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BLAKJac - A computationally efficient noise-propagation performance metric for the analysis and optimization of MR-STAT sequences
Miha Fuderer1,2, Oscar van der Heide1,2, Cornelis A. T. van den Berg1,2, and Alessandro Sbrizzi1,2
1Computational Imaging Group for MR Diagnostics and Therapy, Center for Image Sciences, University Medical Center Utrecht, Utrecht, Netherlands, 2Department of Radiology, Division of Imaging and Oncology, University Medical Center Utrecht, Utrecht, Netherlands
A computationally efficient performance metric is proposed to study the efficacy of MR-STAT acquisitions. The metric is derived from the analysis of the block-diagonal of the spectral representation of the Jacobian.
Figure 4: Reconstructed parameter maps and BLAKJac-estimated frequency-domain plots of variances of the noise (bottom row); left: Original sequence; right: Optimized sequence. In the images, narrow windowing has been applied to visualize the noise. Vertical axis of the graphs is the noise variance, arbitrary units, but same scale between the two graphs. The graphs show the noise-enhancement for the high phase-encoding values in the Original sequence, which is seen in image as high-spatial-frequency noise in the corresponding images.
Figure 2: Flip-angle sequence (blue) and phase-encode values (orange) for the four evaluated sequences