The main assumption of fiber-tracking algorithms is that fiber trajectories are represented by paths of highest diffusion, which is usually accomplished by following the principal diffusion directions in every voxel. The state-of-the-art approaches known as “global tractography” reconstruct all the fiber tracts of the whole brain simultaneously by solving global energy minimization inverse problems. In this work we have reformulated global tractography to explicitly enforce anatomical priors in the optimization with the aim of (i) improving the quality of reconstructions and (ii) reducing the computation time.