Fairing ·Goal:compute shapes that are as smooth as possible ·Steady-states of the flow: ·Lx=0 ·Lkx=0 Figure 4.8.The blue region is determined by minimizing a fairness functional: membrane surface (Ax =0,left),thin-plate surface (A2x =0,center),and minimum variation surface(A3x=0,right).The order k of the Euler-Lagrange equation Ax=0 determines the maximum smoothness Ck-1at the boundary. (Image taken from [Botsch and Kobbelt 04a].C2004 ACM,Inc.Included here by permission.)Fairing • Goal: compute shapes that are as smooth as possible • Steady-states of the flow: • 𝐿𝒙 = 0 • 𝐿 𝑘𝒙 = 0 • …