Abstract #3525

# Fast Image Reconstruction for Non-Cartesian Acquisitions in the Presence of B0-inhomogeneities

Mirco Grosser1,2 and Tobias Knopp1,2
1Section for Biomedical Imaging, University Medical Center Hamburg-Eppendorf, Hamburg, Germany, 2Institute for Biomedical Imaging, Hamburg University of Technology, Hamburg, Germany

We propose a fast algorithm for the reconstruction of non-cartesian acquisitions with B0-inhomogeneity. The proposed method uses a new SVD-based approximation of the B0-aware imaging operator in combination with diagonal k-space preconditioning. The proposed SVD-based approximation adaptively determines the required number of basis functions and thus reduces the computational effort. Furthermore, we present a method to efficiently compute the $$\ell_2$$\$-optimal diagonal k-space preconditioner taking into account the B0-map. The obtained preconditioner closely matches the one without B0-map. Our experiments demonstrate the fast convergence and reduced computational costs of the proposed method.

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