Diusion Magnetic Resonance Imaging (MRI) is able to de- tect the properties of tissue microstructure underneath the voxel through the imaging of water molecules diusion. Many reconstruction methods have been proposed to calculate the Orientation Distribution Function (ODF) from the diusion signal in order to distinguish between a coher- ent ber bundle and crossing of bers. The diusion signal was also used to infer other microstructural information such as the axon diameter, but most often in areas with coherent ber direction such as the corpus callosum. In this work we developed a reconstruction model called Multi- Tensor MAPMRI (MT-MAPMRI) that is an extension of the MAPMRI model which improves the performance of MAPMRI for crossing bers. In particular, it provides i) enhanced signal tting; ii) improved ODFs, iii) a more accurate diameter estimation. The model was tested and val- idated on both simulated and in vivo data.
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