Figure 4.

Fibre dispersion quantified from the DT-MRI dataset. (a) shows the in-plane angle Θ and (b) the out-of-plane angle Φ across the LV ventricular wall; (c) is the in-plane dispersion distribution with fitted ρ(Θ, b₁) and (d) is the out-of-plane dispersion distribution with fitted ρ(Φ, b₂); (e) a three-dimensional surface plot defined by the vector ρ(Θ, Φ) f(Θ, Φ) with ρ(Θ, Φ) = ρ(Θ, b₁) ρ(Φ, b₂). The negative angle in (a) suggests the in-plane fibre vector lies in the fourth quadrant (+c₀ and −l₀), and similarly in (b) for the out-of-plane fibre vector, which lies in the fourth quadrant of plane (−l₀ and +r₀). All values are used for determining the in-plane and out-of-plane dispersions in (c) and (d).