A Continuous Mixture of Tensors Model for Diffusion-Weighted Mr Signal Reconstruction

Diffusion MRI is a non-invasive imaging technique that allows the measurement of water molecular diffusion through tissue in vivo. In this paper, we present a novel statistical model which describes the diffusion-attenuated MR signal by the Laplace transform of a probability distribution over symmetric positive definite matrices. Using this new model, we analytically derive a Rigaut-type asymptotic fractal law for the MR signal decay which has been phenomenologically used before. We also develop an efficient scheme for reconstructing the multiple fiber bundles from the DW-MRI measurements. Experimental results on both synthetic and real data sets are presented to show the robustness and accuracy of the proposed algorithms.

• Type: Conference
• Year: 2007
• Where: ISBI
• Authors: Bing Jian, Baba C. Vemuri, Evren Özarslan, Paul R. Carney, Thomas Mareci
• Keywords: Diffusion-attenuated Mr Signal, ISBI 2007, Medical Imaging, MR Signal, Water Molecular Diffusion