Accurate Estimation of T1 from SPGR Signals

Cheng Guan Koay, Peter J. Basser, Carlo M. Pierpaoli · 2008

i i s y α = , ) tan( / i i s i x α = , 1 E b = , and ) 1 ( 1 0 E M a − = . The proposed WLLS method also estimates T1 and M0 from equation (3) by minimizing another objective function (5), where yi, xi, a, and b have the same definition as in the LLS method. The weighting function in equation (5) can be derived directly from equation (2) or by using error propagation analysis (8).

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