Boxplot of the MADE’s using the four smoothing methods 1–4 representing the first-fourth methods based on 100 replications for three noise models: (a) Riemannian log normal model; (b) log normal model; and (c) Rician model. Smoothed FA curves for the realizations with median MADE for three noise models: (d) Riemannian log normal model; (e) log normal model; and (f) Rician model. In panels (d)–(f), the raw FA curve is the dotted line with circle, true FA curve is the solid line, the estimated FA curve for the first method is the dash-dotted line with circle, the estimated FA curve for the second method is the dotted line, the estimated FA curve for the third method is dash-dotted line and the estimated FA curve for the fourth method is dashed line.