Motofumi Fushimi1, Naohiro Eda1, and Takaaki Nara1
1The University of Tokyo, Tokyo, Japan
1The University of Tokyo, Tokyo, Japan
A novel MRE reconstruction method that solves a linear integral equation derived from Helmholtz’s identity without calculating higher-order derivatives of the data, nor solving a nonlinear minimization problem is presented. Our preliminary study showed the feasibility of the method.
Figure 2: Shear modulus and viscosity maps for the cylinder model when no noise is added. (a) The true maps, (b) the reconstruction results of the conventional method, and (c) the reconstruction results of the proposed method. The table at the bottom shows the normalized L2 errors associated with each method.
Figure 4: Shear modulus and viscosity maps for the sphere model when 1% Gaussian noise is added. Each figure shows results for all eight slices. (a) The true maps, (b) the reconstruction results of the proposed method with no regularization and (c) the reconstruction results of the proposed method with TV regularization.