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Abstract #3312

Improving the SNR and Correcting the Bias in Elastograms in Helmholtz Inversion for MR Elastography

Cemre Ariyurek1,2, Yusuf Ziya Ider1, and Ergin Atalar1,2
1Department of Electrical and Electronics Engineering, Bilkent University, Ankara, Turkey, 2National Magnetic Resonance Research Center (UMRAM), Ankara, Turkey

In Helmholtz inversion an equation is obtained for each MR elastography displacement data collected for each motion direction and each excitation frequency. Under high SNR, SNR of the estimated elasticity map by the Helmholtz inversion can be derived. Prior to the inversion, each equation can be weighted by the SNR of the elasticity estimate to improve SNR of the elastogram and low SNR ones can be thresholded to reduce bias in the elasticity estimation. Simulation and experiment results demonstrate that the original inversion underestimates the elasticity when there is noise and this bias can be corrected by the proposed reconstruction.

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