An Optimal Transport-Based Restoration Method for Q-Ball Imaging
نویسندگان
چکیده
• W1: Wasserstein-1-distance (see below). • TVW1: Our proposed total variation seminorm for ODF-valued functions (see below). Figure: Q-ball image of the corpus callosum, reconstructed from HARDI data of the human brain, (left) with added white Gaussian noise and (right) our Wasserstein-TV-based reconstruction using a Wasserstein data term. The noise is reduced substantially, while regions with isotropic diffusion are accurately restored or preserved.
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