caa a22 4500 467914265 CHVBK 20180406152857.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s11263-006-6855-7 doi (NATIONALLICENCE)springer-10.1007/s11263-006-6855-7 Basis Tensor Decomposition for Restoring Intra-Voxel Structure and Stochastic Walks for Inferring Brain Connectivity in DT-MRI [Elektronische Daten] [Alonso Ramirez-Manzanares, Mariano Rivera] We present a regularized method for solving an inverse problem in Diffusion Tensor Magnetic Resonance Imaging (DT-MRI) data. In the case of brain images, DT-MR imagery technique produces a tensor field that indicates the local orientation of nerve bundles. Now days, the spatial resolution of this technique is limited by the partial volume effect produced in voxels that contain fiber crossings or bifurcations. In this paper, we proposed a method for recovering the intra-voxel information and inferring the brain connectivity. We assume that the observed tensor is a linear combination of a given tensor basis, therefore, the aim of our approach is the computation of the unknown coefficients of this linear combination. By regularizing the problem, we introduce the needed prior information about the piecewise smoothness of nerve bundles orientation. As a result, we recover a multi-tensor field. Moreover, for estimating the nerve bundles trajectory, we propose a method based on stochastic walks of particles through the computed multi-tensor field. The performance of the method is demonstrated by experiments in both synthetic and real data. Springer Science + Business Media, LLC, 2006 DT-MRI nationallicence DTI nationallicence fiber tractography nationallicence intra-voxel structure nationallicence high angular resolution diffusion imaging nationallicence multi-tensor nationallicence stochastic particle walks nationallicence Ramirez-Manzanares Alonso Centro de Investigacion en Matematicas A.C., Apdo. Postal 402, Gto. 36000, Guanajuato, Mexico aut Rivera Mariano Centro de Investigacion en Matematicas A.C., Apdo. Postal 402, Gto. 36000, Guanajuato, Mexico aut International Journal of Computer Vision Kluwer Academic Publishers 69/1(2006-08-01), 77-92 0920-5691 69:1<77 2006 69 11263 https://doi.org/10.1007/s11263-006-6855-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11263-006-6855-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ramirez-Manzanares Alonso Centro de Investigacion en Matematicas A.C., Apdo. Postal 402, Gto. 36000, Guanajuato, Mexico aut NATIONALLICENCE 700 1- Rivera Mariano Centro de Investigacion en Matematicas A.C., Apdo. Postal 402, Gto. 36000, Guanajuato, Mexico aut NATIONALLICENCE 773 0- International Journal of Computer Vision Kluwer Academic Publishers 69/1(2006-08-01), 77-92 0920-5691 69:1<77 2006 69 11263 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer