Fig. 3.

Convexity and convergence of mesh-based spherical deconvolution. 100 simulated crossing fiber voxels were generated with the same parameters as in Fig. 2. Top: mean (across 100 simulations) value of ${\left|\right|\mathbf{Ax}-\text{b}\left|\right|}_2^2+\mathbf{\tau }{\left|\right|\mathbf{Dx}\left|\right|}_p^p$ with respect to iteration number for FOD estimation using projected gradient descent. Bottom: convergence plot for FOD estimation with the projection step disabled.