Laplacian smoothing ·Arbitrary function→vertex positions ·f→(x1,,xn)T Laplacian smoothing: xi←-xi+hM·△xi 1.Ax =-2Hn vertices move along the normal direction by an amount determined by the mean curvature H. 2. mean curvature flow. Laplacian smoothing • Arbitrary function ⟹ vertex positions • 𝒇 ⟹ 𝒙𝟏, … , 𝒙𝒏 𝑻 • Laplacian smoothing: 𝒙𝑖 ⟵ 𝒙𝑖 + ℎ𝜆 ∙ ∆𝒙𝑖 1. ∆𝒙 = −2𝐻𝒏 ⟶ vertices move along the normal direction by an amount determined by the mean curvature 𝐻. 2. mean curvature flow