Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#265110] of Guillermo Sapiro

Papers Published

  1. Cetingul, HE; Ceting├╝l, HE; Nadar, M; Thompson, P; Sapiro, G; Lenglet, C, Simultaneous ODF estimation and tractography in HARDI., Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, vol. 2012 (2012), pp. 86-89, ISSN 1557-170X [23365838], [doi]
    (last updated on 2017/12/12)

    We consider the problem of tracking white matter fibers in high angular resolution diffusion imaging (HARDI) data while simultaneously estimating the local fiber orientation profile. Prior work showed that an unscented Kalman filter (UKF) can be used for this problem, yet existing algorithms employ parametric mixture models to represent water diffusion and to define the state space. To address this restrictive model dependency, we propose to extend the UKF to HARDI data modeled by orientation distribution functions (ODFs), a more generic diffusion model. We consider the spherical harmonic representation of the HARDI signal as the state, enforce nonnegativity of the ODFs, and perform tractography using the directions at which the ODFs attain their peaks. In simulations, our method outperforms filtered two-tensor tractography at different levels of noise by achieving a reduction in mean Chamfer error of 0.05 to 0.27 voxels; it also produced in vivo fiber tracking that is consistent with the neuroanatomy.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320