We estimate microstructural features of crossing fascicles using Monte Carlo simulations to represent the diffusion attenuation of each fascicle. The measured diffusion-weighted MRI signal is reconstructed as a sparse weighted sum of pre-computed signals and microstructural properties are estimated from the selected fascicle configurations. The consistent results obtained on various synthetic phantoms as well as on in vivo brain data suggest the potential of our method for the quantitative estimation of microstructural features in fascicle crossings.
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