Recent studies show that variations in the rate of $$$T_{1\rho} (R_{1\rho})$$$ reflect changes in the spectral density of the local dipolar fields experienced by protons due to slow molecular motions. The quantitative data for $$$R_{1\rho}$$$ dispersion requires multiple $$$T_{1\rho}$$$-weighted images with different spin lock times (TSLs) and different locking fields, which makes the acquisition time very long. In this work, a signal compensation strategy with low-rank plus sparse model (SCOPE) was used to reconstruct $$$T_{1\rho}$$$-weighted images from highly undersampled data. We provide the reconstructed images, the estimated $$$R_{1\rho}$$$ maps, and the results of $$$R_{1\rho}$$$ dispersion curves at different acceleration factors.
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