Water-fat separation for fast spin echo imaging in an inhomogeneous field with progressive encoding

摘要

A method to separate two chemically-shifted components of water (w) and fat (f) signals by: (i) estimating the field inhomogeneity beta through a treatment of the residuals of the Moore-Penrose solution of the following equations: cos(alpha_nbeta)*w+cos [alpha_n(1+beta)]*f=real (I_n) and sin(alpha_nbeta)*w+sin [alpha_n(1+beta)]*f=imaginary (I_n), and (ii) using the estimated beta to determine the resulting solution for w and f from the original input signals I_n.