Volume-Preserving Parameterization

Loading the brain…

Brain Ball

volume ratio 1±15% or more

Surface Contours

∥·∥₂ ∥·∥_M

β = 0 1.4

Decrease along p(β)

Sufficient decreaseφ(α) ≤ φ(0) + c₁αφ′(0)

Curvature|φ′(α)| ≤ c₂|φ′(0)|

c₁ = 0.1, c₂ = 0.2 (0 < c₁ < c₂ < ½).

k = 0100