Abstract #4473

A Theoretical Analysis of the Morphology Enabled Dipole Inversion (MEDI) Method: using Anatomical Information to Improve the Calculation of Susceptibility

Tian Liu^1,2, Weiyu Xu³, Amir Salman Avestimehr³, Yi Wang^1,2

¹Biomedical Engineering, Cornell University, Ithaca, NY, United States; ²Radiology, Weill Cornell Medical College, New York, NY, United States; ³School of Electrical & Computer Engineering, Cornell University, Ithaca, NY, United States

The inverse problem from magnetic field to susceptibility source is ill-posed. Even in a noise-free senario, there are infinite number of solutions fulfilling the observation, and a little error in the input data will result in severe noise propagation in the final outcome. In this abstract, we provide a detailed analytical and numerical analysis to demonstrate that the Morphology Enabled Dipole Inversion (MEDI) approah provides a unique and accurate solution under ideal conditions, and the error of the reconstruction is tightly bounded by the error in the gradient echo image in the presence of Gaussian noise.