Math @ Duke

Publications [#264868] of Guillermo Sapiro
Papers Published
 Aganj, I; Lenglet, C; Sapiro, G; Yacoub, E; Ugurbil, K; Harel, N, Multiple Qshell ODF reconstruction in Qball imaging.,
Med Image Comput Comput Assist Interv, vol. 12 no. Pt 2
(2009),
pp. 423431 [20426140]
(last updated on 2018/02/22)
Abstract: Qball imaging (QBI) is a high angular resolution diffusion imaging (HARDI) technique which has been proven very successful in resolving multiple intravoxel fiber orientations in MR images. The standard computation of the orientation distribution function (ODF, the probability of diffusion in a given direction) from qball uses linear radial projection, neglecting the change in the volume element along the ray, thereby resulting in distributions different from the true ODFs. A new technique has been recently proposed that, by considering the solid angle factor, uses the mathematically correct definition of the ODF and results in a dimensionless and normalized ODF expression from a single qshell. In this paper, we extend this technique in order to exploit HARDI data from multiple qshells. We consider the more flexible multiexponential model for the diffusion signal, and show how to efficiently compute the ODFs in constant solid angle. We describe our method and demonstrate its improved performance on both artificial and real HARDI data.


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