Basis Pursuit Based Algorithm for Intra-Voxel Recovering Information in DW-MRI.

In this work we apply the Basis Pursuit (BP) methodology for recovering the intra-voxel information in Diffusion Weighted MR Images (DW-MRI). We compare the BP approach with a Diffusion Basis Function Estimation (DBFE) algorithm. DBFE approach was previously applied to recover intra-voxel diffusion information in brain DW-MRI. The intra-voxel information is recovered at voxels that contain axon fiber crosses or bifurcations by means of a linear combination of a known diffusion functions. We state the DBFE solution in the signal decomposition context, i.e., the measured DW-MRI signal is decomposed as a linear combination of signals that belongs to a Base of Diffusion Functions (BDF). In this BDF, each signal is a M-dimensional vector in which, each component indicates a coefficient of water diffusion in a known three-dimensional orientation. In this work, we analyze and compare the solution given by DBFE method with a BP methodology. The BP methodology is used in order to select the ...

• Type: Conference
• Year: 2005
• Where: ENC
• Authors: Alonso Ramirez-Manzanares, Mariano Rivera
• Keywords: Diffusion, Diffusion Functions, Diffusion Weighted Mr, ENC 2005