TY - JOUR AU - Aguiar, P. AU - Rafecas, M. AU - Ortuño, J. E. AU - Kontaxakis, G. AU - Santos, A. AU - Pavia, J. AU - Rosetti, M. PY - 2010 DA - 2010// TI - Geometrical and Monte Carlo projectors in 3D PET reconstruction T2 - Med. Phys. JO - Medical Physics SP - 5691 EP - 5702 VL - 37 IS - 11 PB - Amer Assoc Physicists Medicine Amer Inst Physics KW - 3D PET KW - iterative reconstruction KW - list-mode reconstruction KW - ray-tracing techniques KW - Monte Carlo simulation KW - system response matrix AB - 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. SN - 0094-2405 UR - https://doi.org/10.1118/1.3501884 DO - 10.1118/1.3501884 LA - English N1 - ISI:000283747600015 ID - Aguiar_etal2010 ER -