A Graph Cut Approach to Regularized Harmonic Estimation for Steady-State MR Elastography

In steady-state magnetic resonance elastography (MRE), quantitative tissue stiffness maps are constructed using the first temporal harmonic of a phase contrast image series. The accuracy of a stiffness map intrinsically depends on the estimated harmonic from which it is derived. Recently, a robust statistical framework for harmonic estimation was proposed, but the associated optimization strategy for performing the estimation was limited to phase-wrap free data. In this work, we describe a novel complex graph cut optimization strategy for harmonic estimation that can operate effectively in the presence of wrapping, and discuss several unique computational challenges associated with this problem.

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