MRI with non-linear spatial encoding magnetic fields (SEM) can provide high quality MR images, but there images are usually calculated using iterative optimization procedures. Such reconstruction methods can take a long time to converge, and the results may depend on the initial iteration parameters. We propose a fast, non-iterative image reconstruction method for O-space imaging based on the local K-space and local SEMs and demonstrate its effectiveness for image reconstruction of nonlinear O-space imaging data.
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