Improved 3D Radial Phyllotaxis Trajectories for Uniform Density Distribution of Readout Directions and Sequential Binning

Leidi, M.; Delitroz, J.; Peper, E.; Jia, Y.; Barranco, J.; Ledoux, J.-B.; Romanin, L.; Bastiaansen, J. A. M.; Schneider, J.; Franceschiello, B.

doi:10.64898/2026.07.06.736720

bioRxiv · 10.64898/2026.07.06.736720

Improved 3D Radial Phyllotaxis Trajectories for Uniform Density Distribution of Readout Directions and Sequential Binning

Leidi, M.·Delitroz, J.·Peper, E.·Jia, Y.·Barranco, J.·Ledoux, J.-B.·Romanin, L.·Bastiaansen, J. A. M.·Schneider, J.·Franceschiello, B.

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Abstract

PurposeTo develop 3D radial spiral phyllotaxis trajectories that provide a uniform density distribution of readout directions and support retrospective sequential binning, thereby reducing ringing artifacts and improving image quality. MethodsUPhy trajectory redefines the polar angle to achieve uniform density distribution of readout directions. FlexiPhy further decouples the azimuthal and polar ordering of interleaves through a randomized permutation, improving robustness to sequential binning. The proposed trajectories were evaluated in vivo on 10 healthy volunteers using two gradient-echo sequences on a 3T MRI scanner. Sequential temporal reconstructions were compared with reference reconstructions using structural similarity and relative L2 error metrics. ResultsUPhy presents analytically demonstrated uniform density distribution of readout directions. Quantitative analysis shows significantly higher SSIM values and lower relative L2 errors for FlexiPhy compared with both the original phyllotaxis and UPhy trajectories after Bonferroni correction (pcorrected < 0.05). ConclusionFlexiPhy enables more reliable sequential binning reconstructions by reducing trajectory-induced ringing artifacts and temporal inconsistencies. Moreover, its randomized construction is not tied to a specific binning strategy, making it broadly compatible with retrospective binning approaches used in dynamic and motion-resolved MRI.

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Leidi, M., Delitroz, J., Peper, E., Jia, Y., Barranco, J., Ledoux, J.-B., Romanin, L., Bastiaansen, J. A. M., Schneider, J., Franceschiello, B.. 2026-07-10. Improved 3D Radial Phyllotaxis Trajectories for Uniform Density Distribution of Readout Directions and Sequential Binning. https://doi.org/10.64898/2026.07.06.736720

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