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Objectives: To develop a joint k-TE reconstruction algorithm to reconstructthe T2-weighted (T2W) images and T2 map simultaneously.  Materials and Methods: The joint k-TE reconstruction model was formulated asan optimization problem subject to a self-consistency condition of theexponential decay relationship between the T2W images and T2 map. The objectivefunction included a data fidelity term enforcing the agreement between thesolution and the measured k-space data, together with a spatial regularizationterm on image properties of the T2W images. The optimization problem was solvedusing Alternating-Direction Method of Multipliers (ADMM). We tested the jointk-TE method in phantom data and healthy volunteer scans with fully-sampled andunder-sampled k-space lines. Image quality of the reconstructed T2W images andT2 map, and the accuracy of T2 measurements derived by the joint k- TE and theconventional signal fitting method were compared.  Results: The proposed method improved image quality with reduced noise andless artifacts on both T2W images and T2 map, and increased measurementconsistency in T2 relaxation time measurements compared with the conventionalmethod in all data sets.  Conclusions: The proposed reconstruction method outperformed the conventionalmagnitude image-based signal fitting method in image quality and stability ofquantitative T2 measurements

Joint k-TE Space Image Reconstruction and Data Fitting for T2 Mapping