This abstract presents a novel method for diffusion tensor image (DTI) directly from highly under-sampled data acquired at multiple diffusion gradients. This method formulates the diffusion tensor estimation as a problem of parametric manifold recovery. We solve the recovery problem by alternatively shrinking the diffusion weighted images, estimating diffusion tensor, and enforcing data consistency constraint. The experimental results demonstrate that the proposed method is able to reconstruct the diffusion tensors accurately at high acceleration factors with low computational complexity.
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