %K 3D PET %K iterative reconstruction %K list-mode reconstruction %K ray-tracing techniques %K Monte Carlo simulation %K system response matrix %R 10.1118/1.3501884 %U https://doi.org/10.1118/1.3501884 %P 5691-5702