Image Reconstruction of Under-sampled Signal at Equal Interval using Quadratic Phase Scrambling

Sparse MRI has been introduced to reduce the acquisition time and raw data size by randomly undersampling the k-space data.　However, the image quality depends on the randomness or signal trajectory in k-space even if the reduction factor of signal is the same. In other words, the best signal trajectory depends on the object to be imaged, however, it is impossible in general to know the best signal trajectory for unknown image data. In this paper, we propose a novel image reconstruction technique in which undersampled signal at equal interval is adopted in image reconstruction. To reduce the aliasing artifact due to equally-spaced undersampled signal, we used the phase-scrambler in the acquisition.

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