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Learning Optimal K-Space Acquisition and Reconstruction Using Physics-Informed Neural Networks

CVPR 2022 · Probabilistic and scientific modeling › Differential equations and PDEs · approach: Structured continuous-depth models · 22 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Learn the k-space trajectory jointly with image reconstruction rather than use a fixed trajectoryMRI acquisition and U-Net reconstruction · AXT1 and AXT1POST brain images; Cartesian, radial and spiral samplingPSNR: 24.24 \pm 0.83 -> 24.98 \pm 0.85; 30.18 \pm 0.73 -> 33.06 \pm 1.23Helped
Use neural ODE trajectory optimization instead of PILOT's learnable-matrix acquisition optimizationRadial acquisition and reconstruction · AXT1POST, 16-shots and 32-shotsPSNR: 28.62 \pm 0.66 -> 31.03 \pm 0.59; 31.24 \pm 0.61 -> 33.06 \pm 1.23Helped
Add MRI gradient-amplitude and slew-rate constraints to trajectory optimization (ablation)Neural ODE trajectory optimization · Cartesian and non-Cartesian MRI acquisitionhardware feasibilityHelped
Use learned rather than fixed trajectoriesMRI acquisition and reconstruction · AXT1 and AXT1POST brain images; all reported acceleration levels and sampling patternsSSIMHelped
Remove trajectory optimization and train only the reconstruction U-Net (ablation)Joint acquisition and reconstruction framework · Brain and knee MRIreconstruction qualityHurt

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