Gradient-Based Optimization for Poroelastic and Viscoelastic MR Elastography

  title={Gradient-Based Optimization for Poroelastic and Viscoelastic MR Elastography},
  author={Likun Tan and Matthew D. J. McGarry and Eli E. W. Van Houten and Ming Ji and Ligin Solamen and John B. Weaver and Keith D. Paulsen},
  journal={IEEE Transactions on Medical Imaging},
We describe an efficient gradient computation for solving inverse problems arising in magnetic resonance elastography (MRE). The algorithm can be considered as a generalized `adjoint method' based on a Lagrangian formulation. One requirement for the classic adjoint method is assurance of the self-adjoint property of the stiffness matrix in the elasticity problem. In this paper, we show this property is no longer a necessary condition in our algorithm, but the computational performance can be as… CONTINUE READING
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