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Abstract #1863

A Study on Total-Variation Regularization for Model-Based Reconstruction in DTI

Kazem Hashemizadeh1, Samer Merchant2, Dong Liang3, Rong-Rong Chen1, Edward Dibella1,2,4, Edward Hsu2, and Leslie Ying5

1Dept. of Electrical and Computer Engineering, University of Utah, SALT LAKE CITY, UT, United States, 2Department of Biomedical Engineering, University of Utah, SALT LAKE CITY, UT, United States, 3Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology, Shenzhen, People's Republic of China, 4Department of Radiology and Imaging Sciences, University of Utah, SALT LAKE CITY, UT, United States, 5Department of Biomedical Engineering, The State University of New York (SUNY) at Buffalo, NY, United States

In this work, we study total-variation (TV) regularization for model-based reconstruction from undersampled DTI data. Various TV regularization methods are examined. Using ex-vivo brain DTI data, we show that imposing TV constraints on DWI provide more reliable quantitative estimates of diffusion than those imposing TV constraints directly on the tensor. A gradient descent algorithm with line backtracking is used for better convergence to optimal solution. For highly undersampled data of 12 diffusion encoding directions and a reduction factor of R=4, we show that good estimates of primary eigen-vector, fractional anisotropy, and mean diffusivity can still be obtained using TV-based regularization.

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